CV

Papers and Preprints

• Towards the Nerves of Steel Conjecture- Journal of Algebra, temporary free share link, permanent journal link
• Special Values without Semi-Simplicity Via K-Theory
• Whitehead Filtrations for Computations in Topological Hochschild Homology- to appear in Algebraic and Geometric Topology

In preparation

• Against the Nerves of Steel Conjecture (joint with Tobias Barthel and Maxime Ramzi)

Education

• B.S. in Mathematics, UCLA, 2025

(Relevant) Courses

• Fall 2024
  • Math 226B (Symplectic Geometry)
  • Math 245A (Graduate Real Analysis, pt 1)
  • Math 253A (Several Complex Variables)
  • Math 259A (Operator Algebras)
• Spring 2024
  • Math 207C (Modular Forms, pt. 3, Sharifi’s Conjectures)
  • Math 216A (Geometric Representation Theory)
  • Math 226C (Kahler Geometry)
  • Math 235 (Grid Homology)
• Winter 2024
  • Math 205B (Special Values of L-Functions)
  • Math 207B (Topics in Number Theory, Modular Forms pt 2, p-adic modular forms)
  • Math 227B (Algebraic Topology, pt 2)
  • Math 246B (Graduate Complex Analysis, pt 2)
  • Math 255A (Functional Analysis)
• Fall 2023
  • Math 197 (Reading course with Professor Hill, on the Kervaire Invariant one Problem)
  • Math 207A (Topics in Number Theory, Modular Forms)
  • Math 226B (Topics in Differential Geometry, Fukaya Categories)
  • Math 227A (Algebraic Topology)
  • Math 246A (Graduate Complex Analysis, pt 1)
• Spring 2023
  • Math 197 (Reading course with Professor Merkurjev, on Algebraic Cycles)
  • Math 207C (Topics in Number Theory, Kan seminar style)
  • Math 214B (Algebraic Geometry pt 2)
  • Math 226A (Riemannian Geometry)
  • Math 234 (Topics in Differential Geometry)
• Winter 2022-2023
  • Math 197 (Reading course with Professor Rouquier on Semi-Topological K Theory)
  • Math 207A (Topics in Number Theory, on Abelian Varieties)
  • Math 212B (Advanced Homological Algebra)
  • Math 214A (Algebraic Geometry)
  • Math 225B (Differential Geometry)
• Fall 2022
  • Math 205A (Algebraic Number Theory)
  • Math 215A (Commutative Algebra)
  • Math 216A (Topics in Algebra, on Higher Representation Theory)
  • Math 225A (Differential Topology)
• Summer 2022
  • Math 197 (Reading course with Professor Balmer where I gave weekly lectures on Weibel’s K-book)
• Spring 2022
  • Math 210C (Graduate Algebra, pt 3)
  • Math 225C (Algebraic Topology)
  • Math 229A (Lie Groups and Lie Algebras)
  • Math 235 (Topics in Manifold Theory, on Khovanov Homology)
• Winter 2021-2022
  • Math 210B ( Algebra, pt 2)
  • Math 212A (Homological Algebra)
  • Math 191 (Ramsey Theory)
• Fall 2021
  • Math 210A (Graduate Algebra)

Organizational

• Jas Singh and I are organizing the Winter 2024 algebra learning seminar on intersection theory and motivic cohomology.
• With Spencer Martin, I am organizing the Winter 2024 algebraic topology learning seminar on algebraic K-theory.
• Together with Spencer Martin, I organized the Fall 2023 algebraic topology learning seminar on spectral sequences.
• Zachary Baugher and I organized the UCLA number theory learning seminar this summer on prismatic cohomology.

• During Spring 2023, together with Jacob Swenberg, I co-organized the participating number theory seminar at UCLA on p-adic Hodge Theory.

• During Winter 2023, under the guidance of Professor Merkurjev, I organized the UCLA participating algebra seminar on reductive algebraic groups.

• During Winter 2023, together with Jacob Swenberg, I co-organized the participating number theory seminar at UCLA, following the Berkeley lectures on p-adic geometry.

• During Fall 2022, I organized a reading group on the first chapter of Lurie’s Higher Algebra together with some friends at my school.

Talks

• 03/05/2024: Spoke in the UCLA participating number theory seminar about how Drinfeld modules can be realized as a special case of shtukas.
• 03/06/2024: Spoke in the UCLA participating algebra seminar on how the existence of a motivic t-structure implies Grothendieck’s standard conjectures.
• 02/02/2024: I gave a talk about Hochschild homology and topological Hochschild homology in the UCLA participating algebraic topology seminar.
• 01/19/2024: I gave the introduction and overview talk for the UCLA participating algebraic topology seminar.
• 01/10/2024: I gave the introduction and overview talk for the UCLA participating algebra seminar.
• 12/13/2023: To close out our participating algebraic topology seminar, I spoke about how one can use techniques from Burklund-Pstragowski to determine the E_2 page of a Z-based Adams spectral sequence.
• 11/29/2023: In UCLA’s participating algebra seminar, I spoke about perverse sheaves.
• 10/13/2023: I talked about the Chekanov-Eliashberg DGA of Legendrian knots in the UCLA participating topology seminar.
• 06/07/2023: Gave the concluding talk in the UCLA participating number theory seminar, discussing Topological Hochschild Homology and Integral p-adic Hodge Theory, and how to compute the p-completed algebraic K-theory of quasiregular semiperfectoid rings.
• 05/05/2023: I gave a talk introducing genuine equivariant E infinity rings in the UCLA participating algebraic topology seminar.
• 05/03/2023: Gave a talk on the Fargues-Fontaine curve and period rings for the UCLA participating number theory seminar, following a paper of Morrow.
• 03/15/2023: I gave the concluding talk in the UCLA Winter participating Algebra seminar, discussing how to classify semi-simple and reductive groups over an arbitrary field F by studying certain stacks on the pro-etale site of F.
• 03/07/2023: Gave a talk on Banach-Colmez spaces for the UCLA participating number theory seminar.
• 02/21/2023: Gave a talk on Drinfeld’s lemma for diamonds in the UCLA participating number theory seminar.
• 11/29/2022: I gave another talk in the UCLA participating number theory seminar, introducing concepts of nonarchimedean functional analysis, Berkovich spaces, and eigenvarieties.
• You Could Have Condensed Mathematics, slides from a talk I gave on 11/18/2022 to undergraduates at UCLA. (The slides leave out a lot of details in order to try to make the material more accessible, for an honest, yet more technical talk, see the recording from the talk below this one).
• 11/11/2022: I gave a talk introducing condensed math and analytic geometry in the study seminar on homotopy theory and applications, presenting topics out of Clausen and Scholze’s lectures on condensed math and analytic geometry. (The video should be available at the link on researchseminars.org).
• 10/25/2022: Gave a talk introducing ordinary Lambda-adic modular forms, and describing a structure theorem for them in the UCLA participating number theory seminar.
• 10/21/2022: Gave a talk on the Tate construction, and using it to compute the coefficient ring of an RO(G)-graded cohomology theory, following a paper of Greenless in the UCLA participating algebraic topology seminar.
• A talk I gave on Chapter 1 of Elements of Infinity Category Theory by Riehl and Verity as a part of a higher category theory reading seminar organized by Amartya, Vaibhav, Varun (see Miscellaneous page) and myself. Chapter 2 of Elements as a part of the same learning seminar.

Other

• During Winter 2022-2023, I did a DRP with Matthew Ghermann on Part 1 of The Algebraic and Geometric Theory of Quadratic Forms.