World's Best Scientists 2026 revealed!

D-Index & Metrics

Physics

D-Index
81
Citations
19067
World Ranking
2969
National Ranking
12

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Algebra
  • Mathematical analysis

Pure mathematics, Matrix, Mathematical physics, Supersymmetry and Gauge theory are his primary areas of study. The Pure mathematics study combines topics in areas such as Conformal map, Unitary matrix and Quantum mechanics. His Matrix research incorporates themes from Partition function, Hierarchy, Partition function, Simple and Hermitian matrix.

His study focuses on the intersection of Mathematical physics and fields such as Field with connections in the field of Coupling, Asymptotic formula, Charge, Scalar field and Homogeneous space. His research investigates the link between Supersymmetry and topics such as Instanton that cross with problems in Integrable system, Quantum chromodynamics, String theory and Seiberg–Witten theory. His work in the fields of Gauge theory, such as Supersymmetric gauge theory, overlaps with other areas such as Elliptic systems.

His most cited work include:

  • Integrability and Seiberg-Witten exact solution (558 citations)
  • On AGT relation in the case of U(3) (327 citations)
  • Nekrasov functions and exact Bohr-Sommerfeld integrals (317 citations)

What are the main themes of his work throughout his whole career to date?

A. D. Mironov mostly deals with Pure mathematics, Mathematical physics, Matrix, Integrable system and Quantum mechanics. His Pure mathematics research integrates issues from Conformal map, Simple, Eigenvalues and eigenvectors and Partition function. A. D. Mironov interconnects Function, Partition function, Quantum electrodynamics and Moduli space in the investigation of issues within Mathematical physics.

His biological study spans a wide range of topics, including Type, Degree, Limit, Gaussian and Hermitian matrix. His study in Integrable system is interdisciplinary in nature, drawing from both Chain, Theoretical physics, Quantum chromodynamics, Spin chain and Gauge theory. His studies deal with areas such as Instanton and Riemann surface as well as Supersymmetry.

He most often published in these fields:

  • Pure mathematics (59.21%)
  • Mathematical physics (31.14%)
  • Matrix (27.63%)

What were the highlights of his more recent work (between 2013-2021)?

  • Pure mathematics (59.21%)
  • Matrix (27.63%)
  • Knot theory (8.33%)

In recent papers he was focusing on the following fields of study:

His main research concerns Pure mathematics, Matrix, Knot theory, Knot and Eigenvalues and eigenvectors. His primary area of study in Pure mathematics is in the field of Hermitian matrix. His Matrix study combines topics in areas such as Hypergeometric distribution, Type, Degree, Fourier transform and Limit.

His research in the fields of Skein relation and Quantum invariant overlaps with other disciplines such as Matrix model. His Eigenvalues and eigenvectors research integrates issues from Ring, Permutation, Quantum group and Yang–Baxter equation. His Gaussian study incorporates themes from Partition function and Integrable system.

Between 2013 and 2021, his most popular works were:

  • Ding–Iohara–Miki symmetry of network matrix models (111 citations)
  • Colored knot polynomials for arbitrary pretzel knots and links (73 citations)
  • Colored knot polynomials for arbitrary pretzel knots and links (73 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

A. D. Mironov spends much of his time researching Pure mathematics, Knot theory, Knot, Skein relation and Quantum invariant. A. D. Mironov combines subjects such as Simple, Matrix model, Knot and Gauge theory with his study of Pure mathematics. His study looks at the intersection of Matrix model and topics like Algebra over a field with Matrix.

His work on Torus knot as part of general Knot theory study is frequently connected to Colored, Torus, Type and Measure, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. As part of the same scientific family, A. D. Mironov usually focuses on Skein relation, concentrating on Knot invariant and intersecting with Jones polynomial. His Gaussian research focuses on Tensor and how it relates to Mathematical physics.

Best Publications

  • Integrability and Seiberg-Witten exact solution

    A. Gorsky;I. Krichever;A. Marshakov;A. Mironov

  • On AGT relation in the case of U(3)

    A. Mironov;A. Morozov

  • Nekrasov functions and exact Bohr-Sommerfeld integrals

    A. Mironov;A. Morozov

  • On non-conformal limit of the AGT relations

    A. Marshakov;A. Marshakov;A. Mironov;A. Mironov;A. Morozov

  • Matrix models of two-dimensional gravity and Toda theory

    A. Gerasimov;A. Marshakov;A. Mironov;A. Morozov

  • Superpolynomials for toric knots from evolution induced by cut-and-join operators

    P. Dunin-Barkowski;A. Mironov;A. Morozov;A. Sleptsov

  • PARTITION FUNCTIONS OF MATRIX MODELS: FIRST SPECIAL FUNCTIONS OF STRING THEORY

    A.S. Alexandrov;A. Morozov;A. Mironov

  • Complete Set of Cut-and-Join Operators in Hurwitz-Kontsevich Theory

    A.Mironov;A.Morozov;S.Natanzon

  • The Power of Nekrasov Functions

    A. Mironov;A. Morozov

  • On AGT relations with surface operator insertion and a stationary limit of beta-ensembles

    Andrei Marshakov;Andrei Mironov;Alexei Morozov

  • GENERALIZED KAZAKOV-MIGDAL-KONTSEVICH MODEL: GROUP THEORY ASPECTS

    S. Kharchev;S. Kharchev;A. Marshakov;A. Marshakov;A. Mironov;A. Mironov;A. Morozov;A. Morozov

  • Partition Functions of Matrix Models as the First Special Functions of String Theory I. Finite Size Hermitean 1-Matrix Model

    A. Alexandrov;A. Mironov;A. Morozov

  • Conformal matrix models as an alternative to conventional multi-matrix models

    S. Kharchev;A. Marshakov;A. Mironov;A. Morozov

  • Conformal blocks and generalized Selberg integrals

    A. Mironov;Alexei Morozov;Andrey Morozov;Andrey Morozov

  • WDVV - like equations in N=2 SUSY Yang-Mills theory

    A. Marshakov;A. Marshakov;A. Mironov;A. Mironov;A. Morozov

  • Generalized Kontsevich model versus Toda hierarchy and discrete matrix models

    S. Kharchev;A. Marshakov;A. Mironov;A. Morozov

  • Matrix model conjecture for exact BS periods and Nekrasov functions

    A. Mironov;A. Morozov;Sh. Shakirov;Sh. Shakirov

  • CONFORMAL BLOCKS AS DOTSENKO–FATEEV INTEGRAL DISCRIMINANTS

    A. Mironov;A. Morozov;Sh. Shakirov;Sh. Shakirov

  • Superpolynomials for torus knots from evolution induced by cut-and-join operators

    P. Dunin-Barkowski;P. Dunin-Barkowski;A. Mironov;A. Morozov;A. Sleptsov;A. Sleptsov

  • A direct proof of AGT conjecture at β = 1

    A. Mironov;A. Morozov;A. Morozov;Sh. Shakirov;Sh. Shakirov

Frequent Co-Authors

Andrei Vladimirovich Marshakov
Andrei Vladimirovich Marshakov Skolkovo Institute of Science and Technology
A. Alexandrov
A. Alexandrov Institute for Theoretical and Experimental Physics
Alexei Morozov
Alexei Morozov Moscow Institute of Physics and Technology
Leonid Chekhov
Leonid Chekhov Michigan State University
Sergei Gukov
Sergei Gukov California Institute of Technology
Alexei Zhedanov
Alexei Zhedanov Renmin University of China
Igor Moiseevich Krichever
Igor Moiseevich Krichever Columbia University
Anton Zabrodin
Anton Zabrodin National Research University Higher School of Economics

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