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Èsterov, Alexander Isaakovich

Total publications: 26 (25)
in MathSciNet: 26 (25)
in zbMATH: 25 (25)
in Web of Science: 19 (19)
in Scopus: 21 (21)
Cited articles: 20
Citations: 186
Presentations: 11

Number of views:
This page:2662
Abstract pages:4889
Full texts:1475
References:566
Èsterov, Alexander Isaakovich
Doctor of physico-mathematical sciences (2017)
Birth date: 4.11.1979
E-mail:
Keywords: algebraic geometry, convex geometry, singularity theory, tropical geometry, combinatorics.
   
Main publications:
  1. Esterov A. I., “Galois theory for general systems of polynomial equations”, Compositio Mathematica, 155:2 (2019), 229–245  crossref  mathscinet  zmath  isi  scopus
  2. Arkhipova A. A., Esterov A. I., “Signs of the Leading Coefficients of the Resultant”, Geometric and Functional Analysis, 27:1 (2017), 33–66  crossref  mathscinet  zmath  isi  scopus
  3. Esterov A. I., Takeuchi K. Confluent $A$-hypergeometric functions and rapid decay homology cycles, American Journal of Mathematics, 137:2 (2015), 365–409  crossref  mathscinet  zmath  isi  scopus
  4. Esterov A. I., Gusev G. G., “Systems of equations with a single solution”, Journal of symbolic computation, 68:2 (2015), 116–130  crossref  mathscinet  zmath  isi  scopus
  5. Esterov A. I., “The discriminant of a system of equations”, Advances in Mathematics, 245 (2013), 534–572  crossref  mathscinet  zmath  isi  scopus
  6. A. Esterov, “Tropical varieties with polynomial weights and corner loci of piecewise polynomials”, Mosc. Math. J., 12:1 (2012), 55–76  mathnet  crossref  mathscinet  zmath  isi  scopus
  7. Esterov A. I., “Newton polyhedra of discriminants of projections”, Discrete and Computational Geometry, 44:1 (2010), 96–148  crossref  mathscinet  zmath  isi  scopus
  8. A. I. Èsterov, “Densities of topological invariants of quasi-periodic subanalytic sets”, Izv. Math., 73:3 (2009), 611–626  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
  9. A. Esterov, “On the Existence of Mixed Fiber Bodies”, Mosc. Math. J., 8:3 (2008), 433–442  mathnet  crossref  mathscinet  zmath  isi
  10. Esterov A. I., Khovanskii A. G., “Elimination theory and Newton polytopes”, Functional Analysis and Other Mathematics, 1 (2008), 45–71  crossref  mathscinet  zmath
  11. A. I. Èsterov, “Index of a real singular point and its Newton diagram”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2003, no. 1, 8–12  mathnet  mathscinet  zmath  scopus

https://www.mathnet.ru/eng/person9124
https://scholar.google.com/citations?user=O9vazfUAAAAJ&hl=en
https://zbmath.org/authors/?q=ai:esterov.alexander-i
https://mathscinet.ams.org/mathscinet/MRAuthorID/667237
https://elibrary.ru/author_items.asp?authorid=115031
https://orcid.org/0000-0001-9526-900X
https://publons.com/researcher/2390242
https://www.webofscience.com/wos/author/record/H-6964-2015
https://www.scopus.com/authid/detail.url?authorId=8697123200

Full list of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

   2021
1. B. Ya. Kazarnovskii, A. G. Khovanskii, A. I. Esterov, “Newton polytopes and tropical geometry”, Russian Math. Surveys, 76:1 (2021), 91–175  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2019
2. Esterov A. I., “Galois theory for general systems of polynomial equations”, Compositio Mathematica, 155:2 (2019), 229–245  crossref  mathscinet  zmath  isi  scopus 19

   2018
3. Esterov A. I., “Characteristic classes of affine varieties and Plücker formulas for affine morphisms”, Journal of the European Mathematical Society, 20 (2018), 15–59  crossref  mathscinet  zmath  isi  scopus 9
4. Esterov A. I., Takeuchi K., “On vanishing theorems for local systems associated to Laurent polynomials”, Nagoya Mathematical Journal, 231 (2018), 1–22  crossref  mathscinet  zmath  isi  scopus 1

   2017
5. Arkhipova A. A., Esterov A. I., “Signs of the Leading Coefficients of the Resultant”, Geometric and Functional Analysis, 27:1 (2017), 33–66  crossref  mathscinet  zmath  isi  scopus 1
6. A. I. Esterov, “The degree of the bifurcation set of a generic polynomial map”, Russian Math. Surveys, 72:4 (2017), 773–775  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2016
7. Esterov A. I., Gusev G. G., “Multivariate Abel–Ruffini”, Mathematische Annalen, 365:3 (2016), 1091–1110  crossref  mathscinet  zmath  isi  elib  scopus 5

   2015
8. Esterov A. I., Takeuchi K. Confluent $A$-hypergeometric functions and rapid decay homology cycles, American Journal of Mathematics, 137:2 (2015), 365–409  crossref  mathscinet  zmath  isi  scopus 9
9. Esterov A. I., Takeuchi K., Ando K., “Monodromies at infinity of confluent $A$-hypergeometric functions”, Advances in Mathematics, 272 (2015), 1–19  crossref  mathscinet  zmath  isi  scopus 4
10. Esterov A. I., Gusev G. G., “Systems of equations with a single solution”, Journal of symbolic computation, 68:2 (2015), 116–130  crossref  mathscinet  zmath  isi  scopus 15

   2013
11. Esterov A. I., “The discriminant of a system of equations”, Advances in Mathematics, 245 (2013), 534–572  crossref  mathscinet  zmath  isi  scopus 12

   2012
12. Takeuchi K., Esterov A. I., “Motivic Milnor fibers over complete intersection varieties and their virtual Betti numbers”, International Mathematics Research Notices, 2012, no. 15, 3567–3613  crossref  mathscinet  zmath  isi  elib  scopus 8
13. Esterov A. I., “Multiplicities of degenerations of matrices and mixed volumes of Cayley polyhedra”, Journal of Singularities, 6 (2012), 27–36  mathscinet  zmath  scopus
14. A. Esterov, “Tropical varieties with polynomial weights and corner loci of piecewise polynomials”, Mosc. Math. J., 12:1 (2012), 55–76  mathnet  crossref  mathscinet  zmath  isi  scopus 10

   2010
15. Esterov A. I., “Newton polyhedra of discriminants of projections”, Discrete and Computational Geometry, 44:1 (2010), 96–148  crossref  mathscinet  zmath  isi  scopus 28
16. S. B. Artemov, A. A. Belavin, V. M. Buchstaber, A. I. Esterov, B. L. Feigin, V. A. Ginzburg, E. A. Gorsky, Yu. S. Ilyashenko, A. A. Kirillov, A. G. Khovanskii, S. K. Lando, G. A. Margulis, Yu. A. Neretin, S. P. Novikov, S. B. Shlosman, A. B. Sossinsky, M. A. Tsfasman, A. N. Varchenko, V. A. Vassiliev, S. G. Vlăduţ, “Sabir Medgidovich Gusein-Zade”, Mosc. Math. J., 10:4 (2010), 831–832  mathnet  mathscinet

   2009
17. A. I. Èsterov, “Densities of topological invariants of quasi-periodic subanalytic sets”, Izv. Math., 73:3 (2009), 611–626  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2008
18. Esterov A. I., Khovanskii A. G., “Elimination theory and Newton polytopes”, Functional Analysis and Other Mathematics, 1 (2008), 45–71  crossref  mathscinet  zmath 19
19. A. Esterov, “On the Existence of Mixed Fiber Bodies”, Mosc. Math. J., 8:3 (2008), 433–442  mathnet  crossref  mathscinet  zmath  isi 7

   2007
20. Proc. Steklov Inst. Math., 259 (2007), 16–34  mathnet  crossref  mathscinet  zmath  elib  elib  scopus

   2006
21. A. I. Èsterov, “Indices of 1-forms, intersection indices, and Newton polyhedra”, Sb. Math., 197:7 (2006), 1085–1108  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
22. A. I. Èsterov, “Intersection indices and Newton polyhedra”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2006, no. 3, 3–6  mathnet  mathscinet  zmath

   2005
23. Esterov A., “Indices of 1-forms and Newton polyhedra”, Rev. Mat. Complut., 18:1 (2005), 233–242  mathscinet  zmath
24. A. I. Èsterov, “Indices of 1-forms, resultants and Newton polyhedra”, Russian Math. Surveys, 60:2 (2005), 352–353  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2003
25. A. I. Èsterov, “Index of a real singular point and its Newton diagram”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2003, no. 1, 8–12  mathnet  mathscinet  zmath  scopus

   2000
26. A. I. Èsterov, “Densities of the Betti numbers of pre-level sets of quasi-periodic functions”, Russian Math. Surveys, 55:2 (2000), 338–339  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  scopus

Presentations in Math-Net.Ru
1. Characteristic classes of subsets of an algebraic torus and their applications
A. I. Èsterov
Lie groups and invariant theory
February 2, 2022 17:00   
2. Tropical characteristic classes
A. I. Èsterov
Multidimensional Residues and Tropical Geometry
June 18, 2021 12:00   
3. Теория Галуа систем уравнений и маленькие целочисленные многогранники
A. I. Èsterov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
November 14, 2018 18:30
4. Топологическая теория Галуа систем полиномиальных уравнений и класификация маленьких целочисленных многогранников
A. I. Èsterov
Knots and Representation Theory
March 20, 2018 18:30
5. Разрешимость систем полиномиальных уравнений
A. I. Èsterov
Knots and Representation Theory
December 15, 2015 18:30
6. Разрешимость систем полиномиальных уравнений
A. I. Èsterov
Meetings of the Moscow Mathematical Society
November 17, 2015
7. Discriminants and solvability of systems of equations
A. I. Èsterov
Lie groups and invariant theory
October 14, 2015 16:45
8. Тропическая и исчислительная геометрия
A. I. Èsterov
Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar)
September 2, 2015 14:00
9. Tropical singularity theory
A. Èsterov
Lie groups and invariant theory
May 14, 2014 16:45
10. Дискриминант системы уравнений
A. I. Èsterov
Meetings of the Moscow Mathematical Society
April 24, 2012 18:30
11. Многообразия углов кусочно-полиномиальных функций и тропические многообразия с полиномиальными весами
Aleksandr Ehsterov
Homology and homotopy methods in geometry
December 15, 2010 17:00

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