Professor Bleher was the winner of the International Mathematical Olympiad, Berlin, Germany, 1965. He received a M.A. from Moscow State University, Russia, in 1970, a Ph.D. from the Institute of Applied Mathematics of the USSR Academy of Sciences in 1974, and a Second Doctoral Degree (Habilitation) in 1984 from Vilnius University, Lithuania. In 1974-90 Professor Bleher was a senior research scientist in the Institute of Applied Mathematics of the USSR Academy of Sciences. In 1990-93 he was a professor of mathematics at Tel Aviv University, Israel, and in 1992-1994, a member of the Institute of Advanced Study, Princeton, New Jersey. Professor Bleher joined IUPUI in 1994 and became the Chancellor's Professor of Mathematical Sciences in 2005. He was a cochair of the program "Random Matrices and Their Applications" at the Mathematical Sciences Research Institute, Berkeley, California, 2001.

Professor Bleher is an expert in the field of mathematical physics. His major works concern with rigorous methods of the renormalization group in theory of critical phenomena and phase transitions of statistical physics, the problem of quantum chaos, random matrix models and random polynomials. He published 110 papers in leading mathematical and physical journals.

Professor Bleher was a visiting professor and a member in many scientific centers: the Isaac Newton Institute, Cambridge, U.K.; Service de Physique Theorique, CEA-Saclay, France; ETH-Zurich, Switzerland; Ecole Normale Superieur, Paris, France; Courant Institute, NYU, New York; Centre de Physique Theorique, Luminy-Marseille, France; University of Rome "La Sapienza". He was an organizer and chair of many conferences in mathematical physics. Professor Bleher was a Barecha Foundation Fellow in Tel Aviv in 1990. He is a member of the editorial board of the journal of Mathematical Physics, Analysis and Geometry. Professor Bleher was awarded the Bernie Morrel Teaching Award and the School of Science Research Award at IUPUI.