Ivan Aleksandrovich Panin (Иван Александрович Панин, born 2 July 1959 in

Apatity Apatity ( rus, Апатиты, p=əpɐˈtʲitɨ, lit. apatites) is a town in Murmansk Oblast, Russia, located along the Murman Railway, west of Kirovsk and south of Murmansk, the administrative center of the oblast. The town is named after one ...

, Russia) is a Russian mathematician, specializing in

algebra Algebra () is one of the areas of mathematics, broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathem ...

, algebraic geometry, and

algebraic K-theory Algebraic ''K''-theory is a subject area in mathematics with connections to geometry, topology, ring theory, and number theory. Geometric, algebraic, and arithmetic objects are assigned objects called ''K''-groups. These are groups in the sense ...

Education and career

In 1973 he entered boarding school at

D. K. Faddeev Academic Gymnasium Dmitry Konstantinovich Faddeev Academic Gymnasium at Saint Petersburg State University () also known as the 45th Physics Mathematics School () is a selective secondary boarding school at the Saint Petersburg State University established in 1963 in w ...

and graduated there in 1976 There he graduated in 1981 from the Faculty of Mathematics and Mechanics of

Saint Petersburg State University Saint Petersburg State University (SPBU; russian: Санкт-Петербургский государственный университет) is a public research university in Saint Petersburg, Russia. Founded in 1724 by a decree of Peter the G ...

. At the

St. Petersburg Department of Steklov Institute of Mathematics of Russian Academy of Sciences The St. Petersburg Department of Steklov Institute of Mathematics of the Russian Academy of Sciences (russian: Санкт-Петербургское отделение Математического института им. В. А. Стеклова ...

(abbreviated ПОМИ им. В. А. Стеклова РАН in Russian), he defended in 1984 his thesis for the degree of candidate of physical and mathematical sciences (Ph.D.) with supervisor

Andrei Suslin Andrei Suslin (russian: Андре́й Алекса́ндрович Су́слин, sometimes transliterated Souslin) was a Russian mathematician who contributed to algebraic K-theory and its connections with algebraic geometry. He was a Truste ...

and then became employed there as a staff member. Panin received in 1996 the degree of

Doctor nauk Doctor of Sciences ( rus, доктор наук, p=ˈdoktər nɐˈuk, abbreviated д-р наук or д. н.; uk, доктор наук; bg, доктор на науките; be, доктар навук) is a higher doctoral degree in the Russi ...

from the St. Petersburg Department of Steklov Institute of Mathematics of Russian Academy of Sciences. There in 1999 he became the head of the laboratory of algebra and number theory. In 2003 he was elected a corresponding member of the Russian Academy of Sciences in the Department of Mathematical Sciences.I. A. Panin on mathnet.ru (English language version)
/ref> In 2018 in Rio de Janeiro he was an invited speaker at the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...

Research

The main directions of I. A. Panin's work are the theory of oriented cohomology on

algebraic varieties Algebraic varieties are the central objects of study in algebraic geometry, a sub-field of mathematics. Classically, an algebraic variety is defined as the set of solutions of a system of polynomial equations over the real or complex number ...

, algebraic K-theory of homogeneous varieties, Gersten's conjecture, the Grothendieck-Serre conjecture on principal G-bundles, and purity in algebraic geometry. I. A. Panin proved (together with A. L. Smirnov) theorems of the Riemann-Roch type for oriented cohomology theories and Riemann-Roch type theorems for the

Adams operation In mathematics, an Adams operation, denoted ψ''k'' for natural numbers ''k'', is a cohomology operation in topological K-theory, or any allied operation in algebraic K-theory or other types of algebraic construction, defined on a pattern introdu ...

. Panin found a proof of Gersten's conjecture in the case of equal characteristic and an affirmative solution (jointly with Manuel Ojanguren) of the "purity" problem for quadratic forms. Panin computed the algebraic K-groups of all twisted forms of flag varieties and all principal homogeneous spaces over the inner forms of semisimple

algebraic group In mathematics, an algebraic group is an algebraic variety endowed with a group structure which is compatible with its structure as an algebraic variety. Thus the study of algebraic groups belongs both to algebraic geometry and group theory. ...

s. He, jointly with A. S. Merkurjev and A. R. Wadsworth, generalized, to arbitrary Borel varieties, results proved by David Tao concerning index reduction formulas for the function fields of involution varieties.Иван Александрович Панин, Выдающиеся матмеховцы
(Ivan Alexandrovich Panin, Outstanding mathematical mechanician)

Selected publications

* * * * *

References

External links

* {{DEFAULTSORT:Panin, Ivan Alesandrovich Algebraic geometers 1959 births Living people Saint Petersburg State University alumni Steklov Institute of Mathematics alumni Academic staff of the Steklov Institute of Mathematics 20th-century Russian mathematicians 21st-century Russian mathematicians People from Apatity