University of California, Los Angeles

Department of Mathematics — Algebraic Geometry

United States · PhD

The UCLA Department of Mathematics maintains an active research tradition in algebraic geometry, spanning birational geometry, the Minimal Model Program, rationality of algebraic varieties, and the period-index problem, making it a leading center for algebraic geometry research.

学术历史

UCLA's algebraic geometry tradition draws on the department's long-standing strength in birational geometry, algebraic topology, and singularity theory. Burt Totaro's work on the structure of algebraic varieties and rationality questions, together with Joaquín Moraga's research on singularities in the Minimal Model Program and Fano varieties, has kept UCLA at the forefront of multiple branches of birational geometry.

当前状态

The UCLA Department of Mathematics currently offers specialized courses and seminars in algebraic geometry, birational geometry, and the Minimal Model Program. PhD students engage with frontier topics in singularity theory, Fano varieties, and rationality questions. The department regularly hosts academic events in algebraic geometry.

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