Spring 2012 Graduate Degree Recipients

MATH Ph.D.

David Aulicino - Mathematics
Thesis Title:
Progress Toward Classifying Teichmueller Disks with Completely Degenerate Kontsevich-Zorich Spectrum
Advisor:
Dr. Giovanni Forni





Xuwen Chen- Mathematics

Thesis Title:
Methods of Harmonic Analysis Applied to Bose-Einstein Condensation
Advisors:
Dr. Manoussos Grillakis & Dr. Matei Machedon




Jeffrey Frazier - Mathematics

Thesis Title:
Length Spectral Rigidity of Nonpositively Curved Surfaces
Advisor:
Dr. William Goldman





Yu-Ru Huang - Mathematics

Thesis Title:
Measure of parameters with a.c.i.m non-adjacent to the Chebyshev value in the quadratic family
Advisor:
Dr. Michael Jakobson





David Karpuk - Mathematics

Thesis Title:
Weil-étale Cohomology over Local Fields
Advisor:
Dr. Niranjan Ramachandran





Alexey Miroshnikov - Mathematics (August 2012)

Thesis Title: A Variational Approximation Scheme for Radial Polyconvex Elasticity that Preserves the Positivity of Determinants
Advisors: Dr. Konstantina Trivisa & Dr. Athanasios Tzavaras





Sean Rostami - Mathematics

Thesis Title:
Kottwitz’s nearby cycles conjecture for a class of unitary Shimura varieties
Advisor:
Dr. Thomas Haines




Rodrigo Trevino - Mathematics

Thesis Title:
Beyond Orientability and Compactness: New Results on the Dynamics of Flat Surfaces
Advisor:
Dr. Giovanni Forni

AMSC Ph.D.

Sean Barnes
Thesis: An Agent-Based Approach to Controlling Pathogenic Transmission in Medical Facilities
Advisor: Bruce Golden
Amanda Galante
Thesis: Mathematical Models of Phototaxis and Cancer Immune Interactions
Advisor: Doron Levy
Guoyuan Liu
Thesis: Modeling VIX Index and VIX Derivatives with Mean Reverting Models and Parameter Estimation Using Filter Methods
Advisor: Dilip Madan
Christopher Miller
Thesis: Fast Algorithms for the Solution of Stochastic Partial Differential Equations
Advisor: James Reggia
Alfredo Nava-Tudela
Thesis: Image Representation and Compression via Sparse Solutions of Systems of Linear Equations
Advisor: John Benedetto
Shelby Wilson
Thesis: Mathematical Models of Immune Regulation and Cancer Vaccines
Advisor: Doron Levy