e-mail: yurii.neretin@univie.ac.at

Homepage: http://www.mat.univie.ac.at/~neretin

ORCID: 0000-0002-6467-6849

MathSciNet ID/210026

List of publications on ZentralBlatt

Positions:

Moscow State Institute of electronics and mathematics (MIEM), Assistant professor 1983-1989; Associated professor 1989-1992; Full professor 1992 -- 2001

Independent University of Moscow, 1991-2001

Max-Plank-Institute-fur Mathematik, Bonn; 1995-1996,

Institute for Theoretical and Experimental Physics, Moscow. 03.2001-11.2021

Erwin Schroedinger Institute for Mathematical Physics, principal fellowship, 2001--2003

Faculty of mathematics, University of Vienna, 2003--2006

Faculty of mathematics, University of Vienna, FWF grants P19064, P22122, P25142, P28421, P31591, 2006--2024.

Wolfgang Pauli Institute grant FWF, P28421, 2019-2020

Fields of interest. Mathematics: infinite dimensional groups, representation theory, noncommutative harmonic analysis, symmetric spaces, stochastic processes, special functions, linear operators, mathematical physics, history of mathematics.

Education: Faculty of Mechanics and Mathematics, Moscow State University, student 1975-1980, postgraduate student 1980-1983, ( Chair of Function theory and Functional analysis, scientific adviser: A.A.Kirillov)

Ph.D. Moscow State University, 1984, Unitary highest weight representations of Virasoro Algebra (Russian)

Russian doctor degree (Habilitation): Steklov Institute, 1992, On representations of category of Riemann surfaces (Russian)

Date and place of birth: 2 july 1959, Moscow

Family status: married. Wife: Neretina (Gavrina) Tatiana Vladimirovna

Chidren: Nikolay (1991), Tatiana (1994), Mikhail (2003)

Citezenship: Russia

Address: St.-Veitgasse, 53, 1 , Vienna, 1130, Austria

List of publications: https://www.mat.univie.ac.at/~neretin/CV/publications.html

Monographs:

Editing of collection of papers: Yu. Neretin M., Olshanetsky, A. Rosly, (editors),

Prise of Moscow Mathematical Society ("Representations of group of diffeomorphisms of the circle"), 1989

Invited lecture on 1-st European Mathematical Congress, Paris, 1992

Member of editorial board of

Most important research projects funded in the past: Stand-alone grants of FWF,

P19064 (Homogeneous spaces)

P22122 (Homogeneous spaces)

P 25142 (Infinite-dimensional groups)

P28421 (Infinite-dimensional groups and harmonic analysis on G-spaces)

P31591 (Infinite-dimensional groups and spectral problems)

Other former reserch projects: participant of projects NWO.047.017.015, JSPS-RFBR-07.01.91209, NWO 047-008-009, RFBR 98-01-00303, RFBR 96-01-96249, RosAtom-H.4e.45.90.11.1059. RFRF 95-01-00814

The most important scientific results:

-- construction of a complexification of the group of diffeomorphisms of the circle and constructions of conformal filed theories, 1985-1988;

-- extensions of representations of classical groups to representations of categories; development of theory of categorical envelopes (trains) of infinite-dimensional groups;

-- introduction of the groups of spheromorphisms of trees;

-- evaluations of new beta-integrals: one-dimensional integrals, matrix integrals, $p$-adic and adelic integrals, non-matrix interpolations of matrix beta integrals, integrals over flags spaces, complex beta-integrals, etc.;

-- construction of inverse limits of unitary groups and of Riemannian compact symmetric spaces;

-- construction of the operational calculus for Plancherel decompositions.