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A student who satisfies the requirements of the College for admission to the Honors Program and
is interested in doing independent work is strongly encouraged to participate in the departmental
Honors Program. Students who successfully complete the Honors Program will have their degrees
conferred with 'Honors' or 'High Honors' in mathematics; high honors is awarded only if the student
submits a written thesis. Interested students should read carefully the section *The Honors
Program in Mathematics* found in the *Dartmouth ORC* and consult with the Department Advisor
to Mathematics Majors.

This program can be especially important to those who contemplate graduate work in mathematics or a related field.

The following honors theses are available in PDF in full-text or abstract format. Emphasized titles denote winners of the Hazleton Mirkil Prize for Best Senior Thesis Presentation, awarded at the Department’s annual barbecue, generally held in May.

- On Specializations of Belyi Maps and Inverse Galois Theory

Zachary Couvillion, advisor John Voight - Cliques Can Click! Evolutionary Dynamics on Two-Clique and Clique-Like Graphs with Resource Heterogeneity

Archita Harathi, advisor Feng Fu - Pre-processing Methods for Change Detection on Under-sampled and Noisy Fourier Data

Ivy Junqing Yan, advisor Anne Gelb

- Physics-Informed Neural Networks and Options Pricing

Andreas Louskos, advisor Yoonsang Lee - Fields of Moduli for QM Abelian Surfaces with CM

Jacob Swenberg, advisor John Voight

- Using Bayes Error Rate Estimation to Analyze Feature Spaces

Sriram Bapatla, advisor Anne Gelb - Belyi Maps and the Euclidean Triangle Groups

Matthew Radosevich, advisor John Voight - The Effect of Buffer Therapy on the Acid-mediated Transition to Malignancy: A Mathematical Model of Acidosis in Spheroid and Xenograft Culture

Frederika Rentzeperis, advisor Dorothy Wallace - Exploration into Reducing Uncertainty in Inverse Problems Using Markov Chain Monte Carlo Methods

Jiahui (Jack) Zhang, advisor Anne Gelb

- An Examination of Alternative Multiplex Modularity Maximization Models

Jason Cheal, advisor Scott Pauls - Modeling Spillovers of Emerging Infectious Diseases with Intermediate Hosts

Katherine Royce, advisor Feng Fu

- Co-Diffusion of Social Contagions

Ho-Chun Herbert Chang, advisor Feng Fu - Numbers free of large prime factors

Jared Duker Lichtman, advisor Carl Pomerance - Understanding Gambling Behavior and Risk Attitudes Using Massive Online Casino Data

Jonathan Meng, advisor Feng Fu - Modeling, Analysis, and Simulation of Temperature-Dependent Fluctuations in the Population of the Yellow Fever Mosquito,
*Aedes aegypti*, in Outdoor, Indoor, and Underground Habitats

Annika Roise, advisor Dorothy Wallace

- Neural Spike Sorting Algorithms for Overlapping Spikes

Paula X. Chen, advisor Alex Barnett - Special Values of Riemann Zeta Function

Milan P. Huynh, advisor Naomi Tanabe - Social Imitation Dynamics of Vaccination Driven by Vaccine Effectiveness and Beliefs

Ran Zhuo, advisor Feng Fu

- On Class Number as Determinants of Random Matrices

Prajeet Bajpai, advisor John Voight - Opinion Formation on Clustered Networks and Its Implications

Amanda Fritz, advisor Nishant Malik - A Generalization of the Alexandrov and Path Topologies of Spacetime via Linear Orders

Luis Martinez, advisor Jody Trout - Category Theory and the Gelfand-Naimark Theorem

Charles Rafkin, advisor Erik van Erp

- Estimation of Ising Graphical Models

James Brofos, advisor Eugene Demidenko - Implications of heterogeneous mosquito body-size in mosquito and malaria dynamics

Jennifer Jin, advisor Olivia Prosper - A Computational Investigation of Arithmetic Triangle Groups

Steven Nugent, advisors John Voight and Dan Rockmore

- G-edge colored planar rook algebra

Sean Griffin, advisor Rosa Orellana - Hermit points on an octahedron

Annie Mauhs-Pugh, advisor Peter Doyle - Sandbagging in one-card poker

Daniel Miao, advisor Peter Doyle - The reciprocal sum of the amicable numbers

Hanh Nguyen, advisor Carl Pomerance - Counting Clusters on a Grid

Jacob Richey, advisor Peter Winkler - Russell Sets, Topology, and Cardinality

Ethan Thomas, advisor Marcia Groszek - Monte Carlo Comparison of Strategies for Blackjack

Atul Vaidyanathan, advisor Peter Winkler - Control Strategies and Seasonal Fluctuation in Tsetse Fly Populations and Human African Trypanosomiasis: A Mathematical Model

Nejc Zupan, advisor Dorothy Wallace

- Interval Vector Polytopes

Gabriel Dorfsman-Hopkins, advisor Rosa Orellana - Scalable Inference Algorithms for Clustering Large Networks

Joseph Futoma, advisor Dan Rockmore - Generating Random Factored Gaussian Integers, Easily

Noah Lebowitz-Lockard, advisor Carl Pomerance - Boundary Integral Equations in Linearly Graded Media

Brad Nelson, advisor Alex Barnett

- Optimal Betting for Fixpoint Solitaire

Andrew J. Cala, advisor Peter Doyle - On the Connected Sum of Alternating Virtual Knots

Gregory S. Elliot, advisor Vladimir Chernov - Several Strategies to Cope with Negative Weights in the Optimal Portfolio Allocation and Their Implementation

Paul Lintilhac, advisor Eugene Demidenko - The Spectral Structure of the Credit Default Swap Market

Philip Winsor, advisor Dan Rockmore - Unitary Untouchable Numbers

Hee-Sung Yang, advisor Carl Pomerance

- Smoothed character sums

Kamil Adamczewski, advisor Carl Pomerance - Markov Chain Monte Carlo for Automated Tracking of Genealogy in Microscopy Videos

Kathleen Champion, advisors Alex Barnett and Amy Gladfelter - The Kronecker Product of two monomial symmetric functions

Katherine Roddy, advisor Rosa Orellana

- The average order of elements in the multiplicative group of a finite field

Yilan Hu, advisor Carl Pomerance - Semantic analysis of fine-scale structures in the wikipedia network

Miles Kenyon, advisor Dan Rockmore - The spatiotemporal dynamics of African Cassava Mosaic Disease

Zoe Lawrence, advisors Dorothy Wallace and Alex Barnett - Isospectral surfaces with distinct covering spectra

Seunghee Ye, advisor Craig Sutton

- Evidence of Four Phases in Discrete Square Packing

Edward Chien, advisor Peter Winkler - Equivalents of Failures of the Axiom of Choice

Tom Kern, advisor Marcia Groszek - Characterizations of the Forbidden Patterns of Functions

Yangyang Liu, advisor Sergi Elizalde - An Extension of the
Wheaties Problem

Jennifer Luong, advisor Peter Doyle - A Network Approach to Industrial Input-Output Analysis

Matthew Miller, advisor Dan Rockmore - Tools for computing the capacitance of the unit cube

and Laplace eigenfunctions on the sphere

Yong Su, advisor Alex Barnett - A Comparative Network Analysis of International Migration and Trade Networks

Qinggong Wu, advisor Dan Rockmore

- Investigations in Diffuse Optical Tomography

Chetan Mehta, advisor Alex Barnett - Characterizing Graphs with Equal Chromatic Symmetric Functions

Geoffrey S. Scott, advisor Rosa Orellana - Efficient Hermite Transforms

Robert Taintor, advisor Dan Rockmore

- Kronecker Product of Schur Functions of Two-Part Partitions

Laura Brill, advisor Rosa Orellana - Recovery from Sports Concussion in High School and Collegiate Athletes

Mike McClincy, advisor Peter Doyle

- Generalization of Torus Homotopy Groups

Alex Pytel, advisor Martin Arkowitz - Quantum Groups and Open Problems in Total Nonnegativity

Neelesh Tiruviluamala, advisor Mark Skandera