James M. Hughes, William W. Elliott Assistant Research Professor
![James M. Hughes](https://fds.duke.edu/photos/fac/u24242.jpg) My research is in low-dimensional contact and symplectic topology. I primarily focus on invariants of Legendrian knots and their exact Lagrangian fillings, particularly those related to cluster theory. I also like to think about different constructions of Legendrian surfaces, especially from a cluster-theoretic perspective. - Contact Info:
Teaching (Fall 2024):
- MATH 721.02, LINEAR ALGEBRA & APPLICA
Synopsis
- Physics 235, TuTh 10:05 AM-11:20 AM
- MATH 721.03, LINEAR ALGEBRA & APPLICA
Synopsis
- Physics 235, TuTh 08:30 AM-09:45 AM
- Office Hours:
Fall 2023:
- Tuesdays 2:30-3:30
- Thursdays 3:30-4:30
and by appointment.
- Education:
Ph.D. | University of California, Davis | 2023 |
- Recent Publications
- Hughes, J, Weave-realizability for D–type,
Algebraic & Geometric Topology, vol. 23 no. 6
(September, 2023),
pp. 2735-2776, Mathematical Sciences Publishers [doi]
- Hughes, J, Lagrangian fillings in $A$-type and their Kálmán loop orbits,
Revista Matemática Iberoamericana, vol. 39 no. 5
(July, 2023),
pp. 1681-1723, European Mathematical Society - EMS - Publishing House GmbH [doi]
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