The Alfred Renyi Institute of Mathematics is the research institute in mathematics of the Hungarian Academy of Sciences. It was created in 1950 by Alfred Renyi, who directed it until his death. Since its creation, the institute has been the center of mathematical research in Hungary. It received the title Centre of Excellence of the European Union (2001). The current director is Peter Pal Palfy. The institute publishes the research journal Studia Scientiarum Mathematicarum Hungarica. Studia Scientiarum Mathematicarum Hungarica publishes original research papers on various fields of mathematics, e.g. algebra, approximation theory, combinatorics, differential equations, functional analysis, geometry, information theory, numerical methods, probability and mathematical statistics, statistical physics. The institute was founded by a government decree in 1950 as the Institute for Applied Mathematics of the Hungarian Academy of Sciences. The Institutes name originally was Applied Mathematics Institute of the HAS then Mathematical Research Institute of the HAS. It obtained its current name on July 1, 1999, after Alfred Renyi, the eminent mathematician, who founded the institute and was its director for 20 years. Successive directors were Laszlo Fejes Toth (1970-1982), Andras Hajnal (1982-1992), Domokos Szasz (1993-1995), Gyula O. H. Katona (1996-2005) and Peter Pal Palfy (2006). The building is a two-story edifice with an inner yard and has a ground plan of six axes. The entrance gate is situated on the second axis from the West, and the decorative staircase forms an organic whole with the inner areas of the building. In spite of the financial difficulties, the Institutes library is the biggest library of mathematics in Hungary. It has about 40.000 books and 25.000 volumes of more than 400 periodicals. The research staff of the Institute consists of about 70 members, but at any time a considerable part of them (typically 20-30 p.c.)are on leave, fulfilling longer term invitations/temporary positions at various universities or research centers abroad. The research staff of the Institute forms research teams covering algebra, algebraic geometry, algebraic logic and computer science, approximation theory, differential equations, discrete mathematics, functional analysis, geometry, information theory, mathematical statistics, number theory, probability theory, set theory, statistical physics, topology. The scientific output of the Institute is well certified by the research papers published by its staff in leading international journals. The members of the Institute play an important part in organizing the conferences of the Janos Bolyai Mathematical Society, the proceedings of which are also well known by the international mathematical community. In 2001 the Institute was granted the title Centre of Excellence of the European Union. Beside the research work another important duty of the Institute is the active support of mathematics teaching at various levels from undergraduate to postgraduate. This is partly done by undertaking teaching duties at various universities of the country, by organizing graduate and postgraduate courses in the topics mentioned above, and by tutoring PhD students. From the academic year 2001/2002 a new PhD program has been launched jointly with Central European University. The Institute welcomes visiting researchers both at postgraduate and senior levels from Hungary as well as from abroad. Colleagues who wish to pay a short term visit to the Institute in order to establish or promote scientific contacts are also welcome.