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James Michael Hughes

Assistant Research Professor of Mathematics


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.

Office Hours

Fall 2023:

  • Tuesdays 2:30-3:30
  • Thursdays 3:30-4:30
and by appointment.

Current Appointments & Affiliations

Assistant Research Professor of Mathematics · 2023 - Present Mathematics, Trinity College of Arts & Sciences

Education, Training & Certifications

University of California, Davis · 2023 Ph.D.