CV:

Andrei Khrennikov
School of Mathematics and Systems Engineering, University of Växjö,
S-35195, Sweden.

1. Born: 6 August 1958, Volgograd, Russian Federation

2. 1975-1980 student and 1980-1983 aspirant of Moscow State University, Department of Mechanics and Mathematics.

3. 1983, Kandidate dissertation at Moscow State University, "Infinite-dimensional pseudo-differential equations".

1989 Doctor ("Habilitation") dissertation at Steklov Mathematical Institute of Academy of Sciences, "Pseudo-differential equations on superspace."

4. 1984-1988, Assistant of Moscow State Institute of Electronic Engineering (MSIEE), K-498, Moscow; 1988-1990, Dozenth and 1990 - present time, Professor of MSIEE. 1996-1997, visiting Professor, Bochum University, Germany. 1997- present time, Professor of Department of Mathematics, Statistics and Computer Sciences, University of Växjö, Sweden.

5. Visiting professor fellowships: 1992,1993,1996, Genova University, Italy; 1992, Peking and Wuhan Universities, China; 1996 and 1998, University of Clermont-Ferrand, France; 1994-1995, Alexander von Humboldt Fellowship, Bochum University, Germany; 1996/1997, Rikkyo University, Tokyo. 1998, Tokyo Science University; 1999, University of Rome, "La Sapienza".

6. PHD-graduates
(1) K. Mbusu, Moscow State University, 1986-1989, "Feynman integration and pseudo-differential operators."

(2) D. Ktitarev, Moscow State University, 1987-1990, "Evolutional pseudo-differential equations on infinite-dimensional spaces."

(3) M. Nilsson, University of Växjö,since 1.12.1997 (simultanious supervision with A. Melin, LTH, Lund).

(4) H. Petersson, University of Växjö, since 1.01. 1998 (simultanious supervision with B. Gustafsson, KTH, Stockholm).
(5) K-O. Lindahl, University of Växjö, since 1.07.1999.

(6) P-A. Svensson, University of Växjö, since 1.07.1999.

(7) R. Nyqvist, University of Växjö, since 1.07.1999.

7. The description of main scientific interests:

Fundamental Investigations

A1. Mathematics: functional analysis, theory of probability (foundations, axiomatics) and stochastic processes (stochastic differential equations on infinite-dimensional spaces), differential and pseudo-differential equations, infinite-dimensional analysis (distribution theory and Feynman integral), superanalysis, non-Archimedean ($p$-adic analysis), dynamical systems. Published more than 100 papers in central international mathematical journals (in particular, 2 reviews in "Russian Math. Surveys") and 2 books

A2. Physics: quantum field theory in the formalism of Feynman's integral, theory of superfields and superstrings, p-adic quantum physics, foundations of quantum theory, Einstein-Podolsky-Rosen paradox, Bell's inequality. Published more than 20 papers (in particular, a series of 7 papers in "J. of Math. Phys.") and a book.

A3. Biology, cognitive sciences, neural networks: mathematical models of the human's brain activity based on the p-adic number system (dynamical systems in the space of ideas), dynamical population models, dynamical social models. Published 5 papers and the book.

Applied investigations

In the period 1986-1994 I was the head of some applied research programs at Moscow Institute of Electronic Engineering:

1. The statistical control of technological process in the electronic industry.

2. Compression of information and image analysis for satellites. This program was connected with the compression of information which was transferred from satellites. This information was used for meteorology, agriculture, ecology and military purposes.

3. p-adic processor and artificial intellect. By this program we began to create software for processor which would be based on a new number system (p-adic numbers). However, this program has not been fulfilled (because the absent of financial resources).

Seminars:

The results of investigations have been presented at more than 30 seminars at Universities of Moscow, Rome ("La Sapienza" and Roma-2), Paris-4, Brussels, Peking, Wuhan, Genova and Padova (Italy), Bochum, Karlsruhe, Giessen, Bremen, Munster, Bielefeld (Germany), Nijmegen (The Netherlands), Santander (Spain), Clermont-Ferrand (France), Lund/LTH, Stockholm/KTH, Linköping, Göteborg/Chalmers, Wien, Inst. of Extraterrestrische Physik (Max Plank Institute, Munchen), Atominstitut Wien, and a number of Japanese Universities: Tsukuba, Waseda, Nagoay, Hiroshima, Kyoto, Okayama, Chuo University, Tokyo Institute of Technology, Rikkyo University, Tokyo Sc. University.