Albeverio is the son of Olivetta Albeverio Brighenti (1910–1968) and Luigi (Gino) Albeverio (1905–1968). He grew up in Lugano, Switzerland. He is married to Solvejg Albeverio Manzoni (painter and writer) since 1970. They have a daughter, Mielikki Albeverio (dipl. socialsc.).
Study of mathematics and physics at the ETH Zürich with a Diploma Thesis (1962) under the direction of Markus Fierz and David Ruelle, and a PhD Thesis (1966) under the direction of Res Jost and Markus Fierz.
Assistant at ETH Zürich (1962–67), visiting lecturer at Imperial College (1967–68, R. F. Streater). Invitation by Irving Segal as co-worker (MIT, 1968–69), replaced by a year stay as teacher at Liceo Cantonale, Lugano, due to family reasons.
2003: Prize for Interdisciplinary Project, University of Bonn
2015: Director (with A. B. Cruzeiro and D. Holm) of the Research Semester on Geometric Mechanics, Variational and Stochastic Methods at Centre Interfacultaire Bernoulli (CIB), EPFL
Over 250 invited lectures at international conferences in Mathematics, Physics and applications, including:
2000: Lectures at Saint-Flour on the occasion of the 30th anniversary of the Saint-Flour Lectures in Probability
2005: Plenary lecture for the conference on the occasion of K. Itô's 90th birthday, Oslo
Plenary lectures at symposia/conferences in honor of: G. Da Prato (1996), G. F. Dell'Antonio (2003 and 2013), L. Gross (2010), E. Balslev (2010), F. Guerra (2013), H. Holden (2016), D. Holm (2017)
Selected publications
Over 900 publications in scientific journals or volumes of proceedings.[5]
Monographs
with Raphael Høegh-Krohn: Mathematical theory of Feynman Path Integrals, Lecture Notes in Mathematics, Band 523, Springer Verlag 1976, 2nd ed. (with Raphael Høegh-Krohn and Sonia Mazzucchi) 2008
with Raphael Høegh-Krohn, Jens Erik Fenstad, Tom Lindstrøm: Nonstandard Methods in stochastic analysis and mathematical physics, Academic Press 1986, Dover 2009 Russian translation by A. K. Svonskin, M. A. Shubin, Moscow: Mir (1990)
with Fritz Gesztesy, Raphael Høegh-Krohn, Helge Holden: Solvable Models in Quantum Mechanics, Springer 1988, 2nd ed., American Mathematical Society Chelsea Publishing, 2005 Russian translation by Yu. A. Kuperin, K. A. Makarov, V. A. Geilerk, Moscow: Mir (1990)
with Raphael Høegh-Krohn, J. Marion, D. Testard, B. Torresani: Noncommutative distributions: unitary representations of gauge groups and algebras, Marcel Dekker 1993
with Jürgen Jost, Sylvie Paycha, Sergio Scarlatti: A mathematical introduction to String Theory. Variational Problems, Geometric and Probabilistic Methods, Cambridge University Press 1997
with Pavel Kurasov: Singular perturbations of differential operators. Solvable Schrödinger type operators, London Mathematical Society Lecturenotes, Cambridge University Press 2000
with Franco Flandoli, Yakov G. Sinai, edited by Giuseppe Da Prato and Michael Röckner: SPDEs in hydrodynamics: recent progress and prospects. Lectures given at the C.I.M.E. Summer School held in Cetraro, 29 August –3 September 2005. Lecture notes in mathematics, 1942. Berlin: Springer, Florence: Fondazione C.I.M.E. 2008
with Yuri Kondratiev, Yuri Kozitsky, Michael Röckner: The statistical mechanics of quantum lattice systems. A path integral approach. EMS Tracts in Mathematics 8, Zürich: European Mathematical Society 2009
with R.-Z. Fan, F. S. Herzberg: Hyperfinite Dirichlet forms and stochastic processes, Berlin: Springer 2010
with A. Khrennikov, V. Shelkovich: Theory of p-adic distributions: linear and nonlinear models, Cambridge University Press 2010
with L. Gross and E. Nelson: Mathematical Physics at Saint-Flour, Berlin: Springer 2012. (Reprint of Saint-Flour Lecture in 2000, first published in S. Albeverio, W. Schachermayer, M. Talagrand: Lectures in Probability and Statistics. Lectures from the 30th Summer School in Probability Theory held in Saint-Flour, 2000. Berlin: Springer 2003)
Edited books (selection)
with M. Demuth, E. Schrohe, B.-W. Schulze: Parabolicity, Volterra calculus, and conical singularities. A volume of advances in partial differential equations. Operator Theory: Advances and Applications 138, Basel: Birkhäuser (2002)
with M. Demuth, E. Schrohe, B.-W. Schulze: Nonlinear hyperbolic equations, spectral theory, and wavelet transformations. Operator Theory: Advances and Applications 145, Basel: Birkäuser (2003)
with Z.-M. Ma, M. Röckner: Recent Developments in Stochastic Analysis and Related Topics. Proceedings of the first Sino-German conference on stochastic analysis, Beijing, China, 29 August – 3 September 2002, World Scientific (2004)
with A. B. de Monvel, H. Ouerdiane: Proceedings of the International Conference on Stochastic Analysis and Applications. Hammamet, 22–27 October 2001. Dordrecht: Kluwer Academ. Publ. (2004)
with F. De Martini and G. F. Dell'Antonio: Entanglement and decoherence: mathematics and physics of quantum information and computation. Oberwolfach Rep. 2 (1), pp. 185–255 (2005) (EMS Publ.)
with V. Jentsch, H. Kantz: Extreme events in nature and society. Berlin: Springer (2006)
with F. Minazzi: Foundations of Mathematics today. Note di Matematica, Storia, Cultura, PRISTEMStoria 14/15 (2006)
with A. Vancheri, P. Giordano, D. Andrey: The Dynamics of the Complex Urban Systems: An interdisciplinary approach. Heidelberg: Springer (2007)
with M. Marcolli, S. Paycha, J. Plazas: Traces in Geometry, Number Theory, and Quantum Fields. Wiesbaden: Vieweg (2008)
with S.-M. Fei, A. Cabello, N.-H. Jing, D. Goswami: Quantum Information and Entanglement. Advances in Mathematical Physics 2010 (2010)
with Ph. Blanchard: Direction of Time. Berlin: Springer (2016)
References
^ abGesztesy, Fritz; Holden, Helge; Jost, Jürgen; Paycha, Sylvie; Röckner, Michael; Scarlatti, Sergio (2000). Stochastic Processes, Physics and Geometry: New Interplays. I: A Volume in Honor of Sergio Albeverio. Providence, Rhode Island: CMS/AMS. ISBN978-0-8218-1959-3.{{cite book}}: CS1 maint: multiple names: authors list (link)
