Past Department Members

Maxim Kontsevich

JOB TITLE: Professor

PRIMARY RESEARCH AREA: Geometry/Topology

RESEARCH INTERESTS: Mathematical physics, mirror symmetry

Contact information as of 2023:
maxim@ihes.fr
https://www.ihes.fr/~maxim/

PhD students

Matthew Baker

JOB TITLE: Professor

RESEARCH AREA: Algebra

RESEARCH INTERESTS: Arithmetic Geometry

PhD students

Lior Pachter

JOB TITLE: Professor

RESEARCH AREA: Applied Mathematics

RESEARCH INTERESTS: Mathematical and computational biology

PhD students

SELECTED PUBLICATIONS:

Mihaescu, Radu and Pachter, Lior (2008). Combinatorics of least-squares trees. Proc. Natl. Acad. Sci. USA 105 No.36, 13206-13211. [...

Lauren Williams

JOB TITLE: Professor

RESEARCH AREA: Algebra

RESEARCH INTERESTS: Combinatorics, and connections to representation theory, geometry, and statistical physics

PhD students

SELECTED PUBLICATIONS:

Yuji Kodama and Lauren Williams (2011). KP solitons, total positivity, and cluster algebras. Proc. Natl. Acad. Sci. USA . [...

Denis Auroux

JOB TITLE: Professor

RESEARCH AREA: Geometry/Topology

RESEARCH INTERESTS: Symplectic topology and mirror symmetry

PhD students

SELECTED PUBLICATIONS:

M. Abouzaid, D. Auroux, A. Efimov, L. Katzarkov, D. Orlov,

Homological mirror symmetry for punctured spheres.
J. Amer. Math. Soc. 26 (2013), 1051-1083.

D. Auroux, E...

David M. Goldschmidt

JOB TITLE: Professor

PRIMARY RESEARCH AREA: Algebra

RESEARCH INTERESTS: Group Theory

Contact information as of 2023:
dmgoldschmidt@gmail.com

PhD students

Bjorn Poonen

JOB TITLE: Professor

RESEARCH AREA: Algebra

RESEARCH INTERESTS: Number Theory

PhD students

SELECTED PUBLICATIONS:

Computing Néron–Severi groups and cycle class groups, with D. Testa and R. van Luijk, Compositio Math. 151 (2015), 713–734. Undecidable problems: a sampler, pp. 211–241 in Interpreting Gödel:...

Andrew J. Casson

JOB TITLE: Professor

PRIMARY RESEARCH AREA: Geometry/Topology

RESEARCH INTERESTS: Low-dimension topology

Contact Information as of 2023:
https://math.yale.edu/people/andrew-casson
andrew.casson@yale.edu

PhD students

Andrei Okounkov

TITLE: Professor

RESEARCH AREA: Algebra

RESEARCH INTERESTS: Representation theory (of combinatorial flavor) and its application to algebraic geometry, mathematical physics, probability, special functions, and other fields

Web page

PhD students

Allen Knutson

JOB TITLE: Associate Professor

PRIMARY RESEARCH AREA: Algebra

RESEARCH INTERESTS: Symplectic and algebraic geometry in the service of representation theory

Contact informaiton as of 2023:
allenknutson@gmail.com
https://pi.math.cornell.edu/~allenk/
Research interests as of 2023: Algebraic geometry and algebraic...