Recent PhD Graduates and Theses

2008
Benjamin Baugher (S. Zelditch)
Statistics of critical points in Kahler geometry and string theory

Sung Rak Choi (V. Shokurov)
The geography of log models and its applications

Brian Macdonald (B. Shiffman)
Statistics of non-real zeros and critical points of systems of real random polynomials in several variables

Shaui Wang (T. Ono)
On a certain triple system, elliptic curves and Gauss theory of quadratic forms

Qi Zhong (S. Zelditch)
Energies of zeros of random sections on Riemann surfaces

2007
Scott Zrebiec (B. Shiffman)
Hole Probability and Large Deviations in the Distribution of the Zeros of Gaussian Random Holomorphic Functions

2006
Ann Stewart (C. Sogge)
Existence theorems for some nonlinear hyperbolic equations on a waveguide

Hsin-Hao Su (J Boardman)
The E (1,2) Cohomolgy of the Eilenberg-Mac Lane Space Lane K(Z,3)

2005
Giuseppe Tinaglia (W Minicozzi)
Multi-valued Graphs In Embedded Constant Mean Curvature Disks

Mike Krebs (R Wentworth)
Toledo Invariants on 2-Orbifolds

Eun-Kyoung Lee (T Ono)
On Certain Cohomological Invariants of Algebraic Number Fields

2004
Brian Dean (W Minicozzi)
Some Results on Stable Compact Embedded Minimal Surfaces in 3-Manifolds

Seok-Min Lee (T Ono)
On Certain Cohomological Invariants of Quadratic Number Fields

Sirong Zhang (W Minicozzi)
Curvature Estimates for Constant Mean
Curvature Surfaces in Three Manifolds

Xiangjin Xu (C. Sogge)
Eigenfunction Estimates on Compact Manifolds with Boundary and Hörmander Multiplier Theorem

2003
Byungchul Cha (C Popescu)
Vanishing of Some Cohomology Groups and Bounds for the Shafarevich-Tate Groups of Elliptic Curves

Jason Metcalfe (C. Sogge)
Global Strichartz Estimates for Solutions of the Wave Equation Exterior to a Convex Obstacle

2002
Jung-Jo Lee (J Shalika)
Bounding Ranks of Elliptic Curves

2001
Jihun Park (V Shokurov)
Fano Fibrations Over a Discrete Valuation Ring

Ramin Takloo-Bighash (J Shalika)
The Integral of Novodvorsky and the Local p-adic Factors of the Spinor L-function of the Group 

Takeshi Torii (J Morava)
One Dimensional Formal Group Laws of Height N and N-1

Alexandru Tupan (V Kolyvagin)
Congruences for Modular Forms

Hemin Yang (j Boardman, WS Wilson)
The Hit Problem for w (4) over F₂ by Differential Operator Algebra

2000
Ivan Cheltsov (V Shokurov)
Log Models of Birationally Rigid Varieties

Joshua Neuheisel (S Zelditch)
The Asymptotic Distribution of Nodal Sets on Spheres

Diego Socolinsky (J Spruck)
A Variational Approach to Image Fusion

1999
Terutake Abe (V Shokurov)
Classification of Exceptional Surface Complements

Florin Ambro (V Shokurov)
The Adjunction Conjecture Applications

Satyan Devadoss (J Morava)
Tessellations of Moduli Spaces and the Mosaic Operad

Heuisu Ryu (V Kolyvagin)
Algorithm for Non-Triviality of Shafarevich-Tate Group Using Heegner Points for Some Family of Elliptic Curves

Guoling Tong (J Shalika)
The Shimura Integral and the Standard L-function of U(3)