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Yuri Prokhorov

  • Yuri Prokhorov has been at HSE University since 2010.

Education, Degrees and Academic Titles

  • 2019
    Corresponding Member of the Russian Academy of Sciences
  • 2010
  • 2010

    Doctor of Sciences* in Mathematical Logic, Algebra and Number Theory
    Steklov Institute

  • 1986

    Lomonosov Moscow State University

* Doctor of Sciences
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.

Editorial board membership

  • 2021: Member of the Editorial Board, Успехи математических наук (Russian Mathematical Surveys).

  • 2018: Member of the Editorial Board, Bulletin of the Korean Mathematical Society.

  • 2017: Member of the Editorial Board, International Journal of Mathematics.

  • 1995: Member of the Editorial Board, Фундаментальная и прикладная математика (Journal of Mathematical Sciences).


  • 2021
    Primorie Mathematical Fair (Владивосток). Presentation: Finite groups of birational automorphisms
  • Десятая летняя математическая школа и международная конференция «Алгебра и геометрия» (Ярославль). Presentation: Рациональность алгебраических многообразий, представимых в виде расслоений на коники
  • 8th European Congress of Mathematics (Портрож). Presentation: Finite groups of birational transformations

  • Mini-workshop "Algebraic groups: the White Nights season" (St. Petersburg). Presentation: Fano varieties with interesting automorphism groups
  • Summer Geometry Fest (Moscow). Presentation: Birational transformations of conic bundles
  • Higher-dimensional algebraic varieties in honor of Professor Shigefumi Mori's 70th birthday (Kyoto). Presentation: Threefold extremal contractions

  • Algebraic Geometry in Angers (Angers). Presentation: On extension of pluricanonical forms defined on the central fiber of a Kähler family

  • Multidimensional Residues and Tropical Geometry (Сочи). Presentation: Automorphism groups of compact complex varieties

  • 2017

    Spring Meeting on Algebraic Geometry (Тегеран). Presentation: Smoothings of log canonical surface singularities and applications

  • 2016

    Séminaire de'l Institut Fourier, Grenoble, Laboratoire de mathematiques (Гренобль). Presentation: On classification of singular Fano threefolds

  • Cremona Conference (Базель). Presentation: Automorphism groups of Fano threefolds

  • Cremona Conference (Базель). Presentation: p-subgroups of the space Cremona group

  • 2015
    Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва). Presentation: Трехмерная программа минимальных моделей: старые и новые результаты.
  • Научный семинар института Макса Планка (Бонн). Presentation: Finite groups of birational automorphisms of algebraic varieties
  • Workshop on Projective Algebraic Geometry (celebrating Fyodor Zak's 65th birthday) (Москва (Moscow)). Presentation: Singular Fano threefolds of type V22
  • Categorical and analytic invariants in algebraic geometry II (Токио, Кашива). Presentation: Flips and divisorial contractions of exceptional type
  • International conference "Categorical and analytic invariants in Algebraic geometry" (Москва). Presentation: Degenerations of del Pezzo surfaces in terminal Q-Gorenstein families
  • Algebraic Geometry and Applications to Physics and Dynamics (Санкт-Петербург). Presentation: Effective results in the three-dimensional minimal model program
  • Algebraic Geometry Seminar, IBS Center for Geometry and Physics (Pohang). Presentation: Jordan property of groups of birational self-maps
  • Korea Institute for Advanced Study (KIAS) algebraic geometry seminar (Seoul). Presentation: Finite groups of birational automorphisms of algebraic varieties
  • 2014
    3rd Swiss-French workshop on algebraic geometry (Enney). Presentation: Mini-course "Finite subgroups of the space Cremona group and Fano threefolds" (5 lectures)
  • Frontiers of Rationality (Longyearbyen). Presentation: On Stable Conjugacy of Finite Subgroups of the Cremona Group
  • Landau-Ginzburg Theory and Fano Varieties (경주시 (Gyeongju)). Presentation: Automorphisms of Fano varieties and Jordan properties of Cremona groups
  • Séminaire "Algèbre et géométries" (Grenoble). Presentation: Jordan properties of groups of birational automorphisms
  • Seminar "Algebra and Geometry" (Basel). Presentation: Jordan properties of groups of birational automorphism
  • Complex manifolds, dynamics and birational geometry (Москва (Moscow)). Presentation: Finite groups of birational automorphisms of algebraic varieties
  • European Mathematical Society School "New Perspectives on the classification of Fano Manifolds" (Udine). Presentation: Explicit birational geometry and Fano varieties (5 lectures and exercise classes)
  • Традиционная зимняя сессия МИАН–ПОМИ, посвященная теме «Алгебраическая геометрия, К-теория и мотивы» (Санкт-Петербург (Saint-Petersburg)). Presentation: Цилиндрические многообразия Фано
  • 2013
    Workshop on Algebraic Geometry in London (Лондон). Presentation: On threefold extremal contractions
  • Symposium on Projective Algebraic Varieties and Moduli (Yeosu). Presentation: Cylindricity of Fano varieties
  • Edge Days 2013: A Workshop on Algebraic Geometry (Эдинбург). Presentation: G-Fano threefolds and Cremona groups
  • LMS Invited Lectures 2013: Fedor Bogomolov (Эдинбург). Presentation: On stable conjugacy of finite subgroups of the plane Cremona group
  • Международная конференция "Алгебраическая геометрия, алгебра и теория чисел", посвященная 90-летию академика Игоря Ростиславовича Шафаревича (Москва). Presentation: О стабильной эквивалентности подгрупп группы Кремоны
  • Algebra, Combinatorics, Dynamics and Applications (Белфаст). Presentation: Jordan property for groups of birational selfmaps
  • Ежегодная мемориальная конференция памяти Андрея Николаевича Тюрина (Москва). Presentation: Свойство цилиндричности для многообразий
  • Workshop "Quantum and motivic cohomology, Fano varieties and mirror symmetry" (Санкт-Петербург (Saint-Petersburg)). Presentation: Automorphisms of Fano varieties and Cremona groups
  • Special Program in Algebraic Geometry and Representation Theory (Taipei). Presentation: Minicourse on G - varieties (3 lectures)



Articles and book chapters58


Article Prokhorov Y. On G-Fano threefolds / Пер. с рус.: Y. Prokhorov. // Izvestiya. Mathematics. 2015. Vol. 79 . No. 4. P. 795-808.

Working papers38

Permanent adress

Steklov Mathematical Institute,  Leading Researcher

Research interests

Birational algebraic geometry,
Classification of algebraic varieties,
Mori theory,
Invariant theory

Personal webpage

HSE University Researchers to Speak at the International Congress of Mathematicians

The speakers of the International Congress of Mathematicians, a key global mathematics event held every four years by the International Mathematical Union, have been announced. The next ICM will take place in St. Petersburg, Russia, in July 2022. Five researchers from the HSE Faculty of Mathematics will present their papers at the congress.

Dissertation Defenses at HSE University Move Online

For the past month, all dissertation defenses at HSE have been conducted online. However, this format is far from new: over the past two years, more than 80% of defenses at HSE University were conducted with at least one committee member attending remotely.

Kostantin Loginov defended his thesis

On April 7th 2020 graduate student of mathematical faculty and research-intern of the Laboratory of Algebraic Geometry Konstantin Loginov successfully defended his Thesis for a degree of Candidate of Science (Ph.D.)

Eight HSE Faculty Members Elected Full and Corresponding Members to the Russian Academy of Sciences

After holding elections at a general meeting on November 14-15, the Russian Academy of Sciences (RAS) has announced its new full and corresponding members. Among those announced, eight new appointees are HSE faculty members.

Traditional summer math-school in Yaroslavl

Eighth summer school "Algebra and Geometry" has finished

Scientists From HSE Awarded New Grants from RSF

The Russian Science Foundation has announced the most recent winners of three-year grants for scientific research. Among the recipients are a number of projects carried out by scientists at the Higher School of Economics.