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. (article in Case Studies)


(MathSciNet, zbMATH, arXiv)

Journal articles:



  Workshop on Algebraic Geometry, Tsinghua Sanya International Mathematics Forum, Sanya, December 2023.

  Geometry of moduli spaces of Higgs bundles, Korea Institute for Advanced Study, Seoul, September 2023.

  Physics and Special Holonomy, KITP, Santa Barbara, CA, March 2023.

  Gauge Theory, Moduli Spaces and Representation Theory, Kashiwa 2023, In honor of the 60th birthday of Hiraku Nakajima, Kavli IPMU, University of Tokyo, Kashiwa, February, 2023. (slides)

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. 


  Online Workshop on Mirror symmetry and Related Topics, Kyoto 2021, Kyoto, 13-15 December 2021. (online)

As of 23 December 2023