activity
20152026
most citedRamifications of Hurwitz theory, KP integrability and quantum curves

32 citations · 187 across the 32 of their papers we have counts for

collaborators

36 papers

math.AG2026

Beyond descendants: integrable observables for cohomological field theories

Xavier Blot, Danilo Lewański, Sergey Shadrin

We introduce the concept of integrable observables and propose them as alternatives to the standard Witten's psi classes (a.k.a. descendants in quantum gravity) to be coupled…

math.AG2026

On the large genus of Hurwitz numbers

Davide Accadia, Danilo Lewański, Giulio Ruzza

Hurwitz theory provides a large variety of enumerative problems related to algebraic geometry, mathematical physics, and combinatorics. We give a general framework to approach the…

math.CO2026

On the combinatorics of the refined 1-leg DT/PT correspondence

Davide Accadia, Danilo Lewański, Sergej Monavari

We provide a new proof of a result of Bessenrodt on the relation among the generating series of reversed plane partitions and skew plane partitions, motivated by the geometric DT/P…

math.AG2025

Invariants of nested Hilbert and Quot schemes on surfaces

Nadir Fasola, Michele Graffeo, Danilo Lewański +1

Let be a smooth pointed surface. In the first part of this paper we study motivic invariants of punctual nested Hilbert schemes attached to using the Hilbert-Samuel…

math.CO2025★ 1 cited

Completed Cycles Leaky Hurwitz Numbers

Davide Accadia, Maksim Karev, Danilo Lewański

We introduce -completed cycles -leaky Hurwitz numbers and prove piecewise polynomiality as well as establishing their chamber polynomiality structure and their wall cross…

math.AG2024

Cohomological representations of quantum tau functions

Xavier Blot, Danilo Lewański, Sergey Shadrin

In 2016, Buryak and Rossi introduced the quantum Double Ramification (DR) hierarchies which associate a quantum integrable hierarchy to any Cohomological Field Theory (CohFT). Shor…