Study Programmes and Branches of Doctoral Studies

Academic Year 2020/2021


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.

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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.

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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.

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Study Programme Computational linguistics

Form of study: full-time, combined

Possible acceptance without taking the entrance examination, 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.

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Study Programme Computational mathematics

Form of study: full-time, combined

Possible acceptance without taking the entrance examination, 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

Possible acceptance without taking the entrance examination, 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.

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

Form of study: full-time, combined

Possible acceptance without taking the entrance examination, 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.

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Study Programme Computer Science - Visual computing and computer games

Form of study: full-time, combined

Possible acceptance without taking the entrance examination, 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

Possible acceptance without taking the entrance examination, 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.

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Study Programme Geometry, topology, and global analysis

Form of study: full-time, combined

Possible acceptance without taking the entrance examination, 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

Possible acceptance without taking the entrance examination, 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.

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Study Programme Mathematical and computer modeling

Form of study: full-time, combined

Possible acceptance without taking the entrance examination, 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.

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Study Programme Particle and Nuclear Physics

Form of study: full-time, combined

Possible acceptance without taking the entrance examination, 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.

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Study Programme Physics Education and General Problems of Physics

Form of study: full-time, combined

Possible acceptance without taking the entrance examination, 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.

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Study Programme Physics of Condensed Matter and Materials Research

Form of study: full-time, combined

Possible acceptance without taking the entrance examination, 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.

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Study Programme Physics of nanostructures and nanomaterials

Form of study: full-time, combined

Possible acceptance without taking the entrance examination, 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.

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Study Programme Physics of Plasmas and Ionized Media

Form of study: full-time, combined

Possible acceptance without taking the entrance examination, 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.

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Study Programme Physics of Surfaces and Interfaces

Form of study: full-time, combined

Possible acceptance without taking the entrance examination, 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.

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Study Programme Physics of the Earth and Planets

Form of study: full-time, combined

Possible acceptance without taking the entrance examination, 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.

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Study Programme Probability and statistics, econometrics and financial mathematics

Form of study: combined

Possible acceptance without taking the entrance examination, 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.

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Study Programme Probability and statistics, econometrics and financial mathematics

Form of study: full-time

Possible acceptance without taking the entrance examination, 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

Possible acceptance without taking the entrance examination, 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.

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Study Programme Quantum Optics and Optoelectronics

Form of study: combined

Possible acceptance without taking the entrance examination, 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

Possible acceptance without taking the entrance examination, 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.

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Study Programme Theoretical Physics, Astronomy and Astrophysics

Form of study: full-time, combined

Possible acceptance without taking the entrance examination, 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.

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