Assistant professor at the Department of Physics, FNSPE, Czech Technical University in Prague.
I study quantum systems to understand the stability of matter — from operator and spectral theory and partial differential equations to quantum many-body problems. Alongside the mathematics, I design science-communication games with the CTU Game Lab.
My work sits between mathematics and physics. A recurring theme is what happens to quantum systems at the edge of stability: when bound states appear or disappear, how they decay, and which inequalities control the energy of many-particle systems.
Existence, decay rates and properties of bound states at the ionization threshold of atoms and helium-type systems, and eigenstates with infinite position moments.
Lieb–Thirring and Hardy-type inequalities, ground states of lattice Schrödinger operators, and spectral asymptotics of singular δ and δ′ interactions on curves and surfaces.
Rigorous classical density functional theory: representability, universal bounds and the local density approximation. Earlier work in physical and quantum chemistry.
Selected works: The Lieb–Thirring inequality revisited (J. Eur. Math. Soc., 2021) · Quantum Systems at the Brink series (Forum Math. Sigma, ARMA, Springer INdAM) · Classical Density Functional Theory (Rev. Math. Phys., J. Stat. Phys.) · full list →
People resist being taught, but happily learn when it comes as a by-product of something fun. That observation became Sci-Me!, a board game about the everyday life of a scientist born at the Lindau Nobel Laureate Meetings' online Sciathon, and later the CTU Game Lab — a research group at CTU Prague devoted to games that explain science, logic, electrochemistry and even recommender systems.
The games are played at outreach events, in schools, and at the SPIEL fair in Essen, and they feed back into research and theses on modelling and testing board games with machine learning.
I supervise bachelor's and master's theses at the Department of Physics, FNSPE CTU, both in mathematical physics and in the design and analysis of educational games.
Current list and details: thesis topics at fjfi.cvut.cz · courses · timetable