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Caltech Course Catalog / 2025-2026 Catalog / Courses 2025-26 / Arithmetic Geometry

Ma 135 ab - Arithmetic Geometry

Ma 135 ab

Arithmetic Geometry

9 units (3-0-6)   |  first term
Prerequisites: Ma 130.

The course deals with aspects of algebraic geometry that have been found useful for number theoretic applications. Topics will be chosen from the following: general cohomology theories (étale cohomology, flat cohomology, motivic cohomology, or p-adic Hodge theory), curves and Abelian varieties over arithmetic schemes, moduli spaces, Diophantine geometry, algebraic cycles. Not offered 2025-26.

Published Date: Aug. 29, 2025