Research

Research interests

Mathematical physics. Gromov-Witten theory. Cohomology of moduli spaces. Classical and quantum integrable systems. Combinatorics. Positive grassmannian. Amplituhedron. 

Preprints

1. Equivalence of quantizations of dispersionless KdV hierarchy (2025).
   https://arxiv.org/abs/2510.10234

2. Meromorphic differentials and twisted DR hierarchies for the Hodge CohFT (with P. Rossi, A. Sauvaget) (2025). Submitted.
   https://arxiv.org/abs/2508.09899

3. Cohomological representations of quantum tau functions (with D. Lewanski, S. Shadrin) (2024). Submitted.
   https://arxiv.org/abs/2411.03499 

4. Rooted trees with level structures, Omega-classes and double ramification cycles (with D. Lewanski, S. Shadrin) (2024).  Submitted.
   https://arxiv.org/abs/2406.06205

5. On the strong DR/DZ equivalence conjecture (with D. Lewanski, S. Shadrin) (2024). Submitted.
   https://arxiv.org/abs/2405.12334

Published

1. Meromorphic differentials, twisted DR cycles and quantum integrable hierarchies (with P. Rossi) (2024)
   Communications in Mathematical Physics. Arxiv version & Published version.

2. Faber's socle intersection numbers via Gromov--Witten theory of elliptic curve (with S. Shadrin, I. Jaztar Singh)  (2025)
   Bulletin of the London Mathematical Society. Arxiv version & Published version.

3. Stable tree expressions with Omega-classes and Double Ramification cycles (with S. Shadrin, D. Lewanski, P. Rossi) (2024)
   Journal of Geometry and Physics. Arxiv version & Published version.

4. The master relation for polynomiality and equivalences of integrable systems (with A. Sauvaget, A. Shadrin ) (2024)
   Bulletin of the London Mathematical Society. Arxiv version & Published version.

5. Quantum intersection numbers and the Gromov-Witten invariants of CP1 (with A. Buryak) (2024)
   Letters in Mathematical Physics. Arxiv version & Published version.

6. The amplituhedron crossing and winding number (with Jian-Rong Li). (2022)
   Journal of Geometry and Physics. Arxiv version & Published version.

7. The quantum Witten-Kontsevich series and one-part double Hurwitz numbers. (2020)
   Geometry & Topology. Arxiv version & Published version. 

Thesis

• The quantum Witten-Kontsevich series. (2020)