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.
Recent honors theses
Emphasized titles denote winners of the Hazleton Mirkil Prize for Best Senior Thesis Presentation , awarded at the Department’s annual barbecue held at the end of spring term.
2024
- Translating Neurophysiological Recordings Into Dynamic Estimates of Conceptual Knowledge and Learning
Daniel Carstensen, advisors Peter Mucha and Jeremy Manning - On the Genera of Modular Curves
Calvin George, advisor John Voight - Pattern Avoidance in Nonnesting Permutations
Amya Luo, advisor Sergi Elizalde - Network Construction, Partitioning Methods, and Connectivity Measures for Analysis of Neural States Across Subjects
Rachel Matthew, advisor Peter Mucha - A Survey-Informed Evolutionary Opinion Dynamics Model of Political Activism with an Application to the 2022 Panamanian Protests
Arturo Serrano Borrero, advisor Olivia Chu - Bayesian Inference for Stochastic Predictions of Non-Gaussian Systems with Applications in Climate Change
Yunjin Tong, advisor Yoonsang Lee
2023
Michael Gonzalez, advisor Rosa Orellana- Bounded Adjointable Operators on Dense Subspaces of Separable Hilbert Spaces
Varun Malladi, advisor John Trout - Expanding the Legendrian Knot Atlas
Noah Schwartz, advisor Ina Petkova
Jenny Song, advisor Rosa Orellana- Expanding the Schelling Agent-Based Model: De Jure
Segregation Dynamics on a Network
Love Tsai, advisor Peter Mucha - Capturing Dynamical Systems Using Deep Learning and Understanding Optimal Data Size in Training Time Series Prediction Models
Brian Wang, advisor Yoonsang Lee - A Census of Cubic Fourfolds Over the Field with Two Elements
Jonah Weinbaum, advisors Jack Petok, Avinash Kulkarni, Asher Auel - Aspects of Alexander Duality
Henry Wildermuth, advisor Peter Doyle
2022
- 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
2021
- 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
2020
- 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
2019
- 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
2018
- 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
2017
- 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
2016
- 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
2015
- 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
2014
- 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
2013
- 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
2012
- 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
2011
- 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
2010
- 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
2009
- 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
2008
- 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
2006
- 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
2005
- Generalization of Torus Homotopy Groups
Alex Pytel, advisor Martin Arkowitz - Quantum Groups and Open Problems in Total Nonnegativity
Neelesh Tiruviluamala, advisor Mark Skandera