Recent Ph.D.'s in Number Theory at the University of Michigan The following is a list of the Ph.D. degrees awarded since 2000 (in decreasing order), including the dissertation title, the thesis advisor, and the first place of employment. 2009 Jonathan Bober Integer ratios of factorials, hypergeometric series, and related step functions (Lagarias) Institute for Advanced Study Ellen Eischen p-adic differential operators on automorphic forms and applications (Ramsey/Skinner) Northwestern University Leo Goldmakher Multiplicative mimicry and improvements of the Polya-Vinogradov theorem (Lagarias/Soundararajan) University of Toronto Hester Graves On Euclidean ideal classes (Ramsey) Queen's University Wansu Kim Galois deformation theory for norm fields and its arithmetic applications (Conrad/DeBacker) Imperial College 2008 Craig Spencer Analytic methods for Diophantine problems (Wooley) Institute for Advanced Study 2007 Mahesh Agarwal p-Adic L-functions for GSp(4) x GL(2) (Skinner) McMaster University Bryden Cais Compatabilities, correspondences, and integral structure in p-adic cohomology (Conrad) McGill University Rizwanur Khan Non-vanishing of the symmetric square L-function (Soundararajan) UCLA Matthew Smith On solution-free sets for simultaneous additive equations (Wooley) University of Georgia 2006 Trevor Arnold Anticyclotomic Iwasawa Theory for Modular Forms (Skinner) University of Washington Krzysztof Klosin Congruences among automorphic forms on the unitary group U(2,2) (Skinner) University of Utah 2005 Peng Gao n-level densities of zeros of quadratic Dirichlet L-functions (Soundararajan/Montgomery) AIM/Montreal Sreekar Shastry J_1(n) has connected fibers (Conrad) Tata Institute (Bombay) 2004 Tobias Berger Eisenstein ideal for imaginary quadratic fields (Skinner) Cambridge University Jim Brown Sato-Kurokawa lifts and L-values (Skinner) Ohio State University Tong Liu Potentially good greenuction of Barsotti-Tate groups (Conrad) University of Pennsylvania 2003 Mihran Papikian Optimal elliptic curves and degree conjecture over function fields (Conrad) Stanford University 2002 Tsz Ho Chan Pair correlation and distribution of prime numbers (Montgomery) Case Western Reserve University 2000 Michael Knapp Forms in many variables over p-adic fields (Wooley) University of Rochester