Curriculum Vitae

Alexander Iosevich
Department of Mathematics
University of Rochester
Last updated: March 22, 2024

Contents:

Personal Information
Education
External Funding
Positions Held
Research Interests
News articles
Practical skills
Graduate students
Undergraduate students
Research programs for undergraduate students
Conferences Organized
Editorial Board Membership
Selected Community Educational and Professional Activities
Teaching Awards
Selected invited talks
Elementary/High school student mentoring
Invited talks and research stays
Lecture series
Published Papers and Papers Accepted for Publication

Personal Information:

Email: iosevich@math.rochester.edu
Date of Birth: December 14, 1967
Citizenship: United States of America

Education:

June 1993, Ph.D. in Pure Mathematics, University of California at Los Angeles (UCLA)
     Thesis: "Maximal operators associated to families of flat curves and hypersurfaces"
      Advisor: Christopher Sogge
June 1989, BS in Pure Mathematics, University of Chicago

Awards and Honors:

AMS Fellow, Class of 2014
Professor of the Year Award in the Natural Sciences, University of Rochester, 2015

External Funding:

Positions Held:

July 1, 2010-Present, Professor of Mathematics, University of Rochester, Rochester, NY
September 1, 2005-May 31, 2010, Professor of Mathematics, University of Missouri-Columbia, Columbia, Missouri
January 1, 2008-July 31, 2008, Visiting Faculty and Program Organizer, Fields Institute of Mathematics, Toronto, Canada
September 1, 2002 to August 31, 2005, Associate Professor in Department of Mathematics, University of Missouri-Columbia,
Columbia, Missouri
July 2000 to September 2002, Assistant Professor in Department of Mathematics, University of Missouri-Columbia, Columbia, Missouri
May 2000 to April 2001, tenured Associate Professor in Department of Mathematics,
Georgetown University, Washington, District of Columbia
July 1998 to May 2000, Assistant Professor in Department of Mathematics,
Georgetown University, Washington, District of Columbia
Summer 1999, University of Illinois at Chicago, joint research with N. Katz facilitated by a CRB Grant.
September 1995 to December 1998, Assistant Professor in Department of
Mathematics, Wright State University, Dayton, Ohio
June/July 1998, Visiting Research Fellowship, University of New South Wales, Sydney, Australia.
Fall 1997, General Membership at the Mathematical Sciences Research Institute, Berkeley, California
September 1993 to September 1995, Postdoctoral Fellow, McMaster University,
Hamilton, Ontario, Canada
September 1989 to September 1993, Graduate Student, Teaching Assistant and
Research Fellow, UCLA, Los Angeles, California

Research Interests:

Harmonic Analysis and Geometric Measure Theory
Data Science and Neural Networks
Additive Number Theory and Discrete Geometry
Analytic Number Theory

News Articles

"Nasty" geometry breaks decades-old tiling conjecture - Quanta magazine article

"Why this Rochester math professor champions year-round undergraduate research" - University of Rochester News Center article

"Alex Iosevich named Fellow of the American Mathematical Society" - University of Rochester News Center article

"Research at Rochester: Sammartino's mathematical explorations" - University of Rochester, Campus Times article

"Doctor's advice"- Careers magazine article about job search for Ph.Ds.

"UR's Covid-19 budget cuts lead to faculty frustrations" - University of Rochester, Campus Times article

"Mathematics students gain retail analytics experience through Parker Avery partnership" - Parker Avery Group podcast

Practical skills:

Python, Maple, Machine Learning, Reinforcement Learning, Sales Forecasting Models, Technical Documentation

Graduate students:

Ryan Mullen (Masters 2002) Prognos Inc.
Daniel Weidinger (Masters 2003) SETA Test Scientist at Shafer Corporation
George Arutunyants (Ph.D. 2006) The head of analytics at Prognos Inc.
Derrick Hart (Ph.D. 2008) Assistant Professor of Mathematics
Doowon Koh (Ph.D. 2008) Associate Professor of Mathematics at Chungbuk University, Korea
Janet Sipes (M.S. 2009) Arizona State University (graduate student)
Hannah Morgan (M.S. 2009) University of Chicago (graduate student)
Jeremy Chapman (Ph.D. 2010) Associate Professor of Mathematics at Lyons College, Arkansas
Steven Senger (Ph.D. 2010) Assistant Professor of Mathematics at the Missouri State University
Le Anh Vinh (Ph.D. 2011) Professor at the University of Hanoi
David Covert (Ph.D. 2011) Assistant Professor of Mathematics at the University of Missouri-St. Louis
Krystal Taylor (Ph.D. 2012) Assistant Professor of Mathematics at the Ohio State University
Esen Aksoy (Ph.D. 2014) Texas A&M University in Qatar
Mike Bennett (Ph.D. 2015) Visiting Assistant Professor at the Rochester Institute of Technology
Dillon Ethier (Ph.D. 2016) Seeking employment in statistical consulting industry
Brendan Murphy (Ph.D. 2016) Heilbron Postodoctoral Researcher at the University of Bristol
Bochen Liu (Ph.D. 2017) Postdoctoral Resercher at Bar-Ilan University, Israel
Philipp Birklbauer (Ph.D. 2019) Computer programmer in Chicago, Illinois
Dionel Jamie (Masters 2019) Ph.D. student at the University of Wisconsin-Madison
Nik Chatzikonstanti (Ph.D. 2020) Posdoctoral Researcher at the Okinawa Institute of Technology
Jonathan Passant (Ph.D. 2021) Heilbron Postdoctoral Researcher at the University of Bristol
Alex McDonald (Ph.D. 2021) Postdoctoral researcher at Ohio State University
Belmiro Galo (Ph.D. 2021) Visiting Assistant Professor of Mathematics at Colgate
Brianna Vick (Ph.D. 2021) Assistant Professor of Mathematics at Clayton University
Gail Jardine (Ph.D. 2022) Defense Contractor, Virginia
Tingsong Jiang (Ph.D. 2022) Seeking a position in Big Data
Tritium Shen (Ph.D. 2022-expected) Data Science internship, Houston, TX
Shashank Chorge (Ph.D. 2023) Postdoctoral researcher at IIT
Brian McDonald (Ph.D. 2023) Postdoctoral researcher at UGA
Anirudh Gurjale (Ph.D. 2022-expected)
Firdavs Rakhmonov (Ph.D. 2023-expected)
Shashank Chorge (Ph.D. 2023-expected)
Donggeun Ryou (Ph.D. 2024-expected)
Pablo Bhowmick (Ph.D. 2025-expected)
Shengze  Duan (Ph.D. 2025-expected)
Quy Pham (Ph.D. 2026-expected)
Hari Nathan (Ph.D. 2026-expected)
Ella Yu (Ph.D. 2028-expected)

Undergraduate students:

The following is the list of students who completed an undergraduate honors thesis under my direction.

Xiaoqing Tang (2012) Microsoft
Emmett Wyman (2014) Johns Hopkins University (graduate student in mathematics) and now a postdoc at Rochester
Yujia Zhai (2014) Cornell University (graduate student in mathematics) and now a postdoc at Bordeaux
Luke Vaicunas (2015) Parker Avery
Brian McDonald (2016) University of Chicago (graduate student) and now a graduate student at Rochester
Lisa Rosenfeld (2016) FDIC Pittsburgh
Adam Scrivener (2016) Epic Systems, Madison, WI
Ben Dees (2017) Johns Hopkins University, Baltimore, MD (graduate student in mathematics)
Daniel Rubery (2017) Google
Adam Lott (2017) University of California Los Angeles (graduate student in mathematics)
David Soukup (2018) University of California Los Angeles (graduate student in mathematics) 
Dionel Jaime (2018) University of Wisconsin (graduate student in mathematics)
Zhonghui Sun (2018) Michigan State University (graduate student in mathematics)
Manuel Stoeckl (2019) Dartmouth University (graduate student in computer science)
Zachary Polansky (2019) Google
Byron Osterweil (2020) University of California-Irvine (graduate student in mathematics)
Dustin Kasser (2020) University of Georgia (graduate student in mathematics)
Linus Ge (2021) Ohio State University (graduate student in mathematics)
Xiaobo Luo (2021) Harvard University (graduate student in data science)
Yiyang Su (2021) Michigan State University (graduate student in computer science)
Mandar Juvekar (2022-Expected) Boston University (graduate student in computer science)
Arian Nadjimzadah (2022-Expected) UCLA (graduate student in mathematics)
Conor Taliancic (2022) Taking a gap year
Nathan Whybra (2022) Computer programmer
Thomas O'Neill (2022) Taking a gap year
Cierra Tinson (2022) Michigan State University (graduate student in physics)
Michele Martino (2022) University of Washington (graduate student in applied math/data science)
Filippo Iulianelli (2022) University of Pennsylvania (graduate student in physics)
Anna Myakushina (2023) University of Maryland (graduate student in statistics)
Livia Betti (2023) Taking a gap year
Yakun Yang (2023) University of Michigan (graduate student in statistics)
Yun Long Xu (2023) University of Chicago (graduate student in neuro-science)
Rachel Dennis (2023) Newgrange design (PCB designer)
Elana Elman (2024) (expected)
Peter MacNeil (2024) (expected)
Svetlana Pack (2024) (expected)
Eli Seamans (2024) (expected)
Nathan Skerrett (2024) (expected)

Research programs for undergraduate students

2002-2010: Informal summer research programs for undergraduate students at the University of Missouri.
2011-Present: Informal summer research programs for undergraduate students at the University of Rochester and neighboring colleges and universities.
2018-Present: StemForAll summer research program at the University of Rochester with special emphasis on participants who are women and members of underrepresented groups.
2019-2023: NSF Tripods Research Program in mathematical methods in data science with special emphasis on participants who are women and members of underrepresented groups.
2021-Present: Year-round undergraduate research program in applied and theoretical aspects of data science

Conferences organized:

CIMPA workshop on analysis and probability in Armenia, July 2024
International Conference on Microlocal Analysis, Harmonic Analysis and Inverse Problems, August 2022
CIRM (Luminy) workshop on geometric measure theory, ergodic theory and combinatorics, January 2021
ICERM workshop on Frame Theory and Exponential Bases, June 4-8, 2018
Excelsior Lectures in Analysis, with L. Lanzani, September 2017 at Syracuse University.
Excelsior Lectures in Analysis, with L. Lanzani, September 2016 at the University of Rochester.
International Conference on Harmonic analysis and Applications, with A. Mayeli and G. Olafsson, June 2015.
AMS Special Session, Rochester, NY, special session in memory of Daryl Geller, with A. Mayeli.
Fields Institute Program, entitled "Trends in Harmonic Analysis", January 1- June 30, 2008, (with I. Laba, M. Lacey, and E. Sawyer).
AMS Special Session, Davidson, North Carolina, March 2007 (with M. Lacey and K. Oskolkov).
AMS Special Session, Salt Lake City, Utah, October 3-5, 2006 (with M. Lacey).
Combinatorial and additive number theory (CANT 2005). A conference in celebration of Mel Nathanson's 60^th birthday. (Member of the organizing committee).
CMS conference at Simon Fraser University in Vancouver (with I. Laba), December 6-8, 2003.
ESI (Schrodinger Insitute in Vienna) Workshop on mathematics related to the Kakeya Needle Problem, (with I. Laba and D. Muller), Vienna, Austria, Fall 2003.
A conference on Harmonic Analysis and Partial Differential Equations at the University of Missouri, May 8-11, 2002, (with L. Grafakos, S. Hofmann, and I. Verbitsky).
Workshop on convexity and Fourier analysis, (with L. Brandolini, L. Colzani, and G. Travaglini), Milan, Italy, June 2001.

Editorial Board Membership:

In 2008, Izabella Laba, Sinai Robins and I launched a new journal- Online Journal of Analytic Combinatorics, or OJAC for short. The current managing editors of the journal are Eyvindur Palsson and Steven Senger. The current advisor board consists of Alez Iosevich, Sinai Robins and Steven Senger. Please check out the OJAC web page at http://www.analytic-combinatorics.org/index.php/ojac
Journal of Pseudo-Differential Operators and Applications 2008-Present
Harmonic analysis editor of the Proceedings of the American Mathematical Society 2011-January 2020
Member of the editorial board of the Journal of Fourier Analysis and Applications 2016-Present
Carus Manuscripts (MAA) Editorial Board January 2017-Present
Integers Journal Editorial Board October 2016-Present
Fractals and Fractional Editorial Board 2021-Present
Research in Mathematical Sciences Editorial Board 2022-Present
Associate Editor of the Canadian Mathematical Society Publications Committee, 2023-Present
Associate Editor of the Canadian Journal of Mathematics, 2023-Present
Associate Editor of the Canadian Mathematical Bulletin, 2023-Present

Selected educational and administrative activities:

Member of the Advisory Board of the Vietnam Math Circles, January 2024-Present
Member of the Best Paper in the Mathematical Society panel established by the City of Beijing and executed by the Yanqi Beijing Institute of Mathematical Sciences and Applications, 2023
Associate Editor of the Canadian Mathematical Society Publications Committee, 2023-2025
Member of the University of Rochester AAUP Chapter, July 2020-Present.
Meliora Committee (advisory committee to the Chair of the Department of Mathematics) August 2019-April 2020.
Committee on salary gender equity, University of Rochester, member, September 2018-May 2019.
GradStemForAll summer program with emphasis on women and underrepresented groups, 2018-Present.
American Engagement Network, member, April 2018-Present.
AQUAD Review University of Massachusetts-Boston, March 2018.
Mentored Allen Liu, an Intel High School Science Competition Finalist, 2016.
The Classical Analysis moderator for arxiv.org, September 2014-2021.
Member of the Math Arxiv advisory committee, April 2014-Present.
Summer research program for undergraduate students at the University of Rochester, June-August 2011-Present.
Director of Graduate Studies at the University of Rochester Department of Mathematics, January 2010-August 2014. 
Member of the AMS Committee on Meetings and Conferences, January 2009-April 2012.
Summer program for high school students on Fourier analysis in finite fields at the University of Missouri, July 24-28, 2006.
Campus Writing Program's Fall 2005 Faculty Workshop.
Summer program for high school students on the Erdos distance problem at the University of Missouri, August 1-5, 2005.
Putnam coach, University of Missouri-Columbia, 2000-2009.
MU McNair scholars program- departmental liason, 2004-2010.
Summer program for high school students on geometric combinatorics at the University of Missouri, August 9-13 2004.
Volunteer for the 2004 MAA High School Lectureship Program.
Faculty mentor for the University of Missouri summer minority outreach program, Summer 2003, mentor for Ivy Hunter.
Participant in the Teaching Renewal Conference at the University of Missouri 2002.
Member of the Judge Panel of the 2000 USA College Academic Team. Sponsored by USA TODAY, 2000.
High School Outreach Program, sponsored by Wright State University, 1996.
Volunteer tutor, Bret Harte Elementary School, Chicago, Illinois, 1986.

Elementary/High school student mentoring:

Tyler Jones-Salisbury (2005-2009)
Allen Liu (2014-2017)
Davey Fitzpatrick (2015-2018) 
Ty Lewis (2020-2021)
Noah Lee (2019-2020)
Maxwell Sun (2019-2022)
Kevin Xue (2021-2022)
Amy Fang (2021-2022)
Surya Ramkumar (2022-2023)
Meera Jayaraman (2023-Present)

Teaching Awards:

Professor of the Year Award in the Natural Sciences, University of Rochester, 2015
Nominated for the University of Missouri Kemper Award for Excellence in Teaching, 2008 and 2009.
Nominated for Provost's Outstanding Junior Faculty Teaching Award, University of Missouri, 2003
Wolper's house teaching award, University of Missouri, 2001.
Wright State University Athletics Department Award, 1997.
Wright State University Athletics Department Award, 1995.
Nominated for Undergraduate Student Government Teaching Award at McMaster University, 1994.

Selected Invited Talks

September 2024 A series of invited lectures at the Hausdorff Institute in Bonn, Germany
January 2023 An invited plenary lecture at the Renyi Institute conference on Fourier Analysis and Additive Problems
 Title: Uniform distribution and pseudo-randomness
July 2023 An invited plenary talk at the 1st International Forum in Basic Science, Beijing, China
 Title: Graphs and multi-linear operators
April 2023 An invited Pi Mu Epsilon Lecture at the University of Nebraska-Lincoln
 Title: From analysis to combinatorics to number theory and back
March 2023 An invited plenary talk at Harmonic Analysis and Fractal Sets Conference at the Ohio State University
 Title: Fractal analysis and complexity theory
February 2019 A plenary lecture at the Weitzmann Institute Conference in honor of Alexander Olevskii
 Title: Geometric measure theory and applications to frame theory
September 2018 A plenary lecture at the 7th International Conference "Harmonic Analysis and Approximation", Armenia
 Title: Finite point configurations and frame theory
February 2018 A lecture series on the Falconer Conjecture at the Louisiana State University
 Title: Falconer distance conjecture and applications to functional analysis
September 2017 A plenary lecture at the conference at the University of Wroclaw in honor of Eli Stein
 Title: Finite point configurations, Hausdorff dimension and rigidity
October 2016 A plenary lecture at the Integers Conference in Georgia
 Title: Geometric configurations in vector spaces over finite fields
September 2016 A keynote address at the combinatorial geometry conference in Hanoi, Vietnam
 Title: Analytic, combinatorial and number theoretic methods in the study of finite point configurations
May 2015 A plenary lecture at the Complex Analysis and Dynamical Systems VII conference in Nehariya, Israel
 Title: The Fuglede Conjecture holds in two dimensional vector spaces over prime fields.
August 2012 A lecture series at Chungbuk University, South Korea
  Title: Multi-linear bounds and applications to geometric measure theory and combinatorics
March 2012 An invited lecture at the analysis seminar at Princeton University
  Title: Distribution of simplexes in discrete and continuous settings and multi-linear operators
June 2011 An invited lecture at the Edinburgh Workshop on Harmonic Analysis
  Title: Geometric consequences of analytic inequalities
September 2008, An invited lecture at the Oberwolfach (Germany) meeting on Discrete Geometry
  Title: Geometric configurations in Euclidean, integer and finite field geometries: combinatorial and algebraic aspects
July 2008, An invited lecture at the Oberwolfach (Germany) meeting on Harmonic Analysis
  Title: Geometric configurations in Euclidean, integer and finite field geometries
April 2008, An invited lecture at the Fields Institute (Toronto, Canada) Conference on Additive Number Theory
  Title: Distribution of dot products in vector spaces in finite fields and applications to problems in additive number theory and geometric combinatorics
October 2007, A plenary address to the American Mathematical Society at DePaul University, Chicago
  Title: Incidence theory: discrete, continous and arithmetic aspects
March 2007, A plenary address to the American Mathematical Society at Davidson College, North Carolina
  Title: Incidence theory: discrete, continous and arithmetic aspects
November 2006, A lecture series on harmonic analysis at the University of Bristol (four lectures)
  Title: Harmonic analysis in vector spaces over finite fields
May 2006, CUNY, New York, CANT 2006 (three lectures)
  Title: "Three lectures on analytic, combinatorial and number theoretic aspects of incidence theory"
May 2003, Princeton University Analysis Seminar
  Title: Combinatorics of distance sets and applications
April 2003, Riviere-Fabes Symposium in Analysis
  Title: Analysis and combinatorics of distance set
March 2003, The Erwin Schrodinger International Institute (Vienna, Austria) for Mathematical Physics
  Title: Analysis and combinatorics of distances sets
June 2002, University of Padova (Padova, Italy), Minicorsi di Analisi Matematica (three lectures)
  Title: "Geometric combinatorics and applications to analysis"

Invited Talks and Research Stays: (408 lectures)

Countries: Argentina, Armenia, Australia, Austria, Canada, Catalonia, Czech Republic, China, England, Finland, France, Georgia, Germany, Greece, Hungary, Israel, Italy, South Korea, Poland, Russia, Scotland, Spain, Turkey, Ukraine, Vietnam, Wales.

2024 (408)

September, 2024, A series of four invited lectures on learning theory and signal processing at the Hausdorff Institute in Bonn, Germany
September 2-7, 2024, An invited plenary lecture at the XIV International Conference of the Georgian Mathematical Union
 Title: Uncertainty principles, restriction theory and signal recovery
August 28-31, 2024, An invited plenary lecture at the Tbilisi Analysis and PDE workshop
 Title: Finite point configurations, graphs and multi-linear forms
July 23-26, 2024 An invited lecture at the Special Session on point configurations, energy, designs and discrepancy at the second joint UMI-AMS meeting in Palermo, Italy
 Title: Multi-linear forms, graphs, and operator bounds
July 15-19, 2024 An invited series of three lectures on Falconer type problems at the IBS Workshop on Combinatorics and Geometric Measure Theory
 Title: Falconer type problems: discrete, analytic and arithmetic perspectives
July 2024 An invited lecture at the Conference on Pointwise Ergodic Theory and Connections in Bristol, England
 Title: Weighted restriction theorems and the uncertainty principle
June 9-14, 2024 An invited lecture at the Banff conference, On the interface of geometric measure theory and harmonic analysis
 Title: Pure and applied aspects of exact signal recovery
June 2024 An invited lecture at the ICERM workshop on Optimal Point Distributions and Related Fields
 Title: Restriction theory, uncertainty principles and arithmetic
May 2024 An invited talk at the MATRIX conference at ANU, Australia
 Title: Restriction theory, point configurations and complexity
May 2024 Number Theory Seminar, Istanbul
 Title: Exact signal recovery and restriction theory
May 2024, Analysis Seminar at the University of Iraklion
 Title: Exact signal recovery and restriction theory
April 22, 2024 An invited seminar lecture at Brown University
 Title: Multi-linear forms, graphs and Lp-improving measures\
March 23-24, 2024 An invited lecture in the AMS Special Session on Geometric Measure Theory and Partial Differential Equations in Tallahassee, Florida
 Title: Multi-linear forms, graphs and Lebesgue spaces 
March 23-24, 2024 An invited lecture in the AMS Special Session on Bases and Frames in Hilbert Spaces in Tallahassee, Florida
 Title: Restriction theory, uncertainty principles and signal recovery
March 19, 2024 An invited seminar lecture at the Tbilisi Analysis and PDE seminar
 Title: Uncertainty principle, restriction theory and signal recovery
March 4, 2024 An invited introductory lecture for graduate students at the Pittsburgh Links Among Analysis and Number Theory conference at Carnegie Melon University
 Title: Restriction theory, uncertainty principles and signal recovery
March 4-7, 2024 An invited plenary lecture at the Pittsburgh Links Among Analysis and Number Theory conference at Carnegie Melon University
 Title: Uncertainty principles, geometry and combinatorics
March 1, 2024 An invited lecture at the Workshop on Dynamical Sampling, Frame Theory, Harmonic Analysis, and Applications in Vanderbilt
 Title: Restriction theory, uncertainty principles and signal recovery
February 29, 2024 An invited analysis seminar lecture at Binghamton University
 Title: Signal recovery, restriction and uncertainty principles
January 29-February 2, 2024 An invited plenary lecture at the Renyi Institute conference on Fourier Analysis and Additive Problems
 Title: Uniform distribution and pseudo-randomness

2023 (382)

December 8-10, 2023, Analysis Conference at Georgia Tech
 Title: Exact signal recovery and restriction theory
November 2, 2023 Colloquium talk at Cornell University
 Title: Curvature, restriction and signal recovery
October 6, 2023 HSA Conference
 Title: Exact signal recovery and restriction theory
September 22-24, 2023, International Conference on Approximation and Potential Theory, Savannah, GA
 Title: Exact signal recovery and restriction theory
September 15, 2023 University of Rochester Analysis Seminar
 Title: Exact signal recovery and restriction theory
August 2023 An invited series of lectures at the Informal Analysis Seminar at Kent State University (four lectures)
 Title: Geometric measure theory and data science
July 17-19, 2023 An invited plenary lecture at the Vietnam National University Geometry Conference
 Title: Finite point configurations: challenges and opportunities
July 2023 An invited lecture series at the University of Harbin, China (6 lectures)
 Title: Geometric measure theory and applications
July 2023 An invited lecture at the University of Tbilisi, Georgia
 Title: Finite point configurations and complexity
July 2023 An invited lecture at the Mathematics in Armenia: Advances and Perspectives conference in Yerevan, Armenia
 Title: Finite point configurations: analytic, combinatorial, and number theoretic features
June 29, 2023 An invited lecture at the Number Theory Web Seminar
 Title: Applications of lattice point bounds to data science
June 2023 An invited talk the Harmonic analysis, partial differential qquations and geometric measure theory in Bilbao 2023 conference
 Title: Learning theory, complexity and point configurations
June 4-9, 2023 A research visit to Oberwalfach (MFO) program Incidence problems in Harmonic analysis, geometric measure theory and ergodic theory
May 2023 An invited talk at the annual meeting of the Italian harmonic analysts in Milan, Italy
 Title: Times series, complexity and learning theory
May 2023, An invited talk at Combinatorics and Number Theory Conference at CUNY
 Title: A variant of the Erdos distance problem in vector spaces over finite fields
May 19, 2023 An invited analysis seminar talk at Concordia University, Montreal, Canada
 Title: Simplexes in Euclidean space and the Vapnik-Chervonenkis dimension
April 26, 2023 An invited Pi Mu Epsilon Lecture at the University of Nebraska-Lincoln
 Title: From analysis to combinatarics to number theory and back
April 26, 2023 An invited Discrete Mathematics seminar at the University of Nebraska-Lincoln
 Title: Vapnik-Chervonenkis dimension and point configurations in vector spaces over finite fields
April 15-16, 2023 An invited talk at the AMS Sectional Meeting in Cincinnati- Special Session on the interface of geometric measure theory and harmonic analysis
 Title: Uniform distribution, point configurations and pseudo-randomness
March 25-26, 2023 An invited plenary talk at Harmonic Analysis and Fractal Sets Conference at the Ohio State University
 Title: Fractal analysis and complexity theory
March 18-19, 2023 An invited talk at the AMS Spring Southeastern Sectional Meeting in Atlanta, GA
 Title: Vapnik-Chervonenkis dimension, systems of equations and point configurations
March 17, 2023 An invited analysis seminar talk at Clemson University
 Title: VC-dimension and the Falconer distance problem
March 7, 2023 An invited colloquium talk at the University of Alabama
 Title: Point configurations and complexity theory
March 1, 2023 An invited seminar talk at Brown University
 Title: Complexity and finite point configurations
February 2023 An invited talk at the Institute for Advanced Study (Princeton)
 Title: Finite point configuration and the Vapnik-Chervonenkis dimension
Feburary 2023 An invited talk at the CUNY combinatorics seminar
 Title: Graphs, multi-linear forms and operators
February 2023 An invited seminar talk at the Institute for Advanced Study, Princeton
 Title: Complexity and finite point configurations
January 2023 An invited talk at the NYU/CUNY Geometry Seminar
 Title: Complexity and point configurations
January 2023 An invited lecture at the JMM Special Session on Distance problems in continuous, discrete and finite field settings
 Title: Distance problems and the VC-dimension

2022 (346)

December 2022 An invited talk at the CMS Special Session on Approximation Theory
 Title: Vapnik-Chervonenkis dimension and point configurations
November 2022 An invited talk at the Extremal Problems in Harmonic Analysis, Convexity and Bellman functions ICERM conference
 Title: Discrete energy and large data sets
November 2022 An invited talk at the Banff meeting on analytic and probabilistic combinatorics
 Title: Vapnik-Chervonenkis dimension and Erdos type problems
November 2022 An invited colloquium talk at the Northern Illinois University
 Title: Finite point configurations: analysis, arithmetic and complexity
November 2022 An invited talk at the Workshop on Harmonic Analysis (Beijing)
 Title: Finite point configurations and frames
November 2022 An invited talk at the analysis seminar at the University of Pennsylvania
 Title: Geometric measure theory and machine learning
October 2022 An invited talk at the Discrete Analysis Working Group Part 4
 Title: Group actions and finite point configurations
October 2022 An invited talk at the Discrete Analysis Working Group Part 3
 Title: The Erdos-Falconer distance problem over finite fields
October 2022 An invited colloquium lecture at IUPUI
 Title: Complexity and finite point configurations
October 2022 An invited seminar lecture at the IUPUI graduate student seminar
 Title: Tiling and bases in vector spaces over finite fields
October 2022 An invited talk at the Discrete Analysis Working Group Part 2
 Title: Fuglede conjecture in the plane over the integer modulo a prime
October 2022 An invited lecture at the University of Toronto analysis seminar
 Title: On some connections between geometric measure theory and data science
October 2022 An invited at the Discrete Analysis Working Group Part 1
 Title: Sums, products and finite point configurations
September 2022 An invited lecture at the University of Rochester number theory seminar
  Title: Vapnik-Chervonenkis dimension and finite point configurations
September 2022 An invited lecture at SUMS (University of Rochester undergraduate mathematics club)
 Title: Several proofs of the infinity of primes, and a few comments on why undergraduate research is essential
August 2022 An invited lecture at the University of Hanoi
 Title: Uniform distribution and point configurations
August 2022 A presentation to perspective students at the branch office of the University of Rochester in Ho Chi Minh City
 Title: Why Rochester is a great place for foreign students
June 2022 An invited lecture at the University of the Basque Country
  Title: From geometric measure theory to data science
June 2022 An invited lecture at CRM Barcelona in honor of Michael Lacey's 60th birthday
  Title: From geometric measure theory to data science
June 2022 An invited lecture at the Harmonic Special Session at the CMS conferene in St Johns, Newfoundland, Canada
  Title: Point configurations and exponential frames
May 2022 An invited lecture at Combinatorics Meeting at JKH, Linz, Austria
 Title: Point configurations and the Vapnik-Chervonenkis dimension
May 2022 An online lecture at the Currents Trends in Abstract and Applied Analysis conference in Ivano-Frankivsk
 Title: Exponential bases, point configurations and curvature
April 2022 An invited talk at the analysis seminar at UCLA
  Title: Some general perspectives on point configurations in Euclidean space
March 2022 An invited colloquium talk at the University of Arizona
  Title: Fourier series and point configurations
March 2022 An invited lecture at the University of Rochester SUMS
 Title: Cauchy-Schwartz and friends
February 2022 An invited talk at the Korea-Taiwan-Vietnam Joint Seminar
 Title: A universal viewpoint on finite point configurations
February 2022 An invited talk at the University of Arizona Dynamical Systems Seminar
 Title: Finite point configurations
January 2022 An invited colloquium talk at the University of Vermont
 Title: Analytic, number-theoretic, and combinatorial aspects of finite point configurations, and applications to data science

2021 (318)

October 2021 A presentation to the Ohio State mathematics undergraduates about how to apply and prepare for graduate programs in mathematics
 Title: Graduate school and beyond
October 2021 An invited lecture at Seminari a Distanze di Analisis Armonica
 Title: The Vapnik-Chervonenkis dimension and point configurations
September 2021 An invited number theory seminar lecture at Williams College
 Title: The Vapnik-Chervonenkis dimension and point configurations
August 2021 An invited lecture at the International Seminar Series on Harmonic Analysis and Applications
 Title: Point configurations, operator bounds and complexity
June 2021 An invited Lecture at the Harmonic and Spectral Analysis Conference
 Title: On graphs, group actions and point sets
May 2021 An invited lecture at the Combinatorics and Number Theory Confierence
 Title: On graphs, group actions and point sets
May 2021 An invited lecture at the online AMS conference
 Title: On point configurations and frame theory
February 2021 An invited lecture at the Point Distributions Webinar
Title: On point configurations and frame theory

2019 (302)

December 2019 An invited lecture in Hanoi, Vietnam
 Title: Discrete and analytic aspects of incidence theory
September 2019 An invited lecture at the University of Missouri analysis conference
 Title: Curvature and frame theory
June 2019 An invited lecture at the Harmonic Analysis and PDE conference in Helsinki, Finland
 Title: On configuration problems and applications in classical analysis and beyond
June 2019 An invited lecture at the harmonic analysis in Tianjin, China
 Title: On configuration problems and applications in classical analysis and beyond
May 2019 A keynote lecture at the conference in Holon, Israel in honor of Vladimir Mazya's 80th birthday
 Title: On orthogonal Gabor bases in the presence of curvature
May 2019 A special analysis seminar at Cornell
 Title: Analytic and combinatorial methods in frame theory
April 2019 Colloquium at the University of Miami
 Title: Analytic, geometric and combinatorial aspects of finite point configurations
March 2019 A lecture at the LeMoyne University Math Club
 Title: The Erdos distance problem
March 2019 An analysis seminar lecture at the University of Pennsylvania
 Title: On the continual symbiosis between frame theory and geometric combinatorics
March 2019 An analysis seminar lecture at the University of Illinois
 Title: Some recent developments on the Erdos and Falconer distance problems and applicationsiet
February 2019 A plenary lecture at the Weitzmann Institute Conference in honor of Alexander Olevskii
 Title: Geometric measure theory and applications to frame theory
January 2019 A plenary lecture at the Second Vietnam Workshop on Graph Theory and Discrete Geometry, Hanoi, Vietnam
 Title: Erdos distance problem for smooth metrics

2018 (290)

November 2018 A plenary lecture at the Mid Atlantic Analysis Meeting, Virgina Tech University
 Title: Finite point configurations: from Furstenberg to Falconer
October 2018 A plenary lecture at the NEAM2018 analysis conference
 Title: Gabor bases and geometric measure theory
September 2018 An invited lecture at the Fourier Bases conference in Iraklion, Greece
 Title: Gabor bases and the Erdos distance problem
September 2018 A plenary lecture at the 7th International Conference "Harmonic Analysis and Approximation", Armenia
 Title: Finite point configurations and frame theory
August 2018 Faculty colloquium at Penn State University
 Title: Finite point configurations
August 2018 MASS colloquium at Penn State University
 Title: Tiling and exponential bases: analytic, combinatorial and number theoretic ideas
August 2018 Number theory seminar at Penn State University
 Title: Some number theoretic aspects of the theory of exponential bases
June 2018 An invited lecture at the ICERM workhop Frame Theory and Exponential Bases
 Title: On interaction between geometric measure theory and the existence problems for exponential bases
May 2018 An invited lecture at the Workshop on Real Analysis and its applications to partial differential equations and geometric measure theory, in honor of Steve Hofmann's 60th birthday, ICMAT, Madrid
 Title: Analytic and combinatorial aspects of frame theory
May 2018 American Engagement Network conference in Washington D.C.
May 2018 An invited lecture at the CalTech Analysis Seminar
 Title: Gabor bases and geometric combinatorics
March 2018 An invited lecture at the University of Massachusetts-Lowell
 Title: Finite point configurations: congruence and rigidity
March 2018 An invited lecture at the University of Tel-Aviv analysis seminar
 Title: Exponential bases and Gabor bases: discrete and continuous aspects
February 2018 A research visit to ICERM
February 2018 An invited lecture series at the Louisiana State University
 Title: The Falconer conjecture and connections with frame theory
February 2018 An invited colloquium talk at the Arizona State University
 Title: Combinatorial, number theoretic and analytic aspects of frame theory
February 2018 An invited number theory seminar lecture at the Arizona State University
 Title: The Fuglede Conjecture in vector spaces over prime fileds
January 2018 An invited lecture series (two lectures) at the Vietnam University of Science
 Title: Geometric combinatorics in vector spaces over finite fields
January 2018 An invited lecture at the Vietnam Institute of Mathematics
 Title: The Fuglede conjecture in vector spaces over finite fields

2017 (272)

December 2017 A colloquium lecture at the University of Massachusetts-Lowell
 Title: On discrete and continuous aspects of frame theory
October 2017 An invited seminar lecture at the Georgia Institute of Technology analysis seminar
 Title: Indicator functions of smooth convex sets cannot serve as window functions for orthogonal Gabor bases
October 2017 An invited lecture at the Oberwolfach meeting on Geometric Measure Theory
 Title: Lp-dimension and application to the Furstenberg intersection conjecture
September 2017 An invited 40 minute lecture at the AMS Session on Global Analysis at the University of Central Florida
 Title: Finite point configurations
September 2017 An invited lecture at the conference in honor of Eli Stein in Wroclaw, Poland
 Title: Finite point configurations: analysis, combinatorics and number theory
August 2017 A plenary lecture at the CIMPA 2017 Buenos Aires, Argentina
 Title: Finite point configurations: analysis, combinatorics and number theory
May 2017 An invited lecture at the conference in honor of Peter Jones in Seoul, Korea
 Title: Rigidity, simplexes and multi-linear operators
May 2017 An invited lecture at the MSRI workshop on harmonic analysis
 Title: Rigidity, simplexes and multi-linear operators
April 2017 An AMS Special Session on Frame Theory at Hunter College, NYC
 Title: Finite point configuration and the underlying operators
March 2017 A colloquium talk at Virginia Tech University
 Title: Analytic, number theoretic and combinatorial perspectives on orthogonal bases and tiling
March 2017 A plenary lecture at the Ohio River Analysis Meeting
 Title: On bi-linear analogs of generalized Radon transform
January 2017 An invited lecture at the JMM2017 Special Session for women in mathematics dedicated to Cora Sadosky
 Title: A group action approach to the non-trivial exponent for every point configuration in vector spaces over finite fields

2016 (260)

2015 (245)

December 2015 An invited lecture at the joint CUNY/NYU Analysis seminar
 Title: The Fuglede conjecture in vector spaces over finite fields
December 2015 An invited lecture at the Ohio State Analysis/PDE seminar
 Title: The Fuglede conjecture in vector spaces over finite fields
Setember 2015 An invited lecture at the CIRM Number Theory conference in Marseilles, France
 Title: The Fuglede conjectre holds in two-dimensional vector spaces over finite fields
May 2015 An invited lecture at CANT 2015 conference at the CUNY Graduate Center
 Title: The Fuglede Conjecture holds in two dimensional vector spaces over prime fields.
May 2015 A plenary lecture at the Complex Analysis and Dynamical Systems VII conference in Nehariya, Israel
 Title: The Fuglede Conjecture holds in two dimensional vector spaces over prime fields.
April 2015 An invited colloquium lecture at Worcester Polytechnic Institute
 Title: Some simple ideas in the study of simplexes in Euclidean space
March 2015 An invited at the sectional AMS meeting in Washington D.C.
 Title: Density of exponential frames and spectra in fractal domains
February 2015 An invited colloquium lecture at the University of Massachusetts-Lowell
 Title: Distribution of simplexes, geometric combinatorics and fractals

2014 (237)

2013 (227)

December 2013 An invited seminar lecture at the University College London
 Title: An elementary viewpoint on multi-linear operators
December 2013 An invited seminar lecture at the Reading University
 Title: Distribution of simplexes in arithmetic settings
December 2013 An invited lecture at the Heilbron Seminar, University of Bristol
 TItle: Distribution of simplexes in arithmetic settings
September 2013 A colloquium lecture at Kent State University
 Title: Restricted convolution inequalities, multilinear operators and applications
September 2013 An invited lecture at the Kent State Analysis Seminar
 Title: Some elementary observations about multi-linear operators
August 2013 An invited lecture at the Kent State Analysis Seminar
 Title: Group actions and distribution of simplexes in the Euclidean space
May 2013 An invited lecture at the Integral Transforms and Spectral Theory in Analysis and Geometry workshop in Nahariya, Israel
 Title: Intersections of sets, group actions and Erdos-Falconer problems
April 2013 An invited lecture at the University of Minnesota PDE-Analysis seminar
 Title: Trace inequalities, multi-linear operators and geometric applications
March 2013 University of Rochester Number Theory Seminar
 Title: From fractals to diophantine equations
March 2013 An invited lecture at the Analysis Symposium at the University of Georgia
 Title: Intersections of sets and Fourier Analysis
February 2013 A colloquium lecture at the University of Georgia
 Title: Simplexes and Fourier Analsysis

2012 (216)

2011 (196)

October 2011 An invited lecture at the MIT analysis seminar
  Title: Generalized Radon transforms, lattice points near families of surfaces and non-isotropic dilations
September 2011 AMS conference at Ithaca, NY
  Title: Regular value theorem in a fractal setting
July 2011 An invited lecture at the Fields Institute conference in honor of Eric Sawyer (was unable to cross the border due to a paperwork mixup)
  Title: Lattice points, fractal sets and generalized Radon transforms
June 2011 An invited lecture at the Edinburgh Workshop on Harmonic Analysis
  Title: Geometric consequences of analytic inequalities
June 2011 An invited lecture at the analysis/combinatorics seminar at the University of Bristol
  Title: The paraboloid: a ubiquitous counter-example
June 2011 An invited lecture at the University of Cardiff
  Title: Application of generalized Radon transforms to problems in geometric measure theory
May 2011 An invited lecture at CANT conference at CUNY
  Title: On directions determined by subsets of vector spaces over finite fields
May 2011 An invited lecture at the Banff meeting on convex geometry
  Title: Distribution of lattice points near families of surfaces
April 2011 An invited lecture at the University of South Carolina workshop on harmonic analysis
  Title: Lattice points, fractal sets and generalized Radon transforms
April 2011 A faculty colloquium talk at the University of Rochester
  Title: Discrete and continuous aspects of incidence theory
April 2011 An invited lecture at the Informal Analysis Seminar at Kent State University
  Title: Harmonic analytic estimates in geometric measure theory
March 2011 Analysis seminar at the Kennesaw State University
  Title: Fourier analytic methods in sum-product theory
March 2011 Colloquium at the Clayton State University
  Title: On sums and products in finite fields
March 2011 AMS conference at Statesboro, GA
  Title: Distribution of lattice points near variable families of surfaces in Euclidean space
March 2011 AMS conference at Statesboro, GA
  Title: Regular value theorem in a fractal setting
February 2011 Analysis seminar at the University of Miami
  Title: Regular value theorem in a fractal setting and connections with discrete geometry and number theory.
February 2011 Anaysis seminar at the Florida International University
  Title: Regular value theorem in a fractal setting and connections with discrete geometry and number theory.
January 2011 Joint meeting of the analysis and combinatorics seminars at the University of Pennsylvania
  Title: Regular value theorem in a fractal setting and connections with discrete geometry and number theory.
January 2011 Colloquium, Pennsylvania State University
  Title: Regular value theorem in a fractal setting.
January 2011 AMS Special Session on Integral Geometry at the Annual Meeting of the AMS in New Orleans
  Title: Finite point configurations in the continuous setting.
January 2011 LSU workshop on geometry and analysis
  Title: Regular value theorem in a fractal setting.

2010 (175)

December 2010 Special session on spectral theory at the CBMS conference in Vancouver, Canada
  Title: On a fractal variant of the regular value theorem
December 2010 Special session on harmonic analysis and additive number theory at the CBMS conference in Vancouver, Canada
  Title: On simplexes determined by subsets of the Euclidean space.
November 2010 Graduate student seminar at CUNY
  Title: On a fractal variant of the regular value theorem
October 2010 Number theory seminar at the University of Rochester
  Title: Sums and products in discrete and continuous settings
October 2010 An analysis seminar at the University of British Columbia
  Title: On sums-product theorem and simplexes in vector spaces over finite fields
September 2010 An analysis seminar lecture at Cornell University
  Title: On simplexes determined by fractal subsets of the Euclidean space
March 2010 An invited lecture at Centro di Ricerca Matematica Enrico di Giorgi, Pisa
  Title: Finite point configurations in discrete and continuous settings
January 2010 An analysis seminar talk at the Michigan State University
  Title: Uniform distribution, finite point configurations and number theoretic consequences

2009 (168)

December 2009 An invited 40 minute lecture at the AMS/Korean Mathematical Society Special Session on Harmonic Analysis in Seoul, Korea
  Title: Finite point configuration in the Euclidean setting via Fourier analysis and geometric combinatorics
November 2009 An invited lecture at the AMS Special Session on Addition Number Theorey at the University of California-Riverside
  Title: Uniform distribution, pseudo-random graphs and finite point configurations in Euclidean space
July 2009 An invited lecture at the University of Crete
  Title: Finite point configurations in discrete and continous settings
June 2009 An invited lecture at the University of Milano
  Title: Finite point configurations in discrete and continous settings
June 2009 An invited lecture at the Conference on Harmonic Analysis, Geometric Measure Theory and Quasiconformal Mappings at CRM, Barcelona
  Title: Finite point configurations in discrete and continous settings
May 2009 An analysis seminar lecture at the University of Arizona
  Title: Finite point configurations in discrete and continous settings
April 2009 An invited lecture at the Spring Lecture Series 2009, University of Arkansas
  Title: Geometric configurations in Euclidean space the associated models in vector spaces over finite fields
February 2009, A colloquium talk at the University of Illinois-Chicago
  Title: Sums and products in discrete, continuous and arithmetic settings
February 2009, A seminar talk at the University of Illinois at Urbana-Champaign
  Title: Geometric configurations in the discrete and continuous settings
January 2009, A colloquium talk at Rochester University
  Title: Geometric configurations in discrete, continuous and number theoretic settings

2008 (158)

November 2008, An invited seminar lecture at the University of Wisconsin-Madison
 Title: Geometric configurations in fractals
October 2008, An analysis seminar talk at the Arizona State University
 Title: Geometric configurations in fractals
October 2008, A colloquium talk at the Arizona State University
 Title: Geometric configurations in Euclidean, integer and finite field geometries: combinatorial and algebraic aspects
October 2008, A series of lectures at Baylor University
 Title: Geometric combinatorics, arithmetic and Fourier analysis
September 2008, An invited lecture at Oberwolfach (Discrete Geometry)
  Title: Geometric configurations in Euclidean, integer and finite field geometries: combinatorial and algebraic aspects
July 2008, An invited lecture at the University of Crete
  Title: Mixed norm restriction theorems and connections with fractal geometry
July 2008, An invited lecture at the University of Padova
 Title: Geometric configurations in Euclidean, integer and finite field geometries
July 2008, An invited lecture at the University of Torino
  Title: Geometric configurations in Euclidean, integer and finite field geometries
July 2008, An invited lecture at Oberwolfach (Harmonic Analysis)
  Title: Geometric configurations in Euclidean, integer and finite field geometries
June 2008, An invited lecture at the Arizona State University MTBI program
   Title: Geometric configurations: an elementary viewpoint
April 2008, A seminar lecture at Wayne State University
  Title: Fourier analysis in vector spaces over finite fields
April 2008, An invited lecture at the Fields Institute Conference on Additive Number Theory
  Title: Distribution of dot products in vector spaces in finite fields and applications to problems in additive number theory and geometric combinatorics
March 2008, A colloquium talk at the McMaster University
  Title: Harmonic analysis in vector spaces over finite fields and applications to additive combinatorics

2007 (145)

October 2007, A seminar talk at the Louisiana State University
  Title: Radon transforms and applications to problems in additive number theory
October 2007, A colloquium at the Louisiana State University
  Title: Incidence theory: discrete, continous and arithmetic aspects
October 2007, An invited 50 minute address to the American Mathematical Society at DePaul University, Chicago
  Title: Incidence theory: discrete, continous and arithmetic aspects
October 2007, A colloquium talk at the University of Indiana, Bloomington
  Title: Sums and products in finite fields- an analytic perspective
September 2007, An invited lecture at the agebra seminar at Emory
  Title: Sums and products in finite fields
September 2007, An invited lecture at the analysis seminar at Georgia Tech
  Title: Radon transforms and applications to problems in additive number theory
September 2007, An invited lecture at a mini-conference on discrepancy theory at the University of South Carolina
  Title: Radon transforms and applications to problems in additive number theory
September 2007, A colloquium lecture at the University of Cincinnati
  Title: Radon transforms and applications to problems in additive number theory
September 2007, A seminar talk at the Georgia Institute of Technology
  Title: Sums and products in finite fields- an analytic perspective
August 2007, A seminar talk at UMKC (Kansas City)
  Title: Sums and products
June 2007, An invited lecture at the University of Padova
  Title: Integral geometric viewpoint on sums and products in finite fields
June 2007, An invited lecture at the University of Bologna
  Title: Incidence theory via Fourier analysis in vector spaces over finite fields
June 2007, An invited lecture at the University of Milan
  Title: Integral geometric viewpoint on sums and products in finite fields
May 2007, An invited lecture at the annual meeting of Italian harmonic analysts at Caramanico
  Title: Incidence theory via Fourier analysis and applications to geometry and arithmetic
May 2007, A seminar lecture at the University of Bergamo
  Title: Integral geometric viewpoint on sums and products in finite fields
April 2007, DePaul University analysis seminar
  Title: Fourier analysis and incidence theory
March 2007, A colloquium lecture at the Bogazici University
  Title: Analytic, combinatorial and number theoretic aspects of incidence theory
March 2007, A lecture at the Istanbul Institute of Mathematics
  Title: Sums/Products via Fourier analysis
March 2007, King's College, London, an analysis seminar lecture
  Title: Ramsey Theory and Fourier analysis
March 2007, An invited 50 minute address to the American Mathematical Society at Davidson College, North Carolina
  Title: Incidence theory: discrete, continous and arithmetic aspects
January 2007, An invited lecture at Bar-Ilan University
  Title: Geometric combinatorics via Fourier analysis

2006 (124)

November 2006, A seminar talk at the University of Crete
  Title: Sums and products in finite fields via Kloosterman sum estimates.
October 2006, AMS lecture in Salt Lake City, Utah
   Title: Sums and products in finite fields via Kloosterman sum estimates.
September 2006, A seminar lecture at Michigan State University
   Title: Erdos/Falconer distance problem in vector spaces over finite fields.
August 2006, An invited lecture at the Rudelson CBMS lecture series conference at Kent State University
    Title: Analysis, combinatorics and number theory of the Mattila integral.
July 2006, An invited lecture at the Koldobsky CBMS lecture series conference at the Kansas State University
    Title: Analysis, combinatorics and number theory of the Mattila integral.
July 2006, A lecture at the Universidad Autonoma Barcelona (CRM)
    Title: Analysis, combinatorics and number theory of the Mattila integral.
July 2006, A lecture at the University of Milano
    Title: Analysis, combinatorics and number theory of the Mattila integral-lattice points on surfaces.
July 2006, A lecture at the University of Bergamo
    Title: Analysis, combinatorics and number theory of the Mattila integral-Fourier analysis in finite fields.
June 2006, a plenary lecture at Harmonic Analysis conference in Zharos, Crete
    Title: Analysis, combinatorics and number theory of the Mattila integral.
April 2006, AMS Special Session in Miami
    Title: Erdos/Falconer distance problem in vector spaces over finite fields
March 2006, Combinatoria Number Theory program in Montreal
    Title: Fourier analytic approach to incidence theorems in vector spaces over finite fields
January 2006, Colloquium at Northeastern University
    Title: Analytic, combinatorial and number theoretic aspects of distance set theory
January 2006, Colloquium at the University of Georgia
    Title: Analytic, combinatorial and number theoretic aspects of distance set theory
January 2006, Analysis Seminar, University of Crete
    Title: Erdos/Falconer distance problems in vector spaces over finite fields
January 2006, Pure Mathematics Seminar, University of Bristol
    Title: Erdos/Falconer distance problem in vector spaces over finite fields

2005 (109)

2004 (101)

September 2004 AIM workshop on additive number theory/ geometric combinatorics
July 2004 Trimester in Harmonic Analysis, Pisa, Italy
    Title: Average decay of the Fourier transform and applications
June 2004 University of Madrid, Spain, Analysis Seminar
    Title: Combinatorial complexity of convex sequences and related problems in combinatorial geometry
June 2004 Trimester in Harmonic Analysis, Pisa, Italy
    Title: Combinatorial complexity of convex sequences and connections with Fourier analysis
May 2004 Georgia Institute of Technology; an invited lecture associated with
a series of CBMS lectures to be delivered by C. Thiele.
    Title: Combinatorial complexity of convex sequences
May 2004 CUNY Conference on Additive and Combinatorial Number Theory
    Title: Combinatorial complexity of convex sequences
May 2004 University of Edinburgh
    Title: Some remarks on the Mattila integral and related problems
May 2004, University of Bristol, England
    Title: Mean square discrepancy bounds for the distribution of lattice points in convex domains
April 2004, University of Athens
    Title: Convex sequences and the Erdos/Falconer distance problems
April 2004, University of Crete
    Title: Some remarks on the Mattila integral
March 2004 Annual meeting of the Italian harmonic analysts (plenary lecture)
    Title: Some remarks on the Mattila integral
March 2004 University of Bergamo, Italy, seminar
    Title: Average decay of Fourier transforms of measures and applications
March 2004 University of Milano, Italy, seminar
    Title: Combinatorial complexity of convex sequences and related problems
March 2004 Florida State University, AMS Special Session on Harmonic Analysis
    Title: Combinatorial complexity of convex sequences
February 2004 University of Michigan (differential equations seminar)
    Title: Average decay of the Fourier transform, Salem sets, and related problems
January 2004, Temple University, Philadelphia (colloquium)
    Title: Combinatorial complexity of convex sequences: combinatorial and analytic methods
 
2003 (86)

December  2003, University of British Columbia (research collaboration with I. Laba)
November 2003, University of California-Los Angeles
   Title: Distribution of lattice points in convex domains: mean square estimates
October 2003, Conference on additive number theory, University of West Georgia
   Title: Distribution of lattice points in convex domains: mean square estimates
October 2003, University of Wisconsin-Madison
   Title: A Weyl type formula for exponential spectra and frames
June 2003, Harmonic Analysis and Partial DIfferential Equations; Annual Summer Session
   Title: Combinatorial approach to orthogonal exponentials
June 2003, Joint meeting of the Real Sociedad Mathematika Espanola and the AMS in Seville, Spain
   Title: Variants of the Falconer and Erdos distance problems
June 2003, University of Milan
    Title: Variants of the Falconer and Erdos distance problems
May 2003,  Conference on additive number theory and applications to harmonic analysis
    Title: Applications of geometric measure and geometric combinatorics in harmonic analysis
May 2003, Princeton University Analysis Seminar
    Title: Combinatorics of distance sets and applications
April 2003, Riviere-Fabes Symposium in Analysis
   Title: Analysis and combinatorics of distance set
March 2003, The Erwin Schrodinger International Institute for Mathematical Physics
   Title: Analysis and combinatorics of distances sets
February 2003, Georgia Institute of Techology (research collaboration)
 
2002 (76)

October 2002, AMS Special Session in Madison, Wisconsin
   Title: "Distribution of lattice points inside random ellipsoids" 
July 2002, Convex geometry workshop in Vancouver, Canada
    Title: "Lattice points inside random ellipses"
June 2002, University of Milano, Bicocca
   Title: "Distribution of lattice points inside random ellipses"
June 2002, University of Pisa, AMS Special Session
   Title: "Convex bodies, orthogonal exponentials and geometric combinatorics"
June 2002, Universidad Autonoma de Madrid
   Title: "Some elementary combinatorial geometry and applications to harmonic analysis"
June 2002, University of Iraklion, Crete
   Title: "Lattice points inside random ellipses"
March 2002, McGill University, Montreal, Canada
   Title: "Average decay of the Fourier transform and distribution of lattice points in convex domains"
March 2002, AMS Special Session in Harmonic Analysis
   Title: "Average decay of the Fourier transform and applications"
January 2002, Universita di Milano-Bicocca
   Title: "Applications of the average decay of the Fourier transform of measures"

2001 (67)

December 2001, Georgia Institute of Technology
November 2001, Colloquium, Case Western Reserve University
   Title: "Combinatorics of convex sets and applications"
November 2001, Seminar, University of Wisconsin, Madison
   Title: "Combinatorics of convex sets and applications"
November 2001, Research visit at McMaster University, Hamilton, Ontario
October 2001, Seminar, University of Bristol, England
   Title: "Combinatorial approach to orthogonal exponentials"
September 2001,  Colloquium , University of British Columbia,Vancouver, British Columbia, Canada
   Title: "Combinatorial aspects of convexity" 
August 2001, Convex geometry conference in Anogia, Crete
    Title: "Various notions of dimension of convex sets and applications"
May 2001, Partial Differential Equations Seminar, University of Missouri-Columbia
    Title: "Regularity of generalized Schrodinger equations"
May 2001, Algebra Seminar, University of Missouri-Columbia
    Title: "Quadratic forms and the Steinhaus tiling problem"
March 2001, Oscillatory Integrals and Dispersive Equations, IPAM conference in Los Angeles, California
July 2001, Mt. Holyoke Harmonic Analysis/ PDE AMS conference
   Title: "Distribution of lattice points in convex domains"
April 2001, University of Milan-Bicocca
   Title: "Extracting geometric information from square functions"
March 2001, AMS Special Session in Harmonic Analysis, Lawrence, Kansas
   Title: "Distribution of lattice points inside convex domains"

2000 (57)

December 2000, Meeting of the Canadian Mathematical Society, Vancouver, British Columbia, Canada
   Title: "Distribution of lattice points in convex domains and the geometry of the Gauss map"
November 2000, University of Wisconsin-Madison
   Title: "Distribution of lattice points in convex domains and the geometry of the Gauss map"
November 2000, McMaster University, Hamilton, Ontario
   Research collaboration with Eric Sawyer 
November 2000, Banach space seminar, University of Missouri-Columbia
   Title: "Exponential bases and tiling- combinatorics and the Fourier transform" 
October 2000, Northwestern University, Chicago, Illinois
   Title: "Distribution of lattice points in convex domains and related problems"
October 2000, Special Session in Harmonic Analysis, San Francisco, California
   Title: "Distribution of lattice points in convex domains"
September 2000, Analysis seminar, Washington University in St. Louis
   Title: "Distribution of lattice points in convex domains"
September -November 2000, Probability seminiar, University of Missouri-Columbia
   Title: "A brief introduction to the Kakeya problem and related issues"
July 2000, Meeting of harmonic analysts at El Escorial, Spain.
June 2000, Meeting of the Greek analysts in Iraklion, Crete
   Title: "Fourier bases and the associated combinatorics"
June 2000, University of Iraklion, Crete
   Title: "Distribution of lattice points in convex planar domains"
June 2000, University of Milan-Bicocca
   Title: "Elementary applications of the pigeon-hole principle in analysis"
June 2000, Annual meeting of the Italian harmonic analysts
   Title: "Distribution of lattice points in convex domains"
February 2000, University of Missouri-Columbia
   Title: "The role of Gaussian curvature in harmonic analysis"
February 2000, Syracuse University
   Title: "Fourier bases, tiling, and the Erdos Distance Problem"
February 2000, McMaster University
   Joint research with E. Sawyer

1999 (44)

December 1999, University of Wisconsin- Madison.
   Title: "Fourier bases, tiling, and the Erdos Distance Problem"
August 1999, University of Illinois at Chicago
   Joint research with N. Katz facilitated by a CRB Grant.
August 1999, University of Illinois at Chicago
   Title: "Fourier basis, orthogonality, and a variant of Erd�s distance problem" 
July 1999, Joint meeting of the American and Australian Mathematical Societies.
   Title: "Fourier basis, fractals, and the Erd�s distance problem"
June 1999, University of Milan
   Title: "Maximal averages over fractals"
June 1999, Meeting of the Italian Mathematical Society, Aosta, Italy
   Title: "Fourier basis and the Erd�s distance problem"
May 1999, Wright State University
   Title: "The role of curvature in harmonic analysis"
March 1999, McMaster University
   Title: "Averages over surfaces and related problems"
March 1999, Wright State University
   Joint research with S. Pedersen.
March 1999, Indiana University Purdue University Indianapolis
   Joint research with E. Sawyer.
February 1999, University of Maryland-College Park
   Title: "Lattice points, Fourier bases, and related problems"
January 1999, Conference on Singular and Oscillatory Integrals in honor of Steve Wainger,
University of Wisconsin, Madison, Wisconsin
   Title: "Lattice points, Fourier bases, and related problems"

1998 (35)

September 1998, AMS Special Session on orthogonal polynomials and related problems,
DePaul University, Chicago, Illinois
   Title: "Smooth hypersurfaces of infinite type"
August 1998, GAFA Conference, Kiel, Germany
   Title: "L^p improving properties of measures supported on convex finite type hypersurfaces"
July 1998, Visiting Research Fellowship, University of Milan, Milan, Italy
July 1998, University of Turin, Turin, Italy
   Title: L^p improving properties of measures supported on convex hypersurfaces"
June/July 1998, Visiting Research Fellowship, University of New South Wales, Sydney, Australia.
July 1998, Department of Mathematics Analysis Seminar, Macquarie University, Sydney, Australia
   Title: "Maximal operators over smooth hypersurfaces"
June 1998, Department of Mathematics, University of New South Wales, Sydney, Australia
   Title: "Averages over convex hypersurfaces" 
April 1998, Dixieland Analysis Conference, Emory University, Atlanta, Georgia
   Title: "L^p improving properties of measures supported on convex hypersurfaces"
April 1998, Department of Mathematics, Georgia Institute of Technology, Atlanta, Georgia
   Title: "Averages over convex surfaces"
February 1998, Department of Mathematics, Johns Hopkins University, Baltimore, Maryland
   Title: "Maximal averages over surfaces"
February 1998, Department of Mathematics, Georgetown University, Washington,
District of Columbia
   Title: "Averages over convex hypersurfaces"

1997 (26)

Fall 1997, General Membership at the Mathematical Sciences Research Institute, Berkeley, California
November 1997, Visiting Research Fellowship, University of Naples, Naples, Italy
November 1997, Department of Mathematics, University of Naples, Naples, Italy
   Title: "Scaling properties of infinitely flat curves and surfaces"
November 1997, Department of Mathematics, University of Milan, Milan, Italy
   Title: "Scaling properties of infinitely flat curves and surfaces"
October 1997, Department of Mathematics, University of Rochester, Rochester, New York
   Title: "Scaling properties of convex hypersurfaces" 
September 1997, Mathematical Sciences Research Institute, Berkeley, California
   Title: "Scaling properties of convex finite type hypersurfaces" 
September 1997, Department of Mathematics, Florida State University, Tallahassee, Florida
   Title: "Scaling properties of convex hypersurfaces"
September 1997, Integrable Systems & Nonlinear PDE Seminar, Department of Mathematical Sciences,
Indiana University Purdue University Indianapolis, Indianapolis, Indiana
   Title: "Scaling properties of infinitely flat curves and surfaces"
May 1997, European Union HCM "Fourier Analysis Network" Harmonic Analysis in Varenna Meeting, Varenna, Italy
   Title: "Averages over convex hypersurfaces"
March 1997, Wright State University Analysis Seminar, Dayton, Ohio
   Title: "Fourier transform, restriction theorems, and scaling"
March 1997, American Mathematical Society Annual Analysis Conference in Auburn, Alabama
   Title: "Maximal averages over convex surfaces"

1996 (15)

December 1996, Department of Mathematics, University of Wisconsin, Madison, Wisconsin
   Title: "Maximal averages, convex hypersurfaces, and rotational curvature in time"
October 1996, Department of Mathematics Colloquium, University of Cincinnati, Cincinnati, Ohio
   Title: "The Fundamental Theorem of Calculus and Beyond"
July 1996, Department of Mathematics, University of Turin, Turin, Italy
   Title: "Schulz's Theorem, mixed homogeneity, and maximal operators"
July 1996, Department of Mathematics, University of Naples, Naples, Italy
    Title: "Maximal operators in Harmonic Analysis"
June 1996, Department of Mathematics, McMaster University, Hamilton, Ontario, Canada
   Title: "Maximal averages over mixed homogeneous surfaces"

1995 (10)

December 1995, Department of Mathematics, University of Wisconsin, Madison, Wisconsin
   Title: "Oscillatory integrals with homogeneous phases and maximal averages over surfaces" 
November 1995, American Mathematical Society Conference in Kent, Ohio, Special Session on
Harmonic Analysis and Applications, Kent State University, Kent, Ohio
   Title: "Averaging and maximal averaging operators associated to homogeneous hypersurfaces"
February 1995, Analysis Seminar, University of Toronto, Toronto, Ontario, Canada
   Title: "Maximal operators and oscillatory integrals associated to finite type hypersurfaces"

1994 (7)

September 1994, Harmonic Analysis Seminar, McMaster University, Hamilton, Ontario, Canada
   Title: "(L^p,L^q) mapping properties of averaging operators associated to homogeneous hypersurfaces"
May 1994, Harmonic Analysis Seminar, McMaster University
   Title: "Maximal operators associated to homogeneous and mixed homogeneous hypersurfaces in R^{3 "}
June 1994, Functional Analysis Seminar, Technion, Haifa, Israel
   Title: "Maximal operators associated to homogeneous hypersurfaces in R^n"
June 1994, Mathematics Colloquium, University of Naples, Naples, Italy
   Title: "Maximal operators in Harmonic Analysis"
May 1994, Analysis Seminar, UCLA, Los Angeles, California
   Title: "Weighted oscillatory integrals and the associated maximal operators"

1993 (2)

November 1993, Harmonic Analysis Seminar, McMaster University
   Title: "A restriction theorem for operators associated to homogeneous manifolds in codimension two"

1991 (1)

March 1991, Classical Analysis Seminar, UCLA, Los Angeles, California
   Title: "Maximal operators associated to families of flat curves in the plane"

Lecture Series

August 2023, A lecture series at the Kent State Informal Analysis Seminar
 Title: Geometric measure theory and applications to data science

July 2023, A lecture series at the University of Harbin, China 
 Title: Geometric measure theory and applications to data science

February 2017, A lecture series on the Falconer conjecture at the Louisiana State University.
 Title: Finite point configurations and exponential bases and frames

August 2012, A lecture series on multilinear operators and geometric measure theory at Chungbuk University, South Korea
 Title: A multi-linear approach to finite point configurations

May 2012, A lecture series on application of harmonic analysis to geometric combinatorics at CANT2012 conference in CUNY, New York
 Title: From discrete to continuous and back

October 2008, A lecture series on interaction of harmonic analysis, geometric combinatorics and additive number theory at Baylor University (three lectures)
 Title: Analytic, number theoretic and combinatorial aspects of the theory of finite point configurations

November 2006, A lecture series on harmonic analysis in vector spaces over finite fields at the University of Bristol (four lectures)
 Title: Erdos and Falconer in vector spaces over finite fields

May 2006, CUNY, New York, CANT 2006 (three lectures)
  Title: "Three lectures on analytic, combinatorial and number theoretic aspects of incidence theory"

June 2002, University of Padova, Minicorsi di Analisi Matematica (three lectures)
  Title: "Geometric combinatorics and applications to analysis"

July 1998, A series of talks at the University of Milan on avergaing operators over hypersurfaces (four lectures)
  Title: Stein's conjecture, scaling and maximal averages over surfaces

PUBLICATIONS:

Published Papers and Papers Accepted for Publication:

The published papers are listed first, organized by year of publication. Accepted papers are listed below, immediately following the published papers.

2023 (145)

Simplices in thin subsets of Euclidean space (with A. Magyar), APDE 16, 2023, no. 7, 1485-1496.

Dot products in 𝔽3q and the Vapnik-Chervonenkis dimension, (with McDonald, B.; Sun, M), Discrete Math. 346 (2023), no. 1,

Uniform distribution and geometric incidence theory, (with A. Gafni and E. Wyman), J. Math. Anal. Appl. 517 (2023), no. 1

2022 (142)

2021 (138)

Rigidity, graphs and Hausdorff dimension, (wtih N. Chatzikonstantinou, S. Mkrtchyan, and J. Pakianathan), Combinatorial and additive number theory IV, 73–106, Springer Proc. Math. Stat., 347

Repeated distances and dot products in finite fields, (with C. Wolf), Operator theory and harmonic analysis—OTHA 2020. Part I. New general trends and advances of the theory, 243–257, Springer Proc. Math. Stat 357.

Cycles of arbitrary length in distance graphs on vector spaces over finite fields, (Russian), (with G. Jardine and B. McDonald), Tr. Mat. Inst. Steklova 314 (2021), Analiticheskaya i Kombinatornaya Teoriya Chisel, 31–48.

Sums of Powers in Large Finite Fields: A Mix of Methods, (with Bergelson, Vitaly and Best, Andrew), Amer. Math. Monthly 128 (2021), no. 8, 701–718.

Weyl Law Improvement for Products of Spheres, (with E. Wyman), Anal. Math. 47 (2021), no. 3, 593–612.

An improved result for Falconer's distance set problem in even dimensions, (with Du, Xiumin; Ou, Yumeng; Wang, Hong; Zhang, Ruixiang ) Math. Ann. 380 (2021), no. 3-4, 1215–1231.

Configuration sets with nonempty interior, (Greenleaf, Allan; Iosevich, Alex; Taylor, Krystal), J. Geom. Anal. 31 (2021), no. 7, 6662–6680.

On restriction estimates for the zero radius sphere over finite fields, (with Koh, Doowon; Lee, Sujin; Pham, Thang; Shen, Chun-Yen), Canad. J. Math. 73 (2021), no. 3, 769–786.

Existence of similar point configurations in thin subsets of Euclidean space, (with A. Greenleaf and M. Mkrtchyan), Math. Z. 297 (2021), no. 1-2, 855-865.

On Gabor orthonormal bases over finite prime fields, (with M. Kolountzakis, Y. Lyubarskii, A. Mayeli and J. Pakianathan), Bull. Lond. Math. Soc. 53, (2021) p. 380-391.

2020 (128)

Falconer-type estimates for dot products, (with S. Senger), Bull. Hellenic Math. Soc. 64 (2020), 98–110.

Finite field restriction estimates for the paraboloid in high even dimensions, J. Funct. Anal, 278 (2020), 16 pages.

A new bound for the Erdős distinct distances problem in the plane over prime fields, (with D. Koh, T. Pham. C. Shen and L. Vinh). Acta Arith. 193 (2020), no. 2, 165-174.

New bounds for distance-type problems over prime fields, (with D. Koh T. Pham); European J. Combin. 86 (2020)

On Falconer's distance set problem in the plane, (with L. Guth, Y. Ou and H. Wang, Invent. Math. 219 (2020), no. 3, 779-830.

2019 (123)

Finite trees inside thin subsets of Euclidean space, (with K. Taylor) accepted for publication by the Proceedings of the Analysis and Operator Theory conference in Rostov, Russia.

Embedding distance graphs in finite field vector spaces, (with H. Parshall), J. Korean Math. Soc. 56 (2019), no. 6, 1515�1528.

Maximal operators: scales, curvature and the fractal dimension, (with B. Krause, E. Sawyer, K. Taylor and I. Uriarte-Tuero),  Anal. Math. 45 (2019), no. 1, 63-86.

Tight wavelet frame sets on finite vector spaces, (with C. Lai and A. Mayeli), The Journal of Applied and Computational Harmonic Analysis, volume 46, issue 1.


2018 (113)

Finite point configurations in the plane, rigidity and Erdos problems (with J. Passant) Tr. Mat. Inst. Steklova 303 (2018), 142-154.

Gabor orthogonal bases on convexity (with A. Mayeli), Discrete Anal. 2018, Paper No. 19, 11 pp.

Wavelet decomposition and bandwidth of functions defined on vector spaces over finite fields, (with A. Liu, A. Mayeli and J. Pakianathan), Bull. Hellenic Math. Soc. 62 (2018), 80–93.

Tiling, circle packing and exponential sums over finite fields, (with C. D. Haessig, A. Iosevich, J. Pakianathan, S. Robins and L. Vaicunas), Analysis Mathematica, 44 (2018), no. 4, 433-449.

Distances from points to planes, (with P. Birklbauer and T. Pham), Acta Arithmetica 186 (2018) no. 3 219-224.

On discrete values of bilinear forms, (with O. Roche-Newton and M. Rudnev) Mat. Sb. 209 (2018), no. 10, 71-88. 

Direction sets, Lipschitz graphs and density, (with J. Pakianathan), Bull. Hellenic Math. Soc. 62 (2018) 61-65.

2017 (106)

Tiling sets and spectral sets over finite fields, (with Aten, C.; Ayachi, B.; Bau, E.; FitzPatrick, D.; Liu, H.; Lott, A.; MacKinnon, I.; Maimon, S.; Nan, S.; Pakianathan, J.; Petridis, G.; Rojas Mena, C.; Sheikh, A.; Tribone, T.; Weill, J.; Yu, C.) J. Funct. Anal. 273 (2017), no. 8, 2547-2577.

On necklaces inside thin subsets of ${\Bbb R}^d$, (with A. Greenleaf and M. Pramanik), Math Research Letters, 24 (2017), 347-362.

A two-parameter finite field Erdős-Falconer distance problem, (with P. Birklbauer) Bull. Hellenic Math. Soc. 61 (2017), 21-30

Elementary methods for incidence problems in finite fields, (with J. Cilleruelo, B. Lund, Ben, O. Roche-Newton and M. Rudnev), Acta Arith. 177 (2017), no. 2, 133-142.

The Fuglede conjecture holds in ${\Bbb Z}_p \times {\Bbb Z}_p$ (with A. Mayeli and J. Pakianathan), Anal. PDE 10 (2017), no. 4.

The square root law and structure of finite rings, (with B. Murphy and J. Pakianathan), Moscow Journal of Combinatorics and Number Theory, Volume 7, Issue 1, (2017).

Group actions and geometric combinatorics in 𝔽dq, (with M. Bennett, D. Hart, J. Pakianathan and M. Rudnev),  Forum Math. 29 (2017), no. 1, 91-1

2016 (99)

On angles determined by fractal subsets of Euclidean space, (with M. Mourgoglou and E. Palsson), volume 23, number 6, (2016).

Sharpness of Falconer's $\frac{d+1}{2}$ estimate, (with Steven Senger), Annales Academic Scientiarum Fennicae, volume 41, (2016).