Johann Bauer
- PhD Mathematics, City, University of London
- johann.bauer at city.ac.uk
My research is on the mathematical foundations of artificial intelligence and machine learning, where I focus on learning in networks of interacting agents. I approach this question from the perspectives of evolutionary game theory, dynamic systems, and Markov chains, in order to obtain convergence and optimality proofs for learning algorithms.
It is motivated by the question of how animal brains learn through neural plasticity and how this could inform the training of artificial neural networks. In particular, I am interested in the mathematical (and computational) properties that enable learning.
Interests. Evolutionary game theory, stability analysis of dynamic systems, reinforcement learning, Markov decision processes, Markov chains, and optimization; more recently, also probabilistic graphical models.
My further interests concern the fundamentals of mathematics (mathematical logic, formal systems and languages, computability), the philosophy of mathematics, the philosophy of mind and of language, and economics.
Publications
- The stabilization of equilibria in evolutionary game dynamics through mutation: mutation limits in evolutionary games, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 475(2231). J. Bauer, M. Broom and E. Alonso.
- The effect of network topology on optimal exploration strategies and the evolution of cooperation in a mobile population, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 475(2230). I.V. Erovenko, J. Bauer, M. Broom, K. Pattni and J. Rychtář.
- Does voter polarisation induce party extremism? The moderating role of abstention, West European Politics, 42(4). P. Dreyer and J. Bauer.
Education
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Mathematics, PhD, City, University of London. 2021.
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Mathematics, Diplom (MSc+BSc equiv.), University of Konstanz, Germany. 2017. Concentration: Optimization, Functional Analysis, Logic and Model theory. (Minor: Philosophy.)
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Economics, BA, University of St. Gallen, Switzerland. 2012. Concentration: Microeconomics, Equilibrium Theory, Quantitative Methods. (Minor: International Affairs.)