Collection

Nikolai Vavilov Memorial Issue

Algebraic Groups, Their Friends and Relations. The collection is focused on recent achievements in the structure theory of linear algebraic groups, with applications to related problems of representation theory, finite groups, asymptotic group theory, word maps, Kac-Moody groups and algebras, Chevalley groups and Lie algebras, K-theory, and the like. These subjects reflect the wide range of interests of Professor Nikolai Vavilov who passed away on September 14, 2023, and is dedicated to his memory.

Editors

  • Vladimir Chernousov

    Vladimir Chernousov is a Professor in the Department of Mathematical and Statistical Sciences at the University of Alberta, Canada. His research interests include linear algebraic groups, exceptional groups and non-associative structures, Lie algebras, Brauer groups, quadratic and Hermitian forms, Galois cohomology of linear algebraic groups, cohomological invariants, torsors, motives, essential dimension.

  • Boris Kunyavskii

    Boris Kunyavskii is a Professor in the Department of Mathematics at Bar-Ilan University, Israel. His research is concentrated around algebraic groups and their homogeneous spaces, Lie algebras, word maps, local-global principles for rational varieties.

  • Alexander Merkurjev

    Alexander Merkurjev is a Professor in the Department of Mathematics at the University of California Los Angeles, USA. His work focuses on algebraic groups, quadratic forms, Galois cohomology, algebraic K-theory, central simple algebras, essential dimension. His awards include the Young Mathematician Prize of the Petersburg Mathematical Society, the Humboldt Prize, the Cole Prize in Algebra. He was an invited speaker at the International Congress of Mathematicians in Berkeley (1986) and gave a plenary talk at the second European Congress of Mathematics in Budapest (1996).

  • Eugene Plotkin

    Eugene Plotkin is a Professor (Emeritus) in the Department of Mathematics at Bar-Ilan University, Israel. His research is concentrated around Chevalley groups, K-theory, word maps, universal algebraic geometry, and interrelations with model theory and other aspects of algebraic logic.

  • Anatoly Vershik

    Anatoly Vershik is Head of the Laboratory of Representation Theory and Dynamical Systems, at the St. Petersburg Department of Steklov Institute of Mathematics, Russia. His research interests include ergodic theory, dynamical systems, symbolic dynamics, representation theory, infinite-dimensional groups, symmetric groups. In 1998–2008, he was the president of the St. Petersburg Mathematical Society. He is a Fellow of the American Mathematical Society and a member of Academia Europaea.

  • Efim Zelmanov

    Efim Zelmanov is a Chair Professor and the Scientific Director of the SUSTech International Center for Mathematics at Shenzhen, China. His research includes a large variety of topics in non-associative algebra, group theory, ring theory, Lie algebras. He was awarded a Fields Medal and is a member of the U.S. National Academy of Sciences, the American Academy of Arts and Sciences, a foreign member of the Korean Academy of Science and Engineering and of the Spanish Royal Academy of Sciences, a Fellow of the American Mathematical Society. He was awarded Honorary Doctor degrees from the Universities of Hagen, Alberta, Kyiv, Santander, Lincoln.

Articles

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