The Graduate Centre Mathematics/Computer Science and Natural Sciences has excellent graduate programmes (called classes). These graduate programmes are part of the Faculty for Mathematics and Computer Science, the Faculty of Physics and Earth Science, the Faculty for Chemistry and Mineralogy, and the Max Planck Institute for Mathematics in the Sciences (MPI MIS).
The graduate programmes also maintain ties with several research institutes in Leipzig. Thus, doctoral researchers at these institutions are integrated into the Graduate Centre. These institutes are the Helmholtz Centre for Environmental Research Leipzig-Halle (UFZ), the Leibniz Institutes of Surface Modification (IOM), for Tropospheric Research (IfT) and the Institute for Non-classical Chemistry (INC).
Much of the interdisciplinary research in mathematics, theoretical physics, and computer science focuses on structural problems that arise from physical and biological issues. Interdisciplinary research in physics and chemistry covers nano- and micro-dimensional semiconductors and the development of new material. Another focus of the Graduate Centre is self-organization methods for organic and inorganic structures, biomimetic systems, and also other living material.
Currently, there are around 200 doctoral researchers enrolled in the Graduate Centre, of which 27 % are international students. Approximately 100 university professors and lecturers are involved in the training and advising of programme participants. Disciplinary training of doctoral researchers takes place in the classes. In addition, there is a general, overarching programme that offers additional educational options (e.g. language courses and key skills training), so as to support interdisciplinary exchange.
Classes of the Graduate Centre Mathematics / Computer Science and Natural Sciences
German-French Graduate College "Statistical Physics of Complex Systems"
The statistical physics of complex systems is a very broad field ranging from the study of quantum phenomena to the conformational behaviour of biomolecules. The field requires employing a variety of theoretical methods. The joint graduate college brings together the expertise of scientists from Nancy-University in analytical theory with Leipzig’s longstanding expertise in sophisticated computer simulation studies. Thus, the college affords young scientists unique educational opportunities in this important field.
The emphasis of the school is on fostering close collaboration between doctoral researchers in Leipzig and Nancy. To this end, extended visits from the students of each partner university, a joint seminar programme taking place by turns in Leipzig and Nancy, joint supervision by scientists in Leipzig and Nancy, and a final degree from both universities are all integral parts of the graduate college. Bi-national grants provide an additional excellent background for further collaboration with internationally renowned scientists in e.g. Ukraine, Russia, and Poland. Funding from the CNRS in France and the Alexander von Humboldt Foundation in Germany make possible this joint educational opportunity.
Graduate School "Building with Molecules and Nano-objects"
The Graduate School "Leipzig School of Natural Sciences – Building with Molecules and Nano-objects (BuildMoNa)" focuses on interdisciplinary graduate education through synergistic research within the framework of the Research Academy Leipzig. Our materials research concept is based on a "bottom-up" approach. Progressive building blocks, such as nano-objects, smart molecules, polymeric scaffolds, and active proteins, are combined – preferentially by self-organization – to create fundamentally new classes of materials that are inspired by active, adaptive living matter and are environmentally friendly, highly efficient, low-cost devices serving multifunctional purposes for a steadily more diversified modern society. The paradigm shift from uniform bulk materials towards nanostructured multifunctional materials that emerge from combinations of smart molecules, proteins, and nano-objects is essential for future knowledge transfer from fundamental to applied sciences.
Integrated Research Training Group "Polymers: Random Coils and Beyond"
The integrated Research Training Group (iRTG) is a DFG-funded Research Training Group run jointly at the Martin-Luther University Halle-Wittenberg and Leipzig University. Its purpose is to provide a learning environment for doctoral students, aiding them in their personal development towards becoming active scientists. It brings together international and interdisciplinary working doctoral students of 16 different research groups, a faculty of 20+ professors, senior scientists, researchers and post-docs working in the collaborative research program SFB/TRR 102 funded by the German Research Foundation (DFG). It also integrates interested doctoral students from outside of the SFB whose thesis topic is related to the theme of the SFB.
International Max Planck Research School "Mathematics in the Sciences"
The International Max Planck Research School “Mathematics in the Sciences” (IMPRS MIS), supported by the Research Academy Leipzig is a joint activity of three departments at Leipzig University – Institute of Mathematics, Institute of Computer Sciences, and the Institute of Physics and Earth Science – and the Max Planck Institute for Mathematics in the Sciences. It involves a broad range of mathematical fields, including geometry, partial differential equations and functional analysis, stochastic processes, and discrete mathematics. Specific subject areas are:
- Partial Differential Equations, Calculus of Variations and Material Sciences
- Numerical Analysis and Scientific Computing
- Riemannian and Symplectic Geometry and Hamiltonian Systems
- Quantum Field Theory, Particle Physics
- Geometric and Functional Analytic Methods in Mathematical Physics
- Stochastic Processes, Many Particle Systems
- Complex Systems in Evolutionary Processes and Neurobiology
The scientific programme offered by the IMPRS MIS is focused on interdisciplinary research and educating doctoral researchers.
Leipzig Graduate School "Clouds, Aerosols and Radiation: Mineral Dust"
Tropospheric particles play an important role in many scientific areas of inquiry, including but not limited to: air quality, chemical processing of atmospheric gases and aerosols, formation of clouds, precipitation, and climate change. The corresponding processes are highly complex and require expertise in several fields such as solid-state physics, fluid dynamics, electromagnetic field theory, meteorology, organic chemistry, and heterogeneous chemistry. Together with Leipzig University partners and the Leibniz Institute for Tropospheric Research, the Graduate College focuses on a specific scientific problem, i.e. an improved understanding of physical and chemical processes in the field of clouds, aerosols and their radiation properties. Thus this programme class offers doctoral researchers a unique interdisciplinary teaching and research environment in which to develop as scientists.
Research Training Group "Quantitative Logics and Automata"
The aim of this research-training group is to investigate quantitative logics and automata as well as the connection between the two in a thorough and complete manner, using methods from theoretical computer science. As possible applications, we consider problems such as verification, knowledge representation, and processing of tree-structured data.
The structured qualification and supervision plan aims at providing doctoral researchers with as much freedom as possible for conducting independent research work by providing them with optimal preparatory training and support in their research activities. In addition to the weekly research seminar, the curriculum includes reading groups, a summer school in the first year of every cohort, advanced lectures, and an annual workshop. In addition, doctoral researchers participate in soft skills training offered by participating universities.