Thomas B. Graber
Thomas B. Graber
Professor of Mathematics
A.B., Harvard, 1994; M.A. University of California (Los Angeles), 1995; Ph.D., 1998. Associate Professor, Caltech, 2005-08; Professor, 2008-; Executive Officer, 2022-25.
Research Interests: Algebraic geometry, Moduli Spaces, Gromov-Witten theory
Overview
Professor Thomas Graber is interested in the algebraic geometry of moduli spaces, with applications to numerical invariants of algebraic varieties, problems in birational geometry, and arithmetic over function fields.
Related Courses
IC/Ma 1 abc. Integrated Core: Linear Algebra and Multivariable Calculus.
6 units (3-0-3); 9 units (4-0-5); 3 units (2-0-1); first, second, and third terms, 2025-26.
Prerequisites: concurrent enrollment in other integrated core classes and instructor permission.
Linear algebra and multivariable calculus, including derivatives of vector functions, multiple integrals, line and surface integrals, theorems of Green and Stokes. Sequence of topics will be aligned with the applications of mathematics as they arise in the Integrated Core.
Instructors: Graber, Gherman
Instructors: Graber, Gherman
Ma 130 abc. Algebraic Geometry.
9 units (3-0-6); first, second, third terms, 2025-26.
Prerequisites: Ma 120 (or Ma 5 plus additional reading).
Plane curves, rational functions, affine and projective varieties, products, local properties, birational maps, divisors, differentials, intersection numbers, schemes, sheaves, general varieties, vector bundles, coherent sheaves, curves and surfaces.
Instructors: Xu, Graber
Instructors: Xu, Graber
Ma 8. Problem Solving in Calculus.
3 units (3-0-0); first term, 2025-26.
Prerequisites: simultaneous registration in Ma 1 a.
A three-hour per week hands-on class for those students in Ma 1 needing extra practice in problem solving in calculus.
Instructor: Graber
Instructor: Graber