I'm a mathematician who also enjoys learning physics. My research focuses on geometric problems usually inspired by supersymmetric field theories or string theory.
I'm currently a research associate at the School of Mathematics and Physical Sciences at the University of Sheffield. You can contact me via i.n.tulli(at)sheffield.ac.uk.
Previously I was a postdoc at the University of Hamburg. I got my Ph.D. at the University of Texas at Austin, under the supervision of Andrew Neitzke.
Publications and preprints:
Resurgence and Riemann-Hilbert problems for elliptic Calabi-Yau threefolds. Joint with T. Bridgeland [arXiv:2407.06974].
Special Joyce structures and hyperkähler metrics. In Letters in Mathematical Physics (2024) [arXiv:2403.00548].
S-duality and the universal isometries of instanton corrected q-map spaces. Joint with V. Cortés. In Communications in Mathematical Physics (2024) [arXiv:2306.01463].
Quantum Curves, Resurgence and Exact WKB. Joint with M. Alim and L. Hollands. In SIGMA (2023) [arXiv:2203.08249].
S-duality and the universal isometries of q-map spaces. Joint with V. Cortés. In Communications in Mathematical Physics (2022) [arXiv:2202.03121].
Mathematical structures of non-perturbative topological string theory: from GW to DT invariants. Joint with M. Alim, A. Saha and J. Teschner. In Communications in Mathematical Physics (2022) [arXiv:2109.06878].
A Hyperkähler geometry associated to the BPS structure of the resolved conifold. Joint with M. Alim and A. Saha. In Journal of Geometry and Physics (2022) [arXiv:2106.11976]
Quaternionic Kähler metrics associated to special Kähler manifolds with mutually local variations of BPS structures. Joint with V. Cortés. In Annales Henri Poincaré (2022) [arXiv:2105.09011].
The Ooguri-Vafa space as a moduli space of framed wild harmonic bundles. In SIGMA (2025) [arXiv:1912.00261].