This page is dedicated to the description of the
honors thesis component of the Honors BA program at the
University of Rochester Department of Mathematics for
undergraduate students. You
can find the description of the requirements of the Honors BA
program at this link.

**Basic description of the honors thesis:**

The honors thesis is research project, original or expository, or a combination of both, typically performed under the direction of a faculty member at the University of Rochester. If a compelling case is made, work may be performed under the direction of a faculty member from another department, another university or research center or a private corporation. The writeup must be at least 10 pages long and include a thorough introduction and reference sections. The honors thesis must be presented in a public lecture at the UR Department of Mathematics in the presence of the Thesis Committee, consisting of the thesis adviser and at least two members of the honors committee. If the adviser is a member of the Honors Committee, one of the remaining members of the thesis committee need not be a member. Upon the completion of the presentation, the advisor and committee member must fill out and sign the honors form (enclosed below) if they feel the honors thesis meets the sufficient requirements.

**Honors Committee:** The current honors
committee consists of the following people: Steve Gonek, Doug
Haessig, Alex Iosevich (Chair of the Committee) and Naomi
Jochnowitz.

**Procedure:** The students who wish to
write an honors thesis are strongly encouraged to begin the
process by the middle of the Fall semester of their senior year,
at the very latest. By the end of the Fall semester they should
provide the following information to the Honors Committee:

i) The name of the adviser

ii) The names of the remaining two members of the Thesis Committee. Note that at lest two out of the three members of the thesis committee must be members of the Honors Committee.

ii) A tentative title and a rough description of the research

A good draft of the honors thesis must be sent to the thesis committee and the Honors Committee by April 1 and the honors thesis presentation is to be scheduled and announced at that time. The thesis committee members are expected to send a list of corrections and suggestions on the proposed honors thesis to the author within a week. This will give the author an opportunity to make the appropriate adjustments to the thesis prior to the presentation.

Honors Form

**Some recent Honors BA recipients and their honors
theses: **

**2018**

David Soukup (Alex Iosevich)

Dionel Jamie (Alex Iosevich)

Zhonghui Sun (Alex Iosevich)

2017

Ben Dees (Alex Iosevich) Title: Analogs of
the Erdos Integer Distance Principle in finite fields

Adam Lott (Alex Iosevich) Title: Roth's theorem on arithmetic progressions

Daniel Rubery (Alex Iosevich) Title: Bilinear operators

**2016 **

Luke Cybulski (Rajeev) Title: Sugawara's construction of Virasoro algebra for c=1,h=0
Bai Lin (Dan Geba) Title: Sums
of permutations

Brian McDonald (Alex Iosevich) Tite: Hinges in Z_p^d and applications to pinned distances sets

Lisa Rosenfeld (Alex Iosevich) Title: The box problem in two and higher dimensions

Adam Scrivener (Alex Iosevich) Title: On incomplete distance sets in Z_p x Z_p

Yinuo Zhang (Jonathan Pakianathan) Title: Shifted K-theoretic Pourier-Reutenauer algebra

**2015 **

David Sekora (Naomi Jochnowitz) Title: Discrete valuation rings and Dedekind domains

Elizabeth Winkelman (Jonathan Pakianathan) Title: The CW-complex of translation surfaces of genus 2 with one singularity

**2014 **

Peihong Jiang (Naomi Jochnowitz) Title: Controlling generic formal fibers of polynomial rings

Ari Stoller (Naomi Jochnowitz) Title: Conjugacy classes and irreducible representations of metacyclic groups

**2013**

The honors thesis is research project, original or expository, or a combination of both, typically performed under the direction of a faculty member at the University of Rochester. If a compelling case is made, work may be performed under the direction of a faculty member from another department, another university or research center or a private corporation. The writeup must be at least 10 pages long and include a thorough introduction and reference sections. The honors thesis must be presented in a public lecture at the UR Department of Mathematics in the presence of the Thesis Committee, consisting of the thesis adviser and at least two members of the honors committee. If the adviser is a member of the Honors Committee, one of the remaining members of the thesis committee need not be a member. Upon the completion of the presentation, the advisor and committee member must fill out and sign the honors form (enclosed below) if they feel the honors thesis meets the sufficient requirements.

i) The name of the adviser

ii) The names of the remaining two members of the Thesis Committee. Note that at lest two out of the three members of the thesis committee must be members of the Honors Committee.

ii) A tentative title and a rough description of the research

A good draft of the honors thesis must be sent to the thesis committee and the Honors Committee by April 1 and the honors thesis presentation is to be scheduled and announced at that time. The thesis committee members are expected to send a list of corrections and suggestions on the proposed honors thesis to the author within a week. This will give the author an opportunity to make the appropriate adjustments to the thesis prior to the presentation.

Honors Form

Dionel Jamie (Alex Iosevich)

Zhonghui Sun (Alex Iosevich)

2017

Adam Lott (Alex Iosevich) Title: Roth's theorem on arithmetic progressions

Daniel Rubery (Alex Iosevich) Title: Bilinear operators

Luke Cybulski (Rajeev) Title: Sugawara's construction of Virasoro algebra for c=1,h=0

Haoran Liu (Doug
Haessig) Title: Infinite
Galois theory

Brian McDonald (Alex Iosevich) Tite: Hinges in Z_p^d and applications to pinned distances sets

Lisa Rosenfeld (Alex Iosevich) Title: The box problem in two and higher dimensions

Adam Scrivener (Alex Iosevich) Title: On incomplete distance sets in Z_p x Z_p

Yinuo Zhang (Jonathan Pakianathan) Title: Shifted K-theoretic Pourier-Reutenauer algebra

David Sekora (Naomi Jochnowitz) Title: Discrete valuation rings and Dedekind domains

Elizabeth Winkelman (Jonathan Pakianathan) Title: The CW-complex of translation surfaces of genus 2 with one singularity

Peihong Jiang (Naomi Jochnowitz) Title: Controlling generic formal fibers of polynomial rings

Ari Stoller (Naomi Jochnowitz) Title: Conjugacy classes and irreducible representations of metacyclic groups

Emmett Wyman (Alex Iosevich) Title: Two
geometric combinatorial problems in vector spaces
over finite fields

Yujia Zhai (Alex Iosevich) Title: Areas
of triangles and Beck's theorem in places over
finite fields

**2012**

Xiaoqing Tang (Alex Iosevich) Title:
Simple
proof of the Guth-Katz joints theorem