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. Homological Mirror Symmetry for Hypertoric Varieties II with Ben Gammage and Ben Webster. Geometry & Topology (forthcoming).

  2. Homological Mirror Symmetry for Hypertoric Varieties I with Ben Webster. Geometry & Topology 28.3 (2024): 1005-1063.

  3. Elliptic stable envelopes and hypertoric loop spaces. with Artan Sheshmani and Shing-Tung Yau. Selecta Mathematica 29.5 (2023): 73.

  4. Deletion-Contraction Triangles for Hausel-Proudfoot Varieties with Zsuzsana Dancso and Vivek Shende. Journal of the European Mathematical Society (EMS Publishing) 26.7 (2024).

  5. Non-abelian Hodge moduli spaces and homogeneous affine Springer fibers with Roman Bezrukavnikov, Pablo Boixeda Alvarez, and Zhiwei Yun. Pure and Applied Mathematics Quarterly (Special volume for G.Lusztig) pp. 61-130, Volume 21 (2025) Number 1

  6. Twisted Quasimaps and Symplectic Duality for Hypertoric Spaces with Artan Sheshmani and Shing-Tung Yau. Annales de l’Institut Fourier (forthcoming)

  7. Hypertoric Hitchin systems and Kirchhoff polynomials with Michael Groechenig. International Mathematics Research Notices 2022.19 (2022): 15271-15312.

  8. The Quantum Hikita Conjecture with Joel Kamnitzer and Nick Proudfoot. Advances in Mathematics 390 (2021): 107947.

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