PhD students and their topics:
- Stanislav Skoupý: Search and state transfer over networks via quantum walks (Štefaňák; 7y)
- Hanka Řada, neé Dlouhá: Representations using multidimensional continued fraction (Starosta; 5y)
- Ondřej Kubů: Superintegrable system in magnetic fields (Šnobl; 4y)
- Jana Lepšová: Infinite words with low factor complexity (Dvořáková and Labbé; 4y)
- Daniel Štěrba: Quantum networks with Markovian evolution (Jex and Novotný; 4y)
- Artem Kandaurov: Quantum reinforcement learning (Gábris; 3y)
- Lukáš Heriban: Dirac waveguides (Tušek; 2y)
- Václav Růžek: Relativistic quantum graphs (Tušek; 2y)
- Patrik Šnauko: Solvable models of special Jacobi matrices and orthogonal polynomials (Štampach; 2yr)
- David Spitzkopf: Soft quantum waveguides (Exner; 2y)
- Patrik Wittek: Continued fractions with bounded partial quotients (Turek; 2y)
- Rajeswari Murukan Chandrika: Applications of quantum computation in quantum chemistry (Štefaňák; 1y)
- Chenjelani Mwale: Generalizations of Hadamard and conference matrices (Turek; 1y)
- Magdalena Parýzková: Multiphoton interference from non-classical states of light (Hamilton and Štefaňák; 1y)
- Jan Pekař: Vertex coupling effects in quantum graphs (Exner; 1y)
Former PhD students:
- Martin Malachov: Quantum chaos in quantum purification protocols (Jex; def. 12.9.23)
- Iveta Semorádová: Nonstandard perturbation methods and non-Hermitian models in quantum mechanics (Znojil; def. 11.10.21)
- Josef Rukavička: Enumeration on finite rich words (Starosta; def. 26.5.21)
- Jiří Maryška: Asymptotic properties of quantum Markov processess (Jex and Novotný; def. 6.4.21)
- Jan Mareš: Dynamics of percolated quantum walks on graphs (Jex and Novotný; def. 22.3.21)
- Antonín Hoskovec: Information transfer for multiple excitations (Jex; def. 2.12.20)
- Kateřina Kalová, neé Medková: Substitutive sequences and their properties (Pelantová; 29.9.20)
- Jan Loskot: Modern measurement techniques and their use in university teaching (Kříž; def. 22.5.19)
- Radek Novák: "Mathematical analysis of quantum mechanics with non-self-adjoint operators (Krejčiřík and Xue-Ping Wang; def. 19.11.18)
- Iva Bezděková: Quantum walks with point spectrum (Jex; def.16.2.18)
- Helena Kolešová, née Šediváková: Quantum aspects of beyond-Standard-model theories with extended gauge symmetries (Malínský; def. 7.6.2017)
- Tomáš Vávra: Arithmetical properties of Pisot units (Masáková; def. 24.3.2017)
- Michal Jex: Strongly singular operators with with interactions supported by curves and surfaces (Exner; def. 26.10.16)
- Pavel Bažant: Error correction of quantum protocols (Jex, def. 16.2.16)
- Tomáš Hejda: Geometrical aspects of positional representations of real and complex numbers (Pelantová and Steiner; def. 1.2.16)
- Daniel Vašata: Modelling of social systems (Šeba; def. 18.6.15)
- Daniel Dombek: Numeration systems with negative basis (Masáková; 11.9.14)
- František Štampach: Spectral analysis of Jacobi matrices and related problems (Šťovíček; 10.9.14)
- Filip Studnička: Analysis of biomedical signals acquired by ballistocardiographic mesurements (Šeba; def. 8.11.13)
- Tomáš Kalvoda: Time-dependent clasical dynamical systems (Šťovíček; def. 12.2.13)
- Václav Potoček: Optical implementation of quantum walks (Jex; def. 29.1.13)
- Štěpán Starosta: Rauzy graph automorphisms and their applications (Pelantová; def. 26.4.12)
- Jan Smotlacha: Gradation of Lie algebras and orthogonal polynomials (Chadzitaskos; def. 29.2.12)
- Jiří Lipovský: Quantum graphs and their generalizations (Exner; def. 26.9.11)
- Petr Siegl Non-Hermitian quantum models,
indecomposable representations, and coherent state quantization (Gazeau and Znojil; def. 20.9.11)
- Stanislav Vymětal: Purification protocols in quantum information (Jex; def. 24.3.11)
- Karel Klouda: Non-standard numeration systems and combinatorics on words (Pelantová and Frougny; def. 19.11.10)
- Martin Štefaňák: Interference phenomena in quantum information (Jex; def. 14.6.10)
- Petr Vytřas: Quantum systems with magnetic field and point interactions (Šťovíček; def. 5.5.10)
- Petr Novotný: Graded contractions of Lie algebra sl(3,C) (Tolar; def. 6.1.10)
- Ondřej Turek: Schroedinger operators on metric graphs (Exner and Duclos; def. 11.12.09)
- Matěj Tušek: Non-Euclidean geometries in quantum mechanics, quantum planar models (Šťovíček; def. 10.12.09)
- Hynek Bíla: Pseudo-Hermitian Hamiltonians in quantum physics (Znojil; def. 11.5.09)
- Pavel Hejčík: Properties of simple quantum graphs (Šeba and Cheon; def. 21.8.08)
- Martin Fraas: Models of quantum systems with strong singular interactions (Exner; def. 25.06.08)
- L'ubomíra Balková: Beta-integers and quasicrystals (Masáková and Gazeau; def. 26.5.08)
- Peter Baláži: Infinite words coding k-interval exchange transformation (Pelantová; def. 14.3.08)
- Jiří Hrivňák: Invariants of Lie algebras (Tolar; def. 13.12.07)
- Milena Svobodová: Gradings of Lie algebras (Pelantová; def. 3.12.07)
- Jaroslav Novotný: Entanglement and its role in quantum information processes (Jex; def. 11.10.07)
- Hynek Lavička: Simulation of agents on complex networks (Jex; def. 11.10.07)
- Ondřej Lev: Time-periodic quantum systems (Šťovíček; def. 24.5.07)
- Vít Jakubský: Pseudo-Hermitian quantum mechanics (Znojil; 25.10.06)
- Petr Ambrož: Arithmetical and combinatorial properties of non-standard numeration systems (Pelantová and Frougny; def. 25.9.06)
Undergraduates:
- Ondřej Šrámek: Magnetic effects in the spectrum of laterally coupled layers (Exner; 6y)
- Viola Vavryčuková: Symmetries in factor languages and palindromic richness (Pelantová; 6y)
- Vojtěch Bartoš: Discrete Schrödinger operator with complex step potential (Štampach; 5yr)
- Ludvík Cigna: Quantum dots and quantum optimal control (Štefaňák; 5y)
- Adam Gottfried: Transport properties of quantum systems of a mixed dimensionality (Exner; 5y)
- Tomáš Hrdina: Discrete polyharmonic operator with complex potential (Štampach; 5y)
- Monika Jurečková: The origin of mathematical symbols (Turek; 5y)
- Jiří Kolář: Quantum waveguides of a nontrivial profile (Exner; 5y)
- Eliška Krátká: Quantum machine learning for malware classification (Gábris; 5y)
- Daniela Opočenská: Critical exponent and asymptotic critical exponen (Dvořáková; 5y)
- David Čapek: Enhancing Grover search by measurement (Gábris; 4y)
- Petr Červenka: Study of quantum systems described by two-dimensional Dirac equation via exactly solvable models (Jakubský; 4y)
- Veronika Hendrychová: Mathematical models of phylogenetic compression (Dvořáková and Břinda; 4y)
- Vlastimil Hudeček: Quantum neural networks (Gábris; 4y)
- Ruben Karapetyan: Continuous limit of discrete operators (Tušek; 4y)
- Simona Klanicová: Unitary circulant matrices (Turek; 4y)
- Tomáš Fojtík: Analysis of transition from high school to university mathematical disciplines (Turek; 3y)
- Jiří Horák: Use of mathematics in economy (Turek; 3y)
- Anežka Klézlová: Unitary circulant matrices (Turek; 3y)
- Oleg Molkanov: Killing tensors and integrals of motion (Šnobl; 3y)
- Richard Schlösinger:: Origin of the planetary system (Chadzitaskos; 3y)
- Adam Valášek: Game theory (Turek; 3y)
- Tomáš Velek: Resource state generation for measurement based quantum computing (Gábris; 3y)
- Jakub Waclawek: Discrete Hardy inequalities (Štampach; 3yr)
- Veronika Isolda Zámečníková: Asymptotics of resonances in quantum graphs with preferred-orientation coupling (Lipovský; 3y)
Former master and bachelor students:
- Filip Breuer: Vortex curves in systems with point interactions (Exner; Bc. 2023)
- Petr Červenka: Solvable models described by one-dimensional Dirac equation and
their application in physics of graphene (Jakubský; Bc. 2023)
- Veronika Hendrychová: String attractors (Dvořáková; Bc. 2023)
- Ruben Karapetyan: Discrete Dirac operator and its non-relativistic limit (Tušek; Bc. 2023)
- Magdalena Parýzková: Two-particle quantum walk on percolated graph (Štefaňák; Ing. 2023)
- Jan Pekař: Quantum graphs with circulant vertex couplings (Exner; Mgr. 2023)
- Katarina Studenovičová: Arithmetics in generalised Cantor base systems (Masáková; Ing. 2023)
- Tomáš Tarhovický: Number representation in systems with complex bases (Masáková; B. 2023)
- Lukáš Vácha: Dirac operators with rectangular barriers: scattering and the Klein paradox (Tušek; Ing. 2023)
- Štěpán Zelenka: Quantum chaos on graphs (Lipovský; Bc. 2023)
- Lukáš Heriban: Nonlocal approximations of relativistic contact interactions (Tušek; Ing. 2022)
- Tereza Lehečková: Polynomial integrability and superintegrability with electromagnetic field in special relativity (Šnobl; Ing. 2022)
- Tomáš Macháček: Spectral determinants of non-selfadjoint operators (Lipovský; Mgr. 2022)
- Patrik Šnauko: Application of the theory of orthogonal polynomials to solution of Heun's differential equation (Šťovíček; Ing. 2022)
- Zuzana Hodbodová: Influence of rings to the orbital velocity of stars in galaxies (Chadzitaskos; Bc. 2022)
- Monika Jurečková: Quantum graphs spectra (Turek; Bc. 2022)
- Daniela Opočenská: Critical exponent of balanced sequences (Dvořáková; Bc. 2022)
- Vladimír Ježek: Aplications of factor graphs (Lipovský; Mgr. 2021)
- Hynek Peřina: Linear numeration systems (Ambrož, Ing. 2021)
- Václav Růžek: Exactly solvable models for the graphene (Tušek; Ing. 2021)
- Jan Thiele: Image processing and orthogonal functions (Chadzitaskos; Ing. 2021)
- Pavla Veselá: Real and complex number spectra and their applications (Masáková; Ing. 2021)
- Michal Grno: Magnetic transport along translationally invariant obstacles (Exner; Bc. 2021)
- Daniel Štěrba: Synchronization mechanisms in quantum Markov processes (Novotný; Ing. 2020)
- Václav Košík: Generalized Thue-Morse words (Pelantová; Ing. 2020)
- Ondřej Kubů: Time dependent integrals of motion of superintegrable systems and their utilization (Šnobl; Ing. 2020)
- Pavel Lokvenc: Lattices with vertex coupling noninvariant with respect to time reversal (Exner; Ing. 2020)
- Stefan Hajduk: Positional representation of vectors (Svobodová; Bc. 2020)
- Ramina Khusnutdinova: Natural number representations in the linera recurrent system (Ambrož; Bc. 2020)
- Stanislav Kruml: Antipalindromic numbers (Dvořáková; Bc. 2020)
- Tomáš Macháček: Collatz cojecture (Lipovský; Bc. 2020)
- Felix Fournier: Spherical type integrable classical systems in a magnetic field (Šnobl and Winternitz; MSc. U. Montréal 2019)
- Jan Mazáč: Delone sets closed under afine mappings (Masáková; Ing. 2019)
- Daniel Štěrba: Synchronization of quantum subsystems (Novotný; Ing. 2019)
- Julius Koval: Structure of Clifford groups in finite-dimensional quantum mechanics (Tolar; Bc. 2019)
- Hynek Peřina: Iterated digits of digit function (Pelantová; Bc. 2019)
- Václav Růžek: Exactly solvable models for the graphene (Tušek; Bc. 2019)
- Pavla Veselá: Localisation of roots of polynoms with integer coefficients (Masáková; Bc. 2019)
- Hana Dlouhá: Periods of continued fractions of elements of a quadratic field (Starosta; Ing. 2018)
- Marie Fialová: Dirac operator spectral analysis as an instrument to study graphene (Tušek; Ing. 2018)
- Filip Hložek: Metamaterials: spectral-theoretic approach (Krejčiřík; Ing. 2018)
- Ondřej Kadlec: Pal and Antipal Complexity (Ambrož; Ing. 2018)
- Michaela Kochmanová: Algorithms for nonstandard numeration systems (Dombek; Ing. 2018)
- Jakub Krásenský: Positional numeration systems in quaternions (Kovács; Ing. 2018)
- Tereza Štefková: Localization on Manhattan lattices (Jex; Ing. 2018)
- Tereza Velká: Privileged words (Dvořáková; Ing. 2018)
- Vojtěch Veselý: Morphic images of the Arnoux-Rauzy words (Starosta; Ing. 2018)
- Vojtěch Teska: Clifford groups in quantum computing (Novotný and Korbelář; Ing. 2018)
- Kateřina Zahradová: Spectral analysis of quantum nanoribbons (Krejčiřík; Ing. 2018)
- Ondřej Kubů: Symmetriesof superintegrable systems (Šnobl; Bc. 2018)
- Filip Němec: Orthogonal coordinate systems and superintegrable models (Šnobl; Bc. 2018)
- Ondřej Plecháček: Trajectories of resonances in quantum graphs (Lipovský; Bc. 2018)
- Daniel Gromada: Classification of realizations of low dimensional Lie algebras (Pošta; Ing. 2017)
- Jan Kotrbatý: Construction of representations
and Lie fields (Pošta; Ing. 2017)
- Stanislav Skoupý: Search and state transfer by means of quantum walks (Štefaňák; Ing. 2017)
- Václav Jiříček: Voronoi tilings of quasicrystals with the dodecagonal symmetry (Ambrož; Ing. 2017)
- Eduard Šubrt: Voronoi tilings of quasicrystals with the dodecagonal symmetry (Ambrož; Ing. 2017)
- Zuzana Krčmáriková: Numeration systems with negative bases (Vávra; Ing. 2017)
- Magdalena Tinková: Cubic number field with Pisot units having F property (Pelantová; Ing. 2017)
- Helena Svobodová: The triangular billiard and the associated infinite ternary words (Pelantová; Ing. 2017)
- Marta Brzicová: On-line multiplication and division in positional numeration systems (Svobodová; Ing. 2017)
- Pavla Bartonová: Group theory and quantum computation (Novotný and Korbelář; Bc. 2017)
- Tereza Kurimaiová: Bounds on resonant frequencies of vibrational systems (Krejčiřík; Bc. 2017)
- Pavel Lokvenc: Application of Lie algebra invariants to characterize contractions (Novotný; Bc. 2017)
- Václav Košík: Derived words and substitutions (Pelantová; Bc. 2017)
- Jan Mazáč: Quasicrystal models with self-similarity (Masáková; Bc. 2017)
- Pavel Baxant: PDC waveguide arrays (Jex; Ing. 2016)
- Josef Florian: Generalized pseudostandard words (Dvořáková; Ing. 2016)
- Jaroslav Kysela: Equilibrium states formation in quantum networks with a random interaction (Novotný; Ing. 2016)
- Jan Legerský: Algorithms for parallel computing (Starosta; Ing. 2016)
- Kateřina Medková: Bispecial factors in languages of S-adic systems (Klouda; Ing. 2016)
- Jindřich Prokop: Properties and classification of a class of solvable Lie algebras with higher dimensional centres (Šnobl; Ing. 2016)
- František Ružička: Non-selfadjoint operators in quantum physics: selected aspects (Znojil; Ing. 2016)
- Iveta Semorádová: Quantum mechanics of Klein-Gordon equation (Znojil; Ing. 2016)
- Pavla Bartonová: Group theory and quantum computation (Novotný and Korbelář; Bc. 2016)
- Miroslav Kovář: Implementation of algebraic operations with continued fractions in SageMath (Starosta; Bc. 2016)
- Libor Martínek: Superintegrable 2D and 3D Hamiltonians (Šnobl; Bc. 2016)
- Tereza Štefková: Trapping in quantum walks (Jex; Bc. 2016)
- Vojtěch Teska: Algebras of observables and quantum computing (Novotný and Korbelář; Bc. 2016)
- Oldřich Vlašič: Redundance in numeration systems (Masáková; Bc. 2016)
- Kateřina Zahradová: Relatively parallel frame for curves in any dimension (Krejčiřík; Bc. 2016)
- Martin Malachov: Quantum chaos in purification protocols (Jex; Ing. 2015)
- Kateřina Pastirčáková: Spectra of quadratic numbers (Starosta; Ing. 2015)
- Marta Brzicová: On-line multiplication and division in positional numeration systems (Svobodová; Bc. 2015)
- Maria Fialová: Nodal curves on two-dimensional domains (Tušek; Bc. 2015)
- Michaela Kochmanová: Algorithms for nonstandard numeration systems (Dombek; Bc. 2015)
- Jakub Krásenský: Quaternions and positional number systems (Pelantová; Bc. 2015)
- Jakub Němeček: Non-Hermitian PT-symmetric operators and to them similar self-adjoint Hamiltonians (Krejčiřík; Bc. 2015)
- Jindřich Prokop: Wiener process and properties of its paths (Šnobl; Bc. 2015)
- Stanislav Skoupý: Quantum walks, search algorithm and state transfer (Štefaňák; Bc. 2015)
- Magdalena Tinková: Arithmetic operations in number systems based on quadratic irrationalities (Pelantová; Bc. 2015)
- Tereza Velká: Privileged words (Dvořáková; Bc. 2015)
- Martin Veselý: Morphic images of the Arnoux-Rauzy words (Starosta; Bc. 2015)
- Jan Mareš: Quantum walks on percolated graphs (Jex; Ing. 2014)
- Richard Finger: Penney numeration system (Svobodová; Bc. 2014)
- Josef Florian: Palindromic closures and palindromes in infinite words (Balková; Bc. 2014)
- Jakub Hlavnička: Pseudorandom number generators and combinatorics on words (Balková; Bc. 2014)
- Jan Kotrbatý: Twirling operations in quantum algorithms (Novotný; Bc. 2014)
- Zuzana Krčmáriková: Rotations of quaternions (Janovská; Bc. 2014)
- Kateřina Medková: Languages generated by morphisms (Klouda; Bc. 2014)
- František Ružička: The concept of hidden hermiticity and quantum graphs (Znojil; Bc. 2014)
- Eduard Šubert: Voronoi tilling and cut-and-project sets (Ambrož; Bc. 2014)
- Karel Břinda: Abelian complexity of infinite words (Klouda; Ing. 2013)
- Gabriela Malenová: Spectra of quantum graphs (Krejčiřík and Kurasov; Ing. 2013)
- Jiří Maryška: Quantum communication using coherent states (Jex; Ing. 2013)
- Radek Novák: Bound states in non-Hermitian systems (Krejčiřík, Siegl; Ing. 2013)
- Jiří Fiala: Aperiodic random number generators (Balková; Bc. 2013)
- Jan Legerský: Hash functions and combinatorics on words (Balková; Bc. 2013)
- Antonín Hoskovec: Information transfer for multiple excitations (Jex; Ing. 2012)
- Jan Fuksa: Two dimensional Fourier-like transforms (Pošta; Ing. 2012)
- Iva Bezděková: Spreading of the quantum walk as a wave phenomenon (Štefaňák; Ing. 2012)
- Pavel Heller: Positional representation of quaternions (Svobodová; Bc. 2012)
- Tomáš Hejda: Möbius number systems (Kůrka; Ing. 2012)
- Michal Jex: Geometrically induced properties of the ground state of quantum mechanical Hamiltonians with contact interactions (Exner; Ing. 2012)
- Václav Košař: Hamiltonians with constant spectral intervals and time-dependent perturbation (Šťovíček; Ing. 2012)
- Tomáš Vávra: (-beta)-integers (Masáková; Ing. 2012)
- Jakub Kolář: Continued fractions based on beta-integers (Masáková; Bc. 2011)
- Štěpán Timr: Spectral properties of comb graphs (Exner; Bc. 2011)
- Ekhlas Alqadassi: Representation of integers in linear recurrent number systems (Ambrož; Bc. 2011)
- Karel Břinda: Abelian complexity of infinite words (Pelantová; Bc. 2011)
- Helena Šediváková: Quantum waveguides under mild regularity assumptions (Krejčiřík; 5y, Ing. 2011)
- Jakub Železný: The Krein-space theory for non-Hermitian PT-symmetric operators (Krejčiřík, Siegl; Ing. 2011)
- Dominik Macáš: Factors occuring in 3iet words (Pelantová; Ing. 2010)
- Iva Bezděková: Interference, localization and quantum walks (Jex; Bc. 2010)
- Daniel Dombek: Beta-numeration systems with negative bases (Ambrož; Ing. 2010)
- Marek Honzírek: Dominance in the control flow graph (Ambrož; Bc. 2010)
- Antonín Hoskovec: Perfect state transfer for trapped ions (Jex; Bc. 2010)
- Karel Jedlička: Equivalence in the control flow graph (Ambrož; Bc. 2010)
- Michal Jex: Geometrically induced properties of the ground state of point-interaction Hamiltonians (Exner; Bc. 2010)
- Milan Kočica: Rauzy graphs of infinite words (Ambrož; Bc. 2010)
- Gabriela Malenová: Quantitative study of Hardy inequalities in twisted waveguides (Krejčiřík; Bc. 2010)
- Filip Štaffa: Scattering problem for time-dependent quantum systems in the adiabatic limit (Šťovíček; Bc. 2010)
- František Štampach Spectral analysis of certain Jacobi matrices (Šťovíček; Ing. 2010)
- Tomáš Vávra: Nonstandard numeration systems with negative base (Masáková; Bc. 2010)
- Ekaterina Askarova: Visualisation of Rauzy graph (Balková; Bc. 2009)
- Miroslav Bulušek: Visualisation of the maximal matching problem (Ambrož; Bc. 2009)
- Nina Marinová: Characteristics of infinite words (Ambrož; Bc. 2009)
- Lenka Motlochová: Exponential groups on Weyl orbits (Pošta; Bc. 2009)
- Jakub Nekola: Visualisation of the maximal network flow problem (Ambrož; Bc 2009)
- Lucie Smrčková: Trees of palindromes in infinite words (Ambrož; Bc. 2009)
- Petr Šulc: Slow evolutionary dynamics of RNA structures (Tolar and Štefaňák; Ing. 2009)
- Lenka Háková: Morfisms preserving 3iet words (Pelantová; Mgr. 2008)
- Jiří Lipovský: Spectral and resonance properties of quantum graphs (Exner; Mgr. 2008)
- Petr Siegl: Quasi-Hermitian models (Znojil; Ing. 2008)
- Jiří Hofman: Factor trees in infinite words (Ambrož; Mgr. 2007)
- Daniel Dombek: Arithmetics of quadratic beta-integer numbers (Ambrož; Bc. 2008)
- Dominik Macáš: Number systems with noninteger basis and their palindromicity (Pelantová; Bc. 2008)
- Přemysl Rubeš: Generalized numeration systems and their redundance (Masáková; Bc. 2008)
- Martin Jílek: Quantum waveguides with Robin boundary conditions (Krejčiřík; Bc. 2006)
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Last update: January 2, 2024