Mathematics

University of California, Berkeley

Overview

The Department of Mathematics is generally recognized as one of the broadest, liveliest, and most distinguished departments of mathematics in the world. With approximately 55 regular faculty members representing most of the major fields of current research, along with 25 to 30 postdoctoral scholars, 180 graduate students, 475 undergraduate majors, one of the finest mathematics libraries in the nation, and a favorable climate in one of America's most exciting and cosmopolitan centers for mathematics research and teaching, UC Berkeley has become a favorite location for the study of mathematics by students and faculty from all over the world.

UC Berkeley is increasingly interested in developing the talents of outstanding mathematics students and has a number of challenging honors-level courses. The department encourages all major students to participate in the annual William Lowell Putnam Mathematical Competition. Additionally, the department sponsors undergraduate teams in the annual Mathematical Contest in Modeling, in which teams of three write mathematical solutions to real-life problems. An active Mathematics Undergraduate Student Association (MUSA), of which all departmental majors are automatically members, contributes to making Berkeley a stimulating and rewarding place to study mathematics. In addition, the Noetherian Ring, an organization seeking to promote and support women in mathematics at Berkeley, is open to undergraduate students.

Berkeley's mathematics education program is greatly enriched by its large number of graduate students, postdoctoral faculty and fellows, and visiting teachers in residence each year. They come from all over the world to teach courses, participate in seminars, collaborate in research, give talks at the weekly Mathematics Colloquium, and be available as consultants. An affiliated interdisciplinary group, with its own doctoral program, is the Group in Logic and the Methodology of Science. There are two NSF funded Research Training Groups: one in Representation Theory, Geometry and Combinatorics and one in Geometry, Topology and Operator Algebras. These groups run seminars, workshops, and other activities and support graduate student and postdoctoral fellows in their areas of interest. The department has several graduate student groups: the Mathematics Graduate Student Association (MGSA), comprising all graduate students; the Noetherian Ring, a group of women in mathematics; and a student lecture series, Many Cheerful Facts.

Facilities

The Mathematics Library on the first floor of Evans Hall, part of the system of University of California Libraries, provides researchers and students with access to world-class collections.

The Mathematical Sciences Research Institute (MSRI) was founded by the National Science Foundation in 1981. In a beautifully designed building on the hills above the Berkeley campus and overlooking San Francisco Bay, about 1,700 mathematicians from around the world come each year to participate in research programs in a wide variety of mathematical topics. The combined and cooperative efforts of the department, the center, and the MSRI provide a program of mathematics courses, workshops, seminars, and colloquia of remarkable variety and exciting intensity.

Undergraduate Programs

Applied Mathematics: BA
Mathematics: BA (also available with a Teaching Concentration), Minor

Graduate Programs

Applied Mathematics: PhD
Mathematics: MA, PhD

Visit Department Website

Courses

Mathematics

Faculty and Instructors

+ Indicates this faculty member is the recipient of the Distinguished Teaching Award.

Faculty

Mina Aganagic, Professor. Particle physics.
Research Profile

Ian Agol, Professor. Low-dimensional topology.

David Aldous, Professor. Mathematical probability, applied probability, analysis of algorithms, phylogenetic trees, complex networks, random networks, entropy, spatial networks.
Research Profile

Denis Auroux, Professor. Mirror symmetry, symplectic topology.
Research Profile

Richard H. Bamler, Assistant Professor.

Richard E. Borcherds, Professor. Mathematics, lie algebras, vertex algebras, automorphic forms.
Research Profile

+ F. Michael Christ, Professor. Mathematics, harmonic analysis, partial differential equations, complex analysis in several variables, spectral analysis of Schrodinger operators.
Research Profile

James W. Demmel, Professor. Computer science, scientific computing, numerical analysis, linear algebra.
Research Profile

Semyon Dyatlov, Assistant Professor. Microlocal analysis, scattering theory, quantum chaos, PDE.
Research Profile

David Eisenbud, Professor. Mathematics, algebraic geometry, commutative algebra, computation.
Research Profile

Lawrence C. Evans, Professor. Optimization theory, nonlinear partial differential equations, calculus of variations.
Research Profile

Steven N. Evans, Professor. Genetics, random matrices, superprocesses and other measure-valued processes, probability on algebraic structures -particularly local fields, applications of stochastic processes to biodemography, mathematical finance, phylogenetics and historical linguistics.
Research Profile

Edward Frenkel, Professor. Mathematics, representation theory, integrable systems, mathematical physics.
Research Profile

Alexander B. Givental, Professor. Mathematics, mathematical physics, symplectic geometry, singularities, mirror symmetry.
Research Profile

Ming Gu, Professor. Mathematics, scientific computing, numerical linear algebra, adaptive filtering, system and control theory, differential and integral equations.
Research Profile

Mark D. Haiman, Professor. Mathematics, algebraic geometry, algebra, combinatorics, diagonal coinvariants, Hilbert schemes.
Research Profile

Alan Hammond, Associate Professor. Statistical mechanics.

Jenny Harrison, Professor. Mathematics, geometric analysis.
Research Profile

Olga V. Holtz, Professor. Numerical analysis, matrix and operator theory, approximation theory, wavelets and splines, orthogonal polynomials and special functions, analysis of algorithms and computational complexity.
Research Profile

Michael Hutchings, Professor. Mathematics, low dimensional, symplectic topology, geometry.
Research Profile

Michael J. Klass, Professor. Statistics, mathematics, probability theory, combinatorics independent random variables, iterated logarithm, tail probabilities, functions of sums.
Research Profile

Lin Lin, Assistant Professor. Numerical analysis, computational quantum chemistry, computational materials science.

John W. Lott, Professor. Differential geometry.

Antonio Montalban, Associate Professor. Mathematical logic.
Research Profile

David Nadler, Professor. Geometric representation.

Martin Olsson, Professor. Algebraic geometry, arithmetic geometry.
Research Profile

Per-Olof Persson, Associate Professor. Applied mathematics, numerical methods, computational fluid and solid mechanics.
Research Profile

James W. Pitman, Professor. Fragmentation, statistics, mathematics, Brownian motion, distribution theory, path transformations, stochastic processes, local time, excursions, random trees, random partitions, processes of coalescence.
Research Profile

Nicolai Reshetikhin, Professor. Mathematics, representation theory, mathematical physics, low-dimensional topology.
Research Profile

Fraydoun Rezakhanlou, Professor. Mathematics, probability theory, partial differential equations.
Research Profile

Kenneth A. Ribet, Professor. Mathematics, algebraic geometry, algebraic number theory.
Research Profile

Marc Rieffel, Professor. Mathematics, operator algebras, non-commutative geometry, non-commutative harmonic analysis, quantum geometry.
Research Profile

Thomas Scanlon, Professor. Mathematics, model theory, applications to number theory.
Research Profile

Vera Serganova, Professor. Mathematics, Super-representation theory.
Research Profile

James A. Sethian, Professor. Mathematics, applied mathematics, partial differential equations, computational physics, level set Methods, computational fluid mechanics and materials sciences. fast marching methods.
Research Profile

Chris Shannon, Professor. Economics, mathematical economics, economic theory.
Research Profile

Vivek V. Shende, Assistant Professor. Geometry.

Sug Woo Shin, Associate Professor. Number theory, automorphic forms.

Pierre Simon, Assistant Professor. Mathematical Logic, Model theory.
Research Profile

Theodore A. Slaman, Professor. Mathematics, recursion theory.
Research Profile

Nikhil Srivastava, Assistant Professor. Theoretical computer science, random matrices, geometry of polynomials.

Zvezdelina Stankova, Teaching Professor. Algebraic geometry, representation theory, combinatorics, Olympiad problem solving, Berkeley Math Circle.
Research Profile

John Strain, Professor. Mathematics, numerical analysis, applied mathematics, fast algorithms, materials science.
Research Profile

Bernd Sturmfels, Professor. Mathematics, combinatorics, computational algebraic geometry.
Research Profile

Song Sun, Associate Professor. Differential Geometry.
Research Profile

Daniel Ioan Tataru, Professor. Mathematics, partial differential equations, nonlinear waves.
Research Profile

Constantin Teleman, Professor. Lie algebras, algebraic geometry, Lie groups, topology, topological quantum field theory.
Research Profile

Luca Trevisan, Professor. Computational complexity, spectral graph theory.

Dan Voiculescu, Professor. Random matrices, pperator algebras, free probability theory.
Research Profile

Paul A. Vojta, Professor. Mathematics, algebraic geometry, diophantine geometry, Nevanlinna theory, Arakelov theory.
Research Profile

Katrin Wehrheim, Associate Professor. Low-dimensional and symplectic topology.

Jon Wilkening, Professor. Applied mathematics, numerical analysis, computational solid and fluid mechanics.
Research Profile

Lauren K. Williams, Professor. Algebraic combinatorics.
Research Profile

Mariusz Wodzicki, Professor. Analysis, mathematics, Non-commutative and algebraic geometry, K-theory.
Research Profile

Xinyi Yuan, Assistant Professor. Number theory.
Research Profile

Maciej Zworski, Professor. Mathematics, partial differential equations, mathematical physics, mathematical aspects of quantum mechanics, scattering theory, microlocal analysis.
Research Profile

Lecturers

Emiliano Gomez, Lecturer.

Alexander Paulin, Lecturer.

Kelli Talaska, Lecturer.

Visiting Faculty

Carolyn Abbott, Visiting Assistant Professor.

Semeon Artamonov, Visiting Assistant Professor.

Daniel Bragg, RTG Postdoc.

James Conway, Visiting Assistant Professor.

David Corwin, RTG Postdoc.

Wilfrid Gangbo, Chancellor's Professor.

Charles Hadfield, Visiting Assistant Professor.

Marina Iliopoulou, Visiting Assistant Professor.

Casey Jao, NSF Postdoc.

Tim Laux, Visiting Assistant Professor.

Koji Shimizu, Visiting Assistant Professor.

Slobodan Simic, Visiting Professor.

Dmitry Tonkonog, Visiting Assistant Professor.

Dimitry Vaintrob, Visiting Assistant Professor.

Xuwen Zhu, Visiting Assistant Professor.

Emeritus Faculty

John W. Addison, Professor Emeritus. Mathematics, theory of definability, descriptive set theory, model theory, recursive function theory.
Research Profile

Robert Anderson, Professor Emeritus. Finance, probability theory, mathematical economics, nonstandard analysis.
Research Profile

Grigory I. Barenblatt, Professor Emeritus. Applied mathematics, Solid mechanics, Fluid mechanics, similarity methods asymptotics, mechanics of deformable solids.
Research Profile

George Bergman, Professor Emeritus. Mathematics, associative rings, universal algebra, category theory, counterexamples.
Research Profile

Elwyn R. Berlekamp, Professor Emeritus. Computer science, electrical engineering, mathematics, combinatorial game theory, algebraic coding theory.
Research Profile

Robert Bryant, Professor Emeritus. Symplectic geometry, differential geometry, Lie groups, geometric partial differential equations.
Research Profile

Alexandre J. Chorin, Professor Emeritus. Applied mathematics, numerical methods, hydrodynamics, sampling and Monte Carlo methods.
Research Profile

Paul Concus, Professor Emeritus. Fluid mechanics, numerical analysis, applied mathematics, capillarity.
Research Profile

Heinz O. Cordes, Professor Emeritus. Mathematics, classical analysis.
Research Profile

F. Alberto Grunbaum, Professor Emeritus. Medical imaging, x-ray crystallography, imaging of structures of biological interest, classical and quantum random walks, matrix valued orthogonal polynomials, quasi birth-and-death processes.
Research Profile

+ Ole H. Hald, Professor Emeritus. Mathematics, numerical analysis.
Research Profile

Leo A. Harrington, Professor Emeritus. Mathematics, model theory, recursion theory, set theory.
Research Profile

Robert C. Hartshorne, Professor Emeritus. Mathematics, algebraic geometry.
Research Profile

Morris W. Hirsch, Professor Emeritus. Game theory, dynamical systems, topology, biological models.
Research Profile

Wu-Yi Hsiang, Professor Emeritus. Mathematics, transformation groups, differential geometry.
Research Profile

Vaughan F. R. Jones, Professor Emeritus. Mathematics, Von Neumann algebras.
Research Profile

William M. Kahan, Professor Emeritus. Error analysis, Numerical computations, Computers, Convexity, Large matrices, Trajectory problems.
Research Profile

Robion C. Kirby, Professor Emeritus. Mathematics, topology of manifolds.
Research Profile

Tsit-Yuen Lam, Professor Emeritus.

R. Sherman Lehman, Professor Emeritus.

H. W. Lenstra, Professor Emeritus.

Ralph N. McKenzie, Professor Emeritus. Mathematics, logic, universal algebra, general algebra, lattice theory.
Research Profile

Keith Miller, Professor Emeritus. Mathematics, partial differential equations, numerical methods for PDE's.
Research Profile

Calvin C. Moore, Professor Emeritus. Operator algebras, ergodic theory, representations and actions of topological groups, foliations and foliated spaces, K- theory.
Research Profile

John Neu, Professor Emeritus.

Andrew Ogg, Professor Emeritus.

Arthur E. Ogus, Professor Emeritus. Mathematics, algebraic geometry, algebraic differential equations, log poles.
Research Profile

Beresford N. Parlett, Professor Emeritus. Numerical analysis, scientific computation.

Charles C. Pugh, Professor Emeritus. Mathematics, global theory of differential equations.
Research Profile

John L. Rhodes, Professor Emeritus. Mathematics, algebra, semigroups, automata.
Research Profile

Rainer K. Sachs, Professor Emeritus. Mathematical biology.
Research Profile

Isadore M. Singer, Professor Emeritus. Mathematics, physics, partial differential equations, geometry.
Research Profile

Stephen Smale, Professor Emeritus. Algorithms, mathematics, numerical analysis, global analysis.
Research Profile

Robert M. Solovay, Professor Emeritus.

John Steel, Professor Emeritus. Mathematics, descriptive set theory, set theory, fine structure.
Research Profile

Peter Teichner, Professor Emeritus. Topology, quantum field theory.
Research Profile

John B. Wagoner, Professor Emeritus. Mathematics, dynamical systems, differential topology, algebraic K-theory.
Research Profile

Alan Weinstein, Professor Emeritus. Mathematics, mathematical physics, symplectic geometry.
Research Profile

Joseph A. Wolf, Professor Emeritus. Harmonic analysis, differential geometry, Lie groups.
Research Profile

W. Hugh Woodin, Professor Emeritus. Mathematics, set theory, large cardinals.
Research Profile

Hung-Hsi Wu, Professor Emeritus. Real and complex geometry, school mathematics education.
Research Profile

Contact Information

Department of Mathematics

970 Evans Hall

Phone: 510-642-6650

Fax: 510-642-8204

Visit Department Website

Department Chair

Martin Olsson

879 Evans Hall

Phone: 510-642-5229

molsson@math.berkeley.edu

Vice-Chair for Undergraduate Affairs

Olga Holtz

821 Evans Hall

Phone: 510-642-2122

holtz@math.berkeley.edu

Vice-Chair for Graduate Affairs

Jon Wilkening

1051 Evans Hall

Phone: 510-643-7990

wilken@math.berkeley.edu

Director of Student Services

Jennifer Pinney

967 Evans Hall

Phone: 510-642-2479

jensixt@berkeley.edu

Undergraduate Advisor

Thomas Brown

965 Evans Hall

Phone: 510-643-9292

thomasbrown@berkeley.edu

Undergraduate Advisor

Ana Renteria

964 Evans Hall

Phone: 510-643-4148

ana.renteria26@berkeley.edu

Graduate Student Affairs Officer

Victoria Lee

910 Evans Hall

Phone: 510-642-0665

vickyalee@berkeley.edu

Back to Top