The geometry and topology group at UB is traditionally strong in research and mentoring. Our faculty work in the areas of algebraic topology, complex geometry, differential geometry, geometric group theory, and geometric topology.
Complex and Differential Geometry
Contact Geometry and Topology
Geometric Group Theory
Subhankar Dey, PhD (Kutluhan) "On Heegaard Floer Theoretic Properties of Knots"
Hakan Doga, PhD (Kutluhan) "A Combinatorial Description of the Concordance Invariant Epsilon"
Xifeng Jin, PhD (Menasco) "Geodesics in the Curve Graph and Heegaard Distance"
Marc Schilder, PhD (Zhang) "The A-Polynomial and Knot Volume"
Wei Lin, PhD (Menasco) "On Crossing Ball Structure in Knot and Link Complements"
Chen Zhou, PhD (Ramachandran) "Lefschetz Theorem for Holomorphic One-forms on Weakly 1-complete Manifolds"
Alyson Bittner, PhD (Badzioch) "Detecting Mapping Spaces and Spaces with Complexity One"
Abdalrazzaq Zalloum, PhD (Mangahas) "Beyond Hyperbolicity; Generalizing Classical Results from Hyperbolic groups to all Finitely Generated Groups"
Robert Tuzun, PhD (Sikora) "Computational Search for Nontrivial Knots with Unit Jones Polynomial"
Xiao Wang, PhD (Ramachandran) "Complex Hyperbolic Manifolds and Structures of Exotic Hyperbolic Manifolds"
Mark Nieland, PhD (Menasco) "Connected-Sum Decompositions of Surfaces with Minimally-Intersecting Filling Pairs"
Dennis Ruppe, PhD (Zhang) "On the AJ-conjecture for certain families of satellite knots"
Matthew Sartwell, PhD (Badzioch) "Detecting Mapping Spaces and Derived Equivalence of Algebraic Theories"
Watchareepan Atiponrat, PhD (Menasco) "Obstructions to Decomposable Exact Lagrangian Fillings"
Blake Winter (Sikora) "Virtual, Welded and Ribbon Links in Arbitrary Dimensions"
Bruce Corrigan-Salter, PhD (Badzioch) "Rigidification of Homotopy Algebras over Finite Product Sketches"
Gregory Schneider, PhD (Menasco) "On the Classication of Legendrian Rational Tangles via Characteristic Foliations of Compressing Discs"
Xiao Guo, PhD (Zhang) "Two classes of Virtually Fibered Montesinos Links of Type SL_2"
Douglas LaFountain, PhD (Menasco) "On The Uniform Thickness Property And Contact Geometric Knot Theory"
Yu Zhang, PhD (Zhang) "Lifted Heegaard surfaces and virtually Haken manifolds"