Here I plan to put up notes and/or slides for talks I have given, as well as expository stuff that I have written. Please send me an email if you find any typos! I also occasionally post to my blog Anecdotal Math, where I tell entertaining stories about mathematics and mathematicians.

Talk Notes

  1. Simple Homotopy Theory and Whitehead Torsion. I gave this talk for the homotopy theory student seminar on algebraic K-theory at UT Austin in Fall 2016.
  2. Modular Representation Theory and Phantom Maps. I gave this talk for the student geometry seminar at UT Austin in Fall 2016.
  3. Applications of Group Cohomology. I gave this talk for the student geometry seminar at UT Austin in Spring 2017.
  4. Taylor Towers and Snaith Splitting. I gave this talk for the homotopy theory student seminar on Goodwillie Calculus at UT Austin in Fall 2017.
  5. The Structure of Stable Homotopy Theories. I gave a talk on the first two sections for the student geometry seminar at UT Austin at UT Austin in Fall 2017.
  6. Nilpotence in Stable Homotopy Theory. I gave two talks for the homotopy theory student seminar on Nilpotence and Descent at UT Austin in Spring 2018.

Talk Slides

  1. An Overview of Algebraic Topology. I gave an introductory talk on algebraic topology and homotopy theory for the UT Austin Math Club in Spring 2017.
  2. Surfaces, Space, and Hyperspace: An exploration of 2, 3, and higher dimensions. I gave an inquiry-based talk on surfaces and higher dimensions for the UT Austin Saturday Morning Math Group (SMMG) in Spring 2018.

Expository

  1. The Group Structure of the Rubik's Cube. I wrote the first draft in Fall 2015 for Math 551 at Rutgers. A version appeared in the Spring 2015 issue of Principia, the Princeton Undergraduate Mathematics Journal.
  2. Bordism and the Pontryagin Thom Theorem. I wrote the first draft in Spring 2016 for Math 382D at UT Austin.