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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.

Abstracts of recent honors theses

The following honors theses abstracts are available in PDF.

• 2017
  • Neural Spike Sorting Algorithms for Overlapping Spikes, Paula X. Chen
  • Special Values of Riemann Zeta Function, Milan P. Huynh
  • Social Imitation Dynamics of Vaccination Driven by Vaccine Effectiveness and Beliefs, Ran Zhuo


• 2016
  • Opinion Formation on Clustered Networks and Its Implications, Amanda Fritz, advisor Nishant Malik
  • On Class Number as Determinants of Random Matrices, Prajeet Bajpai, advisor John Voight
  • 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


• 2014
  • G-edge colored planar rook algebra - Sean Griffin
  • Hermit points on an octahedron - Annie Mauhs-Pugh
  • Sandbagging in one-card poker - Daniel Miao
  • The reciprocal sum of the amicable numbers - Hanh Nguyen
  • Counting Clusters on a Grid - Jacob Richey
  • Russell Sets, Topology, and Cardinality - Ethan Thomas
  • Monte Carlo Comparison of Strategies for Blackjack - Atul Vaidyanathan
  • Control Strategies and Seasonal Fluctuation in Tsetse Fly Populations and Human African Trypanosomiasis: A Mathematical Model - Nejc Zupan


• 2013
  • Interval Vector Polytopes - Gabriel Dorfsman-Hopkins
  • Scalable Inference Algorithms for Clustering Large Networks - Joseph Futoma
  • Generating Random Factored Gaussian Integers, Easily - Noah Lebowitz-Lockard
  • Boundary Integral Equations in Linearly Graded Media - Brad Nelson


• 2012
  • Optimal Betting for Fixpoint Solitaire - Andrew J. Cala
  • On the Connected Sum of Alternating Virtual Knots - Gregory S. Elliot
  • Several Strategies to Cope with Negative Weights in the Optimal Portfolio Allocation and Their Implementation - Paul Lintilhac
  • The Spectral Structure of the Credit Default Swap Market - Philip Winsor
  • Unitary Untouchable Numbers - Hee-Sung Yang


• 2011
  • Smoothed character sums - Kamil Adamczewski
  • The Kronecker Product of two monomial symmetric functions - Katherine Roddy
  • Markov Chain Monte Carlo for Automated Tracking of Genealogy in Microscopy Videos - Kathleen Champion


• 2010
  • Semantic analysis of fine-scale structures in the wikipedia network - Miles Kenyon
  • The spatiotemporal dynamics of African Cassava Mosaic Disease - Zoe Lawrence
  • Isospectral surfaces with distinct covering spectra - Seunghee Ye
  • The average order of elements in the multiplicative group of a finite field - Yilan Hu


• 2009
  • Evidence of Four Phases in Discrete Square Packing - Edward Chien
  • Equivalents of Failures of the Axiom of Choice - Tom Kern
  • Characterizations of the Forbidden Patterns of Functions - Yangyang Liu
  • An Extension of the 'Wheaties Problem' - Jennifer Luong
  • A Network Approach to Industrial Input-Output Analysis - Matthew Miller
  • Tools for computing the capacitance of the unit cube
    and Laplace eigenfunctions on the sphere - Yong Su
  • A Comparative Network Analysis of International Migration and Trade Networks - Qinggong Wu


• 2008
  • Investigations in Diffuse Optical Tomography - Chetan Mehta
  • Characterizing Graphs with Equal Chromatic Symmetric Functions - Geoffrey S. Scott
  • Efficient Hermite Transforms - Robert Taintor


• 2006
  • Kronecker Product of Schur Functions of Two-Part Partitions - Laura Brill
  • Recovery from Sports Concussion in High School and Collegiate Athletes - Mike McClincy


• 2005
  • Generalization of Torus Homotopy Groups - Alex Pytel
  • Quantum Groups and Open Problems in Total Nonnegativity - Neelesh Tiruviluamala