Permanent Faculty Akram Alishahi Assistant Professor. Low dimensional topology, knot theory and contact and symplectic geometry. James Cantrell Professor Emeritus. Geometry and topology. Jason Cantarella Professor. General area of geometric knot theory, particularly random knots. David Gay Professor. Smooth and symplectic topology of 4-manifolds and associated 3-dimensional issues. Also interested in mathematical illustration and outreach, heavily motivated by low-dimensional geometry and topology. John G. Hollingsworth Professor Emeritus. Geometry and Topology. Peter Lambert-Cole. Assistant Professor. Low-dimensional topology; contact and symplectic topology. Gordana Matic Professor. 4- and 3-manifolds, contact topology, Heegaard Floer homology. Clinton G. McCrory Professor Emeritus. Topology of singularities, with applications to algebraic geometry and differential geometry. Invariants of real algebraic varieties and semialgebraic sets. Trent Schirmer Senior Lecturer. Low-dimensional geometric topology. Visual and combinatorial methods to prove things about Heegaard splittings of 3-manifolds, Dehn fillings of link complements, and trisections of 4-manifolds. The rank-genus problem for knot complements in the three-sphere, the slice-ribbon conjecture, and the Schoenflies conjecture. Michael Usher Professor. Sympletic topology, Hamiltonian dynamics and Morse theory, symplectic four-manifolds and Lefschetz fibrations. Weiwei Wu Assistant Professor. Topological rigidity of symplectic and Lagrangian submanifolds, symplectomorphism groups, Lagangian Floer theory, homological mirror symmetry. Postdocs Kyle Larson. Postdoctoral Associate. Melissa Zhang. Limited Term Assistant Professor. Graduate Students Swapnanil Banerjee (Advisor: David Gay) Sarah Blackwell (Advisor: David Gay) Daniel Hartman (Advisor: David Gay) Thomas Melistas (Advisor: Michael Usher) Erik Schreyer (Advisor: Jason Cantarella) Terrin Warren (Advisor: David Gay)