I am Professor in Department of Mathematics, Waseda University. My special subject is algebraic geometry, in particular higher dimensional algebraic geometry.
CV
- April 2017 – Present, Professor, Department of Mathematics, Waseda University
- April 2012 – March 2017, Associate Professor, Department of Mathematics, Waseda University
- April 2011 – March 2012, Assistant Professor, Department of Mathematics, Waseda University
- October 2009 – March 2011, Project Assistant Professor for the GCOE program, Gratuate School of Mathematical Sciences, University of Tokyo
- April 2008 – September 2009, Post-Doc researcher, Institute for matehmatics (Institut für Mathematik), Mainz University
- April 2006 – March 2008, Research Fellow, Korea Institute for Advanced Study (KIAS)
- April 2005 – March 2006, JSPS Research Fellow (PD), Graduate School of Mathematical Sciences, University of Tokyo
- March 2005, Ph.D. in Mathematical Sciences, University of Tokyo.
Title: “Dual fibration of a projective Lagrangian fibration”(Thesis advisor: Prof. Yujiro Kawamata) - April 2004 – March 2005, JSPS Research Fellow (DC2), Graduate School of Mathematical Sciences, University of Tokyo
- April 2003 – March 2004, Research assistant for the 21st Century COE Program at the Graduate School of Mathematical Sciences, University of Tokyo.
- March 2002, M.S. in Mathematical Sciences, University of Tokyo.
Title: “A characterization of certain irreducible symplectic 4-folds”. - March 2000, B.S. in Science, University of Tokyo.
Research Interest
I am particulary interested in compact holomorphic symplectic Kähler manifolds and algebro-geometric structures on them. As related topics / tools, I am also interested in moduli of semi-stable sheaves, geometric invariant theory, toric geometry, classical projective geometric constructions, and higher dimensional birational geometry.
Articles
- Gulbrandsen-Halle-Hulek degeneration and Hilbert-Chow morphism, Pure and Applied Mathematics Quarterly. 17 (2021), pp 401-442
- Symmetric products of a semistable degeneration of surfaces, Math. Z 289 (2018), pp 1143–1168
- Birational geometry of O’Grady’s six dimensional example over the Donaldson-Uhlenbeck compactification, Math. Ann. 358 (2013) Issue 1-2, pp 143-168
- Non-locally-free locus of O’Grady’s ten dimensional example, manuscripta mathematica 142 (2013) Issue 1-2, pp. 127-256
- (with F. Sato) Deformation of a smooth Deligne-Mumford stack via differential graded Lie algebra, J. Algebra 320 (2008) issue 9 pp. 3481-3492.
- (with J.-M. Hwang) Algebraic complete integrability of an integrable system of Beauville,
Ann. Inst. Fourier 58 no. 2 (2008) p. 559-570. - On monodromies of a degeneration of irreducible symplectic Kähler manifolds,
Math. Z. 258 (2008) pp. 407-426. - Dual fibration of a projective Lagrangian fibration, preprint (2005)
- A characterization of certain irreducible symplectic 4-folds,
manuscripta mathematica 110 (2003) No.3 pp. 273-282
Books
- 代数幾何学入門－代数学の基礎を出発点として 森北出版 (2021)
(Introduction to Algebraic Geometry — starting from basic algebra, in Japanese) - 代数学入門－群・環・体の基礎とガロワ理論 森北出版 (2024)
(Introduction to Algebra — Groups, Rings, Fields, and Galois Theory, in Japanese)
書籍の間違いや誤植に関しては，上記リンクの出版社のサイトを参照してください．随時アップデートされています．
Contact
nagai.y [at] waseda.jp
Department of Mathematics, Faculty of Science and Engineering, Waseda University,
3-4-1 Ohkubo Shinjuku Tokyo 169-8555 JAPAN