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Advanced Algebraic Topology
MATH 231BR

Course Information

Description

Continuation of Mathematics 231a. The topic is homotopy theory, done model-independently via infinity-category theory. We will cover the basics of higher categories, the fibrational approach to category theory, straightening-unstraightening, monoidal structures, presentable categories, and an introduction to stable homotopy theory. More targeted material might be presented based on student input and preferences.

School Faculty of Arts & Sciences
Credits 4
Cross Reg

Available for Harvard Cross Registration

Department Mathematics
Course Component Lecture
Grading Basis FAS Letter Graded
General Education N/A
Quantitative Reasoning with Data N/A
Divisional Distribution Science & Engineering & Applied Science
Course Level Primarily for Graduate Students