People at the Mathematical Institute of Charles University
Mathematical Institute of Charles University
Christoph Allolio, Ph.D.
Membrane biophysics, curvature elasticity, applied differential
geometry, continuum electrostatics, interfacial phenomena, molecular
simulations, multiscale simulations, stochastic processes, electronic
structure.
doc. RNDr. Miroslav Bulíček, Ph.D.
Partial differential equations - existence, regularity and stability
theory; continuum thermodynamics; mathematical analysis and modelling of
flows and deformation of materials with complicated rheology
RNDr. Zdeňka Crkalová,
Executive and technical editor of the journal Commentationes
Mathematicae Universitatis Carolinae.
Roman Golovko, Ph.D.
Symplectic and contact topology, low-dimensional topology, dynamical systems.
RNDr. Jaroslav Hron, Ph.D.
Numerical solution of flow problems in biomechanics,
finite element method,
parallel solvers for large sparse systems
software for high performance computing.
prof. Ing. Branislav Jurčo, CSc., DSc.
Mathematical physics, homological and homotopical methods in string theory
and quantum field theory, higher algebraic and geometric stuctures and
their applications in physics, BV quantization of gauge theories,
generalized geometry
Mgr. Lukáš Krump, Ph.D.
Invariant operators in the context of differential geometry and Clifford
analysis. Classical and modern projective and non-euclidean geometry.
doc. RNDr. Svatopluk Krýsl, Ph.D.
Theory of sympletic Dirac operators. Hodge theory for elliptic complexes on
Hilbert fibre bundles over compact manifolds.
Application of Lie groups representation theory in differential geometry.
doc. RNDr. Roman Lávička, Ph.D.
Mathematical analysis, hypercomplex analysis. Applications of
representation theory of Lie groups and superalgebras. Constructions of
Gelfand-Tsetlin bases for polynomial solutions of invariant differential
equations.
prof. RNDr. Josef Málek, CSc., DSc.
Analysis of nonlinear partial differential equations, in particular
those describing mechanical, thermal and chemical processes in fluids,
solids and mixtures.
Thermodynamics and mechanics of non-Newtonian fluids.
Dr. Re O'Buachalla,
My research focuses on the noncommutative geometry of quantum groups and their quantum homogeneous spaces, and in particular quantum flag manifolds. The approach used involves a mixture of Hopf algebras, monoidal categories, Lie theory, complex and Kähler geometry, C*-algebras, and unbounded operator theory.
doc. RNDr. Michal Pavelka, Ph.D.
I have two main scientific interests: Geometric non-equilibrium
thermodynamics and theoretical electrochemistry. In the former I
typically combine Hamiltonian mechanics with gradient dynamics (GENERIC
framework). In the latter I make simulations of hydrogen fuel cells and
redox flow batteries. Both are covered by the courses I am teaching.
doc. RNDr. Dušan Pokorný, Ph.D.
Real analysis (convex functions, generalized convexity), fractal geometry (fractal curvatures), integral geometry (curvatures for singular sets), other random topics (Tukey depth, stochastic processes)
prof. Mgr. Milan Pokorný, Ph.D., DSc.
Mathematical analysis of partial differential equations,
particularly equations of mathematical fluid mechanics and
thermodynamics. Existence of a solution, regularity, qualitative
properties of solutions.
doc. Mgr. Vít Průša, Ph.D.
Continuum thermodynamics, phenomenological description of non-linear
response of complex materials, non-Newtonian fluids, stability theory.
prof. RNDr. Jan Rataj, CSc.
(Geometric) measure theory, convex geometry, integral geometry (in
particular, curvature measures of sets with singularities and their
integral-geometric relations), stochastic geometry.
RNDr. Ing. Jaroslav Richter,
User support
prof. Ing. Tomáš Roubíček, DrSc.
Applied mathematical analysis,
partial differential equations,
mathematical modelling in continuum mechanics
and physics and in materials science and engineering,
thermodynamics,
optimization theory, and
numerical analysis.
doc. RNDr. Petr Somberg, Ph.D.
Differential and algebraic geometry, Lie groups and algebras (classical,
affine, super) and their representation theory, Homogeneous spaces (flag
manifolds, (locally) symmetric spaces, reductive spaces), Homogeneous
vector bundles and their equivariant homomorphisms, Finite reflection
groups and their geometry, Homotopy and (co)homology theories (equivariant
spectra), Quantum groups and non-commutative geometry (quantum homogeneous
spaces.)
prof. RNDr. Vladimír Souček, DrSc.
Invariant differential operators on manifolds with a fixed geometric structure. Generalized Cartan geometries, in particular, parabolic geometries. Clifford analysis in one or several variables. Applications of representation theory in analysis. Exact complexes of invariant differential operators.
doc. RNDr. Ondřej Souček, Ph.D.
Mathematical modelling and numerical computations in terrestrial and
planetary geophysics (tidally-induced deformation, dissipation and
transport processes in the interiors of icy moons Europa and Enceladus,
numerical modelling of evolution of ice sheets on Earth and on Mars);
Thermodynamics and mechanics of continua (constitutive theory for
complex materials, thermodynamics and mechanics of continua on surfaces,
thermodynamic modelling of boundary and interface conditions); Theory of
multi-component materials (heterogeneous catalysis, porous media flow,
partial melting and melt transport)
doc. RNDr. Zbyněk Šír, Ph.D.
I teach various geometrical classes ranging from abstract geometry to applied geometrical modeling. My research interests include CAGD and other applied geometric fields, theoretical differential geometry and history of geometry.
Mgr. Dalibor Šmíd, Ph.D.
Teaching math courses for students of Mathematics, Physics and Education.
Mgr. Martin Trčka,
- One of the IT administrators in Karlín.
- Administrator of computer laboratories/classrooms in Karlín.
RNDr. Karel Tůma, Ph.D.
I am interested in the behavior of complex materials, both fluids, and solids that are dissipating energy. For example non-Newtonian fluids with complicated rheology such as viscoelastic fluids or shape memory alloys undergoing a martensitic transformation. I perform numerical simulations of these models using the finite element method with applications in related areas.
