Consider a Hilbert space of holomorphic functions on a domain in (\mathbb{C}^n). A function in this space is called cyclic if the linear span of its polynomial multiples is dense in the space. Determining whether a …

Logarithmic enumerative geometry is populated by a number of geometric/combinatorial constructions that appear over and over, in particular they always appear whenever talking about degenerations and gluing …

In a series of joint projects with T. Blomme, T.Blomme and A. Urundolil-Kumaran we have been introducing and studying a refined version of Gromov-Witten invariants for surfaces relative to an anticanonical divisor, …

Abstract: In two-player zero-sum games, for every ε > 0, ε-optimal strategies can be selected Lipschitz continuously as the payoffs vary. For general two-player games this fails as strongly as possible: for any ε …

The map $u_*\colon\mathbb R^3\to\mathbb S^2$, $x\mapsto x/|x|$, is a local minimizer of the Dirichlet energy $\int |\nabla u|^2$ among $\mathbb S^2$-valued maps. I will present recent results, and open questions, …

In this talk, we will survey recent works done in collaboration with Xianghong Gong, Takayuki Koike, Xiaojun Wu. We consider an embedded n-dimensional compact complex manifold C in n+d- dimensional complex …

We consider the multicomponent Smoluchowski coagulation equation under non-equilibrium conditions induced either by a source term or via a constant flux constraint. We prove that the corresponding stationary …