Updated on 2022/03/25

写真a

 
OHTA, Hiroshi
 
Organization
Graduate School of Mathematics Division of Mathematics Advanced Topology Professor
Graduate School
Graduate School of Mathematics
Undergraduate School
School of Science
Title
Professor

Degree 1

  1. 博士(数理科学) ( 1994.2   東京大学 ) 

Research Interests 3

  1. gauge theory

  2. topology

  3. symplectic geometry

Research Areas 1

  1. Others / Others  / Geometry

Current Research Project and SDGs 1

  1. GeometrySymplectic geometry

Professional Memberships 1

  1. 日本数学会

 

Papers 38

  1. Exponential decay estimates and smoothness of the moduli space of pseudoholomorphic curves Reviewed International coauthorship

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

    Memoirs of the American Mathematical Society     page: 1 - 140   2022

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  2. Construction of a linear K-system in Hamiltonian Floer theory Invited Reviewed International coauthorship

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

    Journal of Fixed Point Theory and Applications     2022

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  3. Kuranishi Structures and Virtual Fundamental Chains Reviewed International coauthorship

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

    Springer Monographs in Mathematics series     page: 1 - 638   2020

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1007/978-981-15-5562-6

  4. Meromorphic connections in filtered $A_{¥infty}$ categories Invited Reviewed

    Hiroshi Ohta, Fumihiko Sanda

    Pure and Applied Mathematics Quarterly   Vol. 16 ( 3 ) page: 515 - 556   2020

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    Authorship:Lead author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4310/PAMQ.2020.v16.n3.a7

  5. Spectral invariants with bulk, quasi-morphisms and Lagrangian Floer theory Reviewed International coauthorship

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

    Memoirs of the American Mathematical Society   Vol. 260 ( 1254 ) page: 1 - 266   2019

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1090/memo/1254

  6. Construction of Kuranishi structures on the moduli spaces of pseudo holomorphic disks: I Invited Reviewed International coauthorship

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

    Surveys in Differential Geom. (Celebrating the 50th Anniversary of the Journal of Differential Geometry),   Vol. XXII   page: 133 - 190   2018

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  7. Antisymplectic involution and Floer cohomology Reviewed International coauthorship

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

    Geometry & Topology   Vol. 21 ( 1 ) page: 1 - 106   2017

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.2140/gt.2017.21.1

  8. Lagrangian Floer theory and mirror symmetry on compact toric manifolds Reviewed International coauthorship

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

    Asterisque, Societe Mathematique de France   Vol. 376   page: 1 - 340   2016

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    arXiv

  9. Shrinking good coordinate systems associated to Kuranishi structures Reviewed International coauthorship

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

    J. Symplectic Geom.   Vol. 14 ( 4 ) page: 1295 - 1310   2016

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.4310/JSG.2016.v14.n4.a10

  10. Lagrangian Floer cohomology over integers: Spherically positive symplectic manifolds. Reviewed International coauthorship

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

    Pure and Applied Mathematics Quarterly   Vol. 9 ( 2 ) page: 189 - 289   2013

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  11. Displacement of polydisks and Lagrangian Floer theory Reviewed International coauthorship

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

    J. Symplectic Geom.   Vol. 11 ( 2 ) page: 231 - 268   2013

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  12. Toric degeneration and non-displaceable Lagrangian tori in $S^2 ¥times S^2$ Reviewed International coauthorship

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

    International Mathematics Research Notices   Vol. 2012 ( 13 ) page: 2942 - 2993   2012

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  13. Lagrangian Floer theory on compact toric manifolds: survey Invited Reviewed International coauthorship

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

    Surveys in Differential Geom.   Vol. 17   page: 229 - 298   2012

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  14. Lagrangian Floer theory on compact toric manifolds II: bulk deformations Reviewed International coauthorship

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

    Selecta Mathematica New Series   Vol. 17 ( 3 ) page: 609 - 711   2011

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  15. Lagrangian Floer theory on compact toric manifolds I Reviewed International coauthorship

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

    Duke Math. J.   Vol. 151 ( 1 ) page: 23 - 175   2010

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  16. Anchored Lagrangian submanifolds and their Floer theory Reviewed International coauthorship

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

    Contemp. Math.   Vol. 527   page: 15 - 54   2010

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  17. An inequality for symplectic fillings of the link ofa hypersurface K3 singularity Reviewed

    Hiroshi Ohta, Kaoru Ono

    Banach Center Publications   Vol. 85   page: 93 - 100   2009

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    Authorship:Lead author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  18. Lagrangian Intersection Floer Theory--Anomaly and Obstruction--Part I International coauthorship

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

    AMS/IP Studies in Advanced Math. American Math. Society and International Press   Vol. 46-1   page: 1 - 396   2009

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  19. Lagrangian Intersection Floer Theory--Anomaly and Obstruction--Part II International coauthorship

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

    AMS/IP Studies in Advanced Math. American Math. Society and International Press   Vol. 46-2   page: 397 - 805   2009

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  20. Canonical models of filtered A_{\infty} algebras and Morse complexes Reviewed International coauthorship

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono

    CRM Proc. Lecture Notes, Amer. Math. Soc.   Vol. 49   page: 201 - 227   2009

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  21. Examples of isolated surface singularities whose links have infinitelymany symplectic fillings Invited Reviewed

    Hiroshi Ohta and Kaoru Ono

    J. Fixed Point Theory and Applications. (V. I. Arnold Festschrift Volume)   Vol. 3   page: 51 - 56   2008

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    Authorship:Lead author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  22. Symplectic 4-manifolds containing singular rational curveswith (2,3)-cusp Reviewed

    Hiroshi Ohta, Kaoru Ono

    Seminaires et Congres, Soc. Math. France.   Vol. 10   page: 233 - 241   2005

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    Authorship:Lead author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  23. Simple singularities and symplectic fillings Reviewed

    Hiroshi Ohta, Kaoru Ono

    J. Differential Geom.   Vol. 69   page: 1 - 42   2005

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    It is proved that the symplectic deformation type of the minimal symplectic fillings of the links of simple singularities is unique. Moreover, the symplectic isotopy problem for cuspidal cubic curves is solved.

  24. Symplectic fillings of the link of simple elliptic singularities Reviewed

    Hiroshi Ohta, Kaoru Ono

    J. Reine Angew. Math.   Vol. 565   page: 183 - 205   2003

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    Authorship:Lead author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  25. Brieskorn manifolds and metrics of positive scalar curvature Reviewed

    Hiroshi Ohta

    Advance Studies Pure Math.   Vol. 34   page: 231 - 236   2002

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    Authorship:Lead author, Last author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  26. Obstruction to and deformation of Lagrangian intersection Floer cohomology Invited Reviewed

    Hiroshi Ohta

    Proceedings of ``Symplectic Geometry and Mirror Symmetry''(World Scientific)     page: 281 - 309   2001

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    Authorship:Lead author, Last author, Corresponding author   Language:English   Publishing type:Research paper (international conference proceedings)  

  27. 中島啓氏の業績ー特殊単調体の幾何学と表現論との交叉ー Invited Reviewed

    太田啓史

    数学   Vol. 52 ( 4 ) page: 395 - 404   2000

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    Language:Japanese  

  28. Lagrangian intersection Floer theory--Anomaly and obstruction-- International coauthorship

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta and Kaoru Ono

    Kyoto-Math preprint series   Vol. 00-17   page: p.348   2000

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    Language:English   Publishing type:Research paper (scientific journal)  

  29. Simple singularities and topology of symplectically filling 4-manifold Reviewed

    Hiroshi Ohta, Kaoru Ono

    Commentarii Mathematici Helv.   Vol. 74   page: 575 - 590   1999

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    Authorship:Lead author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  30. Symplectic 4-manifolds with b+2=1 Reviewed

    Hiroshi Ohta, Kaoru Ono

    Lecture Notes in Pure and Applied Math.   Vol. 184   page: 237 - 244   1996

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  31. Notes on symplectic 4-manifolds with b+2=1, II Reviewed

    Hiroshi Ohta, Kaoru Ono

    International J. of Math.   Vol. 7   page: 755 - 770   1996

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  32. Notes on symplectic 4-manifolds with b+2=1 Reviewed

    Hiroshi Ohta, Kaoru Ono

    Lecture Notes in Pure and Applied Math.   Vol. 179   page: 209 - 212   1996

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    Authorship:Lead author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  33. Spin structures on moduli spaces of Yang-Mills connections

        1994

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    Language:English  

  34. An integral lift of the Rochlin invariant and gauge theory

        1994

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    Language:English  

  35. Differentiable structures on punctured 4-manifolds Reviewed

    Mikio Furuta, Hiroshi Ohta

    Topology and its Applications   Vol. 51   page: 291 - 301   1993

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  36. On harmonic maps from CP1 to ΩSU(n) Reviewed

    Hiroshi Ohta

    Scientific Papers of the College of Arts and Sciences, The University of Tokyo   Vol. 41 ( 2 ) page: 83 - 93   1991

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    Authorship:Lead author, Last author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  37. Intersection forms of 4-manifolds with a homology 3-sphere boundary Reviewed

    Hiroshi Ohta

    J. of the Faculty of Science, The University of Tokyo   Vol. 38 ( 1 ) page: 73 - 97   1991

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    Authorship:Lead author, Last author, Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

  38. On the fundamental groups of moduli spaces of irreducible SU(2)-connections over closed 4-manifolds Reviewed

    Hiroshi Ohta

    Proceedings of the Japan Academy   Vol. 66 ( 3 ) page: 89 - 92   1990

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Books 6

  1. Kuranishi Structures and Virtual Fundamental Chains Reviewed International journal

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono( Role: Joint author)

    Springer  2020  ( ISBN:978-981-15-5561-9

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    Total pages:638   Language:English Book type:Scholarly book

  2. Lagrangian Floer theory and mirror symmetry on compact toric manifolds Reviewed International journal

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono( Role: Joint author)

    Societe Mathematique de France  2016  ( ISBN:978-2-85629-825-1

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    Total pages:340   Language:English Book type:Scholarly book

  3. Lagrangian Intersection Floer Theory--Anomaly and Obstruction--Part II International journal

    Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono( Role: Joint author)

    American Mathematical Society and International Press  2009 

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    Total pages:409   Language:English Book type:Scholarly book

  4. Lagrangian Intersection Floer Theory--Anomaly and Obstruction--Part I International journal

    Kenji Fukaya, Yong-Guen Oh, Hiroshi Ohta, Kaoru Ono( Role: Joint author)

    American Mathematical Society and International Press  2009 

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    Total pages:396   Language:English Book type:Scholarly book

  5. 「21世紀の数学」  3、4次元多様体の「狭間」の不変量

    宮岡礼子 小谷元子編 太田啓史( Role: Sole author)

    日本評論社  2004.7 

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    Language:Japanese

  6. 別冊・数理科学「現代物理と現代幾何」 トポロジー、位相的場の理論そして表現論

    太田啓史( Role: Sole author)

    サイエンス社  2002.4 

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    Language:Japanese

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Presentations 8

  1. Proof of Whitehead theorem in $A_{¥infty}$ algebras Invited International conference

    Hiroshi Ohta

    American Institute of Mathematics Workshop on ``Toward Relative Symplectic Field Theory" (CUNY, New York, USA)  American Institute of Mathematics

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    Event date: 2007.9

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:New York   Country:United States  

  2. Symplectic fillings and normal singularities Invited International conference

    Hiroshi Ohta

    Algeraic Topology : Old and New, Postnikov Memorial Conference, Stefan Banach International Mathematical Center, Bedlewo, Poland. 

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    Event date: 2007.6

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Stefan Banach International Mathematical Center, Bedlewo   Country:Poland  

  3. Introduction to Lagrangian intersection Floer theory Invited International conference

    Hiroshi Ohta

    Pacific Rim Conference of Complex Geometry, University of Science and Technology, Hefei, China 

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    Event date: 2006.8

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Hefei   Country:China  

  4. Symplectic fillings and normal surface singularites Invited International conference

    Hiroshi Ohta

    International Workshop on Symplectic Geometry and Hamiltonian Dynamics, Kyoto, Japan 

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    Event date: 2006.2

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  5. Lagrangian Floer theory, revised Invited

    Hiroshi Ohta

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    Event date: 2005.9

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  6. Unobstructed conditions and Lagrangian intersection Floer cohomology Invited International conference

    Hiroshi Ohta

    Differential Geometry in Nagoya 2004, Nagoya University 

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    Event date: 2004.12

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Japan  

  7. Rigidity and flexibility of symplectic fillings andnormal surface singularities Invited International conference

    Hiroshi Ohta

    Workshop on Symplectic Topology and Mathematical Physics,Korea Institute for Advanced Study, Seoul, Korea 

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    Event date: 2004.11

    Language:English   Presentation type:Oral presentation (invited, special)  

    Country:Korea, Republic of  

  8. Analytic aspect of Fukaya category Invited International conference

    Hiroshi Ohta

    MSJ-KMS Joint Meeting  2021.9.13 

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    Event date: 2021.9

    Language:English   Presentation type:Oral presentation (invited, special)  

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KAKENHI (Grants-in-Aid for Scientific Research) 7

  1. Floer理論に立脚したミラー対称性予想にまつわる幾何学の新展開

    Grant number:21H00983  2021.4 - 2026.3

    日本学術振興会  科学研究費補助金   基盤研究(B)

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\17030000 ( Direct Cost: \13100000 、 Indirect Cost:\3930000 )

  2. 力学的微分トポロジーによる葉層・接触・シンプレクティック構造の研究

    Grant number:21H00985  2021.4 - 2026.3

    日本学術振興会  科学研究費補助金   基盤研究(B)

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    Authorship:Coinvestigator(s)  Grant type:Competitive

    Grant amount:\10270000 ( Direct Cost: \7900000 、 Indirect Cost:\2370000 )

  3. 深谷圏と完全WKB解析

    Grant number:21K18576  2021.4 - 2024.3

    日本学術振興会  科学研究費補助金   挑戦的研究(萌芽)

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\6500000 ( Direct Cost: \5000000 、 Indirect Cost:\1500000 )

  4. ミラー対称性予想とシンプレクティック幾何の展開

    Grant number:15H02054  2015.4

    日本学術振興会  科学研究費補助金  基盤研究(A)

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\41470000 ( Direct Cost: \31900000 、 Indirect Cost:\9570000 )

  5. フレアー理論の研究とミラー対称性予想およびシンプレクティック幾何への応用

    2011.4 - 2015.3

    科学研究費補助金  基盤研究(B)

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\16120000 ( Direct Cost: \12400000 、 Indirect Cost:\3720000 )

  6. Study on pseudo-holomorphic map, Floer cohomology and applications to symplectic geometry

    2007.4 - 2011.3

    Grant-in-Aid for Scientific Research 

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    Authorship:Principal investigator  Grant type:Competitive

  7. Study on Floer cohomology, mirror symmetry conjecture and singularities

    2003.4 - 2007.3

    Grant-in-Aid for Scientific Research 

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    Authorship:Principal investigator  Grant type:Competitive

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Teaching Experience (On-campus) 22

  1. 幾何学概論V

    2016

  2. 数学展望Ⅱ

    2016

  3. 数学研究EⅡ

    2016

  4. Perspectives in Mathematical Science I

    2016

  5. 数学研究EⅠ

    2016

  6. 幾何学概論1

    2015

  7. 幾何学続論

    2015

  8. 微分積分学II

    2015

  9. 微分積分学I

    2015

  10. 数学研究G2

    2014

  11. 数学研究G1

    2014

  12. 数理科学展望II

    2014

  13. 数理科学展望IV

    2014

  14. 線形代数学II

    2014

  15. 線形代数学I

    2014

  16. 幾何学概論1

    2012

  17. 数学研究G2

    2012

  18. 数学研究G1

    2012

  19. 複素関数論

    2012

  20. College Mathematics I

    2011

  21. Complex Analysis

    2011

  22. 幾何学要論II

    2011

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Teaching Experience (Off-campus) 5

  1. 2007.4 - 2008.3 東京大学)

  2. 2004.4 - 2005.3 大阪大学)

  3. 2003.4 - 2004.3 大阪市立大学)

  4. 2003.4 - 2004.3 東京工業大学)

  5. 2000.4 - 2001.3 千葉大学)