Notes

Here are some notes, handouts, and references from graduate courses I’ve taken and undergraduate courses I’ve taught. They likely contain plenty of typos and errors (which I’m not very likely to fix), so please use them with caution.

Graduate Courses

These are notes from classes I took in graduate school.

• MATH7350 Classifying Space and Bar Construction, Fall 2022, Cornell. Taught by Yuri Berest.
• MATH7350 Homotopical Algebra, Homotopy Colimits and Infinity-Categories, Spring 2021, Cornell. Taught by Yuri Berest.
• MATH7510 3-dimensional Manifolds, Fall 2020, Cornell. Taught by Jason Manning.
• MATH7520 Principal G-Bundles and Classifying Spaces, Spring 2019, Cornell. Taught by Brian Hwang.
• MATH7350 Topics in Homological Algebra, Fall 2018, Cornell. Taught by Yuri Berest.
• MATH6540 Homotopy Theory, Fall 2018, Cornell. Taught by Inna Zakharevich. Additional notes on Spectra.
• MATH6350 Homological Algebra, Spring 2018, Cornell. Taught by Yuri Berest. Notes by Yun Liu and Kimoi Kemboi.
• MATH6510 Algebraic Topology, Spring 2017, Cornell. Taught by Tim Riley.
• MATH6520 Differentiable Manifolds, Fall 2016, Cornell. Taught by Reyer Sjamaar.

Undergraduate Course

These are notes and handouts from the courses I taught/am teaching.

• MATH-M321 Intuitive Topology, Spring 2025, Indiana University Bloomington. Handouts are available upon request.