Prof. Dr. Nihat Ay
Max Planck Institute for
Mathematics in the Sciences Inselstrasse 22 04103 Leipzig Germany



Research interests:
Complexity and information theory
Mathematical theory of learning in neural networks and cognitive systems
Graphical models (Bayesian networks) and their application to causality theory
Information geometry and its applications to complexity and network robustness
Geometric structure in quantum theory (noncommutative state spaces)

Short Curriculum Vitae
I studied mathematics and physics at the Ruhr University
Bochum and received my Ph.D. in mathematics from the
University of Leipzig in 2001. In 2003 and 2004, I was a
postdoctoral fellow at the Santa Fe Institute and at the
Redwood Neuroscience Institute (now the Redwood Center for
Theoretical Neuroscience at UC Berkeley). After my
postdoctoral stay in the USA I became an assistant
professor (wissenschaftlicher Assistent) at the
Mathematical Institute of the Friedrich Alexander
University in Erlangen. Since September 2005, I work as Max
Planck Resarch Group Leader at the Max Planck Institute
for Mathematics in the Sciences in Leipzig where I am
heading the group Information Theory of Cognitive Systems.
As external professor of the Santa Fe Institute I am
involved in research on complexity and robustness theory.
From September 2009 to November 2013, I was associate
professor (Privatdozent) for mathematics at the University
of Leipzig. Since December 2013, I am affiliated with the
university as Honorary Professor.
