معرفی
Hans Ulysses Boden is a Professor of Mathematics at McMaster University's Department of Mathematics and Statistics, specializing in Pure Mathematics with a focus on Geometry and Topology. His research centers on gauge theory, low-dimensional topology, knot invariants, and moduli spaces of flat connections. He has contributed to studies of virtual knots, character varieties, and generalized Casson invariants. Currently, his research team includes two postdocs, two graduate students, and one undergraduate student.
Education: B.S. in Mathematics from the University of New Hampshire; Ph.D. in Mathematics from Brandeis University.
Research interests span gauge theory, knot theory, and geometric topology, with recent work exploring periodicity in virtual knots, concordance invariants, and generalized Tait conjectures. Over 48 publications in the last decade include contributions to Algebraic and Geometric Topology, Communications in Analysis and Geometry, and Proceedings of Symposia in Pure Mathematics. His work integrates topological, algebraic, and geometric methods to address problems in knot theory and 3-manifold topology.
Teaching includes courses on Algebraic Topology, Knot Theory, and Advanced Calculus. He has mentored multiple students, including Jie Chen (PhD 2023), Jeffrey Marshall-Milne (MSc 2025), and Jessie Meanwell (BSc 2023).
Labs/Teams: Active in geometric topology research, with collaborations on virtual knot concordance and moduli spaces of flat connections.
