Dr Alessio Cela

Alessio is one of our College Research Associates, and is based at the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge as a Visiting Research Fellow.

Biography

Dr. Alessio Cela works in Algebraic Geometry, specialising in Enumerative Geometry. He earned his Ph.D. from ETH Zurich under the supervision of Rahul Pandharipande, after completing his Bachelor's and Master's degrees at La Sapienza University of Rome. His research focuses on Gromov-Witten invariants, their enumerative properties, and their connections to logarithmic and tropical geometry.
Enumerative geometry seeks to count geometric objects satisfying specific conditions. A major breakthrough in the field occurred in 1994 when, motivated by string theory, Kontsevich introduced moduli spaces of stable maps. Mikhalkin later established a correspondence between algebraic and tropical curves, while Gross and Siebert further extended Gromov-Witten theory by introducing logarithmic stable maps. These structures play fundamental roles in mirror symmetry, string theory, and mathematical physics.
Dr. Cela studies various aspects of these spaces and their interactions.