Teaching this semester (Fall 2024): This semester I am teaching MATH201A: Algebra II (graduate level).
Lecture notes for Algebra 1 (MATH201A): These lecture notes cover 6 topics: Groups, Cathegory theory, Rings, Modules, Tensor products, and Fields (Galois theory). They are based on lectures given at Brandeis in fall 2021.
Lecture notes for Algebra 2 (MATH201B): These lectures notes cover Representation Theory, Commutative Algebra, and Homological Algebra. They are based on lectures given in spring 2024.
Past teaching:
Spring 2024: Graduate Algebra 2 (MATH 201B).
Fall 2023: Graduate Combinatorics (MATH 239A)
Spring 2023: Graduate Algebra 2 (MATH 201B).
Fall 2021: Graduate Algebra 1 (MATH 201A).
Spring 2021: Second Year Seminar (MATH 200A).
Fall 2020: Graduate Algebra 1 (MATH 131A) and Topics Combinatorics (MATH 180B)
Spring 2020: Second Year Seminar (MATH 200A).
Fall 2019: Graduate Algebra 1 (MATH 131A) and Graduate Combinatorics (MATH 180A)
Fall 2018: Graduate Algebra 1 (MATH 131A) and Advanced Calculus and Fourier Analysis (MATH 35)
Spring 2018: Graduate Algebra II (MATH 131B) and Graduate Combinatorics (MATH 180A)
Fall 2017: Advanced Calculus and Fourier Analysis (MATH 35)
Spring 2017: Graduate Algebra II (MATH 131B)
Fall 2016: Graduate Combinatorics (MATH 180A) and Introduction to probability and statistics (MATH 8A)
Fall 2015: Introduction to probability and statistics (MATH 8A)
Fall 2014: Graduate Algebra 1 (MATH 131A) and Introduction to probability and statistics (MATH 8A)
Spring 2014: Graduate Algebra 2 (MATH 131B) and Advanced Calculus (MATH 35)
Spring 2013: Topics in Combinatorics (MATH 150): The Symmetric Group and Schur Processes
Fall 2012: Graduate Algebra 1 (MATH 131A) and Advanced Calculus (MATH 35)
Spring 2012 (MIT): Principles of Applied Mathematics (cotaught with Neil Olver)
Spring 2011, Fall 2011 (MIT): Undergraduate Seminar in Discrete Mathematics