Topology group
Seminars
The seminars meet Fridays 45pm in Hylan 1106A. The pretalks are from 2:303:30pm in Hylan 1106B.
See a list of upcoming and past seminars in our events calendar.
Permanent Faculty

Fred Cohen
 Algebraic Topology, specifically Homotopy Theory.
 Cohomology of groups.
 Braid groups, function spaces, simplicial groups, configuration spaces and interconnections.

John Harper
 Hspaces, coHspaces, LusternikSchnirrelmann category and other topics in unstable homotopy theory.
 Published books:
 Secondary cohomology operations, AMS Graduate Studies in Mathematics 49, 2002.
 Algebraic Topology, A First Course with Marvin Greenberg, Perseus Books Publishing L.L.C.

Jonathan Pakianathan
 Group actions on complexes. Cohomology of groups. Lie groups and Lie algebras.
 Hochschild cohomology of blocks and modular representations. Braid groups and Configuration Spaces.

Doug Ravenel
 Algebraic topology specifically problems related to homotopy groups of spheres, the AdamsNovikov spectral sequence, and its connections with number theory. See Ravenel’s research page for more details.
 Published books:
 Complex Cobordism and Stable Homotopy Groups of Spheres
 Nilpotence and Periodicity in Stable Homotopy Theory, Annals of Mathematics Studies, Princeton University Press.
Emeritus Faculty

Joseph Neisendorfer
 Rational homotopy theory. Unstable Homotopy Theory.
 Published books:
 Algebraic Methods in Unstable Homotopy Theory, Cambridge University Press, 2010.
Postdoctoral Faculty

Irina Bobkova
 Stable homotopy theory. Computations in chromatic homotopy theory.

Carl McTague
 Topology & algebraic geometry
Recent Postdoctoral Faculty that have moved
 John Olsen
 System Developer at Edlund A/S in Copenhagen, Denmark.
 Scott Bailey
 Assistant Professor at Clayton State University.
 Troy Winfree
 Mathematician working for Boeing in Seattle.
 Juan OrtizNavarro
 Professor at Universidad de Puerto Rico, Mayaguez.
 Paul Pearson
 Professor at Fort Lewis College.
 Aaron Heap
 Professor at SUNY Geneseo.
 Ryan Budney
 Associate Professor at University of Victoria, British Columbia, Canada.
 Mike Jackson
 Associate Professor of Mathematics, Grove City College.
 Ethan Pribble
 Assistant Professor of Mathematics, SUNY College at Old Westbury.
 Inga Johnson
 Associate Professor of Mathematics, Willamette University.
Current Graduate Students
 Mingcong Zeng (Ravenel)
 Yan Zou (Ravenel)
 Patrick Papadopulos (Cohen)
Past Graduate Students
See the Mathematics Genealogy Project.

Jonathan Lopez (2010, Cohen)
Assistant Professor of Mathematics, Niagara University 
Sun Qiang (2009, Cohen)
Research Associate, Aetna Health. 
Andrew Salch (2007, Ravenel)
Wayne State University. 
Tao Jin (2008, Cohen)
Harvard University Economics Ph.D. program. 
Maria Voloshina Nogin (2003, Cohen)
California State University at Fresno. 
Takeshi Sato (2000, Cohen)
(No information available) 
Eva Culakova (1999, Harper)
BioStat Dept. at University of Rochester 
Jeff Wang (1997, Cohen)
Industry 
Miguel Xicotencatl (1997, Cohen)
Centro de Investigacion, Mexico City 
Jie Wu (1995, Cohen)
National University of Singapore 
Binhua Mao (1994, Ravenel)
(No information available) 
Jesus Gonzalez Espino Barros (1994, Gitler)
Centro de Investigación, Mexico City 
Octav Cornea (1993, Neisendorfer)
Université de Montréal 
Ran Levi (1993, Cohen)
University of Aberdeen 
Dai Tamaki (1993, Cohen)
Shinshu University, Japan 
Younggi Choi (1992, Ravenel)
National Seoul University, South Korea 
Janice Pearce (1992, Neisendorfer
Berea College 
Shiuchun Wong (1991, Cohen)
Zechiang University, Hangchou.
scwong (at) math.zju.edu.cn 
Marie Anna Maier (1987, Harper)
(No information available) 
Robert Thompson (1986, Ravenel)
Hunter College, CUNY 
Daniel Waggoner (1985, Cohen)
Federal Reserve Bank, Atlanta 
Austin C. Pearlman (1985, Ravenel)
(Deceased) 
Judy Wathen (1982, Harper)
(No information available) 
Stephen A. Mitchell (1981, Ravenel)
University of Washington 
David J. Pengelley (1980, Ravenel)
New Mexico State University 
Daciberg Goncalves (1977, Harper)
Universidade de Sao Paulo, Brazil 
Laura Weiss (1973, Harper)
(No information available) 
Gerald Lieberman (1972, Harper)
(No information available)
Recent Graduate Courses
 Fall 2012

 MTH 546: Cohomology of Groups.
 Spring 2011

 MTH 549: Lie Groups, Lie Algebras and their representations, Part II.
Instructor: Jonathan Pakianathan
 MTH 549: Lie Groups, Lie Algebras and their representations, Part II.
 Fall 2010

 MTH 549: Lie Groups, Lie Algebras and their representations, Part I.
Instructor: Jonathan Pakianathan
 MTH 549: Lie Groups, Lie Algebras and their representations, Part I.
 Spring 2010


MTH 549: A solution to the ArfKervaire Invariant Problem.
Instructor: Doug Ravenel 
MTH 591: Topics in Alg. Topology: Spectral Sequences and Characteristic Classes.
Instructor: Jonathan Pakianathan

 Fall 2009


MTH 549: Topological Automorphic Forms.
Instructor: Doug Ravenel 
MTH 591: Topics in Alg. Topology: Vector Bundles and Characteristic Classes.
Instructor: Jonathan Pakianathan

 Spring 2007


MTH 443: Algebraic Topology.
Instructor: Fred Cohen 
Topics course: MTH 549: Algebraic curves in algebraic topology
Instructor: Doug Ravenel

 Spring 2006

 MTH 443: Algebraic Topology
Instructor: Doug Ravenel
 MTH 443: Algebraic Topology
 Spring 2005

 MTH 443: Algebraic Topology
Instructor: Doug Ravenel
 MTH 443: Algebraic Topology
 Spring 2004

 MTH 443: Algebraic Topology
Instructor: Doug Ravenel
 MTH 443: Algebraic Topology
 Fall 2003

 Topics course: MTH 549: Elliptic cohomology
Instructor: Doug Ravenel
 Topics course: MTH 549: Elliptic cohomology
 Spring 2003


MTH 443: Algebraic Topology
Instructor: Doug Ravenel 
Topics course: Exponents in the homotopy groups of spheres.
Instructor: Joseph Neisendorfer

 Fall 2002

 Topics course: Introduction to classical techniques of homotopy theory.
Instructor: Fred Cohen
 Topics course: Introduction to classical techniques of homotopy theory.
 Spring 2002


Topics course: Group cohomology and the descending central series Lie algebra.
Instructor: Fred Cohen 
MTH 443: Algebraic Topology
Instructor: Doug Ravenel

 Fall 2001


Topics course: Group cohomology, braid groups and mapping class groups.
Instructor: Fred Cohen 
Topics course: MTH 549: Model Categories
Instructor: Doug Ravenel

Topology links
 Hopf Archive
 ArXiv
 Don Davis’s Topology page
 Midwest Topology Seminar
 List of webpages for some Algebraic Topologists