Yuuji Tanaka



Addresses: Department of Mathematics, Faculty of Science, Kyoto University
Kitashirakawa Oiwake-cho, Sakyo-ku, Kyoto 606-8502, Japan

e-mail: y-tanaka (at) math.kyoto-u.ac.jp

Research interests: Gauge Theory, Geometric Analysis, Algebraic Geometry

  More specifically, my current research interests are around the Vafa-Witten equations and the Kapustin-Witten ones on four-manifolds. They originated in an attractive theory called N=4 super (!) Yang-Mills theory in (Theoretical) Particle Physics, or more broadly in Superstring Theory. I've reached these objects with huge surprise and excitement from mathematical studies in higher-dimensional gauge theories such as the Donaldson-Thomas invariants and Spin(7)-instantons. Now I'm working on these from both algebraic and analytic aspects.


Publications

(MathSciNet, zbMATH, arXiv)

Journal articles:

Preprints:


Talks:

  Algebraic Geometry seminar/Differential Topology seminar, Kyoto University, Kyoto, November 2021.

  Stanford Algebraic Geometry seminar, Stanford University, Stanford, March 2021. (online) (slides)

  The 16th Kagoshima Algebra-Analysis-Geometry seminar, Kagoshima University, Kagoshima, February 2021. (online)

  Algebraic Geometry and Number Theory seminar, IST Austria, Vienna, April 2020. (online)

list (including the above)


Graduate workshop:

  British Isles Graduate Workshop III "Gauge theory with a view to higher dimensions", Jersey, 9-15 June 2019.


TCC course:

  Introduction to Gauge Theory, Taught Course Centre, Trinity 2019. 



As of 6 September 2021