These are all of the Beamer slides for talks that I gave during my undergraduate. If you have any questions or find any errors please let me know! I am always willing to talk about these topics.

The talks are organized with the most recent near the top and the oldest near the bottom. The titles are also links to the talks.

  • Biases in $k$-regular and $k$-indivisible Partitions , with Misheel Otgonbayar. UVA REU. slides . 2022.
    • Describes previous work using the circle method which gives asymptotic for the number of parts in partitions of $n$ which are congruent to $r$ mod $t$. Using similar methods, this talk gives an asymptotic for the number of parts congruent to $r$ mod $t$ among partitions of $n$ which are $k$-regular (no part having multiplicity $k$ or more) and which are $k$-indivisible (no part divisible by $k$). It then explores the properties of the implied biases towards different congruence classes in either case before walking through the proofs using the circle method and Euler-Maclaurin Summation.
    • Incorporates my research with Misheel Otgonbayar done under the advisement of William Craig and the directorship of Ken Ono.
  • Reducibility of Sets in Generalized Settings , with Justine Dell and Henry Fleischmann. Young Mathematician’s Conference. slides . 2021-08.
    • Describes additively irreducible sets in higher dimensions as well as in different bases, from the perspective of the max-min semiring as well as lunar numbers.
    • Incorporates my research with Benjamin Baily, Justine Dell, Henry L. Fleischmann, Leo Goldmakher, Steven J. Miller, Ethan Pesikoff, and Luke Reifenberg.
  • The Complexity of the Zeckendorf Graph Game , with Benjamin Baily and Ethan Pesikoff. Young Mathemtaician’s Conference. slides . 2021-08
    • Explores the complexity of the Zeckendorf graph game, which we showed to be PSPACE-Complete by reducing to the formula game.
    • Incorporates my research with Benjamin Baily, Justine Dell, Henry L. Fleischmann, Steven J. Miller, Ethan Pesikoff, and Luke Reifenberg.
  • The Bergman Game , with Ethan Pesikoff and Luke Reifenberg. Young Mathematician’s Conference. 2021-08. slides .
    • Describes and explores the Bergman Game, a combinatorial game which produces base-$\varphi$ expansions of positive integers.
    • Incorporates my research with Benjamin Baily, Justine Dell, Irfan Durmic, Henry Fleischmann, Isaac Mijares, Steven J. Miller, Ethan Pesikoff, Luke Reifenberg, Alicia Smith Reina, Yingzi Yang.
  • Extensions of Conway’s Game of Life , with Erya Du, Dianhui Ke, and Trey Smith. University of Michigan Lab of Geometry Poster Session. poster . 2021-04.
    • A poster concerning research on extensions of Conway’s Game of Life, particularly probabilistic and weighted extensions of the game.
    • Incorporates my research with Erya Du, Dianhui Ke, and Trey Smith under the advisement of Benjamin Riley, Carsten Sprunger, Katie Storey, and Joern Zimmerling.
  • You Need a Lemma . University of Michigan Directed Reading Program. 2021-04. slides
    • Introduces category theory, thinking using universal properties, and the Yoneda Lemma.
    • Advised by Lukas Schweiller.
  • The Point at $\infty$: What is the Degree of 1/z . University of Michigan Math Club. 2020-04. slides .
    • Introduces Riemann surfaces and the degree of rational maps
    • Advised by Christopher Zhang.