Publications
Mathematical Physics
Topological gauge and string theory
Five-dimensional gauge theories and the local B-model, with K. Osuga, Lett. Math. Phys 112, 44 (2022)
On the Gopakumar–Ooguri–Vafa correspondence for Clifford–Klein 3-manifolds, arXiv:1711.07826, Proc. Symp. Pure Math. (AMS) 100 (2018), pp. 59-81
Chern–Simons theory on spherical Seifert manifolds, integrable systems and topological strings, with G. Borot, Adv. Theor. Math. Phys 22-2, 305-394 (2018)
Torus knots and mirror symmetry, with B. Eynard and M. Marino, Annales Henri Poincare 13 (2012), No. 8, pp. 1873-1910.
Open topological strings and integrable hierarchies: Remodeling the A-model, Comm. Math. Phys 312, Issue 3 (2012), 735-780.
The uses of the refined matrix model recursion, with M. Marino and S. Stevan, J. Math. Phys 52, 052305 (2011).
Duality and integrability in topological string theory. International School of Advanced Studies (SISSA/ISAS), 169 pages. ProQuest LLC: AAT 3529737, ISBN: 9781267665898 (2009)
Chern-Simons theory on L(p, q) lens spaces and Gopakumar–Vafa duality, with L. Griguolo, D. Seminara, A. Tanzini, J. Geom. Phys. 60, 417-429 (2010).
Exact results for topological strings on resolved Y(p,q) singularities, with A. Tanzini, Comm. Math. Phys 289 :205-252 (2009).
Classical integrable systems
Mirror symmetry for extended affine Weyl groups, with K. van Gemst, J. Ec. Polytech.–Math. 09, 907 (2022)
E8 spectral curves, Proc. Lond. Math. Soc. 121.4 (2020), 954-1032. (2020)
Rational reductions of the 2D-Toda hierarchy and mirror symmetry, with G. Carlet, S. Romano and P. Rossi, J. Eur. Math. Soc. 19 (2017), 835-880, DOI 10.4171/JEMS/681.
Integrable hierarchies and the mirror model of local CP1, with G. Carlet and P. Rossi, Physica D 241 (invited submission, 2012), 2156-2167.
The local Gromov–Witten theory of CP1 and integrable hierarchies, Comm. Math. Phys 313 (2012) 571-605.
Algebraic Geometry
Refined Gromov-Witten invariants
Refined Gromov-Witten invariants, with Y. Schuler, arXiv:2410.00118, submitted
Enumerative invariants of log CY varieties
Enumerative geometry of surfaces and topological strings, arXiv:2211.11037, solicited review for Int. J. Mod. Phys A
On quasi-tame Looijenga pairs, with Y. Schuler, arXiv:2201.01645, accepted for publication on Commun. Num. Theor. Phys
Stable maps to Looijenga pairs: orbifold examples, with P. Bousseau and M. van Garrel, Lett. Math. Phys 111, 109 (2021).
Stable maps to Looijenga pairs, with P. Bousseau and M. van Garrel, arXiv:2011.08830, to appear on Geom. Topol.
On the log-local principle for the toric boundary, with P. Bousseau and M. van Garrel, Bull. Lond. Math. Soc. 54, 161-181
Open Gromov-Witten theory
Crepant resolutions and open strings II, with R. Cavalieri, Epijournal de Geometrie Algebrique 2, nr. 4, (2018).
Crepant resolutions and open strings, with R. Cavalieri and D. Ross, J. Reine. Angew. Math. (Crelle’s journal) 755, 191-245.
On the open string McKay correspondence for type A singularities, with R. Cavalieri and D. Ross, arXiv:1303.0723. Superseded by Crepant resolutions and open strings.
Open orbifold Gromov–Witten invariants of [C3/Zn]: mirror symmetry and localization, with R. Cavalieri, Selecta Math., 17-4 (2011), 879-933
Other
Lie theory
Exterior powers of the adjoint representation and the Weyl ring of E8, J. Algebra 551 (2020), 301-341. Binaries containing the main result of the paper available with a Mathematica notebook at tiny.cc/E8Char. (Why I love Antoni Wawrzyńczyk)
Gauge/gravity correspondence
Comments on the non-conformal gauge theories dual to Y(p,q) manifolds, with D. Forcella, J. High Energy Phys. 0606, 050 (2006)