Starting from my 4th year at the Novosibirsk University (1976) I entered in the group of Professor B.V.Chirikov in the Institute of Nuclear Physics. After the University I continued the researches of classical and quantum chaos in this group in collaboration with B.V.Chirikov and F.M.Izrailev. The main directions of my scientific researches are: classical chaos, quantum chaos, ionization of Rydberg atoms and molecules, applications of quantum chaos to solid state problems. In last 4 years the new direction of research was developed with application of quantum chaos to mesoscopics, many-body interating systems, problems of transport in disordered fermionic systems with interaction, quantum spin glass clusters, quantum chaos in quantum computers.
Many of the results were obtained in collaboration with the scientists from different countries. The most close collaborations are with the group of G.Casati and I.Guarneri (Milan-Como-Pavia, Italy), the group of R.Graham and F.Haake (Essen, Germany), the groups of S.Fishman and U.Smilansky (Haifa-Rehovot, Israel), the group of A.D.Stone (Yale Univ., CT, USA), the group of V.Flambaum and O.Sushkov (UNSW, Sydney, AU). The problems of interaction and disorder are intensively discussed with Y.Imry (Weizmann Inst., Israel) and J.-L.Pichard (Saclay).
At present in Toulouse there is a mini-group of "Quantum chaos" which includes 4 permanent researchers (Armelle Barelli (MC), Klaus Frahm (Prof), Bertrand Geogreot (CR2) and Dima Shepelyansky (DR2)) and two PhD students (Gaetan Caldara (grant from ENS, Paris and DEA at Univ. P. Sabatier, Toulouse) and José Lages (grant from DEA at Univ. P. Sabatier, Toulouse)). The results of the group are described in sections 3.6-3.7. The title of research programme is "Classical and quantum chaos" with applications to the problems of atoms and molecules in external fields, mesoscopic systems, quantum computers, quantum spin glasses, interaction, disorder, Anderson localization and transport.