All Research Areas

Select a Research Area: Algebra Algebraic Geometry Bioinformatics Combinatorics Complex Variables Differential Equations Functional Analysis / Operator Theory Geometric Analysis Geometry and Topology Logic and Computational Complexity Mathematical Physics Mathematics Education Number Theory Numerical Analysis Numerical PDE / Scientific Computation Probability Theory Statistics Emeriti

 

Algebra

	Daniel Rogalski Associate Professor	Algebra, Noncommutative Geometry, Noncommutative Ring Theory Ph.D. Mathematics, University of Michigan NSF Research Grant
	Alireza Salehi Golsefidy Assistant Professor	Algebra, Combinatorics, Number Theory, Homogeneous dynamical systems, Arithmetic lattices Ph.D. Mathematics, Yale University National Science Foundation Award Clay Mathematical Institute Liftoff Award
	Hans Wenzl Professor	Algebra, Operator Algebras Ph.D. Mathematics, University of Pennsylvania NSF Grant Alfred P. Sloan Research Fellowship
	Efim Zelmanov Professor	Algebra, Jordan Algebras, Infinite Discrete Groups, Profinite Groups Ph.D. Mathematics, Novosibirsk University Foreign Member of the Korean Academy of Science Andre Aizenstadt Prize Member of the National Academy of Sciences Foreign Member of the Royal Academy of Spain Fellow of the American Academy of Arts and Sciences Fields Medal College de France Medal

 

Algebraic Geometry

	Mark Gross Professor	Algebraic Geometry, Differential Geometry Ph.D. Mathematics, University of California, Berkeley
	Dragos Oprea Associate Professor	Algebraic Geometry, Mathematical Physics, Moduli Spaces, Gromov-Witten Invariants, Donaldson-type Invariants Ph.D. Mathematics, Massachusetts Institute of Technology

 

Bioinformatics

Glenn Tesler Associate Professor

Bioinformatics, Combinatorics Ph.D. Mathematics, Massachusetts Institute of Technology Alfred P. Sloan Research Fellowship Hellman Fellowship

 

Combinatorics

	Adriano Garsia Professor	Combinatorics, Combinatorial Algebra, Representation Theory, Theoretical Computer Science, Real Analysis, Fourier Analysis, Ergodic Theory Ph.D. Mathematics, Stanford University
	Fan Chung Graham Professor Professor of Computer Science & Engineering	Combinatorics, Spectral Graph Theory, Extremal Graph Theory Ph.D. Mathematics, University of Pennsylvania Paul Erdos Chair of Combinatorics NSF Award Fellow of the American Academy of Arts and Sciences Allendoerfer Award of Mathematical Association of America
	Jeffrey Remmel Professor Associate Dean, Physical Sciences	Combinatorics, Enumerative and Algebraic Combinatorics, Mathematical Logic, Computer Science, Hybrid Control Ph.D. Mathematics, Cornell University
	Brendon Rhoades Assistant Professor	Combinatorics Ph.D. Mathematics, University of Minnesota NSF grant DMS-1068861 NSF Mathematical Sciences Postdoctoral Research Fellowship Graduate Student Fellowship
	Laura Stevens Lecturer	Combinatorics Ph.D. Mathematics, University of North Carolina at Chapel Hill GAANN Fellowship
	Jacques Verstraete Associate Professor	Combinatorics, Graph Theory Ph.D. Mathematics, Cambridge University Program Director of the SIAM Discrete Mathematics Group Prize for Solution to Erdos Problem

 

Complex Variables

	Peter Ebenfelt Professor Department Chair	Complex Variables, Complex Geometry, Partial Differential Equations Ph.D. Mathematics, Royal Institute of Technology, Stockholm 5-year Research Fellowship, Royal Swedish Academy of Sciences Wallenberg Prize President's Honors Award, Royal Institute of Technology
	John Eggers Lecturer	Complex Variables, Partial Differential Equations Ph.D. Mathematics, University of California, San Diego UCSD Revelle College Outstanding Faculty Award UCSD Academic Distinguished Teaching Award

 

Differential Equations

	Ioan Bejenaru Associate Professor	Differential Equations, Harmonic Analysis Ph.D. Mathematics, University of California, Berkeley Robert Sorgenfrey Distinguished Teaching Award, UCLA NSF grant award DMS-0738442 NSF grant award DMS-1001676
	Jacob Sterbenz Associate Professor	Differential Equations, Non-linear Wave Equations, Tensor-Geometric Analysis, Harmonic Analysis Ph.D. Mathematics, University of Maryland

 

Functional Analysis / Operator Theory

	Jim Agler Professor	Functional Analysis / Operator Theory Ph.D. Mathematics, University of Indiana
	Adam Bowers Lecturer	Functional Analysis / Operator Theory, Probability, Theory of Lie Algebra Ph.D. Mathematics, University of Connecticut University of Connecticut Doctoral Dissertation Fellowship
	Bill Helton Professor	Functional Analysis / Operator Theory, Hilbert Space Operators, Optimization: Linear Matrix Inequalities, Convex Algebraic Geometry, Non-Commutative Computer Algebra (NCALgebra), Aspects of intersecting control engineering Ph.D. Mathematics, Stanford University IEEE Fellow Guggenheim Fellowship
	Adrian Ioana Assistant Professor	Functional Analysis / Operator Theory, Ergodic Theory Orbit Equivalence, Representation Theory of Groups, von Neumann Algebras Ph.D. Mathematics, University of California, Los Angeles Clay Research Fellowship

 

Geometric Analysis

	Ben Chow Professor	Geometric Analysis, Differential Geometry, Geometric Evolution Ph.D. Mathematics, Princeton University NSF, FGR with L. Ni & G. Tian, 2004-2007 NSF, Individual, 1996-2008 (no-cost extension until 2010) NSF Postdoctoral Fellowship, 1988-1992
	Lei Ni Professor	Geometric Analysis, Differential Geometry and Partial Differential Equations, Complex Geometry and Analysis, Riemannian Geometry Ph.D. Mathematics, University of California, Irvine Alfred P. Sloan Research Fellowship
	Ben Weinkove Professor	Geometric Analysis, Complex Geometry, Partial Differential Equations on Manifolds Ph.D. Mathematics, Columbia University Sloan Foundation Fellowship

 

Geometry and Topology

	Jim Lin Professor	Geometry and Topology Ph.D. Mathematics, Princeton University Alfred P. Sloan Research Fellowship Chancellor's Award for Teaching All People's Recognition Award
	Justin Roberts Associate Professor	Geometry and Topology, Low Dimensional Topology, Topological Quantum Field Theory Ph.D. Mathematics, Cambridge University Recipient of a 5-year Advanced Fellowship, EPSRC, at Edinburgh, Scotland

 

Logic and Computational Complexity

Samuel Buss Professor

Logic and Computational Complexity, Computational Complexity, Computer Graphics Ph.D. Mathematics, Princeton University

 

Mathematical Physics

	David Meyer Professor	Mathematical Physics, Quantum Computation Ph.D. Mathematics, Massachusetts Institute of Technology
	Jeffrey Rabin Professor	Mathematical Physics, Supermanifolds and Supervarieties, String Theory, Mathematics Education Ph.D. Physics, Stanford University UCSD Alumni Association Distinguished Teaching Award Academic Senate Award for Distinguished Teaching

 

Mathematics Education

Guershon Harel Professor

Mathematics Education Ph.D. Mathematics, Ben-Gurion University

 

Number Theory

	Alina Bucur Assistant Professor	Number Theory, Automorphic Forms, Metaplectic Forms, Kac-Moody Algebras, Coxeter Groups Ph.D. Mathematics, Brown University FRG Research Grant by NSF Hellman Fellowship
	Ronald Evans Professor Graduate Vice Chair	Number Theory, Character Sums, Finite Fields, Hecke Eigenfunctions Ph.D. Mathematics, University of Illinois
	Kiran Kedlaya Professor	Number Theory, Arithmetic Algebraic Geometry Ph.D. Mathematics, Massachusetts Institute of Technology Stefan E. Warschawski Endowed Chair Alfred P. Sloan Fellowship Presidential Early Career Award for Scientists and Engineers (PECASE)
	Cristian Popescu Professor	Number Theory, Arithmetic Algebraic Geometry, Special Values of L-functions Ph.D. Mathematics, Ohio State University 2005 Simion Stoilow Prize of the Romanian Academy of Science

 

Numerical Analysis

	Philip Gill Professor	Numerical Analysis, Numerical Optimization, Numerical Linear Algebra, Scientific Computation, Software for Optimization Ph.D. Mathematics, London University NSF SCREMS Award Northrop Grumman Space Technology Contract NSF DMS Award NASA/Goddard Space Flight Center Grant
	Melvin Leok Associate Professor	Numerical Analysis, Computational Geometric Mechanics, Computational Geometric Control Theory, Numerical Analysis Ph.D. Control and Dynamical Systems, California Institute of Technology Leslie Fox Prize in Numerical Analysis NSF CAREER Award SciCADE New Talent Award SIAM Student Paper Prize
	Jiawang Nie Associate Professor	Numerical Analysis, Computational Optimization, Semidefinite Programming, Multivariate Polynomial Minimization Ph.D. Applied Mathematics, U.C. Berkeley Hellman Foundation Fellowship NSF CAREER Award Tucker Prize Finalist

 

Numerical PDE / Scientific Computation

	Randolph Bank Professor	Numerical PDE / Scientific Computation, Numerical Partial Differential Equations Ph.D. Mathematics, Harvard University
	Li-Tien Cheng Professor	Numerical PDE / Scientific Computation, Image Processing, Level Set Methods Ph.D. Mathematics, University of California, Los Angeles Alfred P. Sloan Research Fellowship
	Michael Holst Professor	Numerical PDE / Scientific Computation, Numerical Analysis, Applied Analysis, Mathematical Physics, Partial Differential Equations Ph.D. Numerical Analysis, University of Illinois Department of Energy Office of Science Award Hellman Foundation Fellowship NSF CAREER Award
	Bo Li Professor	Numerical PDE / Scientific Computation, Scientific Computation, Continuum Mechanics Ph.D. Mathematics, University of Minnesota

 

Probability Theory

	Bruce Driver Professor	Probability Theory, Geometry Ph.D. Mathematics, Cornell University Rollo Davidson Prize UCSD Chancellor's Summer Faculty Fellowship Alfred P. Sloan Foundation Doctoral Dissertation Fellow Cornell University Three Year Teaching Fellow Eastman Kodak Academic Scholar
	Patrick Fitzsimmons Professor	Probability Theory Ph.D. Mathematics, Case Western Reserve University
	Todd Kemp Assistant Professor	Probability Theory, Combinatorics, Functional Analysis Ph.D. Mathematics, Cornell University NSF Grant DMS-0701162 NSF Grant DMS-1001894 Hellman Foundation Fellowship
	Jason Schweinsberg Associate Professor	Probability Theory, Stochastic Processes Ph.D. Statistics, University of California, Berkeley
	Ruth Williams Professor	Probability Theory, Stochastic Processes Ph.D. Mathematics, Stanford University Member of the National Academy of Sciences Charles Lee Powell Endowed Chair President of the Institute of Mathematical Statistics, 2011-2012 Fellow of the American Academy of Arts and Sciences Fellow of the Institute for Operations Research and the Management Sciences Fellow of the Institute of Mathematical Statistics Alfred P. Sloan Research Fellowship Guggenheim Fellowship

 

Statistics

	Ian Abramson Professor Undergraduate Vice Chair	Statistics, Nonparametric Analysis, Biostatistics, Random Coefficient Models , Empirical Bayes Methods Ph.D. Statistics, University of California, Berkeley NeuroAIDS Research Grant (NIDA) HNRC Research Grant (NIH/NIMH) Regents Faculty Fellowship (UCSD) Regents Fellow (UC, Berkeley)
	Ery Arias-Castro Associate Professor	Statistics, High-dimensional Statistics, Machine Learning, Spatial Statistics, Image Processing, Applied Probability Ph.D. Statistics, Stanford University Hellman Fellowship Research supported by grants from the NSF and the ONR
	Jelena Bradic Assistant Professor	Statistics, Applied Probability, High Dimensional Statistics, Stochastic Optimization, Asymptotic Theory Ph.D. Statistics, Princeton University LAHA Award from Institute of Mathematical Statistics
	Dimitris Politis Professor	Statistics, Time Series Analysis, Bootstrap Methods, Nonparametrics Ph.D. Statistics, Stanford University Guggenheim Fellowship Fellow of the American Statistical Association Fellow of the Institute of Mathematical Statistics
	Ronghui "Lily" Xu Professor Professor of Family and Preventive Medicine	Statistics, Clinical Trials, High Dimensional Data Analysis, Random Effects Models, Survival Analysis Ph.D. Mathematics, University of California, San Diego David P. Byar Young Investigator Award

 

Emeriti

	Edward Bender Professor Emeritus	Combinatorics Ph.D. Mathematics, California Institute of Technology
	James Bunch Professor Emeritus	Numerical Analysis, Numerical Linear Algebra, Signal Processing Ph.D. Mathematics, University of California, Berkeley Woodrow Wilson Fellow Fulbright Fellow
	Thomas Enright Professor Emeritus	Representation Theory, Group Representations, Lie Algebras Ph.D. Mathematics, University of Washington Alfred P. Sloan Research Fellowship
	John Evans Professor Emeritus	Bioinformatics, Applied Mathematics Ph.D. Mathematics, University of California, Los Angeles
	Jay Fillmore Professor Emeritus	Geometry and Topology Ph.D. Mathematics, University of Minnesota
	Carl FitzGerald Professor Emeritus Teaching Visitor	Complex Variables, Complex Analysis, Differential Games Ph.D. Mathematics, Stanford University Alfred P. Sloan Research Fellowship
	Ted Frankel Professor Emeritus	Mathematical Physics, Differential Geometry Ph.D. Mathematics, University of California, Berkeley
	Michael Freedman Professor Emeritus	Geometry and Topology, Quantum Computation Ph.D. Mathematics, Princeton University Alfred P. Sloan Research Fellowship California Scientist of the Year Award Fellow of the American Academy of Arts and Sciences MacArthur Foundation Fellowship National Medal of Science Oswald Veblen Prize in Geometry
	Ronald Getoor Professor Emeritus	Probability Theory Ph.D. Mathematics, University of Michigan IMS Fellow NSF Postdoctoral Fellow
	Leonard Haff Professor Emeritus Teaching Visitor	Statistics, Combinatorial Game Theory Ph.D. Statistics, Oregon State University
	Hubert Halkin Professor Emeritus	Functional Analysis / Operator Theory, Optimization Theory, Computer Science Ph.D. Mathematics, Stanford University Guggenheim Fellowship
	Alfred Manaster Professor Emeritus	Mathematics Education, Mathematical Logic Ph.D. Mathematics, Cornell University
	John O'Quigley Professor Emeritus	Statistics, Survival Analysis Ph.D. Mathematics, University of Leeds
	Yosef Rinott Professor Emeritus	Statistics, Game Theory, Statistical Modeling, Probabilistic Inequalities, Sampling Theory, Applied Statistics Ph.D. Mathematics, Weizmann Institute of Science, Israel Fellow of the Institute of Mathematical Statistics (IMS) Mr. and Mrs. Francis Hock Chair in Statistics
	Burt Rodin Professor Emeritus	Complex Variables, Riemann Surfaces, Complex Analysis Ph.D. Mathematics, University of California, Los Angeles
	Helmut Rohrl Professor Emeritus	Algebra, Nonassociative Algebra, Convexity Theories Ph.D. Mathematics, University of Munich
	Murray Rosenblatt Professor Emeritus	Statistics, Probability Ph.D. Mathematics, Cornell University Member of the National Academy of Sciences, 1984 Guggenheim Fellowship, 1964, 1972.
	Linda Rothschild Professor Emeritus	Differential Equations, Several Complex Variables Ph.D. Mathematics, Massachusetts Institute of Technology Alfred P. Sloan Research Fellowship Fellow of the American Academy of Arts and Sciences
	Michael Sharpe Professor Emeritus	Probability Theory Ph.D. Mathematics, Yale University
	Al Shenk Professor Emeritus	Differential Equations, Numerical Analysis Ph.D. Mathematics, Stanford University
	Lance Small Professor Emeritus	Algebra, Noncommutative Ring Theory Ph.D. Mathematics, University of Chicago
	Donald Smith Professor Emeritus	Probability Theory, Differential Equations, Singular Perturbation Theory, Rotating Liquid Drops Ph.D. Mathematics, Stanford University
	Harold Stark Professor Emeritus	Number Theory Ph.D. Mathematics, University of California, Berkeley Member of the National Academy of Sciences Alfred P. Sloan Research Fellowship Fellow of the American Academy of Arts and Sciences
	Audrey Terras Professor Emeritus	Number Theory, Harmonic Analysis on Symmetric Spaces Ph.D. Mathematics, Yale University Fellow of the American Association for the Advancement of Science
	Frank Thiess Professor Emeritus	Probability Theory, Quantum Field Theory, Invariant Distributions Ph.D. Mathematics, Stanford University
	Adrian Wadsworth Professor Emeritus	Algebra, Commutative Algebra Ph.D. Mathematics, University of Chicago
	Nolan Wallach Professor Emeritus	Representation Theory, Lie Groups Ph.D. Mathematics, Washington University Fellow of the American Academy of Arts and Sciences Honorary Professor (University of Cordoba, Argentina) Linback Award for Research Excellence Alfred P. Sloan Research Fellowship
	John Wavrik Professor Emeritus	Algebra, Commutative Algebra, Computation Ph.D. Mathematics, Stanford University
	Daniel Wulbert Professor Emeritus	Functional Analysis / Operator Theory, Approximation Theory, Functional Analysis, Banach Space Geometry Ph.D. Mathematics, University of Texas Knox College Scholarship-Illinois State Scholarship National Science Foundation Fellowship Fulbright Scholar