Honors Theses in Mathematics and Statistics

 

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Honors Theses from 2023

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Elliptic Curves Over Finite Fields, Christopher S. Calger

Honors Theses from 2022

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Representation Theory and its Applications in Physics, Jakub Bystrický

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Decoding Cyclic Codes via Gröbner Bases, Eduardo Sosa

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Decomposing Manifolds in Low-dimensions: from Heegaard Splittings to Trisections, Suixin "Cindy" Zhang

Honors Theses from 2021

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A Generalized Polar-coordinate Integration Formula, Oscillatory Integral Techniques, and Applications to Convolution Powers of Complex-valued Functions on $\mathbb{Z}^d$, Huan Q. Bui

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Counting Conjugacy Classes of Elements of Finite Order in Compact Exceptional Groups, Qidong He

Honors Theses from 2019

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Basis Reduction in Lattice Cryptography, Raj Kane

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Primes in Arithmetical Progression, Edward C. Wessel

Honors Theses from 2018

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Parametric Polynomials for Small Galois Groups, Claire Huang

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Algebraic Number Theory and Simplest Cubic Fields, Jianing Yang

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On Spectral Theorem, Muyuan Zhang

Honors Theses from 2017

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Chow's Theorem, Yohannes D. Asega

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Tying the Knot: Applications of Topology to Chemistry, Tarini S. Hardikar

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Normal Surfaces and 3-Manifold Algorithms, Josh D. Hews

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Some Examples of the Interplay Between Algebra and Topology, Joseph D. Malionek

Honors Theses from 2015

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The Central Hankel Transform, Matthew J. Levine

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Quantization of Analysis, Kelvin K. Lui

Honors Theses from 2013

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The Eichler-Selberg Trace Formula for Level-One Hecke Operators, Alex Barron

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A Monte Carlo Simulation Study of the Performance of Hypothesis Tests Under Assumption Violations, Gareth Cleveland

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Unknotting Number and Combinatorial Sutured Manifold Theory, Alexander Rasmussen

Honors Theses from 2012

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The Radon Transform and the Mathematics of Medical Imaging, Jen Beatty

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Recurrence Relations, Fractals, and Chaos: Implications for Analyzing Gene Structure, Sarah. M. Harmon

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Odd or Even: Uncovering Parity of Rank in a Family of Rational Elliptic Curves, Anika Lindemann

Honors Theses from 2010

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Describing Gray Wolf Movement Using Brownian Motion and PDEs, Ashley M. Blum

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No, I’m really, really bad at math: Competition for self-verification, Alexandra E. Wesnousky