Sergio Albeverio#
Membership Number: | 5853 |
Membership type: | ORDINARY |
Section: | MATHEMATICS |
Affiliated section(s): | PHYSICS & ENGINEERING SCIENCES |
Elected: | 2021 |
Main Country of Residence: | GERMANY |
Homepage(s): | https://wt.iam.uni-bonn.de/albeverio/home/ |
Present and Previous Positions
- 2008 Professor Emeritus
- Since 1997 Full Professor (H4/C4), Institute for Applied Mathematics, University of Bonn, Germany
- Since 2002 Founding Member of the Hausdorff Center for Mathematics (DFG-Cluster of Excellence), University of Bonn, Germany (Associate Member since 2020)
- 2002 - 2010 Professor "per chiara fama" (part time) and Director of Research Projects (Mathematics and Neurobiology), University of Trento, Italy
- 1996 - 2009 Professor, Accademia di Architettura, USI, Mendrisio, Switzerland
- 1979 - 1997 Professor (H4/C4), Ruhr-University Bochum (Chair for Probability and Mathematical Physics)
- 1977 - 1979 Professor (H3), University of Bielefeld
- 1976 - 1977 Visiting Professor, University of Aix-Marseille II (Luminy)
- 1973 - 1977 Visiting Professor, University of Oslo
- 1973 - 1974 Visiting Professor, University of Naples
- 1967 - 1972 Research Fellowships: Imperial College, London (1967–1968); ETH Zürich (1969); Princeton University (1970 - 1972)
- 1962 - 1967 Assistant, ETH Zürich
Fields of Scholarship
- Topology (configuration spaces, knot theory, functional spaces, L²-Betti numbers)
- Philosophy (epistemology), cultural and societal issues
- Singular perturbation theory of differential operators (e. g. Schrödinger operators), asymptotic analysis
- Filter theory, optimal control (deterministic and stochastic), optimization theory
- Partial differential equations
- Analysis (real and complex infinite dimensional, functional, non-standard, p-adic and non-Archimedean)
- Algebra (Leibniz algebras, quasi-Lie-algebras, representation theory, braid groups, infinite dimen-sional algebras and groups)
- Functional integration
- Information theory and mathematical statistics
- Probability theory
- Mathematical physics (classical and quantum)
- Applications of mathematics in physics, architecture, biology, earth sciences, economics, engineer-ing, social sciences, urbanism
- Dynamical systems, ergodic theory, fractal analysis
- Pseudodifferential operators, generalized processes, random fields, point processes
- Operator algebras (C*, von Neumann algebras), spectral theory
- Number theory
Honours and Awards
- 2019 Conference in Honor of S. Albeverio for his 80th birthday, Verona (publications in preparation)
- 2018 Doctor honoris causa, University of Stockholm
- 2015 Director (with A. B. Cruzeiro and D. Holm) of Research Semester on Geometric Mechanics, Variational and Stochastic Methods, Centre Interfacultaire Bernoulli (CIB), École Polytechnique Fédérale (Lausanne)
- 2011 - 2015 Excellence Chair Professorship in Mathematics, KFUPM (Dhahran)
- 2005 Plenary lecture for the 90th birthday of K. Itô, University of Oslo
- 2003 Prize for an interdisciplinary collaboration project on Extreme Events, University of Bonn
- 2002 - 2010 Long-term Professorship (part time) “per chiara fama”, University of Trento, and Research Leader of Project “Neurostochastics”
- Since 2002 Listed in International Statistics Institute (ISI) (Thomson) “Highly Cited Researchers”
- 2002 Doctor honoris causa, University of Oslo (on the bicentennial of the birth of Niels H. Abel)
- 2000 St. Flour Lecture (on the 30th anniversary of St. Flour Probability Lectures)
- 2000 Conference in Honor of S. Albeverio for his 60th birthday, Max-Planck-Institute for Mathe-matics in the Sciences (Leipzig, 2 volumes of Proceedings on Stochastic Processes, Physics and Ge-ometry)
- 1999 Plenary lecture at Wiener Memorial Symposium, East Lansing
- 1998 Nomination for Professorship “per chiara fama”, University of Rome II (Tor Vergata)
- 1995 Solomon Lefshetz Memorial Lecture, AMS and Mexican Math. Society, Mexico City
- 1992 Max-Planck-Award in Mathematics (with. Z. M. Ma and M. Röckner)
- 1988 Plenary lecture at the International Congress of the Association of Mathematical Physics (ICMP), Swansea; likewise in 1986 (Marseille), 1983 (Boulder), 1981 (Berlin), 1977 (Rome)
- Over 250 invited lectures at international conferences in mathematics, physics, and applications, and over 30 invited lectures on other areas of culture