Yuuji Tanaka



Address: Mathematical Institute, University of Oxford
Andrew Wiles Building, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX2 6GG

e-mail: tanaka (at) maths.ox.ac.uk

Research interests: (maths style) 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:

  Minisymposium on Gauge Theory and Partial Differential Equations, part of the SIAM Conference on Analysis of Partial Differential Equations, La Quinta, California, the U.S.A., December 2019.

  School and Workshop on Gauge Theories and Differential Invariants , The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy, October 2019.

  Geometry and Physics of Higgs bundles, Oberwolfach, Germany, May 2019.

  Geometry and Physics seminar, California Institute of Technology, Pasadena, the U.S.A., March 2019.

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 9 May 2019