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Combinatorics concerns the study of discrete objects. It has applications to diverse areas of mathematics and science, and has played a particularly important role in the development of computer science. While it is arguably as old as counting, combinatorics has grown remarkably in the past half century alongside the rise of computers. It borrows tools from diverse areas of mathematics. Examples include the probabilistic method, which was pioneered by Paul Erdös and uses probability to prove the existence of combinatorial structures with interesting properties, algebraic methods such as in the use of algebraic geometry to solve problems in discrete geometry and extremal graph theory, and topological methods beginning with Lovász’ proof of the Kneser conjecture. A notable application in number theory is in the proof of the Green-Tao theorem that there are arbitrarily long arithmetic progressions of primes. The Stanford Mathematics department is a leader in combinatorics, with particular strengths in probabilistic combinatorics, extremal combinatorics, algebraic combinatorics, additive combinatorics, combinatorial geometry, and applications to computer science.

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Combinatorics

Daniel Bump

Professor
Stanford University
Mathematics

Office: 383-U

Address:
450 Serra Mall
Building 380
Stanford, CA 94305-2125

Phone: (650) 723-4011
Email:
Website: http://math.stanford.edu/~bump/
Research Interests: Automorphic forms Lie groups & representations Number theory

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Chatterjee, Sourav
Professor of Mathematics and Professor of Statistics
Sequoia Hall 108

Sourav Chatterjee

Professor of Mathematics and Professor of Statistics
Stanford University
Mathematics & Statistics

Office: Sequoia Hall 108

Address:
Sequoia Hall 108
390 Serra Mall
Stanford, CA 94305-4065

Phone: (650) 497-3652
Email:
Website: http://statistics.stanford.edu/~souravc/
Research Interests: Probability Theory

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Dembo, Amir
Marjorie Mhoon Fair Professor in Quantitative Science; Professor (Mathematics & Statistics and, by courtesy, Electrical Enginerring)
383-C

Amir Dembo

Marjorie Mhoon Fair Professor in Quantitative Science; Professor (Mathematics & Statistics and, by courtesy, Electrical Enginerring)
Stanford University
Mathematics and Statistics

Office: 383-C

Address:
450 Serra Mall
Bldg. 380
Stanford, CA 94305-2125

Phone: (650) 723-1851
Email:
Website: http://statweb.stanford.edu/~adembo/

Research Interests:
Probability theory
Stochastic processes



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Diaconis, Persi
Mary V. Sunseri Professor of Statistics and Mathematics
383-D

Persi Diaconis

Mary V. Sunseri Professor of Statistics and Mathematics
Stanford University
Mathematics and Statistics

Office: 383-D

Address:
450 Serra Mall
Bldg. 380
Stanford, CA 94305-2125

Phone: (650) 723-5183
Email:
Website: http://statweb.stanford.edu/~cgates/PERSI/index.html
Research Interests: Probability Combinatorics Statistics Group theory

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Jacob Fox

Professor
Stanford University
Mathematics

Office: 384-X

Address:
450 Serra Mall
Building 380
Stanford, CA 94305-2125

Phone: (650) 736-6988
Email:

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Guibas, Leonidas
Paul Pigott Professor in the School of Engineering and Professor, by courtesy, of Electrical Engineering

Leonidas Guibas

Paul Pigott Professor in the School of Engineering and Professor, by courtesy, of Electrical Engineering
Stanford University
Computer Science

Website: http://geometry.stanford.edu/member/guibas/

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Knuth, Donald
Fletcher Jones Professor of Computer Science, Emeritus

Donald Knuth

Fletcher Jones Professor of Computer Science, Emeritus
Stanford University
Computer Science

Website: http://www-cs-faculty.stanford.edu/~uno/

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Manners, Frederick
Szegö Assistant Professor
382-K

Frederick Manners

Szegö Assistant Professor
Stanford University
Mathematics

Office: 382-K

Address:
450 Serra Mall
Building 380
Stanford, CA 94305-2125

Phone: (650) 723-7824
Email:

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Kannan Soundararajan

Professor
Stanford University
Mathematics

Office: 383-W

Address:
450 Serra Mall
Bldg. 380
Stanford, CA 94305-2125

Phone: (650) 723-2629
Email:
Website: http://math.stanford.edu/~ksound/

Research Interests:
Analytical Number theory



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Vondrák, Jan
Associate Professor
383-J

Jan Vondrák

Associate Professor
Stanford University
Mathematics

Office: 383-J

Address:
450 Serra Mall
Building 380
Stanford, CA 94305-2125

Phone: (650) 724-6001
Email:
Website: http://theory.stanford.edu/~jvondrak/

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