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Honors Program
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
The following honors theses are available in PDF in fulltext or abstract format.
2018
 CoDiffusion of Social Contagions
HoChun 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 TemperatureDependent 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 GelfandNaimark Theorem
Charles Rafkin, advisor Erik van Erp
2015
 Estimation of Ising Graphical Models
James Brofos, advisor Eugene Demidenko  Implications of heterogeneous mosquito bodysize 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
 Gedge colored planar rook algebra
Sean Griffin, advisor Rosa Orellana  Hermit points on an octahedron
Annie MauhsPugh, advisor Peter Doyle  Sandbagging in onecard 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 DorfsmanHopkins, advisor Rosa Orellana  Scalable Inference Algorithms for Clustering Large Networks
Joseph Futoma, advisor Dan Rockmore  Generating Random Factored Gaussian Integers, Easily
Noah LebowitzLockard, 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
HeeSung 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 finescale 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 InputOutput 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 TwoPart 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