John Baldwin

John Baldwin is a Professor of Mathematics at Boston College, located in Maloney Hall. He holds a Ph.D. from Columbia University and an A.B. from Harvard University. His research focuses on Floer theory, Khovanov homology, and low-dimensional topology, with significant contributions to understanding contact structures, knot invariants, and monopole homology.

His work integrates advanced algebraic and geometric techniques, including instanton Floer homology and sutured monopole homology, to address problems in knot theory and symplectic geometry. Notable contributions include studies on the equivalence of Legendrian and transverse invariants, Stein fillings, and SU(2) representations in 3-manifolds.

Baldwin's recent research emphasizes the interplay between knot theory and Floer homology, exploring topics like the detection of torus knots via Khovanov homology and the relationship between L-spaces and fibered knots. His publications span prestigious journals such as Journal of Symplectic Geometry and Selecta Mathematica.

He has received grants supporting collaborative research in gauge theory and low-dimensional topology, including the NSF CAREER award. His advising and mentorship have shaped graduate studies in topology at Boston College.