Grigori Borissowitsch Michalkin

Grigori Michalkin, Oberwolfach 2011

Grigori Borissowitsch Michalkin , Russian Григорий Борисович Михалкин (born July 19, 1970 ) is a Russian mathematician.

Michalkin studied at the State University of Saint Petersburg with a diploma in 1991 with Viatcheslav Kharlamov and Oleg Wiro . In 1993 he received his doctorate with Selman Akbulut at Michigan State University (Classification of smooth closed manifolds up to blowups) and in 1995 he received his doctorate at the Steklow Institute in Saint Petersburg (candidate degree) with Oleg Wiro (The complex separation of real surfaces and extensions of Rokhlin congruence for curves on surfaces). He has been a member of the Steklov Institute in Saint Petersburg since 1993. As a post-doctoral student he was at the Institute for Advanced Study in 1993/94 and at the Max Planck Institute for Mathematics in Bonn in 1994/95 , at the University of Toronto in 1995/96 and at the MSRI in 1996/97 . From 1997 he was Benjamin Peirce Lecturer and then Assistant Professor at Harvard University and in 1999 he became Associate Professor at the University of Utah .

Michalkin studies the topology of real algebraic varieties, tropical algebraic geometry, and amoebas of complex varieties.

He was visiting researcher at the IMPA in Rio de Janeiro, the Mittag-Leffler Institute and the IHES . He was invited speaker at the International Congress of Mathematicians 2006 in Madrid (Tropical Geometry and its applications). In 1999 he received the St. Petersburg Mathematical Society's Prize for Young Mathematicians .

Fonts

• Blowup equivalence of smooth closed manifolds, Topology, Volume 36, 1997, pp. 287-299
• Real algebraic curves, moment maps and amoebas, Annals of Mathematics, Volume 151, 2000, pp. 309-326, Arxiv
• with H. Rullgard: Amoebas of maximal area, Internat. Math. Res. Notices, Vol. 9, 2001, pp. 441-451.
• with Erwan Brugallé, Ilia Itenberg, Kristin Shaw: Brief introduction to tropical geometry, Gokova Geometry / Topology Conference, 2015, Arxiv
• Introduction to Tropical Geometry (notes from the IMPA lectures in Summer 2007), Arxiv
• Counting curves via lattice paths in polygons, Preprint 2002, Arxiv
• Amoebas of algebraic varieties, Real Algebraic and Analytic Geometry Congress, Rennes 2001, Arxiv
• Editor with Ilia Itenberg, Eugenii Shustin: Tropical algebraic geometry (Oberwolfach Seminars), Birkhäuser, Basel 2007
• Enumerative tropical algebraic geometry in , J. Am. Math. Soc., Vol. 18, 2005, pp. 313-377 ${\displaystyle \mathbb {R} ^{2}}$
• with I. Zharkov: Tropical curves, their Jacobians and Theta functions, in: Curves and Abelian Varieties, Contemporary Mathematics, Volume 465, 2008, pp. 203-230

Web links

• Homepage
• mathnet.ru

Individual evidence

1. ↑ Published in Inventiones Mathematicae, Volume 118, 1994, pp. 197–222, Arxiv
2. ↑ Subject of a Bourbaki seminar (No. 921, 2003) by Ilia Itenberg on amoebas and counting holomorphic curves. For amoeba see Oleg Viro, What is an amoeba? , Notices AMS, September 2002 (pdf)
3. ↑ Arxiv