Research

Research interests

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

Preprints

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

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

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

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

Published

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