Honors Program Presentations

Mathematics Honors Program Presentations are held each June. These presentations were based on theses submitted for examination to the Mathematics Department Honors Committee.

The Mathematics Department Honors Committee determines the level of honors awarded (Honors with Distinction, Honors with High Distinction, or Honors with Highest Distinction), based on the student's GPA in the major and the quality of the honors work.

2017-2018

Name	Honors Level	Thesis	Advisor(s)
Amin Fozi	Honors with Distinction	Algorithmic Reconstruction of Inverted Relationships Using the Alyawarra Kinship Glossary	David Meyer
Harveen Kaur	Honors with High Distinction	Minimal Sets for Unipotent Flows Are Compact	Amir Mohammadi
Zecheng Kuang	Honors with Distinction	Singular-Value Decomposition and Its Applications	Thang Huynh
Xinyi Luo	Honors with Highest Distinction	Anti-Cycling Methods for Linear Programming	Philip Gill
Zhao Lyu	Honors with High Distinction	Simplicial Mesh Refinement in Computational Geometry	Martin Licht
Karina Meneses-Cime	Honors with Highest Distinction	The Intractability and the Tractability of the Orthogonal Vectors Problem	Sam Buss
Drew Nguyen	Honors with Distinction	Linear Models and Sequential Hypothesis Testing	Ian Abramson
Laura Thapa	Honors with High Distinction	Applications of Classification Trees to San Diego Marine Layer Prediction	Michael Holst

2016-2017

Name	Honors Level	Thesis	Advisor(s)
He Jiang	Honors with Distinction	A Comparison of Permutation and Bootstrap Tests	Ery Arias-Castro
Sohyeon Park	Honors with High Distinction	Optimal Worm Shapes in a Caustic Environment	Li-Tien Cheng, Bo Li
Jiayi Tong	Honors with High Distinction	Random Matrices with Blocks of Intermediate Scale Strongly Correlated Band Matrices	Todd Kemp
Brian Tran	Honors with Highest Distinction	Structure Preserving Discretizations of Classical Field Theories	Michael Holst, Melvin Leok

2015-2016

Name	Honors Level	Thesis	Advisor(s)
Nathan Chen	Honors with Distinction	On the Fundamental Groups of Ricci Solitons	Bennett Chow
Wanting Chen	Honors with Distinction	Effect of Graph Structures on Selection for a Model of a Population on an Undirected Graph	Jason Schweinsberg
Yujo Chen	Honors with Distinction	Topics in Number Theory: Elliptic Curves	Daniel Kane
Stavros Sioutis	Honors with High Distinction	Calibration and Filtering of Exponential Lévy Option Pricing Models	Philip Gill, Allan Timmermann, Patrick Fitzsimmons

2014-2015

Name	Honors Level	Thesis	Advisor(s)
John Dougherty	Honors with High Distinction	Vassiliev Invariants, Chord Diagrams, and Jacobi Diagrams	Justin Roberts
Michael Olsen	Honors with High Distinction	Numerical Performance of Time-Frequency Transforms in Lossy Audio Coding	Michael Holst
Bjorn Wehlin	Honors with Highest Distinction	Josephson Junctions in Unconventional Superconductors	David Meyer (Math), Robert Dynes (Physics), Shane Cybart (Physics)
Wenjing Yin	Honors with Highest Distinction	Robust Significance Testing in Sparse and High Dimensional Linear Models	Jelena Bradic

2013-2014

Name	Honors Level	Thesis	Advisor(s)
Artem Mavrin	Honors with High Distinction	A Survey of Analytic Number Theory	Alina Bucur
Sam Tracy	Honors with Distinction	Ordinal data and a comparison of the General Estimating Equations against Maximum Likelihood Estimation	Ronghui "Lily" Xu
Laura Wilke	Honors with Distinction	Comparing Partial Rankings	David Meyer

2012-2013

Name	Honors Level	Thesis	Advisor(s)
Camille Briat	Honors with Distinction	Random-to-Random Shuffles	Todd Kemp
Gregory Edwards	Honors with High Distinction	On Genus Zero Stable Maps to the Flag Variety	Dragos Oprea
Siuyung Fung	Honors with High Distinction	Functions of Baire Class One	Jacob Sterbenz
Geoff Ganzberger	Honors with High Distinction	Some Properties of Rational Points on Elliptic Curves	Alina Ioana Bucur

2011-2012

Name	Honors Level	Thesis	Advisor(s)
Katie Gedeon	Honors with Distinction	Simultaneous Triangularization of Certain Sets of Matrices	Lance Small
Lihua Huang	Honors with High Distinction	Keeler's Theorem and products of distinct transpositions	Ron Evans
Natalie Sauerwald	Honors with Distinction	A Wavelet-Based Approach to Template Matching Under Scaling and Translation	David Meyer
Anila Yadavalli	Honors with Distinction	Quadrant marked mesh patterns in words	Jeffrey Remmel

2010-2011

Name	Honors Level	Thesis	Advisor(s)
Shishir Agrawal	Honors with Highest Distinction	The Euler Characteristic of the Moduli Space of Stable Maps into a Grassmannian	Dragos Oprea
Matthew Cha	Honors with High Distinction	A quantum random walk model for the (1+2) dimensional Dirac equation	David Meyer
Leilani Gilpin	Honors with Distinction	The Impact of Topology and Communication Models on Connectivity in Networks	Melvin Leok
Minji Kim	Honors with Distinction	Second Order Reed-Muller Decoding Algorithm in Quantum Computing	David Meyer
Bryce Terwilliger	Honors with Distinction	The Asymptotic Efficiency of the Bell-Doksum Procedure Relative to the T-test	Ian Abramson

2009-2010

Name	Honors Level	Thesis	Advisor(s)
Konstantin Dragomiretskiy	Honors with High Distinction	On Gauss Sums, Cyclotomic Number Fields and Stickelberger's Theorem	Harold Stark
Sarah Elghraoui	Honors with Distinction	Graphs, Zeta Functions, Diameters, and Cospectrality	Audrey Terras
Hayley Miles-Leighton	Honors with Distinction	Local Discontinuous Galerkin Method for the Stochastic Heat Equation	Michael Holst
Franklin Wu	Honors with High Distinction	Induced Forests in Planar Graphs	Jacques Verstraete

2008-2009

Name	Honors Level	Thesis	Advisor(s)
Kathryn Farrell	Honors with High Distinction	Hamiltonian Mechanics and the Construction of Numerical Integrators	Michael Holst
Kevin Heins	Honors with Distinction	Spatial Correlation of Solar Radiation Stations Using Cross-Spectral Methods	Ery Arias-Castro

2007-2008

Name	Honors Level	Thesis	Advisor(s)
Vitaly Katsnelson	Honors with High Distinction	Chemical Reaction Networks: Comparing Deficiency, Determinant Expansions, and Sign Patterns	Bill Helton
Jennifer B. Webster	Honors with Distinction	Comparsion of Two Methods for Modeling Electron-Radiation Interactions	Michael Holst

2006-2007

Name	Honors Level	Thesis	Advisor(s)
Jonathan David Kommemi	Honors with Highest Distinction	Variational methods for weak solutions to the Einstein Hamiltonian constraint on finite domains with boundary	Michael Holst
Frank Lam	Honors with High Distinction	Special values of hypergeometric functions over finite fields	Ron Evans
Xinyi Lin	Honors with High Distinction	Estimation of the primary hazard ratio in the presence of a secondary covariate with non-proportional hazards	Ronghui Xu

2005-2006

Name	Honors Level	Thesis	Advisor(s)
Will Garner	Honors with Distinction	Planting the (Intellectual) Need From Which Learning Grows	Guershon Harel
Jeremy M. Greene	Honors with High Distinction	Noncommutative Polynomials with Almost Positive Second Derivatives	J. William Helton
Eric Yin	Honors with Distinction	Multilevel Iterative Methods	Randy Bank

2004-2005

Name	Honors Level	Thesis	Advisor(s)
Joey Hammer	Honors with Distinction	Decomposing Hackenbush	Leonard Haff
Joshua A. Hernandez	Honors with Distinction	Non-Commutative Subharmonic and Harmonic Polynomials	J. William Helton
Chris Melancon	Honors with Distinction	Simulation of a Quantum Random Walk	Jeffrey Rabin, David Meyer
Jonathan Pearlman	Honors with Distinction	Necessary Conditions for the Non-existence of Odd Perfect Numbers	Ronald Evans
Christopher Severs	Honors with High Distinction	Distance 2 Permutation Statistics and Symmetric Functions	Jeffrey Remmel