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.[3] By bringing in notions from string theory, involving the stability of curves with respect to perturbations,[3] she was able to "complete and generalize Mukai's program",[4] 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.[4]
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.[5] After continuing her studies in a diploma program at the International Centre for Theoretical Physics in Trieste, Italy,[5][6] she went to the University of Edinburgh in Scotland for doctoral study in pure mathematics.[5] 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.[7]
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.[5]
