# Study Programmes and Branches of Doctoral Studies

## Academic Year 2020/2021

- Algebra, number theory, and mathematical logic
- Atmospheric physics, meteorology and climatology
- Biophysics, chemical and macromolecular physics
- Computational linguistics
- Computational mathematics
- Computer Science - Software Systems
- Computer Science - Theory of Computing, Discrete Models and Optimization
- Computer Science - Visual computing and computer games
- General Questions of Mathematics and Computer Science
- Geometry, topology, and global analysis
- Mathematical Analysis
- Mathematical and computer modeling
- Particle and Nuclear Physics
- Physics Education and General Problems of Physics
- Physics of Condensed Matter and Materials Research
- Physics of nanostructures and nanomaterials
- Physics of Plasmas and Ionized Media
- Physics of Surfaces and Interfaces
- Physics of the Earth and Planets
- Probability and statistics, econometrics and financial mathematics
- Probability and statistics, econometrics and financial mathematics
- Quantum Optics and Optoelectronics
- Quantum Optics and Optoelectronics
- Theoretical Computer Science and Artificial Intelligence
- Theoretical Physics, Astronomy and Astrophysics

## Study Programme *Algebra, number theory, and
mathematical logic*

*Form of study:* full-time, combined

*Possible acceptance without taking the entrance examination, for
requirements see Admission
procedure*.

*Outline of study:* The study program Algebra, number theory and
mathematical logic offers students an advanced education in a selected area. The
education allows the program graduates to follow contemporary research. It
teaches them basics of independent scientific work and how to approach various
abstract problems.The programme does not contain specializations.

*Details of study:*

## Study Programme *Atmospheric physics, meteorology and
climatology*

*Form of study:* full-time, combined

*Possible acceptance without taking the entrance examination, for
requirements see Admission
procedure*.

*Outline of study:* The study program focuses on the physical nature
of a wide range of atmospheric phenomena and processes, which, however, also
have interdisciplinary application in atmospheric chemistry, oceanology,
physical geography, environmental sciences, etc. It is a unique program at the
Charles University which provides a comprehensive view of the dynamic system of
the Earth's atmosphere in a broad interdisciplinary context. Even within the
Czech Republic it is the only program offering education in of atmospheric
physics, meteorology and climatology. From a methodological point of view, a wide range of theoretical, experimental and computer physics applications are
used interactively and complementarily.The programme does not contain
specializations.

*Details of study:*

## Study Programme *Biophysics, chemical and
macromolecular physics*

*Form of study:* full-time, combined

*Possible acceptance without taking the entrance examination, for
requirements see Admission
procedure*.

*Outline of study:* The program is based on an interdisciplinary
education at the interface of physics, chemistry and biology from the physical
point of view and focused on physical experimental and theoretical approaches.
The program prepares experts for independent scientific work in solving tasks of
basic and applied research in the interdisciplinary fields between physics,
chemistry and, according to the theme of dissertation work, biology.The
programme does not contain specializations.

*Details of study:*

## Study Programme *Computational linguistics*

*Form of study:* full-time, combined

**for
requirements see Admission
procedure**

*Outline of study:* Computational linguistics is an interdisciplinary
scientific field involving mathematics (including topics such as discrete
mathematics, statistics and probability), computer science (e.g.
algorithmization, machine learning, artificial intelligence) and classical
linguistics (e.g. morphology, syntax, language typology). Computational
linguistics investigates language from a formal point of view, and it aims at
developing methods that could be used in software applications in the field of
Natural Language Processing, in which languages in their spoken or written form
are handled. The programme does not contain specializations.

*Details of study:*

## Study Programme *Computational mathematics*

*Form of study:* full-time, combined

**for
requirements see Admission
procedure**

*Outline of study:* The study programme provides advanced theoretical
and practical knowledge of the computational mathematics, which deals with
solution of mathematical problems describing phenomena in natural, technical and
social sciences. The study is focused on the understanding of problems in a wider context. The study includes the theoretical aspects of the methods of the
computational mathematics as well as a computer solution of the mathematical
tasks motivated by practical problems. The students are prepared for development
of the field itself as well as to employ the achieved knowledge in solving
mathematical problems in natural and applied sciences.The programme does not
contain specializations.

*Details of study:*

## Study Programme *Computer Science - Software Systems
*

*Form of study:* full-time, combined

**for
requirements see Admission
procedure**

*Outline of study:* The program addresses open topics in software
system analysis, development and application. In both theoretical and practical
terms, it has foundations in the research of software architectures, programming
languages and notations, together with tools and methods for software analysis
and construction. These are studied both in general terms and in the context of
important software system classes such as the information systems, or the
distributed or parallel systems. On the creative side, the program combines
projects of basic and applied research, often with strong experimental aspects,
with outputs including research prototypes alongside traditional
publications.The programme does not contain specializations.

*Details of study:*

## Study Programme *Computer Science - Theory of
Computing, Discrete Models and Optimization*

*Form of study:* full-time, combined

**for
requirements see Admission
procedure**

*Outline of study:* The program aims at providing the graduate with
knowledge and research experience in a wide range of fields in discrete
mathematics and theoretical computer science, based both on contemporary
theoretical trends and on applications in physics, biology and other branches of
science. The graduate gains knowledge and experience necessary to contribute to
the research and development on international level and is ready to take a leading role in shaping the trends in these fields.The programme does not
contain specializations.

*Details of study:*

## Study Programme *Computer Science - Visual computing
and computer games*

*Form of study:* full-time, combined

**for
requirements see Admission
procedure**

*Outline of study:* The program focuses on the education of graduates
prepared to solve research problems in the sub-area of computer science
related to the generation and processing of visual information (computer
graphics, image analysis, machine vision) and/or computer games development. The
primary means of education is independent research, publication and presentation
of research results, as well as their eventual transfer to the industry through
student internships. The creative activity within the program focuses on
developing new or improving existing mathematical methods, algorithms and
technologies dealing with computer processing of visual information and with
computer games. The program reflects the growing demand for advanced
technologies and builds on the exceptional expertise of MFF UK and UTIA ASCR in
these research areas. Graduates can be employed in academia, public research
institutions, and private companies.The programme does not contain
specializations.

*Details of study:*

## Study Programme *General Questions of Mathematics and
Computer Science *

*Form of study:* full-time, combined

**for
requirements see Admission
procedure**

*Outline of study:* The doctoral program primarily aims at graduates
from teacher preparation programs in mathematics and computer science, enabling
them to deepen their knowledge from master's programs, and take part in ongoing
research. The program focuses on elementary mathematics and computer science,
their history, as well as teaching. In elementary mathematics and computer
science, the emphasis is placed on topics that connect and extend both
high-school and university curricula. In history, attention is paid especially
to the 19th and 20th centuries, Czech mathematics and computer science. History
is also closely related to problems of teaching, as the progress of science
depends on the transfer of knowledge from teachers to students, which is
supported by textbooks.The programme does not contain specializations.

*Details of study:*

## Study Programme *Geometry, topology, and global
analysis *

*Form of study:* full-time, combined

**for
requirements see Admission
procedure**

*Outline of study:* The program Geometry, topology, and global
analysis offers to students a broad and deep knowledge in the selected areas.
The aim is to train the students to be able to learn and use new scientific
achievements, mathematical methods and theories, independently develop and apply
them, and present the results at international conferences and meetings. The
program prepares students to pursue an academic career at universities,
scientific institutes, and also in companies and firms having applied research
and development branches.The programme does not contain specializations.

*Details of study:*

## Study Programme *Mathematical Analysis*

*Form of study:* full-time, combined

**for
requirements see Admission
procedure**

*Outline of study:* The study field of mathematical analysis is
focused on the studium of basic and advanced parts of mathematical analysis. It
is a subdiscipline of mathematics whose primary goal is the description of
natural or social processes which involve certain form of a dynamic progress,
mostly a motion or a change. The basic priciples of mathematical analysis
consist of all forms of limiting processes. The top education in mathematical
analysis consists of the ability to solve differential equations of all
types.The programme does not contain specializations.

*Details of study:*

## Study Programme *Mathematical and computer
modeling*

*Form of study:* full-time, combined

**for
requirements see Admission
procedure**

*Outline of study:* It is an interdisciplinary study programme which
connects classical physics (particularly continuum mechanics and thermodynamics)
with mathematical analysis and numerical mathematics. The student should go
through the construction or understanding of the physical model, its
mathematical analysis up to its numerical solution. Due to the complexity of
problems studied both in the research and in the praxis a closed colaboration
among specialist from different areas is needed. Typically, the physicists and
engineers contruct the models and mathematicians study the mathematical
properties of the models and solve the models numerically. These specialists
often use different languages to describe the same problem. The graduates of
this programme should be able to communicate with all of them and are therefore
prepared to lead such groups. Moreover, they should also be prepared to solve
simpler problems by themselves: from the construction of the model through its
analysis up to its numerical solution.The programme does not contain
specializations.

*Details of study:*

## Study Programme *Particle and Nuclear Physics*

*Form of study:* full-time, combined

**for
requirements see Admission
procedure**

*Outline of study:* Study within this programme is based on teaching
the theoretical and experimental aspects of nuclear or particle physics,
supported by detailed understanding of quantum mechanics, quantum field theory
and phenomenology of nuclear and subnuclear processes. Particular emphasis is
placed on mastering relevant theoretical computational methods and
familiarization of the data acquisition and analysis, including effective
control of information technology. Students should employ and develop these
skills in their own scientific work, which is an important part of the doctoral
programme.The programme does not contain specializations.

*Details of study:*

## Study Programme *Physics Education and General Problems
of Physics*

*Form of study:* full-time, combined

**for
requirements see Admission
procedure**

*Outline of study:* The study program is focused on the problematic of
didactics of physics and general problems of physics. It stems from scientific
disciplines such as physics, didactics of physics, pedagogy and psychology. The
main goal is to provide students with a complex overview of didactics of
physics, teach them independent scientific practice in this field and allow for
a deeper understanding of some parts of physics. This programme naturally
follows the master’s programme Physics Education for Secondary Schools which,
out of the whole Charles University, can be studied solely at the Faculty of
Mathematics and Physics. It is therefore natural that this faculty also has a doctorate program focused on didactics of physics and general problems of
physics. This study programme is unique by being the only one at our university
to offer doctorate level studies in the field of didactics of physics. The
programme does not contain specializations.

*Details of study:*

## Study Programme *Physics of Condensed Matter and
Materials Research*

*Form of study:* full-time, combined

**for
requirements see Admission
procedure**

*Outline of study:* The aim of this program is to provide students
with advanced experimental and theoretical knowledge and skills covering the
full spectrum of condensed matter physics and material research and prepare them
for the active and creative use of acquired knowledge in the modern directions
of basic research and relevant applications.The programme does not contain
specializations.

*Details of study:*

## Study Programme *Physics of nanostructures and
nanomaterials*

*Form of study:* full-time, combined

**for
requirements see Admission
procedure**

*Outline of study:* The goal of the doctoral study program (DSP) is to
educate excellent experts in the physics of nanostructures and nanomaterials
suited for future carrier in basic and applied research in nanotechnologies. The
main pillars of the DSP are the theoretical and experimental condensed matter
physics and physics of surfaces, advanced experimental and theoretical methods
for studying the nanostructures, and smart technologies for preparation of
nanostructures and nanomaterials. The DSP is of highly interdisciplinary nature
and fits to the cutting-edge topics of current physical and material sciences
like spintronics, nanoelectronics, nanomedicine and quantum computing. It is the
only DSP in the Faculty of mathematics and physics, which integrates various
areas of physics and materials research with outreach to chemistry, biology and
medicine. In coherence with the tradition of the education in the Faculty of
mathematics and physics, the ultimate goal of the education in the DSP is to
provide deep theoretical background for understanding the key physical
principles and phenomena underlying the unique properties of nanostructures and
nanomaterials.The programme does not contain specializations.

*Details of study:*

## Study Programme *Physics of Plasmas and Ionized
Media*

*Form of study:* full-time, combined

**for
requirements see Admission
procedure**

*Outline of study:* The study program covers all aspects of plasma
physics and with extensions to theoretical physics (elementary processes) and to
some topics of astrophysics (interplanetary space plasma, dust / ice cloud
problems in the solar system) and nuclear fusion. Studies include also
borderline disciplines such as plasma chemistry, plasma interaction with solid
surface and complex plasma. The program prepares professionals with a broad
foundation in mathematics, physics, and computer modeling of physical processes
and with deep knowledge of plasma physics.The programme does not contain
specializations.

*Details of study:*

## Study Programme *Physics of Surfaces and
Interfaces*

*Form of study:* full-time, combined

**for
requirements see Admission
procedure**

*Outline of study:* The study program provides advanced teoretical and
practical knowledges in the area of surface science, physics of interfaces and
thin film physics, areas supporting contemporary nanotechnology. It includes
study of surface processess and structures at atomic scale using a number of
various experimental techniques for surface imaging and analysis. The study
covers also borderline disciplines related to surface chemistry (surface
catalysis,electrochemistry, on-surface synthesis). The program prepares
professionals with a broad foundation in mathematics and physics and with a deep
knowledge in the area of surface science and physics of thin films.The programme
does not contain specializations.

*Details of study:*

## Study Programme *Physics of the Earth and
Planets*

*Form of study:* full-time, combined

**for
requirements see Admission
procedure**

*Outline of study:* The program provides advanced theoretical
knowledge of the physics of the Earth and planetary bodies and trains students
in theoretical and numerical solutions of the forward and inverse problems. The
graduate is able to carry out independent scientific research focused on the
physical processes in the Earth, planets and satelites. He/she can pursue career
in the research institutions focused on Earth and planetary evolution, but also
in the industrial research focused on the issue of continuum mechanics.The
programme does not contain specializations.

*Details of study:*

## Study Programme *Probability and statistics,
econometrics and financial mathematics*

*Form of study:* combined

**for
requirements see Admission
procedure**

*Outline of study:* The programme is based on mathematical background,
which involves probability theory, stochastic processes, mathematical and
computational statistics, optimization, econometrics, operational research,
financial and insurance mathematics. The connected creative work is represented
especially by the basic mathematical research, and partly by applications, e.g.
in finance and insurance. The doctoral students enhance their knowledge in
advanced courses and seminars, according to their individual study plans. Under
the supervision of their advisor they provide research work in a given topic and
publish their results and presents them at scientific conferences. The study
branch will prepare experts who can become successors of faculty professors,
others will profit from their mathematical thought in practice.The programme
does not contain specializations.

*Details of study:*

## Study Programme *Probability and statistics,
econometrics and financial mathematics *

*Form of study:* full-time

**for
requirements see Admission
procedure**

*Outline of study:* The programme is based on mathematical background,
which involves probability theory, stochastic processes, mathematical and
computational statistics, optimization, econometrics, operational research,
financial and insurance mathematics. The connected creative work is represented
especially by the basic mathematical research, and partly by applications, e.g.
in finance and insurance. The doctoral students enhance their knowledge in
advanced courses and seminars, according to their individual study plans. Under
the supervision of their advisor they provide research work in a given topic and
publish their results and presents them at scientific conferences. The study
branch will prepare experts who can become successors of faculty professors,
others will profit from their mathematical thought in practice.The programme
does not contain specializations.

*Details of study:*

## Study Programme *Quantum Optics and
Optoelectronics*

*Form of study:* full-time

**for
requirements see Admission
procedure**

*Outline of study:* The students of the branch of study will have
acquired comprehensive knowledge and skills required for conducting independent
research and other scientific activities in quantum optics and optoelectronics.
In accord with individual study plans students concentrate on the topic of their
thesis. They can find employment in both fundamental and applied research at
universities, research institutes, and in industry. The progress in application
of optics in numerous research areas (physics, biology, chemistry, medicine,
communications, and robotics) leads to an increase in the range of employment
possibilities.The programme does not contain specializations.

*Prospects for graduates:* The graduate in this branch of study has a sound theoretical and experimental knowledge of quantum optics and
optoelectronics. He/she is able to conduct an independent scientific research
and present the obtained results at conferences and in journal publications. The
graduates can find employment in both fundamental and applied research at
universities, research institutes, and in industry.

*Details of study:*

## Study Programme *Quantum Optics and Optoelectronics
*

*Form of study:* combined

**for
requirements see Admission
procedure**

*Outline of study:* The students of the branch of study will have
acquired comprehensive knowledge and skills required for conducting independent
research and other scientific activities in quantum optics and optoelectronics.
In accord with individual study plans students concentrate on the topic of their
thesis. They can find employment in both fundamental and applied research at
universities, research institutes, and in industry. The progress in application
of optics in numerous research areas (physics, biology, chemistry, medicine,
communications, and robotics) leads to an increase in the range of employment
possibilities.The programme does not contain specializations

*Details of study:*

## Study Programme *Theoretical Computer Science and
Artificial Intelligence*

*Form of study:* full-time, combined

**for
requirements see Admission
procedure**

*Outline of study:* The program prepares experts for research and
development in the areas of Theoretical Computer Science and Artificial
Intelligence. Education is implemented by doing independent research under the
supervision of senior experts. In addition to obtaining foundations in Computer
Science, the students acquire deep knowledge in a chosen specialization area
such as: algorithms and data structures and their analysis, knowledge
representation and reasoning, cognitive sciences and their applications, machine
learning, multi-agent systems, problem modeling (e.g., in automated planning or
decision making) and problem solving using logical, probabilistic, and
nature-inspired methods. Students learn how to formulate research goals, prepare
a project proposal to achieve the set goals, and present the results in the
international environment. Further, they gain experience teaching and mentoring
students including thesis supervision.The programme does not contain
specializations.

*Details of study:*

## Study Programme *Theoretical Physics, Astronomy and
Astrophysics*

*Form of study:* full-time, combined

**for
requirements see Admission
procedure**

*Outline of study:* The programme offers a training in theoretical
physics, astronomy and astrophysics. The graduate acquires a wide range of
theoretical knowledge and practical experience in solving difficult physical
problems. A graduate of astronomy gains also experimental skills, all graduates
manage a variety of numerical and computer methods. In addition to mathematical
methods, graduates also get a physical intuition that is extremely important in
scientific research and for the solution of unexpected technical obstacles and
problems.The programme does not contain specializations.

*Details of study:*