# Undergraduate Program

## Past Honors Papers and Future Plans

## 2021:

## 2020:

Honors Thesis | Future Plans |

Dustin Kasser: Series Rearrangements Using Density Functions. | |

Xin Lu: On NP-intermediate, Isomorphism problems, and Polynomial Hierarchy. | MS Computer Science program at Stanford University. |

Gregory Michajlsyzyn: On the discriminant of the Hecke ring and its index in the corresponding ring of integers. | Mathematics Ph.D. program at University of Connecticut. |

John Ennis: Curvature of Riemannian Manifolds. | |

Byron Osterweil: Geometric problems in vector spaces over finite fields, and a generalization of a sum estimate. | Mathematics Ph.D. Program at University of California, Irvine. |

Orion Haunstrup: New Findings on the Collatz Conjecture Reveal a Hidden Global Stability - a possible road to a proof. | |

Chengyuan Wang: Models of epidemic spread. |

## 2019:

Honors Thesis | Future Plans |

Joshua Beck: An application of differential geometry to freeform optics manufacturing. | Optimax Systems Inc. |

Kevin Hunt: The eigenvalue distribution of random matrices with distortion. | PhD Economics, U. Wisconsin-Madison |

Shenxiong Li: On the Spectrum and Essential Minimum of Heights in the Projective Plane. | |

Zachary Polansky: Equilateral triangles in vector spaces over finite fields. | Google Inc. |

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 Thesis | Future Plans |

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. | PhD Mathematics, Penn State |

David Soukup: Embeddings of Weighted Graphs in Erdos-type Settings. | |

Zhonghui Sun: Projection Theorems in Vector Spaces over Finite Fields. | |

Mark Sweeney: Model Theory. | PhD Mathematics, Brown |

Alfredo Vargas: Minimal Surfaces in R^3. | |

Jean Weill: Yang-Mills Theory on a Cylinder. |

**2017:**

Honors Thesis | Future Plans |

Charlotte Aten: The Topology of Magmas. | PhD Mathematics, UR |

Noah Chrein: Enriched Coproducts and the Twisted Adjunction. | |

Benjamin Dees: Analogs of the Erdos integer distance principle in vector spaces over finite fields. | PhD Mathematics, Johns Hopkins |

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. | PhD Mathematics, UR |

**2016:**

Honors Thesis | Future Plans |

Luke Cybulski: Sugawara's construction of the Virasoro algebra for c=1,h=0. | |

Bai Lin: Sums of permutations. | PhD Mathematics, UR |

Haoran Liu: Infinite Galois theory. | |

Brian McDonald: Hinges in Z_p^d and applications to pinned distance sets. | PhD Mathematics, UR |

Lisa Rosenfeld: The box problem in two and higher dimensions. | FDIC |

Adam Scrivener: On incomplete distance sets in Z_p x Z_p. | |

Yinuo Zhang: Shifted K-theoretic Pourier-Reutenauer algebra. | PhD Economics, Princeton |

**2015:**

Honors Thesis | Future Plans |

Douglas Miller | Jump Trading (Chicago) |

David Sekora: Discrete valuation rings and Dedekind domains. | |

Luke Vaicunas | PhD Mathematics, MSU |

Elizabeth Winkelman: The CW-complex of translation surfaces of genus 2 with one singularity. | PhD Mathematics, U. of Utah |

**2014:**

Honors Thesis | Future Plans |

Lawrence Barrett | |

James Haley | MS Mathematics, U. of Waterloo |

Peihong Jiang: Controlling generic formal fibers of polynomial rings. | |

Jia Shuo Liu | |

Alexander McDonald | PhD Mathematics, UR |

Sean Spriggens | PhD Mathematics, Syracuse |

Ari Stoler: Conjugacy classes and irreducible representations of metacyclic groups. |

**2013:**

Honors Thesis | Future Plans |

Yuefeng Liang | MS Statistics, U. of Chicago |

Emmett Wyman: Two geometric combinatorial problems in vector spaces over finite fields. | PhD Mathematics, Johns Hopkins |

Yujia Zhai: Areas of triangles and Beck's theorem in places over finite fields. | PhD Mathematics, Cornell |

**2012:**

Honors Thesis | Future Plans |

Matej Penciak | PhD Mathematics, Illinois Urbana-Champaign |

Peter Richter | |

Xiaoqing Tang: Simple proof of the Guth-Katz joints theorem. |