Curriculum Vitae
Dr. Michael Kraus
Max-Planck-Institut für Plasmaphysik
Division for Numerical Methods in Plasma Physics
Boltzmannstraße 2, 85748 Garching, Germany
eMail: michael.kraus@ipp.mpg.de
ORCID: 0000-0001-7637-3979
Updated: 9th March 2023
Research Interests
Numerical Methods for Fluids and Plasmas
Structure Preserving Discretisation Methods
Reduced Compexity Modelling
Scientific Machine Learning
Geometric Mechanics and Field Theory
Symmetries and Conservation Laws
Research Software Engineering
Scientific Computing with Julia
Current Positions
since 01.2022: Leader of ANR/DFG International Project Team
"MILK: MachIne Learning for reduced Kinetic models"since 04.2021: Research Group Leader
"Geometric Numerical Integration and Reduced Complexity Modelling"
Division for Numerical Methods in Plasma Physics, Max Planck Institute for Plasma Physics, Garching, Germany
Previous Positions
10.2018 - 09.2021: Leader of IGSSE International Project Team
"GEMKIN: Geometric Methods for Kinetic Equations"
International Graduate School of Science and Engineering, Technische Universität München, Germany04.2017 - 03.2021: Research Associate
Division for Numerical Methods in Plasma Physics, Max Planck Institute for Plasma Physics, Garching, Germany04.2016 – 03.2017: Visiting Assistant Professor (Marie Skłodowska-Curie Fellow)
School of Science and Engineering, Waseda University, Japan04.2013 – 03.2016: Postdoctoral Research Fellow
Division for Numerical Methods in Plasma Physics, Max Planck Institute for Plasma Physics, Garching, Germany03.2010 – 03.2013: Doctoral Student
Tokamak Theory Division, Max Planck Institute for Plasma Physics, Garching, Germany
Grants and Honours
ANR-DFG Research Grant, 2021
Research Grant, International Graduate School of Science and Engineering, Technische Universität München, 2018
Marie Skłodowska-Curie Individual Fellowship, 2016
Otto Hahn Medal of the Max Planck Society, 2014
PhD awarded with highest distinction (summa cum laude), 2013
Memberships
since 2018: Member of the “Helmholtz Incubator”, a think tank of the Helmholtz Society that develops and guides the society’s information and data science research programme and its digitalisation strategy
since 2016: Member of the Research Network “Discretisation in Geometry and Dynamics” (SFB/Transregio 109 of Technische Universität Berlin and Technische Universität München, funded by the Deutsche Forschungsgemeinschaft e.V. (DFG))
Education and Qualification
03.2010 - 07.2013: Technische Universität München, Zentrum Mathematik
Doctoral Studies: Numerical Methods in Plasma Physics
Awarded Degree: Doctor of Science (summa cum laude)10.2007 - 01.2010: Technische Universität München, Physics Department
Major subject: Physics
Minor subject: Scientific Computing
Awarded Degree: Diploma in Physics04.2004 - 09.2007: Friedrich-Schiller-Universität Jena
Major subject: Physics
Minor subject: Computer Science
Teaching
Spring 2020: Julia Tutorial @ Home Office,
Numerical Methods in Plasma Physics, IPP GarchingWinter 2017/18: Geometric Numerical Integration,
Zentrum Mathematik, Technische Universität MünchenWinter 2016/17: Geometric Numerical Integration II,
School of Science and Engineering, Waseda UniversitySummer 2016: Geometric Numerical Integration I,
School of Science and Engineering, Waseda UniversityWinter 2015/16: Geometric Numerical Integration of Ordinary Differential Equations,
Zentrum Mathematik, Technische Universität MünchenSummer 2015: Short Course on Geometric Numerical Integration of Ordinary Differential Equations,
School of Science and Engineering, Waseda UniversityWinter 2011/12: Computational Physics Lab Course,
Physics Department, Technische Universität München
Mentoring
since 01.2023: Nigel Bruce Khan
Master Computational Science and Engineering, Technische Universität München10.2021 - 09.2022: Paul Nemec
Master Physics, Technische Universität Münchensince 10.2020: Benedikt Brantner
Doctor Mathematics, Technische Universität Münchensince 11.2019: Tobias Blickhan
Doctor Mathematics, Technische Universität München10.2018 - 10.2020: Nicolas Legouy
Doctor Mathematics, Technische Universität München10.2018 - 09.2019: Tobias Blickhan
Master Physics, Technische Universität München10.2017 - 09.2019: Alexander Frank
Master Physics, Technische Universität München04.2017 - 09.2018: Marco Orts
Master Mathematical Physics, Technische Universität München04.2016 - 03.2017: Momose Hiroki
Master Engineering/Applied Mathematics, Waseda University01.2016 - 12.2019: Camilla Bressan
Doctor Mathematics, Technische Universität München10.2014 - 09.2015: Wolfgang Styn
Master Mathematics, Technische Universität München02.2014 - 10.2017: Jakob Ameres
Doctor Mathematics, Technische Universität München
Invited Talks
07.2023: CEMRACS Summer School on Scientific Machine Learning, CIRM, Marseille
Structure-preserving Reduced Complexity Modelling06.2023: Foundations of Computational Mathematics (FoCM 2023), Paris
Structure-preserving Reduced Complexity Modelling04.2023: 22nd IACM Computational Fluids Conference (CFC 2023), Cannes
Geometric Discontinuous Galerkin Methods for Fluids and Plasmas02.2023: SIAM Conference on Computational Science and Engineering (SIAM CSE 2023), Amsterdam
Geometric Discontinuous Galerkin Methods for Fluids and Plasmas11.2022: Numerical Methods for the Kinetic Equations of Plasma Physics (NumKin 2022), Garching
Structure-preserving Reduced Complexity Modelling03.2021: Oberwolfach Workshop on Geometric Numerical Integration, Mathematisches Forschungsinstitut Oberwolfach
Geometric Integration of Degenerate Lagrangian Systems06.2021: Geometric Algorithms and Methods in Physics (Flash GAMP 2021, held virtually)
Degenerate Variational Integrators: Variations on a Motif07.2021: Conference on Geometric Science of Information (GSI 2021), Paris
Metriplectic Integrators for Dissipative Fluids06.2020: Foundations of Computational Mathematics, Vancouver (held virtually)
Hamilton–Pontryagin–Galerkin Integrators02.2020: Structure-preserving Geometric Discretization of Physical Systems, Princeton
Geometric Integration of Degenerate Lagrangian Systems10.2019: Numerical Methods for the Kinetic Equations of Plasma Physics (NumKin 2019), Garching
Geometric Discontinuous Galerkin Methods for Fluids and Plasmas10.2019: European Conference on Numerical Mathematics and Advanced Applications (EnuMath 2019), Egmond aan Zee
Geometric Discontinuous Galerkin Methods for Fluids and Plasmas07.2019: International Conference on Scientific Computation and Differential Equations (SciCADE 2019), Innsbruck
Geometric Discontinuous Galerkin Methods for Fluids and Plasmas07.2019: International Congress on Industrial and Applied Mathematics, Valencia
Discontinuous Galerkin Variational Integrators08.2018: Hamiltonian systems, from topology to applications through analysis, MSRI, Berkeley, Introduction to Numerical Algorithms for Hamiltonian Systems
11.2017: Collisionless Boltzmann Equation and Modeling of Self-Gravitating Systems and Plasmas
Discontinuous Galerkin Variational Integrators10.2017: Numerical Methods for the Kinetic Equations of Plasma Physics (NumKin 2017)
Metriplectic Integrators for the Landau Collision Operator09.2017: International Conference on Numerical Simulation of Plasmas (ICNSP 2017)
GEMPIC: Geometric ElectroMagnetic Particle-In-Cell Methods for the Vlasov-Maxwell System10.2016: New Developments in Algorithms and Verification of Gyrokinetic Simulations
GEMPIC: Geometric ElectroMagnetic Particle-In-Cell Methods for the Vlasov-Maxwell System09.2016: Geometric Algorithms and Methods for Plasma Physics (GAMPP 2016)
On Degenerate Lagrangians, Noncanonical Hamiltonians and Dirac Constraints and their Discretization10.2015: Numerical Methods for the Kinetic Equations of Plasma Physics (NumKin 2015)
Geometric Particle-in-Cell Methods for the Vlasov-Maxwell System10.2015: European Fusion Theory Conference (EFTC 2015)
Towards Geometric Particle-in-Cell Methods for Gyrokinetics05.2014: Geometric Algorithms and Methods for Plasma Physics (GAMPP 2014)
New Developments in Variational Integrators for Plasma Physics09.2013: Numerical Methods for the Kinetic Equations of Plasma Physics (NumKin 2013)
Variational Integrators for the Vlasov-Poisson System10.2012: 4th Summer School on Numerical Modelling for Fusion
Variational Integrators in Plasma Physics10.2009: ADAS Workshop 2009
*Interfacing ADAS with TRANSP/NUBEAM"
Contributed Talks
07.2022: International Conference on Scientific Computation And Differential Equations (SciCADE 2022), Reykjavík
Structure-preserving Reduced Complexity Modelling09.2017: Scientific Computation and Differential Equations (SciCADE 2017)
Hamilton–Pontryagin–Galerkin Integrators04.2017: Numerical Modeling of Kinetic Magnetized Plasmas (KineMa 2017)
Discontinuous Galerkin Variational Integrators for Degenerate Lagrangians11.2016: 58th Annual Meeting of the APS Division of Plasma Physics (APS-DPP 2016)
Variational Integrators for Ideal and Reduced Magnetohydrodynamics09.2015: Scientific Computation And Differential Equations (SciCADE 2015)
Variational Integrators for Nonvariational PDEs09.2015: Numerical Solution of Differential and Differential-Algebraic Equations (NUMDIFF-14)
Geometric Integration of Degenerate Lagrangian Systems07.2014: 11th World Congress on Computational Mechanics
Variational Integrators for Nonvariational PDEs07.2014: Journées de Dynamique Non Linéaire
Variational Integrators for Nonvariational PDEs06.2014: Annual Meeting of the Max-Planck-Society
Variational Integrators in Plasma Physics (Poster)11.2013: Theory and Applications of the Vlasov Equation (Vlasovia 2013)
Variational Integrators for the Vlasov-Poisson System10.2013: 41st Meeting of Numerical Simulation Research Project
Variational Integrators in Plasma Physics05.2012: 25th Meeting of Numerical Simulation Research Project
Structure Preserving Discretisation of Kinetic Equations
Seminars
09.2022: Fachbereich Mathematik, Universität Tübingen, Germany
Structure-preserving Reduced Complexity Modelling09.2020: Numerical Methods in Plasma Physics, IPP Garching
Slow Manifold Preserving Integration of the Pauli Particle06.2019: Numerical Methods in Plasma Physics, IPP Garching
Mathematical Structures in Magnetohydrodynamics03.2018: Department of Materials, ETH Zürich
On the Structure-Preserving Discretisation of Poisson and Metriplectic Brackets with Applications in Plasma Physics01.2017: Department of Applied Mathematics and Physics, Tottori University
Variational Integrators for Nonvariational PDEs01.2017: Department of Applied Mathematics and Physics, Tottori University
Structure Preserving Discretisation of Brackets11.2016: Princeton Plasma Physics Laboratory, Princeton University
On Degenerate Lagrangians, Noncanonical Hamiltonians and Dirac Constraints and their Discretization11.2016: Courant Institute, New York University
GEMPIC: Geometric ElectroMagnetic Particle-In-Cell Methods for the Vlasov-Maxwell System10.2016: University of California, San Diego
Variational Integrators for Nonvariational PDEs09.2016: Numerical Methods in Plasma Physics, IPP Garching
Discontinuous Galerkin Variational Integrators05.2015: Yoshimura Lab, Waseda University, Tokyo
Geometric Integration of Degenerate Lagrangian Systems09.2014: Numerical Methods in Plasma Physics, IPP Garching
Euler-Poincaré Reduction: e pluribus unum05.2014: National Institute for Fusion Science, Toki
Variational Integrators for Plasma Physics05.2014: Theoretical Plasma Physics Laboratory, Nagoya University
Variational Integrators for Plasma Physics05.2014: Yoshimura Lab, Waseda University, Tokyo
Unconventional Variational Integrators and their Application in Plasma Physics04.2014: Colloquium of SFB/TRR 109 Discretization in Geometry and Dynamics
Variational Integrators for Plasma Physics10.2013: Facultat de Matemàtiques i Estadística de la Universitat Politècnica de Catalunya, Barcelona
Variational Integrators in Plasma Physics08.2013: Princeton Plasma Physics Laboratory, Princeton University
Variational Integrators in Plasma Physics, Part I Fundamentals08.2013: Princeton Plasma Physics Laboratory, Princeton University
Variational Integrators in Plasma Physics, Part II Applications05.2013: Centre de Physique Théorique de l'Université de Marseille
Geometric Disretisation in Plasma Physics01.2013: Centre de Physique Théorique de l'Université de Marseille
Variational Integrators in Plasma Physics05.2012: Hatayama Lab, Keio University, Yokohama
Variational Integrators in Plasma Physics04.2012: National Institute for Fusion Science, Toki
Structure Preserving Discretisation of Kinetic and Gyrokinetic Equations
Research Stays
05.09. - 06.09.2022: Fachbereich Mathematik, Universität Tübingen, Germany
31.03. - 01.04.2022: Institut de Recherche Mathématique Avancée, Strasbourg, France
29.07. - 04.09.2019: School of Science and Engineering, Waseda University, Tokyo, Japan
08.08. - 31.08.2018: School of Science and Engineering, Waseda University, Tokyo, Japan
20.03. - 22.03.2018: Department of Materials, ETH Zürich, Switzerland
23.01. - 25.01.2017: Department of Applied Mathematics and Physics, Tottori University, Japan
14.11. - 22.11.2016: Princeton Plasma Physics Laboratory, Princeton University, USA
07.11. - 11.11.2016: Courant Institute of Mathematical Sciences, New York University, USA
26.10. - 28.10.2016: University of California, San Diego, USA
25.05. - 09.06.2015: School of Science and Engineering, Waseda University, Tokyo, Japan
13.04. - 16.04.2015: School of Science and Engineering, Waseda University, Tokyo, Japan
28.07. - 01.08.2014: School of Science and Engineering, Waseda University, Tokyo, Japan
07.07. - 11.07.2014: Centre de Physique Théorique de l'Université de Marseille, France
16.06. - 02.07.2014: Princeton Plasma Physics Laboratory, Princeton University, USA
26.05. - 30.05.2014: National Insitute for Fusion Science, Toki, Japan
12.05. - 23.05.2014: University of Science and Technology of China, Hefei, China
07.05. - 09.05.2014: School of Science and Engineering, Waseda University, Tokyo, Japan
14.10. - 18.10.2013: Facultat de Matemàtiques i Estadística de la Universitat Politècnica de Catalunya, Barcelona, Spain
30.09. - 04.10.2013: National Insitute for Fusion Science, Toki, Japan
31.07. - 29.08.2013: Princeton Plasma Physics Laboratory, Princeton University, USA
13.05. - 17.05.2013: Centre de Physique Théorique de l'Université de Marseille, France
29.01. - 31.01.2013: Centre de Physique Théorique de l'Université de Marseille, France
23.04. - 01.06.2012: National Insitute for Fusion Science, Toki, Japan
08.06. - 03.07.2009: Princeton Plasma Physics Laboratory, Princeton University, USA