# Mathematics B.S. Degree Recipients

## 2017

**Name:**Alwaise, Ethan**Advisor:**Ken Ono**Dissertation:**An Algorithm for Numerically Computing Preimages of the j-invariant

**Name:**Cheng, Yining**Advisor:**Suresh Venapally**Dissertation:**The Artin-Schreier Theorem in Galois Theory

**Name:**Kantor, Noam**Advisor:**David Zureick-Brown**Dissertation:**Rank-Favorable Bounds for Rational Points for Superelliptic Curves

**Name:**Wang, Letian**Advisor:**Ken Ono**Dissertation:**A Study of Benford's Law for the Values of Arithmetic Functions

**Name:**Wilson, Andrew**Advisor:**Ken Ono**Dissertation:**Primality Testing and Integer Factorization Using Elliptic Curves

**Name:**Wu, Hanyong**Advisor:**James Nagy**Dissertation:**Generalized Cross Validation for Ill-Posted Inverse Problems

## 2016

**Name:**Baker, William**Advisor:**David Zureick-Brown**Dissertation:**Log-Canonical Rings of Graph Curves

**Name:**Lin, Claire Yilin**Advisor:**Lars Ruthotto**Dissertation:**Line-to-Point Registration with Applications in Geometric Reconstruction of Coronary Stents

**Name:**Lin, Lu**Advisor:**James Nagy**Dissertation:**Nonnegative and Volume Constrained Image Deblurring

**Name:**Meng, Chang**Advisor:**James Nagy**Dissertation:**SVD Approximations of Large Scale Inverse Problems

**Name:**Raju, Siddharth Shankar**Advisor:**James Nagy**Dissertation:**Determination of Order in Desmosomes and Resolution of Mechanisms of Pemphigus Vulgaris

**Name:**Sheng, Yang**Advisor:**Ken Ono**Dissertation:**The Cohen-Lenstra Heuristics and Soundararajan's thesis

## 2015

**Name:**Bidleman , Dalton**Advisor:**David Zureick-Brown**Dissertation:**Riemann--Roch for Toric Rank Functions

**Name:**Han, Tian Li**Advisor:**Alessandro Veneziani**Dissertation:**Automatic Strut Detection of Bioresorbable Stent from Optical Coherence Tomography Images

**Name:**Xia, Hanqiu**Advisor:**James Nagy**Dissertation:**Pricing Multi-asset Path-dependent Options Through Monte Carlo Simulations

**Name:**Zhao, Mengqi**Advisor:**Ken Ono**Dissertation:**A study of Benford's Law

## 2014

**Name:**Adler, Noah**Advisor:**Eugene Agichtein**Dissertation:**Assessing Motor Function in Parkinson's Disease using a Web-based, Computerized and User-friendly Tool

**Name:**Buckley, Shannon**Advisor:**Alessandro Veneziani**Dissertation:**Image recognition of Coronary Stents for Automatic Construction of Patient Specific Models

**Name:**Byun, Hyo Yul**Advisor:**James Lu, Helen Mayberg-Emory School of Medicine**Dissertation:**Support Vector Machine Classification of Resting State fMRI Datasets Using Dynamic Network Clusters

**Name:**He, Junying**Advisor:**David Borthwick**Dissertation:**A Numerical Study on a Eigenvalue Conjecture

**Name:**Pitman, Sarah**Advisor:**Ken Ono**Dissertation:**3F2-hypergeometric Functions and Supersingular Elliptic Curves

**Name:**Shannon, Amy**Advisor:**Valerie Summet**Dissertation:**Live-Coding in Introductory Computer Science Education

## 2013

**Name:**Cheng, Chen**Advisor:**James Nagy**Dissertation:**Gradient Descent Methods for Large-Scale Linear Inverse Problems

**Name:**Guo, Jiaqi**Advisor:**Ken Ono**Dissertation:**An Exposition of the Functional Equation for the Riemann Zeta Function and its Values at Integers

**Name:**Mi, Lan**Advisor:**Alessandro Veneziani**Dissertation:**Option Pricing: Lévy Process

**Name:**Wang, Yifan**Advisor:**Alessandro Veneziani**Dissertation:**A Computational Analysis of the Black-Scholes Equation

**Name:**Wu, Xinhui**Advisor:**David Borthwick**Dissertation:**Convergence of Circle Packings in Euclidean Plane

## 2012

**Name:**Chen, Chen**Advisor:**Skip Garibaldi**Dissertation:**Option pricing models: Black-Scholes or hyperbolic Levy process?

**Name:**Connor, Dylan**Advisor:**Alessandro Veneziani**Dissertation:**Numerical Approximation of the Black-Scholes Equation: A Practical Experience

## 2011

**Name:**Chu, Michelle**Advisor:**Aaron Abrams**Dissertation:**3-dimensional hyperbolic manifolds as discretized configuration spaces of simple graphs

**Name:**Keller, Joshua**Advisor:**Alessandro Veneziani**Dissertation:**The Spread of Rabies in Raccoons: Numerical Simulations of a Spatial Diffusion Model

**Name:**Nance, James**Advisor:**Jim Nagy**Dissertation:**Spatial Optimization of 4-Poster Feeders for Tick-Borne Disease Management

**Name:**Orner, Daniel**Advisor:**Shanshuang Yang**Dissertation:**Characteristic Properties of Mobius Transformations and Quasiconformal Mappings

## 2010

**Name:**Andreae, Phillip**Advisor:**Aaron Abrams**Dissertation:**Relationships between areas in a triangulation of a square

**Name:**Blum, Ruth**Advisor:**Alessandro Veneziani**Dissertation:**Numerical Simulations of Aortic Blood Flow with a Bicuspid Aortic Valve

**Name:**Herring, James**Advisor:**Jim Nagy**Dissertation:**The Effects of Projection on Iterative Methods in Image Deblurring

**Name:**Lykken, Sara**Advisor:**Emily Hamilton**Dissertation:**Harmonics Echoing Across Time and Space: A Summary of Research on the Topology of the Universe

**Name:**McKibben-Sanders, Jeremy**Advisor:**Dwight Duffus**Dissertation:**Some Quotients of the Boolean Lattice are Symmetric Chain Orders

**Name:**Oh, Richard**Advisor:**Skip Garibaldi**Dissertation:**Cryptanalysis of small-valued secret exponents in RSA cryptosystems

## 2009

**Name:**Geerlings, Jacob**Advisor:**David Borthwick**Dissertation:**Limit Sets of Kleinian Groups

## 2007

**Name:**Ballas, Samuel**Advisor:**David Borthwick**Dissertation:**Geometrically Finite Fuchsian Groups and the Patterson-Sullivan Measure

**Name:**Dennen, Tristan**Advisor:**David Borthwick**Dissertation:**Unitary Symmetries in Particle Physics, a First Encounter

**Name:**Ensign, Jacob**Advisor:**Victoria Powers**Dissertation:**Vote Buying in Multi-Dimensional Preference Space

**Name:**Rainwater, Sabrina**Advisor:**Shanshuang Yang**Dissertation:**Some Properties of Quasicircles and Symmetric Quasicircles

**Name:**Stein, Solomon**Advisor:**Eric Brussel**Dissertation:**Generic Polynomials and Cyclic Galois Groups

## 2006

**Name:**Goldstein, Melissa**Advisor:**Eldad Haber**Dissertation:**Direct Optimization Methods for Image Registration

## 2004

**Name:**Chung, Julianne**Advisor:**Jim Nagy**Dissertation:**Filtering Methods for Image Restoration

**Name:**Michael Carr**Advisor:**Skip Garibaldi**Dissertation:**Dissertation: Realizing Outer Automorphisms of Tits Aystems

## 2003

**Name:**Friesenhahn, Vernon**Advisor:**David Borthwick**Dissertation:**Minimal Surfaces and Plateau's Problem

**Name:**Horn, Larissa**Advisor:**Eric Brussel**Dissertation:**Symmetry of the Spheres

**Name:**Lindsay Stovall**Advisor:**Shanshuang Yang**Dissertation:**Quasisymmetric Homeomorphisms on Compact One-dimensional Manifolds

## 1998

**Name:**Marzilli, Alisa**Advisor:**Victoria Powers**Dissertation:**An Implementation of an Algorithm for Sums of Squares of Real Polynomials

## 1994

**Name:**Nagle, Brendan**Advisor:**Steven Batterson**Dissertation:**A Study of Eigenvalues and Unitary Similarity

## 1992

**Name:**Gayer, Ted**Advisor:**William Mahavier**Dissertation:**Mappings on the Cantor Set and the Interval [A,B]

**Name:**Ochs, Marc**Advisor:**Ronald Gould**Dissertation:**An Introduction to Graph Ramsey Theory

**Name:**Tohamy, Noha**Advisor:**William Mahavier**Dissertation:**Continuity of Pointwise Limits of Continuous Functions

## 1991

**Name:**Fang, Chi-Yu**Advisor:**Victoria Powers**Dissertation:**Error-Correcting Codes and the Compact Disc System

## 1989

**Name:**Leung, Raymond**Advisor:**Ronald Gould**Dissertation:**Study of Graph Coloring Algorithms

## 1986

**Name:**Housworth, Elizabeth**Advisor:**Steven Batterson**Dissertation:**Periods of Continuous and Discontinuous One Dimensional Maps

**Name:**Loeb, Alexandra**Advisor:**Ronald Gould**Dissertation:**Greedy Algorithms

**Name:**Lorberbaum, Jeffrey Philip**Advisor:**David Ford**Dissertation:**The Prisoner's Dilemma and the Evolution of Cooperation

## 1985

**Name:**Beasley, Brian**Advisor:**Dwight Duffus**Dissertation:**Arithmetic Properties of Algebraic Integers

**Name:**Roseman, Joyce**Advisor:**William Mahavier**Dissertation:**A New Class of Cantor Sets

**Name:**Sudit, Nili**Advisor:**Robert Roth**Dissertation:**Good Operation Tables for Finite Fields

## 1983

**Name:**England, Terri**Advisor:**Dwight Duffus**Dissertation:**Groups and Graphs: A Study of Relations

**Name:**Furman, Mark**Advisor:**Dwight Duffus**Dissertation:**The Development and Applications of the Sylow Theorems

**Name:**Ishii, Carol**Advisor:**David Ford**Dissertation:**A Comparative Study of Garbage Collection and Compaction Algorithms

**Name:**Priest, Cynthia Jean**Advisor:**Larry Riddle**Dissertation:**The Safety and Accuracy of Amniocentesis: A Computer Study

## 1982

**Name:**Weber, Carolyn**Advisor:**Ronald Gould**Dissertation:**Lossless Joins in Relational Data Bases

## 1981

**Name:**Lyew, Raymond**Advisor:**John Doyle**Dissertation:**An Investigation of Z^n_2 as Base Groups of Graphical Frobenius Representations

## 1980

**Name:**Outlaw, Linda**Advisor:**David Ford**Dissertation:**Quadratic Programming: A Comparison of Two Methods

**Name:**Taylor, Lee Ann**Advisor:**Mary Neff**Dissertation:**Conditions for a Subsemigroup of a Free Semigroup to be Free

## 1979

**Name:**Akao, James**Advisor:**Steven Batterson**Dissertation:**The Dynamics of Rayleigh Quotient Iteration on 2x2 Matrices

**Name:**Bang, Bing**Advisor:**David Ford**Dissertation:**An Application in Mathematical Curve Fitting

**Name:**Buss, Samuel**Advisor:**Trevor Evans**Dissertation:**The Word Problem for Groups

## 1977

**Name:**Bales, Laurence**Advisor:**John Neuberger**Dissertation:**Solutions for Some Ordinary Differential Equations

**Name:**Boisvert, Robert**Advisor:**Henry Sharp**Dissertation:**Certain Relationships between Product Spaces and Their Individual Factors

## 1975

**Name:**Malaspina, Spiros**Advisor:**Henry Sharp**Dissertation:**Urysohn's Metrization Theorem

**Name:**May, Rebecca**Advisor:**William Mahavier**Dissertation:**Characteristics of Complexes

**Name:**Miller, Susan**Advisor:**Joe Austin**Dissertation:**Straightedge and Compass Constructions in Non-Euclidean Geometry

**Name:**Smethers, Pamela Lynn**Advisor:**Mary Neff**Dissertation:**Free Groups and Free Semigroups

**Name:**Tuttle, Keith**Advisor:**Mary Neff**Dissertation:**Computer Oriented Approach to Finding all Non-Isomorphic Posets on Finite Sets Containing Four, Five, and Six Elements

## 1974

**Name:**Shepard, Craig**Advisor:**Henry Sharp**Dissertation:**Topological Surfaces as Configuration Spaces of Mechanical Systems

**Name:**Vogel, Sharon Beth**Advisor:**Henry Sharp**Dissertation:**Extensions of Banach's Fixed Point Theorem