Previous Algebra Research Ph.D.s - UC Berkeley Department of Mathematics

Alexander James Diesl (Lam) Classes of Strongly Clean Rings
Thomas J. Dorsey (Bergman) Cleanness and Strong Cleanness of Rings of Matrices
Alexander S. Dugas (Lam) Stable Equivalences of Finite Dimensional Algebras: Relative Homology and Lifting Problems
Nicholas Eriksson (Sturmfels) Algebraic Combinatorics for Computational Biology
Ron A. Fertig (Ribet) Almost Rational Torsion Points on Abelian Varieties
Walter Kim (Coleman) Ramification Points on the Eigencurve and the Two Variable Symmetric Square p-adic L-function
Zachary Mesyan (Bergman) On Endomorphism Rings of Infinite Direct Sums of Modules
Pace Peterson Nielsen (Lam) The Exchange Property for Modules and Rings
Jiawang Nie (Demmel and Sturmfels) Global Optimization of Polynomial Functions and Applications
Shahed Sharif (Poonen) Construction of Curves with Prescribed Period and Index

2005

Gautam Borooah (Lam) Clean Conditions and Incidence Rings
Patrick Corn (Poonen) Del Pezzo Surfaces and the Brauer-Manin Obstruction
Dragos Ghioca (Poonen and Scanlon) The Arithmetic of Drinfeld Modules
Chris Hillar (Sturmfels) Solving Polynomial Systems with Special Structure
Bonnie Huggins (Poonen) Fields of Moduli and Fields of Definition of Curves
Aaron Levin (Vojta) Generalizations of Siegel's and Picard's theorems
Chu-Wee Lim (Ribet) Decomposition of Spaces of Cusp Forms over Q, and Variants of Partial Nim
Nghi Nguyen (Poonen) Whitney Theorems and Lefschetz Pencils over Finite Fields
Mark Rinker (Stallings) Height Functions, Maps to the Integers, and the Whitehead Graph of a Finite Presentation
Daniel Schepler (Ogus) Logarithmic Nonabelian Hodge Theory in Characteristic p
David Speyer (Sturmfels) Tropical Geometry
Seth Sullivant (Sturmfels) Toric Ideals in Algebraic Statistics
Ronald van Luijk (Lenstra) Rational points on K3 surfaces
Oscar Villareal (Poonen) Countable Unions of Subvarieties of Semiabelian Varieties
John Voight (Lenstra) Quadratic forms and quaternion algebras: algorithms and arithmetic
Alexander Woo (Haiman) Ideals of the Polynomial Ring Generated by Irreducible Symmetric Group Representations and Ellingsrud-Stromme Cells on the Hilbert Scheme

2004

Samit Dasgupta (Ribet) Gross-Stark Units, Stark-Heegner Points, and Class Fields of Real Quadratic Fields
Daniel Giaimo (Eisenbud) On the Castelnuovo-Mumford Regularity of Curves and Reduced Schemes
Gizem Karaali (Reshetikhin and Serganova) r-Matrices on Lie Superalgebras
George Kirkup (Eisenbud) Random Variables with Completely Independent Subcollections
Peter Pribik (Frenkel) Integrable Soliton Hierarchies for so(2n) via Intertwining Operators
Nicholas Proudfoot (Knutson, now at UCSD) Hyperkähler Analogues of Kähler Quotients
Kevin Purbhoo (Knutson, now at UCSD) Vanishing and Non-Vanishing Criteria for Branching Schubert Calculus
Nirit Sandman (Vojta) Tamari Lattices and a Geometric Problem in Antitrust
Sankaran Viswanath (Borcherds) Stabilization of Tensor Products in Kac-Moody Algebras

2003

Donald Barkauskas (Stallings) Centralizers in Fundamental Groups of Graphs of Groups
Alexander Barnard (Borcherds) The Singular Theta Correspondence, Lorentzian Lattices and Borcherds-Kac-Moody Algebras
Ruchira Datta (Sturmfels) Algebraic Methods in Game Theory
Mark Davis (Lam) Split Extensions and Generalizations of Injectivity
Mike Develin (Sturmfels) Topics in Discrete Geometry
Elena Drozd (Hartshorne) Curves on a Nonsingular Quadric Hypersurface in P4: Existence and Liaison Theory
Kirsten Eisenträger (Poonen) Hilbert's Tenth Problem and Arithmetic Geometry
Jesse Elliott (Lenstra) Witt-Burnside Rings
Megumi Harada (Knutson, now at UCSD) The Sympletic Geometry of the Gel'fand-Cetlin-Molev Basis for Representation of Sp(2n,C)
David Helm (Ribet) Jacobians of Shimura Curves and Jacquet-Langlands Correspondences
Amit Khetan (Sturmfels) Formulas for Resultants
Nina Nemyrovska (Serganova) On Atypical Representations of Classical Lie Superalgebras of Defect One
Sinan Unver (Vojta) Ramification on Arithmetic Surfaces and p-adic Multi-zeta Values

2002

Scott Annin (Lam) Associated and Attached Primes over Noncommutative Rings
Francesco Calegari (Ribet) Ramification and Semistable Abelian Varieties.
Joseph Israel (Bergman) Amalgamation and Unimodality.
Laura Matusevich (Sturmfels) Combinatorial aspects of Hypergeometric Functions.
Matthew Szczesny (Frenkel) Twisted Vertex Operators, Algebraic Curves, and Prym Varieties.
Howard Thompson (Ogus) On Toric Log Schemes
Wayne Whitney (Lenstra) Functorial Cohen Rings

2001

John Flynn (Lenstra) Near-Exceptionality Over Finite Fields
Oliver King (Borcherds) A Mass Formula for Unimodular Lattices with No Roots
Kenneth McMurdy (Coleman) A Splitting Criterion for Galois Representations Associated to Exceptional Modular Forms
William Murray (Lam) Frobenius Algebras, Independence of Field, and Quadratic Forms
Mircea Mustata (Eisenbud) Singularities and Jet Schemes
Martin Olsson (Ogus) Log Algebraic Stacks and Moduli of Log Schemes
Noam Shomron (Serganova) Representations of Cartan-Type Lie Superalgebras
Gregory Smith (Eisenbud) Computational Methods for Studying Sheaves
David Wasserman (Bergman) Epimorphisms and Dominions in Varieties of Lattices

2000

Amod Agashe (Ribet) The Birch and Swinnerton-Dyer Formula for Modular Abelian Varieties of Analytic Rank Zero
James Borger (Lenstra) On Conductors over Discrete Valuation Rings with General Residue Fields
Emiliano Gomez (Coleman) Deformations of Pseudorepresentations
Christine Heitsch (Rhodes) Computational Complexity of Generalized Pattern Matching
Diane Maclagan (Sturmfels) Structures on Sets of Monomial Ideals
Gregory Marks (Lam) 2-Primal Rings
Ezra Miller (Sturmfels) Resolutions and Duality for Monomial Ideals
David Romano (Lenstra) Galois Groups of Strongly Eisenstein Polynomials
Lawren Smithline (Coleman) Slopes of p-adic Modular Forms
William Stein (Lenstra) Explicit Approaches to Modular Abelian Varieties
Harrison Tsai (Sturmfels) Algorithms for Algebraic Analysis