2026 Igor V. Dolgachev: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	33	3004	2683	1214	1017	173	6533

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

3004

2683

1214

1017

173

6533

Overview

Igor V. Dolgachev is affiliated with the University of Michigan-Ann Arbor in the United States. The primary area of research centers on Mathematics, with a focus on several subfields including Geometry and Topology, Mathematical Physics, Algebra and Number Theory, Discrete Mathematics and Combinatorics, and Computational Mechanics.

The main topics of their scholarly work cover:

Algebraic Geometry and Number Theory
Advanced Algebra and Geometry
Advanced Differential Equations and Dynamical Systems
Finite Group Theory Research
Commutative Algebra and Its Applications
Advanced Numerical Analysis Techniques
Polynomial and algebraic computation

Recent publications by Igor V. Dolgachev include:

Automorphism groups of rational elliptic and quasi-elliptic surfaces in all characteristics, 2022, Advances in Mathematics
The tetrahedron and automorphisms of Enriques and Coble surfaces of Hessian type, 2020, Annales Henri Lebesgue
Automorphisms of del Pezzo surfaces of degree 2 in characteristic 2, 2022, arXiv (Cornell University)
Automorphisms of del Pezzo surfaces in odd characteristic, 2024, Journal of the London Mathematical Society
Chilean configuration of conics, lines and points, 2021, ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE

The frequent co-authors collaborating with Igor V. Dolgachev include Gebhard Martin, Shigeyuki Kondō, Antonio Laface, Ulf Persson, and Giancarlo Urzúa.

The scholar's work is often published in venues such as:

arXiv (Cornell University)
Advances in Mathematics
Journal of the London Mathematical Society
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
Bulletin of the London Mathematical Society

Best Publications

Classical Algebraic Geometry: A Modern View

Igor V. Dolgachev

762
Citations
Weighted projective varieties

Igor Dolgachev

689
Citations
Mirror symmetry for lattice polarizedK3 surfaces

Igor V. Dolgachev

666
Citations
Classical algebraic geometry

Igor V. Dolgachev

577
Citations
Lectures on Invariant Theory

Igor V. Dolgachev

528
Citations
Variation of Geometric Invariant Theory Quotients

Igor V. Dolgachev;Yi Hu

472
Citations
Point sets in projective spaces and theta functions

David Ortland;Igor V. Dolgachev

451
Citations
Enriques Surfaces I

Francois R. Cossec;Igor V. Dolgachev;Dolgachev;F. Cossec

404
Citations
Finite Subgroups of the Plane Cremona Group

Igor V. Dolgachev;Vasily A. Iskovskikh

273
Citations
Polar Covariants of Plane Cubics and Quartics

I. Dolgachev;V. Kanev

189
Citations
The Hesse pencil of plane cubic curves

Michela Artebani;Igor V. Dolgachev

130
Citations
Rational surfaces with a large group of automorphisms

Serge Cantat;Igor Dolgachev

104
Citations
A Complex Ball Uniformization of the Moduli Space of Cubic Surfaces Via Periods of K3 Surfaces

I. Dolgachev;B. van Geemen;S. Kondo

101
Citations
Arrangements of hyperplanes and vector bundles on $P^n$

Unknown

101
Citations
Moduli of K3 Surfaces and Complex Ball Quotients

Igor V. Dolgachev;Shigeyuki Kondō

99
Citations
A Character Formula for the Representation of a Weyl Group in the Cohomology of the Associated Toric Variety

I. Dolgachev;V. Lunts

97
Citations
Polar Cremona transformations

Igor V. Dolgachev

96
Citations
Reflection groups in algebraic geometry

Igor V. Dolgachev

96
Citations
A supersingular K3 surface in characteristic 2 and the Leech lattice

I. Dolgachev;S. Kondō

90
Citations
On automorphisms of Enriques surfaces

Igor V. Dolgachev;Igor V. Dolgachev

86
Citations
Automorphic forms and quasihomogeneous singularities

Unknown

83
Citations
On the Link Space of a Gorenstein Quasihomogeneous Surface Singularity

Igor V. Dolgachev

81
Citations
Integral quadratic forms : applications to algebraic geometry

Igor Dolgachev

72
Citations
On the fundamental group of the complement to a discriminant variety

Igor Dolgachev;Anatoly Libgober

69
Citations

Frequent Co-Authors

Benson Farb University of Chicago

Eduard Looijenga Utrecht University

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