• The $K$-theory of the moduli stacks $\mathcal{M}_2$ and $\overline{\mathcal{M}}_2$ (joint with Dan Edidin). Submitted.

We compute the integral Grothendieck rings of the moduli stacks of smooth and stable genus two curves respectively, and show that they are both free abelian.

• The integral Chow rings of the stacks of hyperelliptic Weierstrass points (joint with Dan Edidin). Submitted.

We compute the integral Chow rings of the stacks parametrizing hyperelliptic curves with n marked Weierstrass points. We proved that the integral Chow rings of each of these stacks is generated as an algebra by any of the psi-classes and that all relations live in degree one.

• Chow classes of divisors on stacks of pointed hyperelliptic curves (joint with Dan Edidin). To appear in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze.

We calculate the Chow classes of the universal hyperelliptic Weierstrass divisor and the universal g^1_2 divisor with expressions in terms of bases of their associated divisor class groups.

• Several problems on moduli stacks of hyperelliptic curves. PhD thesis.

I am co-organizing the Algebraic Geometry Seminar at the University of Arizona. Feel free to email me if you would like to be added to our seminar list.

In 2024, I am co-organizing the NSF funded conference, CAAGTUS (Commutative Algebra and Algebraic Geometry in TUcSon), which will be held at the University of Arizona, May 4-5, 2024.

• 2nd Simons Math Summer Workshop: Moduli, Simons Center, Stony Brook, NY, July 1-19, 2024.

• WiAG 2 (Collaborative Workshop in Algebraic Geometry), Institute for Advanced Study, Princeton, NJ, June 24-28, 2024.

• School and Conference: Macaulay2, Computational Algebraic Geometry and String Theory, University of Utah, Salt Lake City, UT, May 28-June 5, 2024.

• AMS 2024 Spring Southeastern Sectional Meeting, Florida State University, Tallahassee, FL, March 23-24, 2024.

• University of Missouri-Columbia, March 4-6, 2024.

• WAGS, WashU, Nov 4-5, 2023.

• AGNES Summer School -- Intersection Theory on Moduli Spaces, Brown University, July 11-14, 2023.

• Developments in moduli problems, AIM, San Jose, California, Feb 27-Mar 3, 2023.

• Midwest AGNTS 2022, UIC, Oct 22-23, 2022.

• MSRI Summer School -- 988 Tropical Geometry, St. Mary College, Aug 1-12, 2022.

• WAGS, Colorado State, April 22-24, 2022.

• Steven Kleiman -- 80 years, Zoom, Mar 23, 2022.

• Moduli and Algebraic Cycles, Institut Mittag-Leffler, Aug 30-Dec 10, 2021.

• Algebraic Geometry and Moduli, Zoominar, 2020.

• Western Algebraic Geometry Online, Zoom, Apr 18-19, 2020.

• AGONIZE mini-conference, Zoom, Mar 25, 2020.

• Moduli on Chestnut Hill, Boston College, Mar 5-7, 2020.

• I-70 Algebraic Geometry Symposium, WashU, Nov 2-3, 2019.

• (New) Facets of Algebraic Geometry, UMich, Oct 18-20, 2019.

• MSRI Summer School -- 841 Toric Varieties, Taipei, July 29-Aug 9, 2019.