Teaching this semester (Spring 2024):  This semester I am teaching MATH201A: Algebra II (graduate level).

Lecture notes for Algebra 1 (MATH201A):  These lecture notes cover 6 topics: Groups, Cathegorie 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 lecture notes cover Representation Theory. The lecture notes covering Commutative Algebra and Homological Algebra will be available soon.

Past teaching:

• 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