Antoine Song

Ma 10. Oral Presentation. 3 units (2-0-1); first term, 2025-26. Open for credit to anyone. First-year students must have instructor's permission to enroll. In this course, students will receive training and practice in presenting mathematical material before an audience. In particular, students will present material of their own choosing to other members of the class. There may also be elementary lectures from members of the mathematics faculty on topics of their own research interest.
Instructor: Song

Ma 157 abc. Topics in Geometry and Topology. 9 units (3-0-6); first, second terms, 2025-26. Prerequisites: Ma 151 or equivalent, or instructor's permission. Part a: Characteristic classes. Stiefel--Whitney classes, Chern classes, Pontryagin classes, cobordism theory, Chern--Weil theory. Part b and c: Basic topics may vary from year to year and may include elements of Morse theory and the calculus of variations, locally symmetric spaces, special geometry, comparison theorems, relation between curvature and topology, metric functionals and flows, geometry in low dimensions. Part c not offered 2025-26.
Instructors: Chen, Song

Ma 20. Frontiers in Mathematics. 1 unit (1-0-0); first term, 2025-26. Prerequisites: Open for credit to first-year students and sophomores. Weekly seminar by a member of the math department or a visitor, to discuss their research at an introductory level. The course aims to introduce students to research areas in mathematics and help them gain an understanding of the scope of the field. Graded pass/fail.
Instructor: Song