Research in algebraic geometry uses diverse methods, with input from commutative algebra, PDE, algebraic topology, and complex and arithmetic geometry, among others. At Stanford, faculty in algebraic geometry and related fields use these methods to study the cohomology and geometry of the moduli space of curves, the foundations of Gromov-Witten theory, the geometry of algebraic cycles, and problems of enumerative geometry, as well as many other topics. There is also a great deal of collaboration with geometric representation theory, low-dimensional topology, number theory, and algebraic topology.

Weekly seminar links:

Algebraic Geometry

### Brian Conrad

ProfessorStanford University

Mathematics

**Office:**383-CC

**Address:**

450 Serra Mall

Bldg. 380

Stanford, CA 94305-2125

**Phone:**(650) 723-2972

**Email:**conrad AT math.stanford.edu

**Website:**http://math.stanford.edu/~conrad

**Research Interests:**Number theory Arithmetic geometry

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### Jun Li

ProfessorStanford University

Mathematics

**Office:**383-Z

**Address:**

450 Serra Mall

Building 380

Stanford, CA 94305-2125

**Phone:**(650) 723-4508

**Email:**jli AT math.stanford.edu

**Website:**http://math.stanford.edu/~jli/index.html

**Research Interests:**Algebraic geometry

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### Ravi Vakil

ProfessorStanford University

Mathematics

**Office:**383-Q

**Address:**

450 Serra Mall

Building 380

Stanford, CA 94305-2125

**Phone:**(650) 723-7850

**Email:**vakil AT math.stanford.edu

**Website:**http://math.stanford.edu/~vakil/

**Research Interests:**Algebraic geometry

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