

1966  Dr. rer. nat., ETH Zürich, Switzerland (supervisor: R. Jost)  1962  1971  Assistant Professor, Lecturer, Research Fellow: ETH Zürich (Switzerland), Imperial College London (England, UK), Princeton University (NJ, USA)  1972  1977  Professor (Marseille, Oslo and Naples)  1977  1979  Professor (H3), University of Bielefeld  1979  1997  Professor (H4), University of Bochum  1997  2008  Professor (H4/C4), University of Bonn  Since 2008  Professor Emeritus   Longer research and teaching positions at many universities (Europe, China, Japan, Mexico, Russia, USA) 


Areas:
Probability theory (stochastic processes, SPDE), analysis (infinite dimensional, nonstandard), mathematical physics (statistical mechanics, quantum mechanics, quantum fields, quantum computation), differential geometry, topology, noncommutative geometry, spectral theory, dynamical systems, number theory, representation theory, algebra, statistics. Applications in biology, economics, engineering, physics, and urbanism.
Main aim:
New interactions between different areas of mathematics and sciences.
Some highlights:
Creation of mathematical theories of Feynman path integrals and infinite dimensional Dirichlet forms, development of nonstandard analytic methods, new methods of handling singular systems. Among the worldwide most cited mathematicians (Science Watch, 2002). Over 750 publications in scientific journals, 9 research monographs, 30 proceedings books.


11 exchange projects (DFG)
INTAS (EU; Leader)
EU Research Training Network
Bonn University Prize
Member of SFB 611
Currently: 4 A. v. Humboldt fellows
Scientific Board of various institutions (in CH, CZ, I, S, UK)


Research Area C (until 10/2012) Major developments include: construction of quantum fields and rigorous Feynman path integrals, study of spectral theory of multi particle systems (proof of Efimov effect), singular perturbations. Breakthroughs in quantum anharmonic crystals and in quantum wave guides shrinking to graphs. Contributions to padic analysis, noncommutative normed algebras and derivations.
New research plans include: Feynman path integrals in geometric contexts (manifolds, gauge fields, discrete geometric spaces; link invariants from the asymptotics of ChernSimons functional integrals); spectral theory of quantum mechanical operators, quantum graphs theory, trace formulae and number theory; structure theory of operator algebras.  Research Area G Major developments include: quantum statistical mechanics on lattices, phase transitions; nonequilibrium statistical mechanics; asymptotics of probabilistic path integrals with applications in neurobiology; probabilistic methods for 3D NavierStokes; blow up phenomena in hyperbolic systems; study of SPDE'S with non Lipschitz coefficients.
New research plans include: stochastic processes on singular structures (thin networks, fractals) random media; asymptotics of SPDEs with strongly growing coefficients (small noise, invariant measures...), with applications in neurobiology; infinite dimensional probabilistic integrals with degenerate phase functions and applications (physics, finance); stochastic analysis methods in representation theory of infinite dimensional groups; probabilistic construction of quantum fields; stochastic processes and pseudodifferential operators on discrete metric spaces.  Former Research Area L Major developments include: characterization of entanglement of quantum states; study of stochastic dynamics and ergodic theory with applications to neurobiological networks; continuous state space stochastic cellular automatic in urban dynamics.
New research plans include: ergodic theory, structure theory of singular measures; quantum computation from topological quantum fields models; new relations between entanglement measures and theory of algebraic invariants; characterization of quantum algorithms; complexity theory, neural networks, statistical mechanics.  Research Area H (until 10/2012) Major developments include: inclusion of economic features into models of urban development; incorporation of equity linked life insurance contracts in interacting assets model; Lévy processes in financial markets, empirical processes and large markets.
New research plans include: voltarget portfolio management; study of models with affine structure; study of models integrating macroeconomic features into microeconomic evolution. 


[ 1] Sergio Albeverio, Zdzislaw Brzeźniak, JiangLun Wu
Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with nonLipschitz coefficients J. Math. Anal. Appl. , 371: (1): 309322 2010 DOI: 10.1016/j.jmaa.2010.05.039[ 2] S. Albeverio, A. Yu. Khrennikov, V. M. Shelkovich
Theory of padic distributions: linear and nonlinear models of London Mathematical Society Lecture Note Series : xvi+351 Publisher: Cambridge University Press, Cambridge 2010 ISBN: 9780521148566 DOI: 10.1017/CBO9781139107167[ 3] S. Albeverio, Sh. A. Ayupov, R. Z. Abdullaev
Arens spaces associated with von Neumann algebras and normal states Positivity , 14: (1): 105121 2010 DOI: 10.1007/s1111700900085[ 4] Sergio Albeverio, Sonia Mazzucchi
Infinite dimensional oscillatory integrals with polynomial phase function and the trace formula for the heat semigroup Astérisque (327): 1745 (2010) 2009 ISBN: 9782856292884[5] S. Albeverio, V. Steblovskaya, K. Wallbaum
Valuation of equitylinked life insurance contracts using a model with interacting assets Stoch. Anal. Appl. , 27: (5): 10771095 2009 DOI: 10.1080/07362990902844462 [ 6] Sergio Albeverio, Alexander K. Motovilov, Andrei A. Shkalikov
Bounds on variation of spectral subspaces under Jselfadjoint perturbations Integral Equations Operator Theory , 64: (4): 455486 2009 DOI: 10.1007/s0002000917021[ 7] Sergio Albeverio, Yuri Kondratiev, Yuri Kozitsky, Michael Röckner
The statistical mechanics of quantum lattice systems A path integral approach of EMS Tracts in Mathematics : xiv+379 Publisher: European Mathematical Society (EMS), Zürich 2009 ISBN: 9783037190708 DOI: 10.4171/070[ 8] Sergio Albeverio, Oleksandr Baranovskyi, Mykola Pratsiovytyi, Grygoriy Torbin
The Ostrogradsky series and related Cantorlike sets Acta Arith. , 130: (3): 215230 2007 DOI: 10.4064/aa13032[ 9] Sergio Albeverio, Claudio Cacciapuoti, Domenico Finco
Coupling in the singular limit of thin quantum waveguides J. Math. Phys. , 48: (3): 032103, 21 2007 DOI: 10.1063/1.2710197[ 10] Sergio Albeverio, Christof Cebulla
Müntz formula and zero free regions for the Riemann zeta function Bull. Sci. Math. , 131: (1): 1238 2007 DOI: 10.1016/j.bulsci.2006.03.002



16 journals/book series, a.a.:
• Akademie Verlag
• Expositiones Mathematicae
• IDAQP
• Reviews of Mathematical Physics
• Rep. Math. Phys.
• PAdic Numbers, Ultrametric Analysis, and Applications
• Math. Physics, Analysis and Geometry
• Adv. Math. Phys.
• Encyclopedia of Mathematics (Springer)
• Encyclopedia of Mathematical Physics (Elsevier) Scholarpedia
• Cognitive Processing


1993  Max Planck Research Award  2002  Doctor honoris causa, Oslo University, Norway (Bicentennial of N.H. Abel) 


 Plenary lecturer at over 230 international meetings, including:  1977  International Congress on Mathematical Physics, Rome, Italy  1983  International Congress on Mathematical Physics, Boulder, CO, USA  1986  International Congress on Mathematical Physics, Marseille, France  1988  International Congress on Mathematical Physics, Swansea, Wales, UK  2000  St. Flour, France  2003  International Congress on Mathematical Physics, Organization of Session, Lisbon, Portugal  2005  Abel Symp., Oslo, Norway  2010  L. Gross Symp., Cornell, NY, USA  2010  E. Balslev Symp., Aarhus, Denmark 


1988  Chair of Mathematics, per chiara fama, Roma University II, Italy 



Werner Kirsch (1981): “Über Spektren stochastischer Schrödingeroperatoren”,
now Professor, Fernuniversität Hagen (University of Hagen)
Michael Röckner (1984): “A Dirichlet Problem for Distributions and the Construction of Specifications for Gaussian Generalized Random Fields”,
now Professor, University of Bielefeld
Sylvie Paycha (1988): “Probability measures in infinite dimensional manifolds and Polyakov strings”,
now Professor, University of Potsdam
Koichiro Iwata (1990): “On Linear Maps Preserving Markov Properties and Applications to Multicomponent Generalized Random Fields”,
now Professor, Hiroshima University, Japan
Hanno Gottschalk (1999): “Green's Functions for Scattering in Local, Relativistic Quantum Field Theory”,
now Professor, University of Wuppertal
Eva Lütkebohmert (2004): “Finite dimensional realizations for Heath, Jarrow and Morton type forward rate models with jumps and an asymptotic expansion for the BlackScholes model with generalized volatility”,
now Professor, University of Freiburg
Frederik Herzberg (2005): “PathDependent Utility Functions and Nonstandard Analysis”,
now Junior Professor, University of Bielefeld


 Diplom theses: 110
 PhD theses: 42


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