He sat on visiting professor positions, both in mathematics and economics, at the universities of Franche-Compte (Besancon, France), Naples (Italy), Perugia (Italy), Tel Aviv (Israel), Tampere (Finland), and Swedish School of Economics and Business Administration in Helsinki (Finland). He earned research fellowships in mathematics from DAAD (Tuebingen, FRG, 1988/89) and the Royal Society (Cambridge, UK, 1990), and in Economics (Bank of Finland Institute for Economies in Transition, Helsinki, Finland, 1999). In economics A.Bukhvalov headed Russian teams of researchers in international projects supported by INTAS (93-2794), TACIS (194-1035-R), and University of Calgary--Gorbachov Foundation (with McGill University, 1995-97), USAID (2000-2002, Center for Research of Financial Markets).
As a member of the Organizing Committee (1992-95, together with Professors Vadim Gal'perin and Boris Ovsievich) and as the Dean-organizer (1995-99) he has established the Department of Economics of the European University in St.Petersburg.
Since 1996 he works at St.Petersburg State University where he joined the School of Management faculty since 1999.