Prof. Dr. Yuri Nesterenko

Profile

Academic positionFull Professor
Research fieldsAlgebra, Theory of Numbers, Algebraic Geometry,General and overarching topics in Mathematics; collections
KeywordsAlgebraic independence, Transcendence theory, Polylogarithmen, Thetafunktionen

Current contact address

CountryRussian Federation
CityMoscow
InstitutionMoscow M.V. Lomonosov State University
InstituteDepartment of Mathematics

Host during sponsorship

Prof. Dr. Peter BundschuhMathematisches Institut, Universität zu Köln, Köln
Prof. Dr. Hans-Peter SchlickeweiFachbereich 12: Mathematik und Informatik, Philipps-Universität Marburg, Marburg
Start of initial sponsorship01/02/2003

Programme(s)

2002Humboldt Research Award Programme

Nominator's project description

Since 1969 Professor Nesterenko introduced methods from elimentation theory and commutative algrebra into transcendence, thus revolutionizing the theory of algebraic independence by his very precise multiplicity estimates. Connected herewith are his sensational results from 1996 on modular functions. As a by-product, he settled the long-standing problem on the algebraic independece of pi and e^pi. The research project concerns questions on transcendence of values of theta functions in several variables, and on linear independence or Riemann's zeta function at odd arguments.

Publications (partial selection)

2003Yuri Nesterenko: Integral identities and constructions of approximations to zeta-values. In: Journal Theor. Nombres, Bordeaux, 2003, 535-550