## Expository Writing & Notes

### Expository Notes

- “Notes on Tensor Induction of Chain Complexes”
Partial notes from a paper which is currently on hold. This is a description of tensor induction of chain complexes, first discovered by Leonard Evens, as well as a few elementary properties that to our knowledge have never been documented.

- “
*A Splendid Rickard Complex For*$\mathcal{O}C_2$*And*$\mathcal{O}C_2$*Arising From*$B(C_2)^\times$”The first example I worked out for my thesis work in 2021. The methods used here are outdated and the proofs can be done much more efficiently, but it’s interesting to go back and see how I initially went about trying to work things out!

- “Finding Joy With Combinatorial Games”
Notes I prepared for a talk on combinatorial games. Topics presented are from undergraduate research or communicated from a seminar course from Arthur Benjamin.

- See my main page for more!

### Notes from Readings

## Talks

- “Endotrivial Complexes and Tensor Induction”
- AMS Sectional, Fresno, Special Session on Representation Theory of Non-Semisimple Algebras (May 2023)
- Joint Mathematics Meeting 2023 Contributed Paper Session (January 2023)
- UCSC Graduate Symposium (November 2022)

- Oral Qualifying Exam (June 2022)
- “A Splendid Lift of Equivalences: Lifting p-Permutation Equivalences to Splendid Rickard Complexes.”
- UCSC Postdoc Symposium (May 2022)
- UCSC Mathematics Graduate Student Colloquium (May 2022)
- UCSC Graduate Symposium (April 2022)

- “Checkers, Stacks and other fun things: a Potpourri of Combinatorial Puzzles and Games.”
- SWE UCSC Science On Tap (October 2022)
- UCSC Graduate Student Colloquium (February 2021)

- “Challenging Knight’s Tours.”
- MAA MathFest (August 2018)

- “The Combinatorial Polynomial Hirsch Conjecture.”
- Harvey Mudd College Thesis Day (May 2017)
- MAA SoCal/NV Sectional (April 2017)

## Conferences

- LMS-Bath Symposium on Categorical and Geometric Representation Theory (attendee)
- Topics in Representation Theory: Biset Functors (presenter)
- AMS 2023 Spring Western Sectional Meeting (presenter)
- 2023 CIMPA School: Crossroads of geometry, representation theory and higher structures (attendee)
- Joint Mathematics Meetings 2023 (presenter)
- Representation Theory and Triangulated Categories (2022) (unable to attend)
- Structure of Group Algebras over Local Rings (2022) (attendee)
- MSRI: Sparsity of Algebraic Points (attendee)
- MSRI: Sums of Squares Method in Geometry, Combinatorics and Optimization (2019) (cancelled due to COVID)
- MAA MathFest (2018) (presenter)
- MAA SoCal/NV Sectional (2017) (presenter)
- Joint Mathematics Meetings 2016 (attendee)

## Reading Groups

- Aschbacher, Kessar, & Oliver, “Fusion Systems in Algebra & Topology” (Spring 2022, Fall 2022)
- Balmer, Gallauer, “Permutation Resolutions”
- Bouc, “Biset Functors for Finite Groups” (Fall 2021/Winter 2022, Fall 2022)
- Linkelmann, “The Block Theory of Finite Group Algebras” (Summer/Fall 2021)
- Guillot, “A Gentle Course in Local Class Field Theory” (Spring/Summer 2021) - organizer
- Riehl, “Category Theory in Context” (Summer 2020) - organizer

## Organization

- UC Santa Cruz Graduate Student Colloquium Co-Chair
Fall 2022 - Present Archives of previous years can be found here.