Subjects

Mathematical and Theoretical Physics

Research Interests

My research is in String Theory, with emphasis on the interaction between the gauge theories which arise and the geometry of Calabi-Yau manifolds. The main directions of investigation include:

  • Heterotic Compactification: to construct phenomenologically realistic models of low-energy particle physics by compatifying the 10-dimensional heterotic string (11-dimensional M-theory) on smooth Calabi-Yau threefolds endowed with stable holomorphic vector bundles;
  • D-branes on Singularities: to study the gauge theories on the probe D-brane world-volume and their relations to the Calabi-Yau singularity (especially orbifold and toric types) on which the brane sits. Such fascinating subjects as quivers, dimers, McKay Correspondence, chaotic flows and singularity resolution arise;
  • - Matrix Models: to see the reduction of N=1 gauge theories and special geometry to certain bosonic matrix models as well as relations to Moonshine.
Teaching Interests

I have taught supervision courses, both undergraduate and postgraduate, in calculus, classical and quantum mechanics, electrodynamics, and quantum field theory. I have also monitored advanced undergraduate and early postgraduate students in research in string theory.

Department Information

www.maths.ox.ac.uk

Contact Information

Email: Dr Yang-Hui He

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