• Resolvent degree of arithmetic groups,

(with Claudio Gómez-Gonzáles and Jesse Wolfson), In preparation.

• Cyclic Nielsen realization for del Pezzo surfaces, [arXiv] [pdf]

(with Seraphina Lee and Tudur Lewis), Preprint.

• Uniform estimates for random matrix products and applications, [arXiv] [pdf]

(with Omar Hurtado), Preprint.

• Monodromy in the space of symmetric cubic surfaces with a line, [arXiv] [pdf] [visual]

(with Thomas Brazelton), Preprint.

• A smooth Birman–Hilden theory for hyperkähler manifolds, [journal] [arXiv] [pdf]

J. Reine Angew. Math. (Crelle), 822 (2025), 147–178.

• Fractals in Africanist Music, [journal] [pdf]

(with Claudio Gómez-Gonzáles, Siddharth Viswanath, and Jesse Wolfson), MAA Focus, vol. 44, 2024, no. 4: 18-22. [Additional Materials]

• On The Klein–Hilbert Resolvent Problem by G.N. Chebotarev, [arXiv] [pdf]

Translation from Russian.

Research Talks

• Galois Groups of Equivariant Enumerative Problems - University of Chicago Geometry-Topology Seminar (January 2026)

• On 4-Manifold Mapping Class Groups - University of Maryland, College Park Geometry-Topology Seminar (November 2025)

• Hilbert's 13th Problem for Braid Groups - Summer Research Institute in Algebraic Geometry (July 2025)

• Nielsen Realization for del Pezzo Surfaces - Notre Dame: Discrete Groups in Topology and Algebraic Geometry (June 2025)

• Equivariant Monodromy and Moduli - Joint Math Meetings in Seattle, WA (January 2025)

• Equivariant Monodromy and Moduli - Brown University Geometry/Topology Seminar (November 2024)

• Uniform Central Limit Theorems on Lie Groups - UCSD Group Actions Seminar (October 2024)

• Moduli and 4-Manifold Mapping Class Groups - University of Notre Dame Topology Seminar (April 2024)

• Moduli and 4-Manifold Mapping Class Groups - University of Michigan: Ann Arbor Topology Seminar (March 2024)

• Birman and Hilden, Enriques and Torelli - UCLA Algebraic Topology Seminar (February 2024)

• A Smooth Birman-Hilden Theory for 4-Manifolds - Joint Math Meetings in San Francisco, CA (January 2024)

• A Smooth Birman-Hilden Theory for 4-Manifolds - Texas Geometry and Topology Conference (November 2023)

• The Geometry of Sextics and Resolvent Problems - Algebra, Geometry, and Topology Philadelphia Conference (May 2022)

UCI Department Talks

• Orbifolds and Their Applications to the SSH and Haldane Models - Condensed Matter Physics and Topology Seminar (Spring 2022)

• Cohomology Computations for Condensed Matter Physicists - Condensed Matter Physics and Topology Seminar (Fall 2021)

UCI Department Lecture Series

• Ratner's Theorems and Their Applications (Spring 2021 Lecture Series)