World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
34
Citations
7056
World Ranking
2862
National Ranking
25

Overview

Dmitri Orlov is affiliated with the Steklov Mathematical Institute in the Russian Federation. Their research spans multiple areas within mathematics, with a focus on algebraic structures, geometry, topology, and mathematical physics.

The scientist's main field of study is mathematics, encompassing 25 publications across several subfields, including:

  • Geometry and Topology
  • Algebra and Number Theory
  • Mathematical Physics
  • Statistical and Nonlinear Physics
  • Applied Mathematics

Key topics in their work include:

  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra
  • Nonlinear Waves and Solitons
  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Algebra and Geometry
  • Algebraic Geometry and Number Theory
  • Mathematical Analysis and Transform Methods

Dmitri Orlov has published extensively in several mathematical journals. The frequently appearing venues for their work include:

  • Успехи математических наук
  • Russian Mathematical Surveys
  • arXiv (Cornell University)
  • Advances in Mathematics
  • Итоги науки и техники Серия "Современная математика и ее приложения Тематические обзоры"

Recent papers authored by Dmitri Orlov demonstrate a concentration on differential graded (DG) algebras and their properties. Selected publications are:

  • "Finite-dimensional differential graded algebras and their geometric realizations," 2020, Advances in Mathematics
  • "Twisted tensor products of DG algebras," 2021, Russian Mathematical Surveys
  • "Smooth DG algebras and twisted tensor product," 2023, Russian Mathematical Surveys
  • "Скрученные тензорные произведения ДГ алгебр," 2021, Успехи математических наук
  • "Smooth DG algebras and twisted tensor product," 2023, Успехи математических наук

Collaborations have been a significant aspect of their academic career. Frequent co-authors include:

  • Sergey Gorchinskiy
  • Valery Vasil'evich Kozlov
  • Dmitry Treschev
  • Vladimir L. Popov
  • Yuri Prokhorov

Best Publications

  • Semiorthogonal decomposition for algebraic varieties

    A. Bondal;D. Orlov

  • TRIANGULATED CATEGORIES OF SINGULARITIES AND D-BRANES IN LANDAU-GINZBURG MODELS

    Dmitri O. Orlov

  • Equivalences of derived categories and K3 surfaces

    Dmitri Orlov

  • Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities

    Dmitri Orlov

  • Reconstruction of a variety from the derived category and groups of autoequivalences

    Alexei Bondal;Dmitri Orlov

  • Derived Categories of Coherent Sheaves

    A. Bondal;D. Orlov

  • PROJECTIVE BUNDLES, MONOIDAL TRANSFORMATIONS, AND DERIVED CATEGORIES OF COHERENT SHEAVES

    D O Orlov

  • Mirror symmetry for weighted projective planes and their noncommutative deformations

    Denis Auroux;Ludmil Katzarkov;Dmitri O. Orlov

  • An exact sequence for $K_st^M/2$ with applications to quadratic forms

    Dmitri Orlov;Alexander Vishik;Vladimir Voevodsky

  • Uniqueness of enhancement for triangulated categories

    Valery A. Lunts;Dmitri O. Orlov

  • Remarks on A-branes, mirror symmetry, and the Fukaya category

    Anton Kapustin;Dmitri Orlov

  • Mirror symmetry for Del Pezzo surfaces: Vanishing cycles and coherent sheaves

    Denis Auroux;Ludmil Katzarkov;Dmitri Orlov

  • Triangulated categories of singularities and equivalences between Landau-Ginzburg models

    Dmitri Orlov

  • An exact sequence for Milnor's K-theory with applications to quadratic forms

    Dmitry Orlov;Alexander Vishik;Vladimir Voevodsky

  • Derived categories of coherent sheaves on Abelian varieties and equivalences between them

    Dmitri Orlov

  • Derived categories of coherent sheaves and equivalences between them

    D O Orlov

  • Noncommutative Instantons and Twistor Transform

    Anton Kapustin;Alexander Kuznetsov;Dmitri Orlov

  • REMARKS ON GENERATORS AND DIMENSIONS OF TRIANGULATED CATEGORIES

    Dmitri Orlov

  • Vertex Algebras, Mirror Symmetry, and D-Branes: The Case of Complex Tori

    Anton Kapustin;Dmitri Orlov

  • SMOOTH AND PROPER NONCOMMUTATIVE SCHEMES AND GLUING OF DG CATEGORIES

    Dmitri Orlov

  • Триангулированные категории особенностей и эквивалентности между моделями Ландау - Гинзбурга@@@Triangulated categories of singularities and equivalences between Landau - Ginzburg models

    Дмитрий Олегович Орлов;Dmitri Olegovich Orlov

Frequent Co-Authors

Andreas Wolf
Andreas Wolf Max Planck Society
Yuri I. Manin
Yuri I. Manin Max Planck Institute for Mathematics
S. P. Novikov
S. P. Novikov Russian Academy of Sciences
David Kazhdan
David Kazhdan Hebrew University of Jerusalem
Alexander Kuznetsov
Alexander Kuznetsov Steklov Mathematical Institute
Vladimir Voevodsky
Vladimir Voevodsky Institute for Advanced Study

External Links

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students studying Mathematics in the USA, exploring related online degrees can open diverse career opportunities. Many pursue advanced business degrees to complement their quantitative skills. Programs like the cheapest AACSB online DBA offer a cost-effective path to doctoral-level business expertise, ideal for those interested in academic or consultancy roles.

Those aiming to specialize in financial sectors often consider an online masters in finance programs. These blend analytical and practical skills tailored for careers in investment, banking, and financial analysis.

For accelerated advancement, accelerated online MBA programs offer an efficient route to leadership roles, allowing students to earn their degrees faster without compromising quality.

Mathematics graduates with an interest in market dynamics can explore a masters in marketing, combining analytical rigor with creative strategy to thrive in digital marketing, consumer analytics, and brand management.

Best Scientists Citing Dmitri Orlov

Trending Scientists

Recently Published Articles