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J-GLOBAL ID：201101098047878914   Update date: Jan. 30, 2024

Uehara Hokuto

Uehara Hokuto
Affiliation and department：
Tokyo Metropolitan University

About Tokyo Metropolitan University


Research field  (1)： Algebra
Research keywords  (7)： 連接層の導来圏 ,  Bridgeland安定性条件 ,  Torelli型問題 ,  トーリック多様体 ,  ミラー対称性 ,  crepant resolution ,  特異点
Research theme for competitive and other funds  (5)：
  • 2018 - 2023 代数多様体の導来圏の自己同値群の研究
  • 2011 - 2016 Derived categories related to the McKay correcepondence and Homological Mirror Symmetry
  • 2008 - 2010 Classification theory of algebraic varieties and derived categories
  • 2006 - 2008 Research on derived categories in algebraic geometry
  • 2005 - 2007 高次元代数多様体の分類理論
Papers (14)：
  • Hokuto Uehara. A trichotomy for the autoequivalence groups on smooth projective surfaces. Transactions of the American Mathematical Society. 2019. 371. 5. 3529-3547
  • Hokuto Uehara. Fourier-Mukai partners of elliptic ruled surfaces. Proceedings of the American Mathematical Society. 2017. 145. 8. 3221-3232
  • Hokuto Uehara. Autoequivalences of derived categories of elliptic surfaces with non-zero Kodaira dimension. Algebraic Geometry. 2016. 3. 5. 543-577
  • Shinnosuke Okawa, Hokuto Uehara. Exceptional Sheaves on the Hirzebruch Surface F2. International Mathematics Research Notices. 2015. 2015. 23. 12781-12803
  • Hokuto Uehara. Exceptional collections on toric Fano threefolds and birational geometry. International Journal of Mathematics. 2014. 25. 7
ｍore...
MISC (4)：
  • 上原, 北斗. 大学数学, 特に体論(たいろん)の魅力について-On the charm of university mathematics, especially Field theory. 東京都立大学教職課程紀要. 2021. 5. 51-57
  • Uehara, Hokuto. Autoequivalences on smooth projective surfaces. 2017. 2017. 3-14
  • 上原 北斗. 速習! 導来圏-特集 導来圏をめぐって : 数学と物理の新たな世界に迫る. 数理科学. 2012. 50. 8. 7-13
  • Uehara, Hokuto. Derived categories of coherent sheaves algebraic surfaces. 2004. 2004. 77-91
Books (2)：
  • 連接層の導来圏と代数幾何学
    丸善出版 2020 ISBN:9784621305911
  • Calabi-Yau threefolds with infinitely many divisorial contractions = 無限個の因子的収縮写像を持つ3次元Calabi-Yau多様体
    東京大学数理科学研究科 2002
Professional career (1)：
  • 博士(数理科学) 東京大学
Work history (4)：
  • 2021/04 - 現在 Tokyo Metropolitan University
  • 2020/04 - 2021/03 首都大学東京 理工学研究科
  • 2018/04 - 2020/03 首都大学東京 理工学研究科 准教授
  • 2006/04 - 2018/03 Tokyo Metropolitan University Graduate School of Science and Engineering
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