This page contains all of my completed original mathematical output, along with a few theses. My published papers can also be found on MathSciNet and zbMATH Open. My preprints can all be found on arXiv.
Preprints
These have been, or will soon be, submitted for publication.
- Superconformal topological recursion, joint with N. Aghaei, N. Orantin, and K. Osuga.
Journal papers
- Highest weight vectors, shifted topological recursion and quantum curves, joint with R. Belliard, V. Bouchard, and T. Nelson. Communications in Mathematical Physics 406 (2025), no. 11, 71pp.
- A new spin on Hurwitz theory and ELSV via theta characteristics, joint with A. Giacchetto and D. Lewański. Selecta Mathematica (New Series) 31 (2025), art. no 90, 83pp.
- Taking limits in topological recursion, joint with G. Borot, V. Bouchard, N.K. Chidambaram, and S. Shadrin. Journal of the London Mathematical Society 112 (2025), no 3, 104pp.
- The Spin Gromov–Witten/Hurwitz correspondence for $\mathbb{P}^1$, joint with A. Giacchetto, D. Lewański, and A. Sauvaget. Journal of the European Mathematical Society (2025), published online first. Extra computations can be found here.
- Topological recursion on transalgebraic spectral curves and Atlantes Hurwitz numbers, joint with V. Bouchard and Q. Weller. Journal of Geometry and Physics 206 (2024), 105306.
- Higher Airy structures and topological recursion for singular spectral curves, joint with G. Borot and Y. Schüler. Annales de l'Institut Henri Poincaré D: Combinatorics, Physics and their Interactions 11 (2024), no. 1, 1–146.
- Loop equations and a proof of Zvonkine’s $qr$-ELSV formula, joint with P. Dunin-Barkowski, A. Popolitov, and S. Shadrin. Annales Scientifiques de l'École Normale Supérieure 56 (2023), no. 4, 1199–1229.
- KP hierarchy for Hurwitz-type cohomological field theories. Communications in Number Theory and Physics 17 (2023), no. 2, 249–291.
- Topological recursion for monotone orbifold Hurwitz numbers: a proof of the Do-Karev conjecture, joint with A. Popolitov and S. Shadrin. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze. Serie V 23 (2022), no. 2, 809–827.
- Special cases of the orbifold version of Zvonkine’s $r$-ELSV formula, joint with G. Borot, D. Lewański, A. Popolitov, and S. Shadrin. Michigan Mathematical Journal 70 (2021), no. 2, 369–402.
- Stimulated Raman adiabatic passage-like protocols for amplitude transfer generalize to many bipartite graphs, joint with K. Groenland and C. Groenland. Journal of Mathematical Physics 61 (2020), 072201.
- Towards an orbifold generalization of Zvonkine’s $r$-ELSV formula, joint with D. Lewański, A. Popolitov, and S. Shadrin. Transactions of the American Mathematical Society 372 (2019), no. 6, 4447–4469.
- Half-spin tautological relations and Faber’s proportionalities of kappa classes, joint with E. Garcia Failde, D. Lewański, and S. Shadrin. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 15 (2019), paper no. 080, 27pp.
- Quasi-polynomiality of monotone orbifold Hurwitz numbers and Grothendieck’s dessins d’enfants, joint with D. Lewański and S. Shadrin. Documenta Mathematica 24 (2019), 857–898.
- Cut-and-join equation for monotone Hurwitz numbers revisited, joint with P. Dunin-Barkowski, A. Popolitov, and S. Shadrin. Journal of Geometry and Physics 137 (2019), 1–6.
- The tautological ring of $\mathcal{M}_{g,n}$ via Pandharipande-Pixton-Zvonkine $r$-spin relations, joint with F. Labib, D. Lewański, and S. Shadrin. Algebraic Geometry 5 (2018), no. 6, 703–727.
- Wall-crossing formulae and strong piecewise polynomiality for mixed Grothendieck dessins d’enfant, monotone, and simple double Hurwitz numbers, joint with M.A. Hahn and D. Lewański. Advances in Mathematics 336 (2018), 38–69.
- Central invariants revisited, joint with G. Carlet and S. Shadrin. J. École polytechnique – Mathématiques 5 (2018), 149–175.
Theses
Cycles of curves, cover counts, and central invariants, PhD dissertation, promotor S. Shadrin, copromotor G. Carlet, Universiteit van Amsterdam.
The Madsen-Weiss theorem, master thesis, supervised by S. Shadrin, Universiteit van Amsterdam.
Kähler-Einstein metrics (following Berman), Part III essay, supervised by J. Ross, University of Cambridge.