Persons: Èsterov, Alexander Isaakovich

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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:	189
Presentations:	11

Number of views:
This page:	2843
Abstract pages:	5169
Full texts:	1556
References:	630

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:

Esterov A. I., “Galois theory for general systems of polynomial equations”, Compositio Mathematica, 155:2 (2019), 229–245
Arkhipova A. A., Esterov A. I., “Signs of the Leading Coefficients of the Resultant”, Geometric and Functional Analysis, 27:1 (2017), 33–66
Esterov A. I., Takeuchi K. Confluent $A$-hypergeometric functions and rapid decay homology cycles, American Journal of Mathematics, 137:2 (2015), 365–409
Esterov A. I., Gusev G. G., “Systems of equations with a single solution”, Journal of symbolic computation, 68:2 (2015), 116–130
Esterov A. I., “The discriminant of a system of equations”, Advances in Mathematics, 245 (2013), 534–572
A. Esterov, “Tropical varieties with polynomial weights and corner loci of piecewise polynomials”, Mosc. Math. J., 12:1 (2012), 55–76
Esterov A. I., “Newton polyhedra of discriminants of projections”, Discrete and Computational Geometry, 44:1 (2010), 96–148
A. I. Èsterov, “Densities of topological invariants of quasi-periodic subanalytic sets”, Izv. Math., 73:3 (2009), 611–626
A. Esterov, “On the Existence of Mixed Fiber Bodies”, Mosc. Math. J., 8:3 (2008), 433–442
Esterov A. I., Khovanskii A. G., “Elimination theory and Newton polytopes”, Functional Analysis and Other Mathematics, 1 (2008), 45–71
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

https://www.mathnet.ru/eng/person9124

https://scholar.google.com/citations?user=O9vazfUAAAAJ&hl=en

https://zbmath.org/authors/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

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

2019
2.	Esterov A. I., “Galois theory for general systems of polynomial equations”, Compositio Mathematica, 155:2 (2019), 229–245	19 ^[x]

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	10 ^[x]
4.	Esterov A. I., Takeuchi K., “On vanishing theorems for local systems associated to Laurent polynomials”, Nagoya Mathematical Journal, 231 (2018), 1–22	1 ^[x]

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	1 ^[x]
6.	A. I. Esterov, “The degree of the bifurcation set of a generic polynomial map”, Russian Math. Surveys, 72:4 (2017), 773–775

2016
7.	Esterov A. I., Gusev G. G., “Multivariate Abel–Ruffini”, Mathematische Annalen, 365:3 (2016), 1091–1110	5 ^[x]

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	9 ^[x]
9.	Esterov A. I., Takeuchi K., Ando K., “Monodromies at infinity of confluent $A$-hypergeometric functions”, Advances in Mathematics, 272 (2015), 1–19	4 ^[x]
10.	Esterov A. I., Gusev G. G., “Systems of equations with a single solution”, Journal of symbolic computation, 68:2 (2015), 116–130	16 ^[x]

2013
11.	Esterov A. I., “The discriminant of a system of equations”, Advances in Mathematics, 245 (2013), 534–572	12 ^[x]

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	8 ^[x]
13.	Esterov A. I., “Multiplicities of degenerations of matrices and mixed volumes of Cayley polyhedra”, Journal of Singularities, 6 (2012), 27–36
14.	A. Esterov, “Tropical varieties with polynomial weights and corner loci of piecewise polynomials”, Mosc. Math. J., 12:1 (2012), 55–76	10 ^[x]

2010
15.	Esterov A. I., “Newton polyhedra of discriminants of projections”, Discrete and Computational Geometry, 44:1 (2010), 96–148	29 ^[x]
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

2009
17.	A. I. Èsterov, “Densities of topological invariants of quasi-periodic subanalytic sets”, Izv. Math., 73:3 (2009), 611–626

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

2007
20.	Proc. Steklov Inst. Math., 259 (2007), 16–34

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

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

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

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

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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