Here, you can find the various slides, notes, and other materials that I have created. Please send me an email if you find any typos/mistakes!

Job Application Materials


Talk Slides

Research/Expository

  1. The Periodicity Theorem, Part I. I gave a talk on Section 9.1 of the Hill-Hopkins-Ravenel paper “On the non-existence of elements of Kervaire invariant one” for the eCHT Kervaire Invariant One Reading Seminar in Fall 2020.
  2. Picard Groups of the Stable Module Category for Quaternion Groups. I gave this research talk at many places.
  3. I co-taught the Summer Minicourse “Spectral Sequence Training Montage”, with Arun Debray. I ran problem sessions, and gave two and a half talks on:
  4. Picard Groups of Stable Module Categories. I gave this talk for the GROOT Summer Seminar online in Summer 2020. Video available here.
  5. Applications of Group Cohomology to 3-manifolds. I gave this talk for the junior topology seminar at UT Austin in Spring 2020.
  6. The nilpotency of elements of the stable homotopy groups of spheres. I gave a talk on Nishida’s paper of the same title for the eCHT Kan Seminar in Fall 2019.
  7. Algebraic Methods for Computing Picard Groups. I gave this expository talk at the Graduate Student Topology & Geometry Conference at UIUC in March 2019, as well as the YTM at EPFL in July 2019.

Outreach/Expository

  1. I was a panelist for the UMC and WIM Equity, Diversity, and Inclusion Panel in Winter 2024.
  2. 3-spheres and the Hopf map. I gave a talk for the Undergraduate Mathematics Student Association at UCLA in Fall 2023.
  3. Journeys Through Mathematics. I gave a talk in the Speaker Series for the Undergraduate Math Council at UCLA in Fall 2022.
  4. What’s it like being a mathematician? (pdf version here). I gave a talk for Connected Research at UCLA in Winter 2022.
  5. What is Algebraic Topology? I gave a talk at Rose-Hulman in Spring 2021.
  6. LaTeX Workshop: CVs, Cover Letters, and SOPs (pdf version here). I gave a talk for MoCAT in Fall 2020.
  7. An Elementary Introduction to Picard Groups. I gave an introductory talk for the UT Austin Math Club in Spring 2020.
  8. REU / Summer Opportunities Panelist for the UT Austin Math Club in Spring 2018.
  9. An Overview of Algebraic Topology. I gave an introductory talk for the UT Austin Math Club in Spring 2017.

Math Circles

  1. Number Games. I gave an inquiry-based talk for the UT Austin SMMG in Spring 2020.
  2. Surfaces, Space, and Hyperspace. I gave an inquiry-based talk for the UT Austin SMMG in Spring 2018.

Pedagogy

  1. Reflections on Authentic Assessment (pdf version here). I gave a talk about an authentic assessment I use in my classes for a colloquium at Rice University in January 2024.
  2. BruinLearn, Campuswire, and Gradescope. I gave a talk about my LMS design for the UCLA Teaching & Learning Center Instructional Design Showcase in November 2022.
  3. Building Better Teachers (pdf version here). I gave a talk on using role-play in M371E for the 2020 FIC Graduate Teaching Showcase at UT Austin.
  4. Teaching Inclusively and Equitably Online (pdf version here). I gave this talk at the UT Austin Inequity in STEM Seminar in summer 2020.

EDI

  1. Listen, Amplify, Sustain: Being a better mentor and ally (pdf version here) I gave a talk in the Graduates Achieving Inclusion Now (GAIN) conference in Fall 2021.
  2. Establishing the Mathematicians of Color Alliance at Texas. Xinyu Xie and I presented at the MAA Mathfest Outreach Poster Session in summer 2021.
  3. Teaching Inclusively and Equitably Online (pdf version here). I gave this talk at the UT Austin Inequity in STEM Seminar in summer 2020.