Research

Geometry and Topology Research Group

Summary of Research

Research interests of the members and affiliated members of the Geometry and Topology group include geometry and topology of knots, three and four manifolds; mathematical physics; symplectic and contact geometry; gauge theory, and Floer and Khovanov homologies; geometric group theory; cluster algebras and Jones polynomials.

Faculty Members

Vo Liem

Professor Liem has done research in shape theory and complement theory of compacta having the shapes of finite dimensional complexes, in infinite dimensional topology, group actions, and 4-dimensional topology. Currently, he is interested in contact and symplectic manifolds.

Find Dr. Liem’s contact information in the department directory.

Lawrence Roberts

Professor Roberts’ research is in low dimensional topology and Khovanov and Floer homologies.

Find Dr. Roberts’s contact information in the department directory.

Bulent Tosun

Professor Tosun’s research is in contact and symplectic geometry in low dimensions and Heegaad Floer homology.

Learn more about his research on Dr. Tosun’s personal website, and see his publications on ArXiv.

Find Dr. Tosun’s contact information in the department directory.

Bruce Trace

Professor Trace’s research is in low dimensional topology and handlebody theory.

Find Dr. Trace’s contact information in the department directory.

Affiliated Faculty Members

  • Jon Corson – Geometric group theory, group co-homologies, profinite groups
  • Kyungyong Lee – Algebraic geometry, Cluster algebras, Mathematical physics, Jones polynomials

Department Seminars

The group, jointly with Algebra group, run a weekly in-house Algebra-Topology Seminars on Mondays at 11am during the academic year.

Conferences and Local Opportunities

Relevant Blogs

Courses

  • Point Set Topology – Every fall
  • Algebraic Topology I – Every spring
  • Algebraic Topology II – Every other fall
  • Differential Geometry – Every spring
  • Topics course – Every other spring