Address: Ke Karlovu 3, 121 16 Praha 2
tel.:
+420 / 221 911 111
fax: +420 / 221 911 292
http://www.mff.cuni.cz/
Dean: Prof. RNDr. Zdeněk Němeček,
DrSc.
tel.: +420 / 221 912 301
fax: +420 / 222 323 394
e-mail: zdenek.nemecek@mff.cuni.cz
Vice-Dean for Study Matters:
Prof. RNDr. Jiří Anděl, DrSc.
tel.: +420 / 221 913
283
e-mail: andel@karlin.mff.cuni.cz
Vice-Dean for Research and International
Relations: prof. RNDr. Viktor Beneš, DrSc.
tel.: +420 / 221 913
278
e-mail: viktor.benes@karlov.mff.cuni.cz
Assistants for Doctoral Studies:
ing. Jana
Jágrová
tel.: +420 / 221 911 218
fax: +420 / 221 911 440
e-mail: jagrova@dekanat.mff.cuni.cz
Mgr.
Dagmar Zádrapová
tel.: +420 / 221 911 223
fax: +420 / 221 911
440
e-mail: zadrap@dekanat.mff.cuni.cz
Algebra: The field is composed roughly of the following sub-disciplines: binary systems, groups and their representations, universal algebra, circles, modules and homological algebra, commutative algebra, lattices and Boolean algebras.
Theory of Numbers: the field is divided into subdisciplines: elementary and combinatorial theory of numbers, analytic theory of numbers, probability theory of numbers, geometry of numbers, diophantine equations and approximations.
Mathematical Logic: mathematical logic, set theory, recursion theory, Peano arithmetic and complexity theory, the applied mathematical logic and applied set theory, philosophy and history of mathematics.
The study field also covers applications, methods and didactics of problems in the field.
Chairman of the Subject Board: doc. RNDr. Jan Trilifaj,
CSc.
Sokolovská 83, Praha 8
tel.: +420 / 221 913 230
e-mail: jan.trilifaj@tf.cz
The areas of topology, geometry and analysis that work with the concept of smooth manifold: foundations of algebraic and differential topology, global analysis of manifolds, especially tensor analysis, Lie groups and algebras and their representations, topology and geometry of fibre spaces, geometry of homogeneous spaces, differential operators and harmonic analysis, Riemannian geometry, Cartan’s method of external forms, some geometric methods in physics.
Internal and external problems of topological-algebraic structures, their relation to set theory (theory of ultrafiltres, Boolean algebras), to analysis (especially dynamic systems, spaces of connected functions) to information science (recognition of figures) and to combinatoric structures. The theory of categories especially in relation to algebras and topological spaces and to information science/theory (e.g. theory of automata)
The study field also covers applications, methods and didactics of problems in the field.
Chairman of the Subject Board: doc. RNDr. Jiří Vanžura,
CSc.
Mathematical Institute, AS CR
Žižkova 22, 616 62 Brno
tel.: +420
/ 549 246 314, 532 290 376
e-mail: vanzura@ipm.cz
Functions of real and complex variables, theory of measure and inegration, special functions, Fourier and harmonic analysis, topological vector spaces, Banach spaces, operator theory, calculus of variations and non-linear functional analysis.
Ordinary and partial differential equations (elliptical, hyperbolic, parabolic), integral equations, classical and modern potential theory, integral transformations, spectral theory, pseudodifferential operators.
The study field also covers applications, methods and didactics of problems in the field.
Chairman of the Subject Board: prof. RNDr. Luděk Zajíček,
DrSc.
Department of Mathematical Analysis
Sokolovská 83, 180 00 Praha 8
tel.: +420 / 221 913 253
e-mail: ludek.zajicek@mff.cuni.cz
The theory of probability, theory of random processes, analysis of time series, theory of estimates and testing hypotheses, multi-dimensional statistical analysis, theory of reliability, applications of the theory of probability and mathematical statistics.
The study field also includes didactic problems of the field.
Chairman of the Subject Board: prof. RNDr. Marie Hušková,
DrSc.
Department of Probability and Mathematical Statistics
Sokolovská 83,
180 Praha 8
tel.: +420 / 221 913 277
e-mail: marie.huskova@mff.cuni.cz
Deterministic and stochastic optimization, econometrics, mathematical economics, financial mathematics, insurance mathematics, application of probability and mathematical statistics in economics.
Convex analysis. The theory and algorithms of smooth and non-smooth optimalisation. Theory and methods of parametric, interval and stochastic optimalisation. The theory of deterministic and indeterministic systems. Theories and methods of combined and discrete optimal regulation. Optimization in spaces of infinite dimension. Dynamic programming. Theories and methods of approaching conflict situations (vector optimization, game theory, utility theory etc.)
The study field also includes didactic problems of the field.
Chairman of the Subject Board: prof. RNDr. Jitka Dupačová,
DrSc.
Department of Probability and Mathematical Statistics
Sokolovská 83,
180 Praha 8
tel.: +420 / 221 913 280
e-mail: jitka.dupacova@mff.cuni.cz
Doctoral studies involve the deepening of knowledge and research in the field of approximate and numerical methods, corresponding software design and the numerical solution of problems of science and technology. Key concepts include computational algorithms and their properties, algorithmic complexity of numerical algorithms, mathematical theory of numerical processes including estimates of error, computer realisations and the creation of numerical software.
The study field also includes applications, methodological and didactic problems of the field.
Chairman of the Subject Board: doc. RNDr. Vladimír Janovský,
DrSc.
Department of Numerical Mathematics
Sokolovská 83, 180 00 Praha 8
tel.: +420 / 221 913 360
e-mail: mailto:vladimr.janovsky@mff.cuni.cz
Social insurance (pensions provision, sickness insurance, health insurance, pension funds). Demography (the construction of demographic indicators, mortality and sickness rates, population estimates and projections). Financial time series (statistical characteristics of financial temporal orders, modelling of price volatility, predictions in time series). Statistical methods in insurance and banking (risk assessment, estimates of financial reserves, statistics of damage course).
The study field also includes didactic problems of the field.
Chairman of the Subject Board: prof. RNDr. Petr Mandl,
DrSc.
Department of Probability and Mathematical Statistics
Sokolovská 83,
180 00 Praha 8
tel.: +420 / 221 913 281
e-mail: petr.mandl@mff.cuni.cz
Elementary mathematics, the history of mathematics and information science, teaching of mathematics and information science at secondary and higher schools.
Chairman of the Subject Board: doc. RNDr. Jindřich Bečvář,
CSc.
The Mathematical Institute CU
Sokolovská 83, 180 00 Praha 8
tel.:
420 / 221 913 251
e-mail: jindrich.becvar@mff.cuni.cz
Theory of computational complexity, theory of formal languages, computer geometry, logicl programming, artificial intelligence. The study field also includes applications, methodological and didactic problems of the field.
Chairman of the Subject Board: prof. RNDr. Petr Štěpánek,
DrSc.
Department of Theoretical Computer Science and Mathematical
Logic
Malostranské nám. 25, 118 00 Praha 1
tel.: +420 / 221 914
243
e-mail: petr.stepanek@mff.cuni.cz
Translators, real-time systems, operation systems, data of knowledge bases, query languages, theory of programming languages, software engineering, CAD, CAM, computer graphics, neural networks. The study field also includes applications, methodological and didactic problems of the field.
Chairman of the Subject Board: prof. Ing. František Plášil,
DrSc.
Department of Software Engineering
Malostranské nám. 25, 118 00
Praha 1
tel.: +420 / 221 914 266
e-mail: frantisek.plasil@mff.cuni.cz
The main elements of the field are: a) formal linguistics, i.e. the description of natural language in the form of a correct mathematical system (generative grammar, formal models of discourse etc.), including intentional semantics; b) computational linguistics, i.e. computer processing of natural language (automatic morphological and syntactico-semantic analysis, machine translation, computer models of text understanding, communication with an expert system in natural language etc.) c) mathematical theory of grammars and languages, d) quantitative (statistical) linguistics.
The study field also includes applications, methodological and didactic problems of the field.
Chairman of the Subject Board: prof. PhDr. Jarmila Panevová,
DrSc.
Department of Formal and Applied Linguistics
Malostranské nám. 25,
118 00 Praha 1
tel.: +420 / 221 914 305
e-mail: jarmila.panevova@mff.cuni.cz
Discrete and combinatorial structures and their morphisms. Block designs, configurations, and coding theory. Algebraic combinatorics. Ramsey theory, combinatorial enumeration. Graph theory, graph algorithms, geometric representations of graphs partial orders. Computational geometry. Combinatorial aspects of statistical physics. Computational complexity in discrete mathematics, analysis of graph, combinatorial and geometric algorithms and problems.The study field also includes applications, methodological and didactic problems of the field.
Chairman of the Subject Board: prof. RNDr. Jaroslav
Nešetřil, DrSc.
Department of Applied Mathematics
Malostranské nám. 25,
118 00 Praha 8
tel.: +420 / 221 914 229
e-mail: jaroslav.nesetril@mff.cuni.cz
The study program covers not only nearly all directions of modern theoretical and experimental physics but problems of applications, methodology, and didactics of physical phenomena are also included. The research and education are carried out in a close cooperation with institutes of Czech Academy of Sciences and other research and industrial institutions. In accord with their interests, students can choose one of 12 study branches.
The study deals with research in various branches of theoretical physics and astrophysics. It is concentrated on following topics: nuclear and atomic physics, statistical physics, general relativity and gravitation, relativistic astrophysics, mathematical and physical cosmology, theoretical astronomy and astrophysics. Within observational astronomy, the research is mainly concentrated on stellar and galactic astronomy, in particular on binary system.
Chairman of the Subject Board: prof. RNDr. Jiří Bičák,
DrSc.
The Institute of Theoretical Physics
V Holešovičkách 2
180 00
Prague
tel.: +420 221 912 499
e-mail: jiri.bicak@mff.cuni.cz
The study branch covers both theoretical and experimental research of plasmas under different conditions ranging from low-temperature anisotropic plasma typical for gas discharges through hot plasma systems used in the controlled nuclear fusion research up to investigations of processes in space plasmas. The study also includes boundary disciplines like plasma chemistry or plasma interactions with solid surfaces. The research as well as the study can be oriented toward problems of plasma diagnostics or technical applications of plasmas.
Chairman of the Subject Board: doc. RNDr. Jana Šafránková,
DrSc.
Department of Electronics and Vacuum Physics
V Holešovičkách
2
180 00 Prague
tel.: +420 221 912 300, 301
e-mail: jana.safrankova@mff.cuni.cz
The mission of the study field is to foster a collaborative and interdisciplinary education and research in the fundamental solid state physics and the science of materials. In collaboration with researchers of other institutes it not only promotes theoretical and experimental physics of condensed matter and materials science but also their applications in material design, technology and processing are encouraged.
Chairman of the Subject Board: doc. RNDr. František Chmelík,
CSc.
Department of Electronic Structures
Ke Karlovu 5
121 16
Prague
tel.: +420 221 113 359
e-mail: frantisek.chmelik@mag.mff.cuni.cz
This field covers a broad subject area at the border of physics, chemistry, and biology. In particular, it includes experimental and theoretical studies of molecules, macromolecules, supramolecular structures, nanoparticles, and thin films. Investigations of biomolecules, cell structures, cells, organisms, and biological systems are also involved provided that they are carried out via physical experimental or theoretical methods or they are evaluated using physical principles. Despite the majority of the thesis falling to basic research, a lot of them is aimed to development of new materials, search for novel chemotherapeutic species and medical treatment procedures, design of new monitoring methods for agriculture and food industry, environmental analysis, etc.
Chairman of the Subject Board: doc. RNDr. Josef Štěpánek,
CSc.
Institute of Physics of Charles University
Ke Karlovu 5
12116
Prague
tel.: +420 221 911 345
e-mail: josef.stepanek@mff.cuni.cz
The study branch covers experimental and theoretical research of structures and processes on solid surfaces and interfaces. Doctoral theses are in close relation with the most challenging problems of material science and nanotechnology ( characterization of surfaces, surface catalysis, controlled growth of nanostructures, processes in ultrahigh vacuum systems, transport phenomena). Experimental investigations are based on surflace analytical techniques using electron diffraction, large variety of electron and ion spectroscopy methods, scanning tunnelling microscopy and optical spectroscopy.
Chairman of the Subject Board: Doc. RNDr. Ivan Ošťádal,
CSc.
Department of Electronics and Vacuum Physics
V Holešovičkách 2
180
00 Prague
tel.: +420 221 912 336
e-mail: ivan.ostadal@mff.cuni.cz
The field of quantum optics is concerned with the interaction of the quantized light field with matter.There are possibilities for postgraduate study in the fields of semiconductor optoelectronics ( recently quantum wells and quantum dots), magneto-optics, ultrafast laser spectroscopy, integrated and fiber optics, information processing, and photovoltaics. The research involves theoretical and experimental physics as well as applications.
Chairman of the Subject Board: prof. RNDr. Petr Malý,
DrSc.
Department of Chemical Physics and Optics
Ke Karlovu 3
121 16
Prague
tel.: +420 221 911 260
e-mail: petr.maly@mff.cuni.cz
Geophysics is a wide, world-wide recognized and rapidly evolving scientific branch studying physical phenomena inside the Earth and surrounding space, such as earthquakes, plate motions, mantle convection, magneto-hydrodynamics of the core, etc. Reletions to global change, natural disaster reduction and sustainable development are abundant. Our doctoral study is oriented mainly on regional and global ( planetary) parameters and processes. Students are being prepared for their carrier in basic research, with emphasis on physical and mathematical aspects, i.e., theoretical modelling, numerical simulations and inverse problems. They can specialize in seismology ( physics of earthquakes and seismic wave propagation), geodynamics ( convection, stress field) figure of the Earth, or electromagnetic field.
Chairman of the Subject Board: Doc. RNDr. Oldřich Novotný,
CSc.
Department of Geophysics
V Holešovičkách 2
180 00 Prague
tel.:
+420 221 912 536
e-mail: oldrich.novotny@mff.cuni.cz
Research in this study branch isdevoted to following particular topics in meteorology research:Atmospheric dynamics, thermodynamics, energetics and circulation, numerical weather prediction methods, limited area models, atmospheric predictability, fractals and chaos in meteorology as well as in climatology: Climate system dynamics, climate variability and changes, climate modelling, regional climate models, climate change scenarios, air pollution problems, modelling of air pollution spreading in the atmosphere, stratospheric, tropospheric and surface ozone. The study also includes the problems of applied meteorology and climatology.
Chairman of the Subject Board: doc. RNDr. Jaroslava Kalvová,
CSc.
Department of Metereology and Environment Protection
V Holešovičkách
2
180 00 Prague
tel.: +420 221 912 537
e-mail: jaroslava.kalvova@mff.cuni.cz
The study field covers both theoretical and experimental investigations of the fundamental properties and structure of matter at the sub-atomic level. The theoretical study includes: Perturbative and non-perturbative methods of relativistic quantum field theory, standard model of interactions of elementary particles – theory of electroweak interactions and quantum chromodynamics, phenomenology of hadron interactions and alternatives to the standard model, grand unification and string theories. On the other hand, the experimental research is devoted to: Testing the standard model, search for the deviations, exploration of the structure and interactions of sub-atomic particles using large accelerator facilities and complex detection systems, and special electronics for data acquisition.
Chairman of the Subject Board: Prof. RNDr. Jiří Hořejší,
DrSc.
The Institute of Particle and Nuclear Physics
V Holešovičkách
2
180 00 Prague
tel.: +420 221 912 452
e-mail: jiri.horejsi@mff.cuni.cz
The branch covers experimental and theoretical studies of the properties of atomic nuclei, nuclear reactions and transformations. The main thematic areas are: Nuclear structure and spectroscopy. single-particle and collective motions, effective forces, pairing, dynamic symmetry, de-excitation of excited states, fundamental interactions, sub-nuclear degrees of freedom, relativistic effects, responses to electromagnetic excitations, particle probes,. mechanisms of nuclear reactions, spin effects, collisions of heavy ions, and nuclear matter at extreme energies and densities. The research also include new experimental techniques (acceleration, detection, spectroscopy) and other applications.
Chairman of Subject Board : Prof. RNDr. Jan Kvasil,
DrSc.
The Institute of Particle and Nuclear Physics
V Holešovičkách
2
180 00 Prague
tel.: +420 221 912 471
e-mail: jan.kvasil@mff.cuni.cz
The study is oriented to the mathematical modelling in science and technology with emphasis on nonlinear physics and mathematics, in particular on dissipative systems, non-equilibrium thermodynamics, stability theory, nonlinear functional analysis, methods of modern algebra, and optimisation techniques. Further, it is concerned with methods and techniques of both classical and modern computational physics realized on various computers ranging from PCs to parallel supercomputers and clusters. We can mention fluid and particle modelling of physical systems, image analysis, computations of physical properties of solids and plasmas, etc. The field of the study also involves applications, methodology, and didactics of the subject.
Chairman of Subject Board: prof. RNDr. R. Hrach,
DrSc.
Department of Electronics and Vacuum Physics
V Holešovičkách
2
180 00 Prague
tel.: +420 221 912 328
e-mail: rudolf.hrach@mff.cuni.cz
The study branch covers education of physics as well as philosophy, history and methodology of physics. The research concerning the physics education is connected with actual problems of teaching both on the high school and university level, e.g., the use of computers and web communication in teaching, inquiry to the effectiveness of the teaching process, construction of experimental devices for demonstration of different physical phenomena or standard experimental work in various branches of physics with the presentation of results in the form accenting the educational aspects. The thesis devoted to philosophy and history of science are supposed to give adeep insight in the physics involved;
Successful research in these fields assumes a good background in physics together with a good knowledge of languages.
Chairman of Subject Board: doc. RNDr. J. Langer, CSc.
The
Institute of Theoretical Physics
V Holešovičkách 2
180 00 Prague
tel.:
+420 221 912 502
e-mail: jiri.langer@mff.cuni.cz
Chairman of Subject Board for the study programme
Physics
doc. RNDr. Zdeněk Němeček,
DrSc.
katedra elektroniky a vakuové fyziky
V Holešovičkách 2, 18200 Praha
8
tel.: +420 / 221 912 300, 301
e-mail: zdenek.nemecek@mff.cuni.cz
Chairman of Subject Board for the study programme
Mathematics
prof. RNDr. Vladimír Souček,
DrSc.
Matematický ústav UK
Sokolovská 83, 180 00 Praha 8
tel.: +420 /
221 913 205
e-mail: vladimir.soucek@mff.cuni.cz
Chairman of Subject Board for the study programme
Information Science
doc. RNDr. Antonín Kučera,
CSc.
katedra teoretické informatiky a matematické logiky
Malostranské nám.
25, 118 00 Praha 1
tel.: +420 / 221 914 244
e-mail: antonin.kucera@mff.cuni.cz