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Language Proficiency
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Phone:
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Address: Usacheva str., 6 room 331
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SPIN-RSCI: 8913-9550
ORCID: 0000-0002-7643-9963
ResearcherID: A-4337-2011
Scopus AuthorID: 7004282961
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Supervisors
V. Timorin
F. A. Bogomolov
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Misha Verbitsky

  • Misha Verbitsky has been at HSE since 2009.

Education and Degrees

  • 2006

    Diploma
    Independent University of Moscow

  • 2006

    Diploma
    Lomonosov Moscow State University

  • 1995

    PhD
    Harvard University
    Thesis Title: Cohomology of compact hyperkaehler manifolds

  • 1995

    Postgraduate programme
    Harvard University

Research interests

Algebraic geometry, differential geometry,  hyperkahler geometry, calibrations on manifolds quaternionic structures, locally conformally Kaehler manifolds, Yang-Mills theory, Hodge theory

Awards and Accomplishments

Student Term / Thesis Papers

Full list of of student term / thesis papers

Courses (2017/2018)

Courses (2015/2016)

Courses (2014/2015)

Courses (2013/2014)

Courses (2012/2013)

Courses (2011/2012)

Courses (2010/2011)

Editorial board membership

  • 2017: Member of the Editorial Board, Épijournal de Géométrie Algébrique.

  • 2016: Member of the Editorial Board, Journal of Geometry and Physics.

  • 2013: Member of the Editorial Board, Complex Manifolds.

  • 2007–2016: Member of the Editorial Board, Proceedings of the Edinburgh Mathematical Society.

Conferences

  • 2017

    Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва). Presentation: Algebraic and Kahler dimension of nilmanifolds

  • Teichmüller Theory in Higher Dimension and Mirror Symmetry (Анжер). Presentation: Теория Тейхмюллера

  • Geometry and Topology Seminar (Technion) (Хайфа). Presentation: Ergodic complex structures

  • 2016
    Школа-конференция по теории струн, интегрируемым моделям и теории представлений (Москва). Presentation: Миникурс "Спиноры и формула Вайценбека"
  • Школа-конференция по теории струн, интегрируемым моделям и теории представлений (Москва). Presentation: Миникурс "Введение в теорию многообразий Калаби-Яу"
  • Еженедельный семинар Лаборатории алгебраической геометрии (Москва). Presentation: Факторы Кобаяши и эргодические комплексные структуры
  • Coloquio de Matematica UC (UC Mathematics Colloquium) (Сантьяго). Presentation: Automorphisms of hyperkahler manifolds

  • Geometry Over Nonclosed Fields (Мюнхен). Presentation: Constructing automorphisms of hyperkahler manifolds

  • The 1st International Conference on Differential Geometry (Фес). Presentation: Degenerate twistor families

  • Algebraic Geometry Seminar (Нью-Йорк). Presentation: Existence of automorphisms for hyperkahler manifolds

  • Geometry/Topology Seminar (Нью-Йорк). Presentation: Algebraic dimension of nilmanifolds

  • Complex Projective Geometry (Бухарест). Presentation: Birational contractions of hyperkaehler manifolds are diffeomorphic

  • Geometry and Topology seminar (Weizmann Institute) (Реховот). Presentation: Homogeneous dynamic, hyperbolic geometry and cone conjecture

  • Seminar in Real and Complex Geometry (Тель-Авив). Presentation: Pseudoholomorphic curves on 6-sphere and other nearly Kahler manifolds
  • The different faces of geometry, a workshop in honour of Fedor Bogomolov (Ноттингем). Presentation: Cousin groups and generalized Oeljeklaus-Toma manifolds

  • Derived categories and Chow groups of hyperkaehler and Calabi-Yau varieties (Нью-Йорк). Presentation: Perverse coherent sheaves on hyperkahler manifolds and Weil conjectures

  • 2015
    Hyperbolicity in algebraic geometry (Ilhabela). Presentation: Symplectic packing and hyperbolicity
  • Workshop on Hyperkaehler Geometry (Сеул). Presentation: Symplectic packing for Campana simple manifolds
  • Distribution of Rational and Holomorphic Curves in Algebraic Varieties Banff (Банфф). Presentation: MBM classes on hyperkahler manifolds

  • Geometry Over Nonclosed Fields: Geometry and Arithmetic of Holomorphic Symplectic Varieties (Нью-Йорк). Presentation: Proof of Morrison-Kawamata cone conjecture for holomorphically symplectic manifolds

  • 2014
    Differential Geometry Seminar (Brussels). Presentation: Ergodic complex structures and Kobayashi metric
  • Seminaire de geometrie algebrique (Angers). Presentation: Ergodic complex structures and Kobayashi metric
  • Moduli spaces of irreducible symplectic varieties, cubics and Enriques surfaces (Lille). Presentation: Hyperkähler manifolds are non-hyperbolic
  • Complex Geometry and Lie Groups (Турин (Torino)). Presentation: Hypercomplex manifolds of quaternionic dimension 2 and HKT-structures

  • Hebrew University topology and geometry seminar (Иерусалим (Jerusalem)). Presentation: Ergodic complex structures
  • Seminar in Geometry and Topology (Rehovot). Presentation: Kahler threefolds without subvarieties
  • International Congress of Mathematicians 2014 (Seoul). Presentation: Teichmuller spaces, ergodic theory and global Torelli theorem
  • Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва (Moscow)). Presentation: Голоморфные кривые с границей на лагранжевых многообразиях в гиперкэлеровых многообразиях
  • Еженедельный семинар "Геометрические структуры на многообразиях" (Москва (Moscow)). Presentation: Симплектические упаковки и алгебраическая геометрия
  • Еженедельный семинар "Геометрические структуры на многообразиях" (Москва (Moscow)). Presentation: Теорема Агола и другие гипотезы трехмерной геометрии
  • Еженедельный семинар "Геометрические структуры на многообразиях" (Москва (Moscow)). Presentation: Гиперкэлерова структура на пространстве модулей локальных систем и поля Хиггса
  • Еженедельный семинар "Геометрические структуры на многообразиях" (Москва (Moscow)). Presentation: Контрпример к гипотезе Ходжа и группа Мамфорда-Тэйта
  • Еженедельный семинар "Геометрические структуры на многообразиях" (Москва (Moscow)). Presentation: Кватернионы, октавы, группа G_2
  • Еженедельный семинар "Геометрические структуры на многообразиях" (Москва (Moscow)). Presentation: Гипотеза Моррисона-Каваматы о кэлеровом конусе
  • Еженедельный семинар "Геометрические структуры на многообразиях" (Москва (Moscow)). Presentation: Однородные комплексные многообразия
  • Еженедельный семинар "Геометрические структуры на многообразиях" (Москва (Moscow)). Presentation: Полные симплектические упаковки
  • Еженедельный семинар "Геометрические структуры на многообразиях" (Москва (Moscow)). Presentation: Полиэдрально кэлеровы многообразия
  • Еженедельный семинар "Геометрические структуры на многообразиях" (Москва (Moscow)). Presentation: Почти комплексные 6-многообразия
  • Еженедельный семинар "Геометрические структуры на многообразиях" (Москва (Moscow)). Presentation: Симплектические упаковки произвольными телами и эргодическая теория
  • Научный семинар в Университете Тель-Авива (Тель-Авив (Tel-Aviv)). Presentation: Symplectic packing on simple Kahler manifolds, hyperkahler manifolds and tori
  • Научный семинар в Университете Тель-Авива (Тель-Авив (Tel-Aviv)). Presentation: Hypercomplex manifolds of quaternionic dimension 2 and HKT-structures
  • Seoul ICM 2014 Satellite Conference on Topology of Torus Actions and Applications to Geometry and Combinatorics (Тэджон (Daejeon)). Presentation: Complex subvarieties in homogeneous complex manifolds
  • The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles (Сингапур (Singapore)). Presentation: Holography principle and Moishezon twistor spaces
  • G2 manifolds (Нью-Йорк (New York)). Presentation: Kahler structure on the knot space of a G2-manifold
  • Real and Complex Differential Geometry (Бухарест (Bucharest)). Presentation: Kähler threefolds without subvarieties
  • Thematic session "Quaternion-Kähler manifolds and related structures in Riemannian and algebraic geometry" (Joint Meeting of the German Mathematical Society (DMV) and the Polish Mathematical Society (PTM) (Poznań). Presentation: Holography principle and Moishezon twistor spaces
  • Geometry, Topology and Integrability (Москва). Presentation: Симплектические упаковки в гиперкэлеровых многообразиях и торах
  • Lagrangian submanifolds and related topics (Милан (Milano)). Presentation: Pseudoholomorphic curves with boundaries on holomorphic Lagrangian subvarieties
  • Complex Geometry, Analysis and Foliations (Триест (Trieste)). Presentation: Kähler threefolds without subvarieties
  • 2013
    The 6th meeting of "The locally free geometry seminars" (Мадрид). Presentation: Ergodic complex structure on hyperkahler manifolds
  • International Conference on Analytic and Algebraic Geometry related to bundles (Мумбаи). Presentation: Instanton bundles on P3 and rational curves in twistor spaces of Nakajima quivers
  • Moduli Spaces and their Invariants in Mathematical Physics (Монреаль). Presentation: Holography principle and Moishezon twistor spaces
  • Special Lectures in Real and Complex Geometry (Тель-Авив). Presentation: Global Torelli theorem for hyperkaehler manifolds
  • Special Lectures in Real and Complex Geometry (Тель-Авив). Presentation: Ergodic complex structures
  • Seminar in Geometry and Topology (Rehovot). Presentation: Moduli of complex structures and Ratner theory
  • Séminaire de géométrie algébrique de Jussieu (Париж). Presentation: Ergodic complex structures and Kobayashi metric
  • Международная конференция «Геометрия алгебраических многообразий», посвященная памяти В.А.Исковских (Москва). Presentation: Towards the cone conjecture for hyperkaehler manifolds
  • Workshop ”Symplectic Algebraic Geometry” (Киото). Presentation: Ergodic complex structures and Kobayashi metric
  • Третья летняя математическая школа "Алгебра и геометрия" (Ярославль). Presentation: Курс "Симплектическая емкость"
  • Around Torelli's theorem for K3 surfaces. Arithmetic, Geometry and Dynamical aspects (Страсбург). Presentation: Global Torelli theorem for hyperkahler manifolds

  • Around Torelli's theorem for K3 surfaces. Arithmetic, Geometry and Dynamical aspects (Страсбург). Presentation: Ergodic complex structures

  • SCGP Weekly Talks (Нью-Йорк). Presentation: Moduli spaces and the mapping class group

  • Quiver Varieties Program Seminar (Нью-Йорк). Presentation: Towards the Cone Conjecture for Hyperkahler Manifolds

  • Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва (Moscow)). Presentation: Эргодические комплексные структуры в пространстве Тейхмюллера
  • Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва (Moscow)). Presentation: Особая квартика с кручением в третьих гомологиях

IMPA, Geometria Diferencial seminar, Rio de Janeiro
Moduli of symplectic structures
22 de janeiro de 2015, 15:30
http://seminarios.impa.br/visualizar?id=6135

Hyperbolicity 2015
Holomorphic dynamics school
Hyperbolicity in algebraic geometry conference
January 5 to January 15
Ilhabela, Sao Paulo, Brazil
http://verbit.ru/MATH/TALKS/Ergo/Ilhabela/Ergo1-Ilhabela-Jan-6-2015.pdf
http://verbit.ru/MATH/TALKS/Ergo/Ilhabela/Ergo2-Ilhabela-Jan-7-2015.pdf
http://verbit.ru/MATH/TALKS/Ergo/Ilhabela/Ergo1-Ilhabela-Jan-8-2015.pdf
Misha Verbitsky, Mapping class group and moduli spaces (3 lectures)
http://verbit.ru/MATH/TALKS/Symplectic-Packing-Ilhabela-2015.pdf
Misha Verbitsky, Symplectic packing and hyperbolicity

Workshop on Hyperkaehler Geometry,
March 2-6, 2015, KIAS, Seoul
http://home.kias.re.kr/MKG/h/WHG2015/
http://verbit.ru/MATH/TALKS/Symplectic-Packing-Seoul-2015.pdf

http://www.birs.ca/events/2015/5-day-workshops/15w5169
Distribution of Rational and Holomorphic Curves in
Algebraic Varieties Banff, Alberta, Canada, March 15-20, 2015
"MBM classes on hyperkahler manifolds"
http://verbit.ru/MATH/TALKS/MBM-Banff-2015.pdf

Geometry Over Nonclosed Fields: Geometry and Arithmetic of
Holomorphic Symplectic Varieties
March 22С28, 2015
http://verbit.ru/MATH/TALKS/Mor-Kaw-SimonsS-2015.pdf
Proof of Morrison-Kawamata cone conjecture
for holomorphically symplectic manifolds
https://www.simonsfoundation.org/mathematics-and-physical-science/simons-symposia/geometry-over-non-closed-fields-2015/

Publications

Books2

Articles and book chapters61


Working papers38

Timetable for today

Full timetable

‘Studying with Enthusiastic People Around is Fun’

In 2015 eight graduates from the HSE Faculty of Mathematics started PhD programmes at MIT, McGill, Caltech, Pennsylvania State University and other top universities. HSE 4th year student Dmitry Pirozhkov who has got a place at Columbia University talked to the HSE News Service about how to get onto a prestigious PhD programme and about his expectations and academic plans.