Yassine El Maazouz

Ma 132 abc. Topics in Algebraic Geometry. 9 units (3-0-6); third term, 2026-27. Prerequisites: Ma 130 or instructor's permission. This course will cover advanced topics in algebraic geometry that will vary from year to year. Topics will be listed on the math option website prior to the start of classes. Previous topics have included geometric invariant theory, moduli of curves, logarithmic geometry, Hodge theory, and toric varieties. This course can be repeated for credit. Part b, c not offered 2026-27.
Instructor: El-Maazouz

Ma/ACM/IDS 140 abc. Probability. 9 units (3-0-6); first, second, third terms, 2026-27. Prerequisites: For 140 a, Ma 108 b is strongly recommended. This course begins with an overview of measure theory, followed by topics that include random walks, the strong law of large numbers, the central limit theorem, martingales, Markov chains, characteristic functions, Poisson processes, and Brownian motion. Towards the end, some further topics may be covered, such as stochastic calculus, stochastic differential equations, Gaussian processes, random graphs, Markov chain mixing, random matrix theory, and interacting particle systems.
Instructors: Tamuz, El-Maazouz, L. Zhang