Alexander Isaakovich Esterov
- Professor:Faculty of Mathematics
- Senior Research Fellow:Faculty of Mathematics / HSE – Skoltech International Laboratory of Representation Theory and Mathematical Physics
- Alexander Isaakovich Esterov has been at HSE University since 2011.
Education and Degrees
- 2017
Doctor of Sciences*
- 2005
Candidate of Sciences* (PhD) in Geometry and Topology
Lomonosov Moscow State University
Thesis Title: Indices of 1-forms, general resultants, and Newton polyhedra - 2001
Degree in Mathematics
Lomonosov Moscow State University, faculty of mechanics and mathematics
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
Young Faculty Support Program (Group of Young Academic Professionals)
Category "Future Professoriate" (2013-2014)
Student Term / Thesis Papers
- Bachelor
I. Telpukhovskiy «Mixed Volumes for Cayley Polytopes». Faculty of Mathematics, 2020
I. Telpukhovskiy «Mixed Volumes for Cayley Polytopes». Faculty of Mathematics, 2020
A. Bykov «Tropical Fans of Intersection Multiplicity 1». Faculty of Mathematics, 2018
Y. Rudko «Topology of Generic Determinantal Sets and Newton Polytopes». Faculty of Mathematics, 2017
V. Romanovskii «Polynomial Mappings of Small Degree Invertible by Radicals». Faculty of Mathematics, 2017
A. Arkhipova «Signs of the Leading Coefficients of the Resultant». Faculty of Mathematics, 2016
A. Barsukov «Multivariate Generalizations of the Abel-Ruffini Theorem». Faculty of Mathematics, 2016
- Master
I. Suvanov «Asymptotics of Pairs of Lattice Polygons with Fixed Mixed Volume». Faculty of Mathematics, 2020
A. Zagvozdkin «Discriminants of Systems of Polynomial Equations». Faculty of Mathematics, 2019
Y. Rudko «Educational Materials on the Course "Polyhedra and convex geometry" for Junior Students». Faculty of Mathematics, 2019
Courses (2019/2020)
- Introduction to Topology (Bachelor’s programme; Faculty of Mathematics; 1 year, 2, 3 module)Rus
- Research Seminar "Mathematics Practical Training" (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Research Seminar "Real Algebraic and Toric Geometry" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
- Past Courses
Courses (2018/2019)
- Research Seminar "Convex and Algebraic Geometry 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Polyhedra and Convex Geometry" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
Courses (2017/2018)
- Algebra (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Convex Optimization (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
- Foundations of Algebra and Geometry (Minor; Faculty of Mathematics; 1, 2 module)Rus
- Introduction to Discrete Mathematics (Bachelor’s programme; Faculty of Mathematics; 1 year, 4 module)Rus
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Research Seminar "Convex and Algebraic Geometry 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
- Research Seminar "Convex and Algebraic Geometry 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
- Research Seminar "Real Algebraic and Toric Geometry" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
Courses (2016/2017)
- Algebra (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Introduction to Discrete Mathematics (Bachelor’s programme; Faculty of Mathematics; 1 year, 4 module)Rus
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Research Seminar "Convex and Algebraic Geometry 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
- Research Seminar "Convex and Algebraic Geometry 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
Courses (2015/2016)
- Algebra (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-3 module)Rus
- Dynamical Systems (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
- Mathematics. Licenciatus (Bachelor’s programme; Faculty of Mathematics; 3 year, 4 module)Rus
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
- Research Seminar "Convex and Algebraic Geometry 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Convex and Algebraic Geometry 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
Publications20
- Article Esterov A. I. Galois theory for general systems of polynomial equations // Compositio Mathematica. 2019. Vol. 155. No. 2. P. 229-245. doi
- Article Alexander Esterov. Characteristic classes of affine varieties and Plücker formulas for affine morphisms // Journal of the European Mathematical Society. 2018. Vol. 20. P. 15-59. doi
- Article Esterov A. I., Takeuchi K. On vanishing theorems for local systems associated to Laurent polynomials // Nagoya Mathematical Journal. 2018. Vol. 231. P. 1-22. doi
- Article Esterov A. I., Voorhaar A. Signs of the Leading Coefficients of the Resultant // Geometric and Functional Analysis. 2017. Vol. 27. No. 1. P. 33-66. doi
- Article Эстеров А. И. Степень бифуркационного множества общего полиномиального отображения // Успехи математических наук. 2017. Т. 72. № 4. С. 197-198. doi
- Article Esterov A. I., Gusev G. G. Multivariate Abel–Ruffini // Mathematische Annalen. 2016. Vol. 365. No. 3. P. 1091-1110. doi
- Preprint Takeuchi K., Esterov A. I., Lemahieu A. On the monodromy conjecture for non-degenerate hypersurfaces / Cornell University. Series math "arxiv.org". 2016. No. arXiv:1309.0630v4.
- Article Esterov A. I., Timorin V. Changing Traditions of Mathematical Education: BSc Program in Mathematics at the National Research University Higher School of Economics // Higher Education in Russia and Beyond. 2015. No. 4(6). P. 22-23.
- Article Esterov A. I., Takeuchi K. Confluent A-hypergeometric functions and rapid decay homology cycles // American Journal of Mathematics. 2015. Vol. 137. No. 2. P. 365-409. doi
- Article Esterov A. I. Math Graduates’ Career Prospects in Modern Russia // Higher Education in Russia and Beyond. 2015. No. 4(6). P. 14-16.
- Article Esterov A. I., Takeuchi K., Ando K. Monodromies at infinity of confluent A-hypergeometric functions // Advances in Mathematics. 2015. Vol. 272. P. 1-19. doi
- Article Esterov A. I., Gusev G. G. Systems of equations with a single solution. // Journal of symbolic computation. 2015. Vol. 68-2. P. 116-130. doi
- Article Esterov A. I. The discriminant of a system of equations // Advances in Mathematics. 2013. Vol. 245. P. 534-572. doi
- Article Takeuchi K., Esterov A. I. Motivic Milnor fibers over complete intersection varieties and their virtual Betti numbers // International Mathematics Research Notices. 2012. No. 15. P. 3567-3613.
- Article Esterov A. I. Multiplicities of degenerations of matrices and mixed volumes of Cayley polyhedra // Journal of Singularities. 2012. Vol. 6. P. 27-36. doi
- Article Esterov A. I. Tropical Varieties with Polynomial Weights and Corner Loci of Piecewise Polynomials // Moscow Mathematical Journal. 2012. Vol. 12. No. 1. P. 55-76.
- Article Esterov A. I. Newton polyhedra of discriminants of projections // Discrete and Computational Geometry. 2010. Vol. 44. No. 1. P. 96-148.
- Article Эстеров А. И. Плотности топологических инвариантов квазипериодических субаналитических множеств // Известия РАН. Серия математическая. 2009. № 3. С. 611-626.
- Article Хованский А. Г., Esterov A. I. Elimination theory and Newton polytopes // Functional Analysis and Other Mathematics. 2008. No. 1. P. 45-71.
- Article Esterov A. I. Existence of mixed fiber bodies // Moscow Mathematical Journal. 2008. No. 3. P. 433-442.
Research projects
Geometry of the space of polynomials with indeterminate coefficients, MESRF МК-6223.2012.1
Topological invariants of singularities, RFBR 10-01-00678
Enumerative geometry of polytopes and polynomials, RFBR 12-01-31233\12
'I’m Glad I Listened to My Heart'
A career in science and technology might sound appealing to the average Russian, but a recent survey showed that most Russians believe men are better suited for this line of work than women. The young women interviewed for this story, a mathematician and a programmer, are of a different opinion.
RF president grants
Congratulations to Associate Professors of our Faculty Evgeny Feigin and Alexander Esterov upon receiving grants of the Russian Federation president for young scientists.
