Prof. Dr. Eugenii Shustin

Profile

Academic positionFull Professor
Research fieldsAlgebra, Theory of Numbers, Algebraic Geometry,Geometry, Topology
KeywordsHilbert schemes of zero-dimensional schemes, algebraic curves, enumerative geometry, real algebraic curves, singularities

Current contact address

CountryIsrael
CityTel Aviv
InstitutionTel Aviv University
InstituteSchool of Mathematical Sciences
Homepagehttp://www.math.tau.ac.il/~shustin/

Host during sponsorship

Prof. Dr. Gert-Martin GreuelFachbereich Mathematik, Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau (RPTU), Kaiserslautern
Start of initial sponsorship01/10/2002

Programme(s)

2001Friedrich Wilhelm Bessel Research Award Programme

Nominator's project description

Professor Eugenii Shustin is an internationally recognized researcher in mathematics with publications of highest quality in the fields of real and complex algebraic geometry, singularity theory, dynamical systems and control theory. A qualitative breakthrough was achieved by Professor Shustin in the study of singular algebraic curves, an object of constant interest in classical and modern algebraic geometry. The planned common research project in Kaiserslautern is devoted to the further investigation of this subject.

Publications (partial selection)

2005Eugenii Shustin: A tropical approach to enumerative geometry. In: Algebra i Analiz, 2005, 170-214
2004Eugenii Shustin, Eric Westenberger: Projective hypersurfaces with many singularities of prescribed types. In: Journal of the London Mathematical Society, 2004, 609-624
2003Ilia Itenberg, Viacheslav Kharlamov, Eugenii Shustin: Welschinger invariant and enumeration of real rational curves. In: International Mathematics Research Notices, 2003, 2639-2653