Prof. Michael McBREEN

Assistant Professor
BSc (McGill University);
PhD (Princeton University)


[Teacher's name in full]

Address:
Room 235, Lady Shaw Building,
The Chinese University of Hong Kong,
Shatin, N.T., Hong Kong

Tel:
(852) 3943-5297



Fields of Interest:
I study the intersection of representation theory, symplectic geometry and mathematical physics, focusing on conformal field theory, supersymmetric gauge theory and topological string theory.


Selected Publications:
  1. Twisted Quasimaps and Symplectic Duality for Hypertoric Spaces, with Artan Sheshmani and Shing-Tung Yau. arXiv:2004.04508 (2020).

  2. Hypertoric Hitchin systems and Kirchhoff polynomials (with Michael Groechenig). International Mathematics Research Notices (2021).

  3. Deletion-Contraction Triangles for Hausel-Proudfoot Varieties (with Zsuzsana Dancso and Vivek Shende). arXiv:1910.00979 (2019).

  4. Homological Mirror Symmetry for Hypertoric Varieties II (with Ben Gammage and Ben Webster). arXiv:1903.07928 (2019).

  5. Homological Mirror Symmetry for Hypertoric Varieties I (with Ben Webster). arXiv:1804.10646 (2018).

  6. The Quantum Hikita Conjecture (with Joel Kamnitzer and Nick Proudfoot). Advances in Mathematics. arXiv:1807.09858 (2021).


Major Research Grants:
  • Research Grants Council - Early Career Scheme
  • Research Grants Council - General Research Fund

Honours and Awards:
  • Early Career Award, Research Grant Council

Courses

Course Code Course Title Academic Year Term
MATH3020 Axiomatic Set Theory and Applications 2024/25 1
MATH4400F Project 2024/25 1