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수학교육과

교수소개

교수소개

  • 부교수 기하학
  • 조윤형 홈페이지 바로가기
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관심분야

Symplectic Geometry 
Integrable system 
Lie group action

학력

  • (Ph.D.) 2010.8 한국과학기술원(KAIST) 수학과
  • (B.S.) 2004.2 한국과학기술원(KAIST) 수학과

약력/경력

  • 2017.3 – 현재 성균관대학교 수학교육과 조교수.
  • 2015.10 – 2017.2 IBS 기하학수리물리연구단(CGP), Research Fellow.
  • 2014.9 – 2015.9 IST Lisbon (University of Lisbon), Portugal, Research Fellow.
  • 2012.9 – 2012.12 Columbia University, USA, Visiting Scholar.
  • 2011.9 – 2014.9 고등과학원(KIAS) Research Fellow.
  • 2010.9 – 2011.8 한국과학기술원 Research Fellow.

학술지 논문

  • (2023)  Unique toric structure on a Fano Bott manifold.  JOURNAL OF SYMPLECTIC GEOMETRY.  21,  3
  • (2022)  Small toric resolutions of toric varieties of string polytopes with small indices.  COMMUNICATIONS IN CONTEMPORARY MATHEMATICS.  25,  01
  • (2022)  Enumeration of Gelfand-Cetlin type reduced words.  ELECTRONIC JOURNAL OF COMBINATORICS.  29,  1
  • (2021)  Remark on the Betti numbers for Hamiltonian circle actions.  COMPTES RENDUS MATHEMATIQUE.  359,  2
  • (2021)  Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions II.  INTERNATIONAL JOURNAL OF MATHEMATICS.  32,  2
  • (2021)  Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions III.  INTERNATIONAL JOURNAL OF MATHEMATICS.  32,  2
  • (2020)  Lagrangian fibers of Gelfand-Cetlin systems.  ADVANCES IN MATHEMATICS.  372,  10
  • (2020)  LAGRANGIAN FIBERS OF GELFAND-CETLIN SYSTEMS OF SO(n)-TYPE.  TRANSFORMATION GROUPS.  25,  4
  • (2019)  Monotone Lagrangians in flag varieties.  INTERNATIONAL MATHEMATICS RESEARCH NOTICES. 
  • (2019)  Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions I.  INTERNATIONAL JOURNAL OF MATHEMATICS.  30,  6
  • (2019)  On the Chern numbers for pseudo-free circle actions.  JOURNAL OF SYMPLECTIC GEOMETRY.  17,  1
  • (2018)  Hard Lefschetz property for Hamiltonian torus actions on 6-dimensional GKM manifolds.  JOURNAL OF SYMPLECTIC GEOMETRY.  16,  6
  • (2018)  On the f-vectors of Gelfand-Cetlin polytopes.  EUROPEAN JOURNAL OF COMBINATORICS.  67
  • (2017)  Embedded Surfaces for Symplectic Circle Actions.  CHINESE ANNALS OF MATHEMATICS SERIES B.  38,  6
  • (2016)  HARD LEFSCHETZ PROPERTY OF SYMPLECTIC STRUCTURES ON COMPACT KAHLER MANIFOLDS.  TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY.  368,  11
  • (2016)  Unimodality of Betti numbers for Hamiltonian circle actions with index-increasing moment Maps.  INTERNATIONAL JOURNAL OF MATHEMATICS.  27,  5
  • (2016)  Hamiltonian circle action with self-indexing moment map.  MATHEMATICAL RESEARCH LETTERS.  23,  3
  • (2015)  Semifree Hamiltonian circle actions on 6-dimensional symplectic manifolds with non-isolated fixed point set.  JOURNAL OF SYMPLECTIC GEOMETRY.  13,  4
  • (2014)  Unimodality of the Betti numbers for Hamiltonian circle action with isolated fixed points.  MATHEMATICAL RESEARCH LETTERS.  21,  4

학술회의논문

  • (2020)  Classification of semifree monotone Hamiltonian S^1 manifolds.  The 5-th Korea Toric Topology Winter Workshop.  대한민국
  • (2019)  String polytopes and their small resolutions.  Pohang Mathematics Workshop 2019.  대한민국
  • (2019)  Betti numbers for Hamiltonian circle actions with isolated fixed points.  Toric Topology 2019 in Okayama.  일본
  • (2019)  Small resolutions of string polytopes in low dimensions.  2019 KMS Annual Meeting.  대한민국
  • (2019)  Lie group actions on symplectic manifolds.  The 4th KIAS Alumni Workshop in Mathematics.  대한민국
  • (2018)  Symplectic Geometry of Fano varieties.  The 5th Sinchon Workshop on Algebraic Geometry.  대한민국
  • (2018)  Monotone Lagrangians in flag varieties.  Matrix Factorizations and Mirror Symmetry.  대한민국
  • (2018)  Monotone Lagrangian tori in cotangent bundles of spheres.  2018 Joint Meeting of the KMS and GMS.  대한민국
  • (2018)  Monotone Lagrangian tori in cotangent bundles of spheres.  Hayama Symposium on complex analysis in Several Variables XX 2018.  일본
  • (2018)  On Gelfand-Cetlin polytopes.  The Japanese Conference on Combinatorics and its Applications.  일본
  • (2017)  Monotone Lagrangians in flag varieties.  Pohang Mathematics Workshop.  대한민국
  • (2017)  Monotone Lagrangians in flag varieties.  East Asian Symplectic Conference 2017.  중국
  • (2017)  Lagrangian fibers of Gelfand-Cetlin systems.  BICMR & IBS-CGP JOINT SYMPLECTIC GEOMETRY WORKSHOP.  중국
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