# Undergraduate Program

## Past Honors B.S. and B.A. Papers

## 2019 Honors Papers:

- Joshua Beck: An application of differential geometry to freeform optics manufacturing.
- Kevin Hunt: The eigenvalue distribution of random matrices with distortion.
- Shenxiong Li: On the Spectrum and Essential Minimum of Heights in the Projective Plane.
- Zachary Polansky: Equilateral triangles in vector spaces over finite fields.
- Guowei Shan: On zeros of the p-adic zeta function and generic Newton polygons of Hecke polynomials.
- Manuel Stoeckl: Approaches for the hinge and distinct distance problems.

## 2018 Honors Papers:

- Dionel Jaime: Method of Stationary Phase and Applications.
- Shir Maimon: Elliptic Curve Cryptography.
- Logan Meredith: On the Cauchy-Kowalevski theorem for analytic nonlinear partial differential equations.
- Kenneth Plante: Free Actions on products of spheres.
- Gabrielle Scullard: Factorization Properties of Integer-Valued Polynomials.
- David Soukup: Embeddings of Weighted Graphs in Erdos-type Settings.
- Zhonghui Sun: Projection Theorems in Vector Spaces over Finite Fields.
- Mark Sweeney: Model Theory.
- Alfredo Vargas: Minimal Surfaces in R^3.
- Jean Weill: Yang-Mills Theory on a Cylinder.

**2017 Honors Papers:**

- Charlotte Aten: The Topology of Magmas.
- Noah Chrein: Enriched Coproducts and the Twisted Adjunction.
- Benjamin Dees: Analogs of the Erdos integer distance principle in vector spaces over finite fields.
- Adam Lott: Roth's Theorem on Arithmetic Progressions.
- Lee Murphy: The Jordan-Brouwer Separation Theorem.
- Daniel Rubery: On a finite field analog of the bilinear spherical averaging operator.
- Emily Windes: The Frobenius Theorem and Foliations.

**2016 Honors Papers:**

- Luke Cybulski: Sugawara's construction of the Virasoro algebra for c=1,h=0.
- Bai Lin: Sums of permutations.
- Haoran Liu: Infinite Galois theory.
- Brian McDonald: Hinges in Z_p^d and applications to pinned distance sets.
- Lisa Rosenfeld: The box problem in two and higher dimensions.
- Adam Scrivener: On incomplete distance sets in Z_p x Z_p.
- Yinuo Zhang: Shifted K-theoretic Pourier-Reutenauer algebra.

**2015 Honors Papers:**

- David Sekora: Discrete valuation rings and Dedekind domains.
- Elizabeth Winkelman: The CW-complex of translation surfaces of genus 2 with one singularity.

**2014 Honors Papers:**

- Peihong Jiang: Controlling generic formal fibers of polynomial rings.
- Ari Stoller: Conjugacy classes and irreducible representations of metacyclic groups.

**2013 Honors Papers:**

Emmett Wyman: Two geometric combinatorial problems in vector spaces over finite fields.

Yujia Zhai: Areas of triangles and Beck's theorem in places over finite fields.