Honors Program
 Honors Program Information

Honors Theses
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 departmental 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.
Name  Honors Level  Thesis  Advisor(s) 

Artur Bayramyan  Honors with Distinction  Topological Algebra: Tool of Persistent Homology and Its Application In Analysing US School Market  Steven Sam 
Brian Chao  Honors with High Distinction  A spatial mutation model with increasing mutation rates  Jason Schweinsberg 
Austin Du  Honors with Distinction  Estimating Quadratically Regularized Wasserstein Distance on kConnected Graphs  Alex Cloninger 
Ibrahim Hajar  Honors with Distinction  Embeddability of Abstract PseudoEinstein CauchyRiemann Manifolds  Peter Ebenfelt 
Erding Liao  Honors with Distinction  An Investigation of Hidden Markov Model with Partially Missing Observations 
Ery AriasCastro 
Huanxi Liu  Honors with Distinction  An Evaluation of Hyperparameter Tuning Methods in SVM 
Ery AriasCastro 
Tomoki Oda  Honors with Distinction  Kleinian Singularities 
James M cKernan 
William Tran  Honors with Distinction  Spectral Theory of Graphons 
Ioana Dumitriu 
Jiyue Zeng  Honors with High Distinction  Numerical Methods for Convex Optimization and Their Applications 
Mareike Dressler, Martin Licht 
Lawrence Zhang  Honors with Distinction  A Friendly Introduction to Compressed Sensing 
Ery AriasCastro 
Name  Honors Level  Thesis  Advisor(s) 

Yi Fu  Honors with High Distinction  Empirical Properties of Extreme Points Arising in Semidefinite Programming with Matrix Variables  Bill Helton 
Haoyang Li  Honors with Distinction  Randomized Numerical Linear Algebra and Its Applications  Ery AriasCastro 
Randy Martinez  Honors with Distinction  Zeta Function for Fermat Hypersurfaces  Claus Sorensen 
Thu Nguyen  Honors with High Distinction  Recovering the First Vertices in a Preferential Attachment Model  Ery AriasCastro 
Jeb Runnoe  Honors with High Distinction  QuasiNewton Methods for Unconstrained Optimization  Philip Gill 
Omar Vazquez  Honors with Distinction  Instrumental Variable Methods in Real Estate Data Analysis  Ery AriasCastro 
Name  Honors Level  Thesis  Advisor(s) 

Qingyuan Chen  Honors with High Distinction  A Hopf's Ratio Ergodic Theorem for Heisenberg Group  Amir Mohammadi 
Haiyu Huang  Honors with High Distinction  Paradoxical Decomposition and Amenability  Adrian Ioana 
Xingfan Jia  Honors with High Distinction  Shallow Neural Networks, Gradient Descent, and Overparameterization  Ery AriasCastro 
Nathan Liitstschwager  Honors with Distinction  Determining Causal Effects on SmallCluster Data  Ronghui "Lily" Xu 
Longde Wang  Honors with High Distinction  The Application of Symmetric Tensor Decomposition to Parameter Estimation of Latent Variable Models  Jiawang Nie 
Clara Woods  Honors with High Distinction  Evaluating IBM’s Quantum Compiler and Quantum Computer Architectures As They Pertain to Quantum Walk Simulation Algorithms  David Meyer 
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  SingularValue Decomposition and Its Applications  Thang Huynh 
Xinyi Luo  Honors with Highest Distinction  AntiCycling Methods for Linear Programming  Philip Gill 
Zhao Lyu  Honors with High Distinction  Simplicial Mesh Refinement in Computational Geometry  Martin Licht 
Karina MenesesCime  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 
Name  Honors Level  Thesis  Advisor(s) 

He Jiang  Honors with Distinction  A Comparison of Permutation and Bootstrap Tests  Ery AriasCastro 
Sohyeon Park  Honors with High Distinction  Optimal Worm Shapes in a Caustic Environment  LiTien 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 
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 
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 TimeFrequency 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 
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 
Name  Honors Level  Thesis  Advisor(s) 

Camille Briat  Honors with Distinction  RandomtoRandom 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 
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 WaveletBased Approach to Template Matching Under Scaling and Translation  David Meyer 
Anila Yadavalli  Honors with Distinction  Quadrant marked mesh patterns in words  Jeffrey Remmel 
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 ReedMuller Decoding Algorithm in Quantum Computing  David Meyer 
Bryce Terwilliger  Honors with Distinction  The Asymptotic Efficiency of the BellDoksum Procedure Relative to the Ttest  Ian Abramson 
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 MilesLeighton  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 
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 CrossSpectral Methods  Ery AriasCastro 
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 ElectronRadiation Interactions  Michael Holst 
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 nonproportional hazards  Ronghui Xu 
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 
Name  Honors Level  Thesis  Advisor(s) 

Joey Hammer  Honors with Distinction  Decomposing Hackenbush  Leonard Haff 
Joshua A. Hernandez  Honors with Distinction  NonCommutative 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 Nonexistence of Odd Perfect Numbers  Ronald Evans 
Christopher Severs  Honors with High Distinction  Distance 2 Permutation Statistics and Symmetric Functions  Jeffrey Remmel 