معرفی
Dr. Joshua Greene is Professor of Mathematics at Boston College, specializing in low-dimensional topology, symplectic geometry, and combinatorial methods. His research connects topology with combinatorics and symplectic geometry, with applications to knot theory and 3-manifolds.
Education background:
- PhD in Mathematics, Princeton University
- MSc in Mathematics, University of Chicago
- BS in Mathematics, Harvey Mudd College
Dr. Greene's work includes fundamental contributions to knot theory and Floer homology. His research on the rectangular peg problem and knot concordance has been recognized with major prizes. He developed innovative combinatorial approaches to topological problems and connections between Khovanov homology and Floer theories.
His recent publications demonstrate a shift toward geometric combinatorics and topological applications to classical problems. Articles frequently employ Floer homology techniques and combinatorial representations, with increasing interdisciplinary connections since 2020.
Dr. Greene serves as editor for the Journal of Topology and organizes international conferences in geometry and topology. He directs graduate research and mentors students through Boston College's topology seminars.
