is to be measured by the objects he pursues
Marcus Aurelius
I am a senior CNRS research scientist and staff member at the Institute Denis Poisson, University of Tours. My educational background is in mathematical physics (effective and quantum field theories) and discrete mathematics (graph theory, combinatorics and number theory). After a decade-long detour through the often abysmal realms of theoretical neuroscience, my research targets now exclusively the field of discrete effinite mathematics, its applications and philosophical implications, with current projects focusing on subjects in finite graph theory and classical number theory. Fuelled by a lifelong burning passion, my primary goal lies here in the humble attempt to understand physical reality from an inherently finite discrete perspective, and to rigorously argue in support of this uncompromising philosophical stance.
Current Research Projects and Interests
development of a coherent conceptual and mathematical framework (operator graph theory) that combines the static notion of a classical graph with the inherently dynamic nature of operator theory
application of operator graph theory in the rigorous description of finite random graph models and the characterisation of finite graph models that describe real-world phenomena
exploration of a small selection of classical number-theoretical problems (Collatz and Waring conjecture, Gauss's circle problem, Riemann hypothesis) from a discrete mathematical vantage point and q-calculus
inspection of the possibility for a dynamical quantum theory of space and time based on von Staudt's projective geometrical construction of discrete coordinate spaces
exploration of non-perturbative aspects in quantum field theories, in particular the summation of quantum corrections as an alternative to the Higgs mechanism
formulation of a viable framework that embeds quantum-theoretical aspects into our understanding of self-awareness and consciousness beyond Kant
exploration of computational paradigms beyond Turing
Education
1994 |
M.Sc. in Physics, University of Leipzig (Leipzig, Germany), magna cum laude thesis title: Formulation of QED in Terms of Gauge Invariant Quantities (PDF, in German) |
1998 |
Ph.D. in Theoretical Physics, University of Leipzig (Leipzig, Germany), magna cum laude thesis title: Investigation of Quantum Field Theories in Terms of Local Gauge Invariants (PDF, in German) |
Academic Positions
1998-1999 | postdoctoral research associate in mathematical physics, Institute for Theoretical Physics, University of Leipzig, Germany |
2000 | postdoctoral fellow in computational neuroscience (NIH grant), Laval University, Quebec, Canada |
2001-2002 | chercheur associé (poste rouge) in computational neuroscience, UNIC, CNRS, France |
2003-2004 | post-doc in computational neuroscience (HFSP grant), UNIC, CNRS, France |
2004-2021 | chargé de recherche de première classe (CR1, senior research position), UNIC, CNRS, France |
since 2021 | chargé de recherche de première classe (CR1, senior research position), Institute Denis Poisson, CNRS/University of Tours, France |