Research
Journal Articles (peer-reviewed)
- “Generalized versality, special points, and resolvent degree for the sporadic groups,” with A. Sutherland, J. Wolfson. Journal of Algebra, 647: 758–793 (2024).
- “Problems in arithmetic topology,” with J. Wolfson. Research in the Mathematical Sciences, 8(2): 1–14 (2021).
- “Spaces of non-degenerate maps between complex projective spaces.” Research in the Mathematical Sciences, 7(3): 26 (2020).
Pre-prints
- “Special points on intersections of hypersurfaces.”
- “On the resolvent degree of PSU(3,q) with an appendix co-authored by Nawal Baydoun,” with Pablo Christofferson, Akash Ganguly, Ella Kuriyama, and Carmen Li.
- “Solvable points on intersections of quadrics, cubics, and quartics,” with Jesse Wolfson.
A wise friend once said that each mathematician has in their heart a single problem or phenomena that animates their entire career. For me, this is (spaces of) configurations of points in the plane, i.e., (spaces of) polynomials. I am fascinated by the topology of enumerative problems. My current work is in resolvent degree, which is a centuries-old measure of complexity—formalized independently by Brauer (1975) and Arnold–Shimura (1976) and not officially named until Farb–Wolfson (2018)—that is motivated by one of our oldest and most important questions:
“How can we solve algebraic equations in the simplest manner possible?”
To learn more, see our GitHub repository documenting known bounds, Reichstein’s recent overview, Sutherland’s dissertation, and the seminal paper by Farb–Wolfson (also the associated Quanta article). While you’re at it, check out Arnold’s retrospective where he casts his life’s work in pursuit of “essentially one problem” (and teaches us lots about math).
GitHub
- Docs-as-Code Math Course Template. A Quarto template for typesetting accessible (WCAG-compliant) course materials featuring automated student/instructor build profiles and unified cross-referencing.
- Resolvent Degree of Finite Groups. Living catalog of upper bounds on RD, with codebase for verification and community contributions.
Other Scholarly Articles
- “An interview with George Csicsery.” with A. Prieto-Langarica. MAA FOCUS (2026).
- “FOCUS Roundtable: On the Value of Inclusivity, I,” with S. Kennedy. MAA FOCUS (2025).
- “The impact of recent government actions on our community,” with A. Henrich. MAA FOCUS (2025).
- “Math around the world: A conversation with Michael Dorff and Nancy Neudauer.” MAA FOCUS (2025).
- “Fractals in Africanist music,” with S. Raman, S. Viswanath, J. Wolfson. MAA FOCUS (2024).
- “#DisruptJMM,” with W. Bork, C. Eaton, Piper H. MAA FOCUS (2022).