Department staff

prof. RNDr. Čestmír Burdík, DrSc.

• email: burdik(at)kmlinux(dot)fjfi(dot)cvut(dot)cz
• personal web page
• current professional interests:
  • boson realizations
  • quasicrystals
  • quantum groups, Hopf algebras
  • integrable systems
  • quantum computing and quantum cryptography

prof. Ing. Václav Klika, Ph.D.

• email: vaclav.klika (atík) fjfi (dot) cvut (dot) cz
• personal web page
• professional interests:
  • mathematical biology-tissue remodelling, reaction diffusion equations, low Reynolds flow
  • non-equilibrium thermodynamics
  • mixture theory

prof. Mgr. David Krejčiřík, DSc.

• email: david.krejcirik(at)fjfi(dot)cvut(dot)cz
• personal web page
• professional interests:
  • spectral geometry (differential operators on manifolds, isoperimetric inequalities)
  • quantum mechanics with non-Hermitian operators (spectral theory for non-self-adjoint operators)
  • mesoscopic physics, nanostructures (quantum waveguides, spectral properties of tubular neighbourhoods of submanifolds)

doc. Ing. Severin Pošta, Ph.D.

• email: severin(at)km1(dot)fjfi(dot)cvut(dot)cz
• personal web page
• professional interests:
  • quantum deformations and their representations, quantum groups and their algebraic properties
  • integrable systems and their constructions
  • ideals
  • noncommutative Gröbner bases, algorithms for symbolic computing

doc. Ing. František Štampach, Ph.D.

• personal web page
• email: stampfra (atík) fjfi (dot) cvut (bod) cz
• professional interests:
  • spectral analysis of linear operators: emphasis on structured matrices (Jacobi, Hankel, Toeplitz, CMV, etc.)
  • orthogonal polynomials: emphasis on solvable models and asymptotic analysis
  • special functions

prof. Ing. Pavel Šťovíček, DrSc.

• email: stovicek(at)fjfi(dot)cvut(dot)cz
• personal web page
• professional interests:
  • quantum mechanics on manifolds
  • models with Aharonov-Bohm effect
  • time-dependent quantum systems
  • applications of computer algebra systems in mathematical physics

doc. Ing. Matěj Tušek, Ph.D.

• email: tusekmat (atík) fjfi (dot) cvut (bod) cz
• personal web page
• professional interests:
  • 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 Ph.D. students

Ing. Lukáš Heriban

• supervisor: M. Tušek
• dissertation topic: Schrödinger and Dirac operators with new classes of interactions supported on hypersurfaces

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. Ivan Janáček

• supervisor: M. Tušek
• thesis topic: Bilayer graphene operator with a delta-interaction supported on a straight line

Bc. Mikuláš Kučera

• supervisor: D. Krejčiřík
• thesis topic: The wave equation with Dirac damping in higher dimensions

Kristian Marian Marik

• supervisor: V. Klika
• thesis topic: Formulace nerovnovážných relativistických modelů na různých škálách a jejich stabilita

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

Mgr. Michal Kozák, Ph.D.

• email: michal.kozak (atík) fjfi (dot) cvut (dot) cz
• personal web page
• dissertation topic: Stability of reaction-diffusion-advection equations
• supervisor: V. Klika
• professional interests: reaction-diffusion systems, mathematical biology, bifurcation analysis, nonlinear PDE

Ing. Radek Novák, Ph.D.

• email: novakra9 (atík) fjfi (dot) cvut (dot) cz
• personal web page
• dissertation topic: Mathematical analysis of quantum mechanics with non-self-adjoint operators
• supervisor: D. Krejčiřík
• professional interests: non-Hermitian operators, PT-symmetry, quantum waveguides

Ing. Jan Fuksa, Ph.D.

• email: jan.fuksa (atík) seznam (dot) cz
• supervisor: Č. Burdík
• consultant: A. Isaev (Dubna)
• professional interests: generalization of Fourier transforms

Ing. Tomáš Kalvoda, Ph.D.

• an external collaborator of Mafia at the Faculty of Information Technology, CTU in Prague
• personal web page
• supervisor: P. Šťovíček
• professional interests: perturbation and averaging methods in classical and quantum mechanics

Mgr. Michal Pavelka, Ph.D.

• an external collaborator of Mafia at the Faculty of Mathematics and Physics,Charles University in Prague
• personal web page
• supervisors: F. Maršík, V. Klika
• professional interests: Non-equilibrium thermodynamics, Mathematical modeling of fuel cell, Theories of mixture, Fluid mechanics especially turbulence modeling and the Ranque-Hilsch effect

Ing. František Štampach, Ph.D.

• supervisor: P. Šťovíček
• 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