Mikhail Verbitskiy

Bolsista de Produtividade em Pesquisa do CNPq - Nível 1C

  • Endereço para acessar este CV: http://lattes.cnpq.br/8645866158372993
  • Última atualização do currículo em 06/06/2018


Possui doutorado em Cohomology of Hyperkahker Manifolds - Harvard University (1995). Atualmente é pesquisador titular do Instituto Nacional de Matemática Pura e Aplicada. Tem experiência na área de Matemática, com ênfase em Matemática (Texto informado pelo autor)


Identificação


Nome
Mikhail Verbitskiy
Nome em citações bibliográficas
VERBITSKIY, M.;Verbitsky, Misha;Verbitsky, M.;Verbitsky, MS;VERBITSKY, M S;Verbitsky, Mikhail;Verbitskii, MS;MISHA VERBITSKY

Endereço


Endereço Profissional
Instituto Nacional de Matemática Pura e Aplicada.
Estrada Dona Castorina
Jardim Botânico
22460320 - Rio de Janeiro, RJ - Brasil
Telefone: (5521) 25295144


Formação acadêmica/titulação


1991 - 1995
Doutorado em Quantum groups.
Harvard University, HARVARD, Estados Unidos.
Título: Cohomology of hyperkahler manifolds, Ano de obtenção: 1995.
Orientador: David Kazhdan.
1989
Graduação em andamento em Mathematics.
Independent University of Moscow, IUM, Rússia.




Atuação Profissional



Instituto Nacional de Matemática Pura e Aplicada, IMPA, Brasil.
Vínculo institucional

2017 - Atual
Vínculo: Servidor Público, Enquadramento Funcional: Pesquisador Titular



Membro de corpo editorial


2017 - Atual
Periódico: JOURNAL OF GEOMETRY AND PHYSICS
2016 - Atual
Periódico: Épijournal de Géométrie Algébrique
2013 - Atual
Periódico: Complex Manifolds
2007 - 2014
Periódico: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY


Áreas de atuação


1.
Grande área: Ciências Exatas e da Terra / Área: Matemática.
2.
Grande área: Ciências Exatas e da Terra / Área: Matemática / Subárea: hyperkahler geometry.
3.
Grande área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Complex geometry.
4.
Grande área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Kahler geometry.
5.
Grande área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Quaternionic geometry.


Idiomas


Inglês
Compreende Bem, Fala Bem, Lê Bem, Escreve Bem.
Russo
Compreende Bem, Fala Bem, Lê Bem, Escreve Bem.
Francês
Compreende Pouco, Fala Pouco, Lê Razoavelmente, Escreve Pouco.


Produções



Produção bibliográfica
Citações

SCOPUS
Total de trabalhos:78
Total de citações:557
https://www.scopus.com/cto2/main.uri?ctoId=CTODS_951847586&authors=7004282961&origin=AuthorNamesList  Data: 30/08/2017

Artigos completos publicados em periódicos

1.
ORNEA, LIVIU2018ORNEA, LIVIU ; Verbitsky, Misha ; VULETESCU, VICTOR . Weighted Bott-Chern and Dolbeault cohomology for LCK-manifolds with potential. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, v. 70, p. 409-422, 2018.

2.
Verbitsky, Misha2017Verbitsky, Misha. Transcendental Hodge algebra. Selecta Mathematica-New Series, v. 23, p. 2203-2218, 2017.

3.
Kamenova, L.2017Kamenova, L. ; Verbitsky, Misha . Algebraic nonhyperbolicity of hyperkähler manifolds with picard rank greater than one. New York Journal of Mathematics, v. 23, p. 489, 2017.

4.
AMERIK, EKATERINA2017AMERIK, EKATERINA ; Verbitsky, Misha . Construction of automorphisms of hyperkähler manifolds. COMPOSITIO MATHEMATICA, v. 153, p. 1610-1621, 2017.

5.
GRANTCHAROV, GUEO2017GRANTCHAROV, GUEO ; LEJMI, MEHDI ; Verbitsky, Misha . Existence of HKT metrics on hypercomplex manifolds of real dimension 8. ADVANCES IN MATHEMATICS, v. 320, p. 1135-1157, 2017.

6.
EKATERINA AMERIK2017EKATERINA AMERIK ; MISHA VERBITSKY . Morrison-Kawamata cone conjecture for hyperkähler manifolds. ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, v. 50, p. 973-993, 2017.

7.
2016Verbitsky, Misha . LCK rank of locally conformally Kähler manifolds with potential. JOURNAL OF GEOMETRY AND PHYSICS, v. 107, p. 92-98, 2016.

8.
PANOV, TARAS2016PANOV, TARAS ; USTINOVSKIY, YURY ; Verbitsky, Misha . Complex geometry of moment-angle manifolds. MATHEMATISCHE ZEITSCHRIFT, v. 284, p. 309-333, 2016.

9.
ENTOV, MICHAEL2016ENTOV, MICHAEL ; Verbitsky, Misha . Unobstructed symplectic packing for tori and hyper-Kähler manifolds. Journal of Topology and Analysis, v. 08, p. 589-626, 2016.

10.
Verbitsky, Misha2015Verbitsky, Misha. Ergodic complex structures on hyperkähler manifolds. ACTA MATHEMATICA, v. 215, p. 161-182, 2015.

11.
AMERIK, E.2015AMERIK, E. ; Verbitsky, M. . Rational Curves on Hyperkähler Manifolds. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, v. 23, p. rnv133, 2015.

12.
AMERIK, EKATERINA2015AMERIK, EKATERINA ; Verbitsky, Misha . Teichmüller space for hyperkähler and symplectic structures. JOURNAL OF GEOMETRY AND PHYSICS, v. 97, p. 44-50, 2015.

13.
Verbitsky, Misha2015Verbitsky, Misha. Degenerate twistor spaces for hyperkähler manifolds. JOURNAL OF GEOMETRY AND PHYSICS, v. 91, p. 2-11, 2015.

14.
SOLDATENKOV, A.2015SOLDATENKOV, A. ; Verbitsky, Misha . k-symplectic structures and absolutely trianalytic subvarieties in hyperkähler manifolds. JOURNAL OF GEOMETRY AND PHYSICS, v. 92, p. 147-156, 2015.

15.
KAMENOVA, LJUDMILA2014KAMENOVA, LJUDMILA ; LU, STEVEN ; Verbitsky, Misha . Kobayashi pseudometric on hyperkähler manifolds. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, v. 90, p. 436-450, 2014.

16.
JARDIM, MARCOS2014JARDIM, MARCOS ; Verbitsky, Misha . Trihyperkähler reduction and instanton bundles on. COMPOSITIO MATHEMATICA, v. 150, p. 1836-1868, 2014.

17.
KAMENOVA, LJUDMILA2014KAMENOVA, LJUDMILA ; Verbitsky, Misha . Families of Lagrangian fibrations on hyperkähler manifolds. ADVANCES IN MATHEMATICS, v. 260, p. 401-413, 2014.

18.
Verbitsky, Misha2014Verbitsky, Misha. Rational curves and special metrics on twistor spaces. GEOMETRY & TOPOLOGY (ONLINE), v. 18, p. 897-909, 2014.

19.
Verbitsky, Misha2014Verbitsky, Misha. Holography principle for twistor spaces. Pure and Applied Mathematics Quarterly, v. 10, p. 325-354, 2014.

20.
Verbitsky, Misha2013Verbitsky, Misha. Mapping class group and a global Torelli theorem for hyperkähler manifolds. DUKE MATHEMATICAL JOURNAL, v. 162, p. 2929-2986, 2013.

21.
SOLDATENKOV, ANDREY2013SOLDATENKOV, ANDREY ; Verbitsky, Misha . Holomorphic Lagrangian Fibrations on Hypercomplex Manifolds. International Mathematics Research Notices, v. 2015, p. 981-994, 2013.

22.
Verbitsky, Misha2013Verbitsky, Misha. Pseudoholomorphic Curves on Nearly Kähler Manifolds. COMMUNICATIONS IN MATHEMATICAL PHYSICS, v. 324, p. 173-177, 2013.

23.
ANAN'IN, SASHA2013ANAN'IN, SASHA ; Verbitsky, Misha . Any component of moduli of polarized hyperkähler manifolds is dense in its deformation space. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, v. 101, p. S00217824130008, 2013.

24.
GRANTCHAROV, GUEO2013GRANTCHAROV, GUEO ; Verbitsky, Misha . CALIBRATIONS IN HYPER-KÄHLER GEOMETRY. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, v. 15, p. 1250060, 2013.

25.
ORNEA, LIVIU2013ORNEA, LIVIU ; Verbitsky, Misha . Locally conformally Kähler manifolds admitting a holomorphic conformal flow. MATHEMATISCHE ZEITSCHRIFT, v. 273, p. 605-611, 2013.

26.
SOLDATENKOV, ANDREY2012SOLDATENKOV, ANDREY ; Verbitsky, Misha . Subvarieties of hypercomplex manifolds with holonomy in. JOURNAL OF GEOMETRY AND PHYSICS, v. 62, p. 2234-2240, 2012.

27.
ORNEA, LIVIU2012ORNEA, LIVIU ; Verbitsky, Misha ; VULETESCU, VICTOR . Blow-ups of Locally Conformally Kähler Manifolds. International Mathematics Research Notices, v. 2013, p. 2809-2821, 2012.

28.
Verbitsky, Misha2012Verbitsky, Misha. A formally Kähler structure on a knot space of a G 2-manifold. Selecta Mathematica-New Series, v. 18, p. 539-555, 2012.

29.
JARDIM, MARCOS2011JARDIM, MARCOS ; Verbitsky, Misha . Moduli spaces of framed instanton bundles on and twistor sections of moduli spaces of instantons on. ADVANCES IN MATHEMATICS, v. 227, p. 1526-1538, 2011.

30.
ORNEA, LIVIU2011ORNEA, LIVIU ; Verbitsky, Misha . Automorphisms of Locally Conformally Kähler Manifolds. International Mathematics Research Notices, v. 2012, p. 894-903, 2011.

31.
Verbitsky, Misha2011Verbitsky, Misha. Hodge theory on nearly Kähler manifolds. GEOMETRY & TOPOLOGY (ONLINE), v. 15, p. 2111-2133, 2011.

32.
ORNEA, LIVIU2011ORNEA, LIVIU ; Verbitsky, Misha . Oeljeklaus-Toma Manifolds Admitting No Complex Subvarieties. MATHEMATICAL RESEARCH LETTERS, v. 18, p. 747-754, 2011.

33.
Verbitsky, Misha2011Verbitsky, Misha. Hyperholomorphic connections on coherent sheaves and stability. Central European Journal of Mathematics, v. 9, p. 535-557, 2011.

34.
Verbitsky, Misha2011Verbitsky, Misha. Manifolds with parallel differential forms and Kähler identities for -manifolds. JOURNAL OF GEOMETRY AND PHYSICS, v. 61, p. 1001-1016, 2011.

35.
Verbitsky, Misha2011Verbitsky, Misha. A CR twistor space of a , v. 29, p. 101-107, 2011.

36.
Verbitsky, Misha2010Verbitsky, Misha. Hyperkähler Syz Conjecture and Semipositive Line Bundles. GEOMETRIC AND FUNCTIONAL ANALYSIS, v. 19, p. 1481-1493, 2010.

37.
ORNEA, LIVIU2010ORNEA, LIVIU ; Verbitsky, Misha . Locally conformal Kähler manifolds with potential. MATHEMATISCHE ANNALEN, v. 348, p. 25-33, 2010.

38.
Verbitsky, Misha2010Verbitsky, Misha. Plurisubharmonic functions in calibrated geometry and q-convexity. MATHEMATISCHE ZEITSCHRIFT, v. 264, p. 939-957, 2010.

39.
MORARU, RUXANDRA2010MORARU, RUXANDRA ; Verbitsky, Misha . Stable bundles on hypercomplex surfaces. Central European Journal of Mathematics, v. 8, p. 327-337, 2010.

40.
VERBITSKIY, M.2010VERBITSKIY, M.. Positive forms on hyperkähler manifolds. OSAKA JOURNAL OF MATHEMATICS, v. 47, p. 353, 2010.

41.
ALESKER, S.2010ALESKER, S. ; Verbitsky, M. . Quaternionic Monge-Ampère equation and Calabi problem for HKT-manifolds. ISRAEL JOURNAL OF MATHEMATICS, v. 176, p. 109-138, 2010.

42.
ORNEA, L.2009ORNEA, L. ; Verbitsky, M. . Topology of Locally Conformally Kahler Manifolds with Potential. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, v. 2010, p. 717, 2009.

43.
ORNEA, LIVIU2009ORNEA, LIVIU ; Verbitsky, Misha . Morse-Novikov cohomology of locally conformally Kähler manifolds. JOURNAL OF GEOMETRY AND PHYSICS, v. 59, p. 295-305, 2009.

44.
Verbitsky, Misha2009Verbitsky, Misha. Balanced HKT metrics and strong HKT metrics on hypercomplex manifolds. MATHEMATICAL RESEARCH LETTERS, v. 16, p. 735, 2009.

45.
BARBERIS, MARÍA L.2009BARBERIS, MARÍA L. ; DOTTI, ISABEL G. ; Verbitsky, Misha . Canonical bundles of complex nilmanifolds, with applications to hypercomplex geometry. MATHEMATICAL RESEARCH LETTERS, v. 16, p. 331-347, 2009.

46.
Verbitsky, Misha2009Verbitsky, Misha. Positive toric fibrations. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, v. 79, p. 294-308, 2009.

47.
Verbitsky, Misha2008Verbitsky, Misha. An intrinsic volume functional on almost complex 6-manifolds and nearly Kähler geometry. PACIFIC JOURNAL OF MATHEMATICS, v. 235, p. 323-344, 2008.

48.
Verbitsky, Misha2008Verbitsky, Misha. Coherent sheaves on general K3 surfaces and tori. Pure and Applied Mathematics Quarterly, v. 4, p. 651, 2008.

49.
Verbitsky, Misha2007Verbitsky, Misha. Quaternionic Dolbeault complex and vanishing theorems on hyperkähler manifolds. COMPOSITIO MATHEMATICA, v. 143, p. 1576-1592, 2007.

50.
ORNEA, LIVIU2007ORNEA, LIVIU ; Verbitsky, Misha . Embeddings of compact Sasakian manifolds. MATHEMATICAL RESEARCH LETTERS, v. 14, p. 703-710, 2007.

51.
ORNEA, LIVIU2007ORNEA, LIVIU ; Verbitsky, Misha . Sasakian structures on CR-manifolds. GEOMETRIAE DEDICATA, v. 125, p. 159-173, 2007.

52.
ALESKER, SEMYON2006ALESKER, SEMYON ; Verbitsky, Misha . Plurisubharmonic functions on hypercomplex manifolds and HKT-geometry. JOURNAL OF GEOMETRIC ANALYSIS, v. 16, p. 375-399, 2006.

53.
VERBITSKY, M S2006VERBITSKY, M S. Holomorphic bundles on diagonal Hopf manifolds. IZVESTIYA MATHEMATICS, v. 70, p. 867-882, 2006.

54.
ORNEA, LIVIU2005ORNEA, LIVIU ; Verbitsky, Misha . An immersion theorem for Vaisman manifolds. MATHEMATISCHE ANNALEN, v. 332, p. 121-143, 2005.

55.
Verbitsky, M.2005Verbitsky, M.. Hypercomplex structures on Kähler manifolds. GEOMETRIC AND FUNCTIONAL ANALYSIS, v. 15, p. 1275-1283, 2005.

56.
Verbitsky, Misha2005Verbitsky, Misha. Stable bundles on positive principal elliptic fibrations. MATHEMATICAL RESEARCH LETTERS, v. 12, p. 251-264, 2005.

57.
Verbitsky, Misha2005Verbitsky, Misha. Wirtinger numbers and holomorphic symplectic immersions. Selecta Mathematica-New Series, v. 10, p. 551-559, 2005.

58.
Verbitsky, Misha2004Verbitsky, Misha. Subvarieties in non-compact hyperkähler manifolds. MATHEMATICAL RESEARCH LETTERS, v. 11, p. 413-418, 2004.

59.
ORNEA, LIVIU2003ORNEA, LIVIU ; Verbitsky, Misha . Structure theorem for compact Vaisman manifolds. MATHEMATICAL RESEARCH LETTERS, v. 10, p. 799-805, 2003.

60.
Verbitsky, Misha2003Verbitsky, Misha. Hyperkähler manifolds with torsion obtained from hyperholomorphic bundles. MATHEMATICAL RESEARCH LETTERS, v. 10, p. 501-513, 2003.

61.
KALEDIN, D.2002KALEDIN, D. ; Verbitsky, M. . Period Map for Non-Compact Holomorphically Symplectic Manifolds. GEOMETRIC AND FUNCTIONAL ANALYSIS, v. 12, p. 1265-1295, 2002.

62.
Verbitsky, Misha2002Verbitsky, Misha. Hyperkähler manifolds with torsion, supersymmetry and Hodge theory. Asian Journal of Mathematics, v. 6, p. 679-712, 2002.

63.
Verbitsky, Misha2000Verbitsky, Misha. Holomorphic symplectic geometry and orbifold singularities. Asian Journal of Mathematics, v. 4, p. 553-564, 2000.

64.
Verbitsky, Misha1999Verbitsky, Misha. Hypercomplex varieties. COMMUNICATIONS IN ANALYSIS AND GEOMETRY, v. 7, p. 355-396, 1999.

65.
Verbitsky, M.1998Verbitsky, M.. Deformations of trianalytic subvarieties of hyperkähler manifolds. Selecta Mathematica, v. 4, p. 447-490, 1998.

66.
KALEDIN, D.1998KALEDIN, D. ; Verbitsky, M. . Trianalytic subvarieties of generalized Kummer varieties. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, v. 1998, p. 439, 1998.

67.
KALEDIN, D.1998KALEDIN, D. ; Verbitsky, M. . Non-Hermitian Yang-Mills connections. Selecta Mathematica-New Series, v. 4, p. 279-320, 1998.

68.
Verbitsky, Misha1997Verbitsky, Misha. Desingularization of singular hyperkähler varieties I. MATHEMATICAL RESEARCH LETTERS, v. 4, p. 259-271, 1997.

69.
Verbitsky, Misha1996Verbitsky, Misha. Algebraic structures on hyperkähler manifolds. MATHEMATICAL RESEARCH LETTERS, v. 3, p. 763-767, 1996.

70.
Verbitsky, Mikhail1996Verbitsky, Mikhail. Cohomology of compact hyperkähler manifolds and its applications. GEOMETRIC AND FUNCTIONAL ANALYSIS, v. 6, p. 601-611, 1996.

71.
Verbitsky, Misha1996Verbitsky, Misha. Hyperholomorphic bundles over a hyperkähler manifold. JOURNAL OF ALGEBRAIC GEOMETRY, v. 5, p. 633, 1996.

72.
Verbitsky, Misha1996Verbitsky, Misha. Hyperkähler embeddings and holomorphic symplectic geometry. I. JOURNAL OF ALGEBRAIC GEOMETRY, v. 5, p. 401-413, 1996.

73.
Verbitsky, M.1995Verbitsky, M.. Tri-analytic subvarieties of hyperkaehler manifolds. GEOMETRIC AND FUNCTIONAL ANALYSIS, v. 5, p. 92-104, 1995.

Livros publicados/organizados ou edições
1.
Verbitsky, Misha. Basic course of topology: exercises and theorems.. 1. ed. Moscow: Independent University Press, 2017. v. 1. 356p .

2.
Verbitsky, Misha; Dmitry Kaledin . Hyperkahler manifolds. 1. ed. Sommerville: International Press, 1999. 257p .

Apresentações de Trabalho
1.
MISHA VERBITSKY. Algebraic dimension of nilmanifolds. 2018. (Apresentação de Trabalho/Conferência ou palestra).

2.
MISHA VERBITSKY. Contraction loci in hyperkahler manifolds. 2018. (Apresentação de Trabalho/Conferência ou palestra).

3.
MISHA VERBITSKY. Contraction loci in hyperkahler manifolds. 2018. (Apresentação de Trabalho/Conferência ou palestra).

4.
MISHA VERBITSKY. Contraction loci in hyperkähler manifolds. 2018. (Apresentação de Trabalho/Seminário).

5.
MISHA VERBITSKY. Hypercomplex Structures on Kahler Manifolds. 2017. (Apresentação de Trabalho/Seminário).

6.
MISHA VERBITSKY. Transcendental Hodge algebra. 2017. (Apresentação de Trabalho/Conferência ou palestra).

7.
MISHA VERBITSKY. Limits of hyperkahler metrics. 2017. (Apresentação de Trabalho/Conferência ou palestra).



Eventos



Organização de eventos, congressos, exposições e feiras
1.
Kohno, T. ; Alessandro Tomasiello ; Verbitsky, Misha . Supersymmetry in complex geometry. 2009. (Congresso).

2.
BIELAWSKI, R. ; Verbitsky, Misha . Quaternionic structures in algebraic geometry. 2007. (Congresso).



Orientações



Orientações e supervisões em andamento
Tese de doutorado
1.
Dmitry Korshunov. Subriemannian geometry. Início: 2017. Tese (Doutorado em Geometry) - National Research University Higher School of Econ. (Orientador).

2.
Artur Tomberg. Holomorphic bundles on twistor spaces. Início: 2017. Tese (Doutorado em Geometry) - National Research University Higher School of Econ. (Orientador).


Orientações e supervisões concluídas
Dissertação de mestrado
1.
Pavel Osipov. Projective Hessian and Sasakian manifolds. 2018. Dissertação (Mestrado em Mathematics) - National Research University Higher School of Econ, . Orientador: Mikhail Verbitskiy.

2.
Grigori Papayanov. Deformations of Nearly Kahler Manifolds (published as "Goto's deformation theory of geometric structures, a Lie-theoretical description"). 2016. Dissertação (Mestrado em Mathematics) - National Research University Higher School of Econ, . Orientador: Mikhail Verbitskiy.

3.
Alexandra Viktorova. Quaternionic Dolbeault Complex. 2016. Dissertação (Mestrado em Mathematics) - National Research University Higher School of Econ, . Orientador: Mikhail Verbitskiy.

4.
Artour Tomberg. Twistor spaces of hypercomplex manifolds are balanced. 2014. Dissertação (Mestrado em Mathematics) - National Research University Higher School of Econ, . Orientador: Mikhail Verbitskiy.

5.
Dmitry Korshunov. Perelman's stability theorem. 2013. Dissertação (Mestrado em Mathematics) - National Research University Higher School of Econ, . Orientador: Mikhail Verbitskiy.

Tese de doutorado
1.
Nikon Kurnosov. Betti numbers and trianalytic subvarieties of hyperkahler manifolds. 2017. Tese (Doutorado em Geometry) - National Research University Higher School of Econ, . Orientador: Mikhail Verbitskiy.

2.
Andrey Soldatenkov. Geometry of hypercomplex manifolds. 2014. Tese (Doutorado em Geometry) - National Research University Higher School of Econ, . Orientador: Mikhail Verbitskiy.



Educação e Popularização de C & T



Livros e capítulos
1.
Verbitsky, Misha. Basic course of topology: exercises and theorems.. 1. ed. Moscow: Independent University Press, 2017. v. 1. 356p .




Página gerada pelo Sistema Currículo Lattes em 21/10/2018 às 15:45:51