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
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
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: Discrete Schrödinger operator with complex step potential
Bc. Tomáš Faikl
supervisor: D. Krejčiřík
thesis topic: Metamaterials on curved manifolds
Bc. Jan Havel
supervisor: D. Krejčiřík
thesis topic: Spectral theory of black holes
Bc. Tomáš Hrdina
supervisor: F. Štampach
thesis topic: Discrete polyharmonic operator with complex potential
Ivan Janáček
supervisor: M. Tušek
thesis topic: Bilayer graphene operator with a delta-interaction supported on a straight line
Bc. Ruben Karapetyan
supervisor: M. Tušek
thesis topic: Continuum limit for discrete block operator matrices
Bc. Mikuláš Kučera
supervisor: D. Krejčiřík
thesis topic: The wave equation with Dirac damping in higher dimensions
Bc. Vojtěch Kužel
supervisor: V. Klika
thesis topic: Globální asymptotické metody a metoda homogenizace
Kristian Marian Marik
supervisor: V. Klika
thesis topic: Formulace nerovnovážných relativistických modelů na různých škálách a jejich stabilita
Adam Vyšínský
supervisor: Č. Burdík
thesis topic: Separability and PPT criterion for quantum states in low dimensions
Bc. Jakub Waclawek
supervisor: F. Štampach
thesis topic: Discrete Hardy inequalities
Graduated Ph.D. students (since 2013)
Tuyen Vu, Ph.D.
defended on September 26, 2024
supervisor: D. Krejčiřík
dissertation topic: Spectrally optimal shapes for Laplace and Dirac materials
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