Soheyla Feyzbakhsh

Feyzbakhsh research follows a conjecture of Japanese mathematician Shigeru Mukai, according to which any K3 surface can be uniquely determined by a single curve within it. By bringing in notions from string theory, involving the stability of curves with respect to perturbations, she was able to "complete and generalize Mukai's program", and by relating the invariants of the surface to the invariants of the curve within it, she showed how to control the higher-rank Donaldson–Thomas invariants of a surface by the Gromov–Witten invariants of the curve, and to control those in turn by the rank-zero Donaldson–Thomas invariants. ==Education and career==

Feyzbakhsh studied mathematics and electrical engineering as an undergraduate at Ferdowsi University of Mashhad in Iran, earning a double baccalaureate in 2013. After continuing her studies in a diploma program at the International Centre for Theoretical Physics in Trieste, Italy, she went to the University of Edinburgh in Scotland for doctoral study in pure mathematics. She completed her Ph.D. in 2018 with the dissertation ''Bridgeland stability conditions, stability of the restricted bundle, Brill-Noether theory and Mukai's program'' supervised by Arend Bayer. After postdoctoral research as a Chapman Fellow and EPSRC Postdoctoral Fellow at Imperial College London from 2018 to 2023, and as a Marie-Curie Fellow at Paris-Saclay University from 2021 to 2022, she became a senior lecturer and Royal Society university research fellow at Imperial College in 2024. ==Recognition==

Feyzbakhsh was a 2023 recipient of the Whitehead Prize of the London Mathematical Society, "for her spectacular applications of wall-crossing techniques to questions in classical and enumerative algebraic geometry". She was a 2024 recipient of the Adams Prize of the University of Cambridge, and of the Boris Dubrovin medal of the International School for Advanced Studies in Trieste, "for her impressive results in algebraic geometry, with relevant implications for mathematical physics, in particular string theory". For 2025 she was awarded the Oswald Veblen Prize in Geometry, shared with Richard Thomas. ==Selected publications==

• "Mukai's program (reconstructing a K3 surface from a curve) via wall-crossing", Journal für die reine und angewandte Mathematik (2019) announced in 2017 :Veblen Prize papers: • Jointly with Richard Thomas: "Curve counting and S-duality", Épijournal de Géométrie Algébrique (2023) announced in 2020 • Jointly with Richard Thomas: "Rank r DT theory from rank 0", Duke Mathematical Journal (2024) announced in 2021 • Jointly with Richard Thomas: "Rank r DT theory from rank 1", Journal of the American Mathematical Society (2022) announced in 2021 ==References==