functional analysis: especially topics related to the quantum mechanics
quantum mechanics: solvable models, singular potentials, point interaction, effects of a non-trivial curvature, Schroedinger and Dirac operators, quantum waveguides
computer algebra systems: Mathematica
Current postdoctoral researchers
Tho Nguyen Duc, Ph.D.
professional interests: classical mechanics: Hamiltonian dynamics in magnetic field, operator and spectral theory: especially interested in the magnetic Laplacian
Borbala Gerhat, Ph.D.
professional interests:(non-self-adjoint) operator and spectral theory, operator families, operator matrices, PDEs, generalised form methods, representation theorems, Schrödinger operators, discrete Hardy type inequalities
Michele Zaccaron, Ph.D.
professional interests: spectral properties for elliptic operators arising from Maxwell's electromagnetic theory
Current Ph.D. students
Ing. Lukáš Heriban
supervisor: M. Tušek
dissertation topic: Dirac waveguides
Ing. Juraj Kováč
supervisor: V. Klika
dissertation topic: Semigroups and non-equilibrium thermodynamics
Ing. Romana Kvasničková
supervisor: D. Krejčiřík
dissertation topic: Mathematical models of hybrid materials
Ing. Václav Růžek
supervisor: M. Tušek
dissertation topic: Relativistic quantum graphs
Ing. Patrik Šnauko
supervisor: F. Štampach
dissertation topic: Solvable models of special Jacobi matrices and orthogonal polynomials
Tuyen Vu
supervisor: D. Krejčiřík
dissertation topic: Optimal shapes of physical objects
Hazal Yurtbak
supervisor: V. Klika
dissertation topic: Towards self-organisation in real systems: models and analysiss
Current students
Bc. Vojtěch Bartoš
supervisor: F. Štampach
thesis topic: Pseudospectrum of discrete Schrödingerova operator with a complex piece-wise continuous potential and weak coupling
Bc. Tomáš Faikl
supervisor: D. Krejčiřík
thesis topic: Metamaterials on curved manifolds
Bc. Jan Havel
supervisor: D. Krejčiřík
thesis topic: Pseudospectra in an operator-theoretic description of black holes
Bc. Tomáš Hrdina
supervisor: F. Štampach
thesis topic: Spectrum of discrete bilaplace operator with a complex potential
David Košťák
supervisor: V. Klika
thesis topic: Asymptotical methods in chemical kinetics
Ruben Karapetyan
supervisor: M. Tušek
thesis topic: Discrete Dirac operator and its non-relativistic limit
Bc. David Kramár
supervisor: D. Krejčiřík
thesis topic: Spectral stability of a relativistic quantum particle on a half-line
Vojtěch Kužel
supervisor: V. Klika
thesis topic: Asymptotické metody a jejich užití při řešení diferenciálních rovnic
professional interests: Non-equilibrium thermodynamics, Mathematical modeling of fuel cell, Theories of mixture, Fluid mechanics especially turbulence modeling and the Ranque-Hilsch effect
professional interests: spectral analysis of Jacobi operators, orthogonal polynomials, moment problem, continued fractions
Department of Mathematics
Faculty of Nuclear Sciences and Physical Engineering
Czech Technical University in Prague
Trojanova 13, 120 00 Prague 2, Czech Republic
mafia(at)km(dot)fjfi(dot)cvut(dot)cz