Teaching Experience
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"She ca'n't do sums a bit!" the Queens said together, with
great emphasis.
"Can you do sums?" Alice said, turning suddenly to the White Queen,
for she didn't like being found fault with so much.
The Queen gasped and shut her eyes. "I can do Addition," she said,
"if you give me time-- but I ca'n't do Substraction under
any circumstances!"
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Students interested in writing a thesis under my supervision
are welcome to contact me by
e-mail.
Some of the possible research themes can be seen
here (in Czech).
Below you will find a list of my current and previous students,
lectures and courses, and other information related to my teaching experiences.
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The cake from my dearest students, May 2018.
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Lectures:
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Introduction to Riemannian geometry
(28 hours each year),
Czech Technical University in Prague,
winter semester, since 2019.
Lecture notes HERE.
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Geometrical aspects of spectral theory
(28 hours each year),
Czech Technical University in Prague,
summer semester, since 2014.
Lecture notes HERE.
Sound visualisation.
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Linear algebra = Mathematics 3
(28 hours each year),
Czech Technical University in Prague,
winter semester, 2016-2020.
Lecture notes HERE.
-
ATHENS:
Geometrical aspects of spectral theory
(2 x 30 hours each year),
Czech Technical University in Prague,
twice per year, since 2021.
Nov 2021,
Mar 2022,
Nov 2022,
Nov 2024.
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ATHENS:
Differential geometry: classical and modern
(2 x 30 hours each year),
Czech Technical University in Prague,
twice per year, since 2025.
Mar 2025.
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Schrodinger operators and their spectra
(10 hours),
Basque Center for Applied Mathematics, Bilbao, March 2010.
(Part of BCAM Courses on Applied and Computational Mathematics.)
Lecture notes HERE.
PhD students:
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Romana Kvasnickova
(Czech Technical University in Prague):
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PhD Thesis
"Mathematical models of hybrid materials"
started in October 2021.
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Tuyen Vu
(Czech Technical University in Prague):
- PhD Thesis
"Spectrally optimal shapes of Robin and Laplace materials"
defended in Prague in September 2024.
-
Radek Novak
(Czech Technical University in Prague):
- PhD Thesis
"Mathematical analysis of quantum mechanics with non-self-adjoint operators"
defended in Nantes in October 2018.
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Czech-French cotutelle programme,
with
Xue-Ping Wang
(Universite de Nantes) being the French supervisor.
Postdocs:
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Duc Tho Nguyen,
January 2020 - December 2024.
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Borbala Mercedes Gerhat,
January 2022 - May 2024.
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Michele Zaccaron,
March 2023 - August 2023.
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Aitor Balmaseda,
January-June 2022.
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Nico Michele Schiavone,
October 2021 - March 2022.
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Miguel Monsalve Lopez,
January 2021 - August 2021.
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Orif Ibrogimov,
October 2018 - March 2019, November 2019 - January 2020.
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Biagio Cassano,
September 2018 - August 2019.
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Lucrezia Cossetti,
July-December 2018.
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Stephan Schmitz,
April-June 2015.
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Raphael Henry,
June-July 2014.
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Cristian Cazacu,
September-December 2013.
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Amru Hussein,
March-April 2013.
MSc students:
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Jan Havel
(Czech Technical University in Prague):
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Diploma Thesis
"Spectral theory of black holes"
under preparation.
-
Research Work
"Pseudospectra in an operator-theoretic descriptipn of black holes"
defended in Prague in September 2023.
-
Mikulas Kucera
(Czech Technical University in Prague):
-
Research Work
"The wave equation with Dirac damping in higher dimensions"
under preparation.
-
Tomas Faikl
(Czech Technical University in Prague):
-
Diploma Thesis
"Metamaterials on curved manifolds"
defended in Prague in February 2024.
-
Research Work
"Spectral asymptotics of curved metamaterials"
defended in Prague in August 2022.
-
David Kramar
(Czech Technical University in Prague):
-
Diploma Thesis
"Spectral stability of a relativistic quantum particle on a half-line"
defended in Prague in June 2023.
-
Research Work
"Relativistic particle on a half-line"
defended in Prague in September 2022.
-
Romana Kvasnickova
(Czech Technical University in Prague):
-
Diploma Thesis
"Effective quantum Hamiltonian in thin domains with non-homogeneity"
defended in Prague in June 2021.
-
Research Work
"Geometrically non-trivial thin domains with non-homogeneity"
defended in Prague in September 2020.
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Michaela Jaklinova
(Czech Technical University in Prague):
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Diploma Thesis
"Schroedinger operators with non-Hermitian matrix-valued potentials"
defended in Prague in May 2021.
-
Research Work
"Schrodinger operators with singular matrix potentials:
definition and localisation of the essential spectrum"
defended in Prague in February 2020.
-
Tereza Kurimaiova
(Czech Technical University in Prague):
-
Jan Smejkal
(Czech Technical University in Prague):
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Research Work
"Analytic aspects of domain perturbations due to twisting"
completed in September 2018.
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Vojtech Smid
(Czech Technical University in Prague):
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Diploma Thesis
"Spectrum of Schrodinger operators via the method of multipliers"
defended in Prague in September 2020.
-
Research Work
"Method of multipliers for waveguide systems"
completed in September 2018.
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Katerina Zahradova
(Czech Technical University in Prague):
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Filip Hlozek
(Czech Technical University in Prague):
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Radek Novak
(Czech Technical University in Prague):
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Gabriela Malenova
(Czech Technical University in Prague):
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Helena Sedivakova
(Czech Technical University in Prague):
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Jakub Zelezny
(Czech Technical University in Prague):
-
Martin Jilek
(Czech Technical University in Prague):
BSc students:
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Mikulas Kucera
(Czech Technical University in Prague):
-
Bachelor Thesis
"The wave equation with Dirac damping"
defended in Prague in September 2024.
-
Jan Havel
(Czech Technical University in Prague):
-
Bachelor Thesis
"Quasi-relativistic quantum particle on a circle
with complex magnetic field"
defended in Prague in August 2022.
-
Barbora Bumbalkova
(Czech Technical University in Prague):
-
Bachelor Thesis
"Optimality of honeycombs and related problems"
defended in Prague in September 2022.
-
Tomas Faikl
(Czech Technical University in Prague):
-
Bachelor Thesis
"Spectral analysis of curved metamaterials"
defended in September 2021.
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David Kramar
(Czech Technical University in Prague):
-
Bachelor Thesis
"Solvable models in quasi-Hermitian quantum mechanics"
defended in September 2021.
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Alexandra Ridzikova
(Czech Technical University in Prague):
-
Bachelor Thesis
"Imaginary magnetic field in relativistic quantum mechanics"
defended in February 2022.
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Petr Vlachopulos
(Palacky University Olomouc):
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Bachelor Thesis
"The Cheeger constant and applications"
defended in Olomouc in June 2020.
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Romana Kvasnickova
(Czech Technical University in Prague):
-
Bachelor Thesis
"Effective quantum dynamics in thin domains with non-homogeneity"
defended in September 2019.
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Sabina Zairova
(Czech Technical University in Prague):
-
Bachelor Thesis
"Time-evolution of metamaterial strings"
defended in September 2019.
-
Michaela Jaklinova
(Czech Technical University in Prague):
-
Bachelor Thesis
"Location of eigenvalues of Schrodinger operators with matrix-valued
potentials"
defended in Prague in September 2018.
-
Tereza Kurimaiova
(Czech Technical University in Prague):
-
Jan Smejkal
(Czech Technical University in Prague):
-
Vojtech Smid
(Czech Technical University in Prague):
-
Katerina Zahradova
(Czech Technical University in Prague):
-
Jakub Nemecek
(Czech Technical University in Prague):
-
Bachelor Thesis
"Non-Hermitian PT-symmetric operators and to them similar self-adjoint Hamiltonians"
defended in Prague in February 2015.
-
Filip Hlozek
(Czech Technical University in Prague):
-
Radek Novak
(Czech Technical University in Prague):
-
Gabriela Malenova
(Czech Technical University in Prague):
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Martin Jilek
(Czech Technical University in Prague):
Practical Exercises:
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2016/2017, 2017/2018, 2018/2019, 2019/2020, 2020/2021, 2021/2022, 2022/2023
Czech Technical University
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2016/2017, 2017/2018, 2018/2019, 2019/2020
Czech Technical University
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Practical exercises in Matematika 3
(2 x 28 hours each year except for the last year with 28 hours).
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2016/2017, 2017/2018, 2018/2019
Czech Technical University
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Practical exercises in Real Analysis (2 x 26 hours each year).
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2007/2008
Czech Technical University (28 hours)
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Practical exercises in Theory of ElectroMagnetism,
including Special Relativity.
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2001/2002
Universite de Reims
(92 hours)
- Practical exercises in Methodology of Mathematics
(TD, DEUG MIAS, 1ere annee);
- Practical exercises in Real Analysis 1
(TD, DEUG MIAS, 1ere annee);
- Practical exercises in Real Analysis 2
(TD, DEUG MIAS, 1ere annee).
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2000/2001
Universite de Toulon et du Var
(59 hours)
- Practical exercises in Real Analysis
(TD, DEUG MIAS, 1ere annee).
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