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Mikhalkin, Grigory Borisovich

Statistics Math-Net.Ru
Total publications: 10
Scientific articles: 10
Presentations: 10

Number of views:
This page:1872
Abstract pages:1732
Full texts:222
References:102
Candidate of physico-mathematical sciences (1995)
Birth date: 19.07.1970
E-mail: ,
Website: https://www.math.utah.edu/~gmikhalk
Keywords: topology, algebraic geometry.
   
Main publications:
  • Complex separation of real surfaces and extensions of Rokhlin's congruence. Invent. Math. 118 (1994), no. 2, 197–222.
  • Adjunction inequality for real algebraic curves. Math. Res. Lett. 4 (1997), no. 1, 45–52.
  • Blowup equivalence of smooth closed manifolds. Topology 36 (1997), no. 1, 287–299.
  • Real algebraic curves, moment map and amoebas. Annals of Math., 151 (2000), no. 1, 309–326.
  • Amoebas of maximal area. (joint with H. Rullgard). Internat. Math. Res. Notices, 9 (2001), 441–451.

https://www.mathnet.ru/eng/person17435
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/321524

Publications in Math-Net.Ru Citations
2021
1. Grigory Mikhalkin, Stepan Orevkov, “Rigid isotopy of maximally writhed links”, Algebr. Geom., 8:3 (2021),  268–285  mathnet  mathscinet  isi 2
2019
2. Grigory Mikhalkin, Stepan Orevkov, “On Osculating Framing of Real Algebraic Links”, Arnold Math. J., 5 (2019),  393–399  mathnet  mathscinet  scopus
3. Grigory Mikhalkin, Stepan Orevkov, “Maximally writhed real algebraic links”, Invent. Math., 216:1 (2019),  125–152  mathnet  mathscinet  isi  scopus 7
2018
4. E. Brugallé, G. Mikhalkin, J.-J. Risler, K. Shaw, “Nonexistence of torically maximal hypersurfaces”, Algebra i Analiz, 30:1 (2018),  20–31  mathnet  mathscinet  elib; St. Petersburg Math. J., 30:1 (2019), 15–23  isi  scopus 1
5. G. B. Mikhalkin, S. Yu. Orevkov, “Topology of maximally writhed real algebraic knots”, Dokl. Akad. Nauk, 478:2 (2018),  141–144  mathnet  elib; Dokl. Math., 97:1 (2018), 28–31  isi  scopus
6. G. B. Mikhalkin, A. Renaudineau, “Tropical limit of log-inflection points for planar curves”, Mat. Sb., 209:9 (2018),  19–34  mathnet  mathscinet  elib; Sb. Math., 209:9 (2018), 1273–1286  isi  scopus 3
2016
7. Grigory Mikhalkin, Stepan Orevkov, “Real algebraic knots and links of small degree”, J. Knot. Theor. Ramif., 25:12 (2016), 1642010, 34 pp.  mathnet  mathscinet  isi  elib  scopus 4
2007
8. G. B. Mikhalkin, A. Yu. Okounkov, “Geometry of planar log-fronts”, Mosc. Math. J., 7:3 (2007),  507–531  mathnet  mathscinet  zmath  isi 5
1999
9. G. B. Mikhalkin, “Birational equivalence for smooth manifolds with boundary”, Algebra i Analiz, 11:5 (1999),  152–165  mathnet  mathscinet  zmath; St. Petersburg Math. J., 11:5 (2000), 827–836
1991
10. G. B. Mikhalkin, “Some congruences for real algebraic curves on an ellipsoid”, Zap. Nauchn. Sem. LOMI, 193 (1991),  90–100  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. Noncommutative amoebas in the hyperbolic space and coamoebas in the 3-dimensional sphere
G. B. Mikhalkin
The 27th International Conference on Finite and Infinite Dimensional Complex Analysis and Applications
August 13, 2019 09:00   
2. Тропические аспекты симплектической геометрии II
G. B. Mikhalkin
Summer school "Algebra and geometry"
July 29, 2019 14:30
3. Тропические аспекты симплектической геометрии I
G. B. Mikhalkin
Summer school "Algebra and geometry"
July 25, 2019 14:30
4. Phases of tropical curves: from face to edge models
G. B. Mikhalkin
International conference "KUL!FEST" dedicated to the 60th anniversary of Vik. S. Kulikov
December 5, 2012 12:00   
5. The quantum number of plane holomorphic curves
G. B. Mikhalkin
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
March 12, 2012 13:00   
6. Tropical geometry: from description of curves to description of surfaces and beyond
G. B. Mikhalkin
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
September 2, 2010 14:00   
7. Real algebraic knots and links
G. B. Mikhalkin
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
December 8, 2008 14:00   
8. Tropical geometry
Grigory Mikhalkin
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
April 21, 2005
9. Surfaces in 3-space and their amoebas
G. Mikhalkin
General Mathematics Seminar of the St. Petersburg Division of Steklov Institute of Mathematics, Russian Academy of Sciences
December 23, 1999
10. Surfaces in 3-space and their amoebas
G. B. Mikhalkin
Meetings of the St. Petersburg Mathematical Society
December 23, 1999

Organisations
 
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