We do research in algebraic geometry, with a strong focus on interactions with other areas such as probability, statistics, mathematical physics and their applications. We are particularly interested in studying classical geometrical objects with new symbolic and numerical methods.
One of our long term projects is to develop a program to study and connect the various aspects - geometric, computational, tropical and applied - of Riemann's theta function. This is a fundamental object at a crossroad of many fields: most intriguingly it connects algebraic curves with the physics of water waves.
source for the picture: The Dubrovin threefold of an algebraic curve" (arXiv:2005.08244, D. Agostini, T.O. Celik and B. Sturmfels)