- Mathematical modelling of learning and decision-making in biological and artificial systems.
- Information-theoretic analysis of systems with limited processing capacity.
- Evolution of modularity, abstraction, and hierarchical structures in complex systems.
- Uncertainty in artificial decision-making systems, e.g. neural networks.
- Gottwald S., Braun D.A., Systems of bounded rational agents with information-theoretic constraints, 2018, Neural Computation 31, 2, p.440-476, MIT Press (arXiv)
- Schach S., Gottwald S., Braun D.A., Quantifying Motor Task Performance by Bounded Rational Decision Theory, 2018, Frontiers in Neuroscience 12, www.frontiersin.org
- Hihn H., Gottwald S., Braun D.A., Bounded Rational Decision-Making with Adaptive Neural Network Priors, 2018, Artificial Neural Networks in Pattern Recognition, Springer (arXiv)
- Gottwald S., Two-term spectral asymptotics for the Dirichlet pseudo-relativistic kinetic energy operator on a bounded domain, 2018, Annales Henri Poincaré 19(12), Springer (arXiv)
- Post-Doctoral Researcher, 2016 - present
Institute of Neural Information Processing, Ulm University
Doing research in information theory and machine learning. Supervising an interdisciplinary team of PhD students.
- Teaching Assistant, 2013 - 2016
Faculty of Mathematics, Informatics and Statistics, LMU Munich
Organizing exercise and tutorial groups, creating exams and exercise sheets, hiring and supervising tutors, and substituting lecturers for various lectures (see teaching experience).
- Student Assistant, 2007 - 2013
Department of Mathematics and Faculty of Physics, LMU Munich
Tutoring lower semester students; correcting exams and exercise sheets; writing lecture notes.
- Dr.rer.nat (Mathematics, LMU Munich), 2013 - 2016
- M.Sc. (Mathematics and Theoretical Physics, LMU and TU Munich), 2010 - 2013
- B.Sc. (Physics, LMU Munich), 2006 - 2010
- Fellow of the Richard-Winter scholarship, 2010 – 2013
- Selected to enter the elite graduate program Theoretical and Mathematical Physics at the LMU and TU Munich, 2010
- Fellow of the e-fellows.net online scholarship and career network, 2006 – present
- Ferry Porsche Prize "for outstanding performance in Mathematics and Physics", 2005
- 2nd prize at Jugend forscht, 2000 (German youth science competition)
- Institute of Neural Information Processesing, Ulm University, 2016 - present
Supervising a team of interdisciplinary PhD students.
- Department of Mathematics, LMU Munich, 2013 - 2016
Teaching undergraduate and graduate mathematics and informatics students in the following courses as a teaching assistant:
- Functional Analysis, Prof. Thomas Østergaard Sørensen PhD, Summer 2016
- Functional Analysis II, Prof. Thomas Østergaard Sørensen PhD, Winter 2015/2016
- Functional Analysis, Prof. Martin Fraas PhD, Summer 2015
- Functional Analysis II, Prof. Thomas Østergaard Sørensen PhD, Winter 2014/15
- Functional Analysis, Prof. Dr. Peter Müller, Summer 2014
- Analysis for Computer Scientists and Statisticians, Prof. Dr. Peter Otte, Winter 2013/2014
- Topology and Differential Calculus in Several Variables, Prof. Dr. Merkl, Summer 2013
- Faculties of Physics, Mathematics, Informatics, and Statistics, LMU Munich, 2007 - 2012
Tutor and marker as a working student for the following lectures:
- Mathematical Quantum Mechanics, Prof. László Erdös, PhD, Winter 2012
- Measure and Integration Theory, Dr. Ralf Gerkmann, Summer 2012
- Functional Analysis II, Prof. Thomas Østergaard Sørensen PhD, Winter 2011
- Mathematics II for Natural Scientists, PD Dr. Doris Jakubassa-Amundsen, Summer 2011
- Linear Algebra, Prof. Dr. Peter Pickl, Summer 2011
- Mathematics I for Natural Scientists, PD Dr. Doris Jakubassa-Amundsen, Winter 2010
- Mathematics II for Natural Scientists, PD Dr. Doris Jakubassa-Amundsen, Summer 2010
- Classical Mechanics, Prof. Dr. Jan von Delft, Summer 2009
- Quantum Mechanics, Prof. Dr. Stefan Kehrein, Winter 2007
- Faculty of Physics, LMU Munich, 2006-2008
Shared lecture notes partly written as a working student: