Prof. Michael McBREEN

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

[Teacher's name in full]
ORCID:
0000-0002-9455-5175
Address:
Room 235, Lady Shaw Building,
The Chinese University of Hong Kong,
Shatin, N.T., Hong Kong
Tel:
(852) 3943-5297
Email:
mcb@math.cuhk.edu.hk
Personal Website:
https://sites.google.com/view/mmcbreen/home

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
Course Code Course Title Academic Year Term
MATH2070A Algebraic Structures 2023/24 1
MATH2070A Algebraic Structures 2022/23 1
MATH3040 Fields and Galois Theory 2022/23 2
MATH2070A Algebraic Structures 2021/22 1
MATH1030D Linear Algebra I 2021/22 2
MATH1030C Linear Algebra I 2020/21 1