黑料吃瓜网

• PhD in Theoretical Particle Physics, SISSA Trieste, 2020
• MSci in Theoretical Physics, Università di Pisa, 2016

CRM-ISM Postdoctoral Fellow (CRM Montréal, 2021-2023), Research Associate (University of Sheffield, 2023-2024).

Research themes

• Integrable Systems
• Tau Functions
• q-Difference Equations
• String Theory
• Stability Conditions
• Mirror Symmetry

Research activity

Dr Del Monte's research develops rigorous methods to understand nonperturbative String Theory through Integrable Systems. Recently, he expanded its scope to include Bridgeland Stability conditions and Donaldson-Thomas invariants in Algebraic Geometry. Specifically, he investigates integrable systems related to supersymmetric quantum field theories (QFTs) derived from geometric constructions in M-theory: isomonodromic deformations for four-dimensional 'class S' theories and their q-deformations for five-dimensional 'geometrically engineered' theories.

In 4d, he studied isomonodromic tau functions on elliptic curves through analytic Fredholm determinant formulas, relating them to non-perturbative partition functions. He also characterised these tau functions via the symplectic geometry of flat connections, which he is leveraging to study their modular transformations, physically corresponding to electromagnetic duality in the QFT.

In 5d, he introduced a novel correspondence with discrete integrable systems, enabling exact computations of BPS spectra and solutions to the associated Riemann-Hilbert problem. This work addressed longstanding problems in the algebraic geometry of stable sheaves. He also studies monodromy spaces of q-difference equations, parametrising moduli spaces of vacua and line operators in 5d QFTs. He is developing a new approach to this growing subject, through a systematic study of WKB approximation for q-difference equations.