Notes

Lecture notes

• Combinatorics (Graduate)PDF

  From Dr. Catherine Yan’s lecture, Fall 2018

• Representation Theory

  From Dr. Laura Matusevich’s lecture, Spring 2018

• Commutative Algebra and Homological Algebra

  From Dr. Sarah Witherspoon’s lecture, Fall 2017

• Real Variable IPDF

  From Dr. Ken Dykema’s lecture, Fall 2017

• Graph Theory (Graduate)PDF

  From Dr. Catherine Yan’s lecture, Fall 2017, Texas A&M University

• Algebra 2 (Graduate)PDF

  From Dr. Jae-hoon Kwon’s lecture, Fall 2016, Seoul National University

Qualifier

• Solution manual of Introduction to Commutative Algebra (Atiyah–Macdonald)PDF

• Supplement and solutions on Matsumura’s Commutative Ring TheoryPDF

Seminar notes

• Small Dictionary for Hartshorne 2.4PDF

• SWAG NotesZIP

  From SWAG (Students Working Algebraic Geometry) seminars, Fall 2018, Texas A&M University

• Category Theory Seminar, Summer 2019

  Text: Dr. Riehl’s “Category Theory in Context”

  • Ch 1 seminar notes and solutions
  • Ch 2 seminar notes and solutions
  • Ch 3 seminar notes and solutions
  • Ch 4 seminar notes and solutions

Slides

• Effective Resistance Preserving IsomorphismPDF

• Integrate |xy(x+y)| over ℤ_p² with Haar measurePDF

Other notes

• Stochastic calculus cheat sheetPDF

  Handwritten summary: Brownian motion, conditional expectation, martingales, the Itô integral, Itô’s lemma, and SDEs

Essays and translations (in Korean)

• 수학자들PDF

  존 폰 노이만의 “The Mathematician” 번역, 2021

• 벤야민의 “폭력에 대한 비판”을 통해 바라본 웹툰 “비질란테”PDF

  에세이, 2021

Organized seminars

• Category Theory Seminars

  Summer and Fall 2019

• SWAG (Students Working Algebraic Geometry)

  Fall 2021