Henry Segerman

Henry Segerman is an Associate Professor of Mathematics at Oklahoma State University, specializing in geometric topology, 3D printing, virtual reality, and mathematical visualization. His work bridges theoretical mathematics with physical and digital artistic expression, creating tangible and virtual representations of complex mathematical concepts.

His research interests focus on three-dimensional geometry and topology, particularly exploring triangulations of 3-manifolds, veering triangulations, and hyperbolic geometry. He extends these mathematical concepts into the realm of visualization through 3D printing, spherical video, and virtual reality applications. Segerman has developed innovative techniques for representing four-dimensional objects in three-dimensional space using stereographic projection and has created numerous mathematical sculptures that visualize abstract topological concepts.

Segerman's publication record reveals a consistent focus on the intersection of combinatorial topology and geometric structures, with a recent emphasis on veering triangulations and their connections to dynamic systems. His work demonstrates a progression from theoretical foundations toward increasingly sophisticated visualization techniques, culminating in interactive virtual reality experiences of non-Euclidean geometries. The substantial number of figures in his papers (often exceeding 50 per publication) highlights his commitment to visual explanation alongside mathematical rigor.

• Most Innovative People's Choice Award at Bridges 2013 for 'Triple gear'
• Most Effective Use of Mathematics People's Choice Award at Bridges 2012 for 'Dual Half 120- and 600-Cells'

Segerman maintains an extensive collaborative network with mathematicians including Saul Schleimer, David Bachman, and Matthias Goerner, as well as artists and technologists like Vi Hart and Sabetta Matsumoto. His work has been supported by National Science Foundation grant DMS-2203993. He has created numerous mathematical art pieces that have been exhibited at major conferences including multiple Bridges Conferences and Joint Mathematics Meetings, with sculptures appearing in galleries worldwide.

His laboratory work centers around the production of mathematical visualization tools and 3D printed sculptures. Segerman has developed specialized techniques for creating mathematical models using CAD software, Python scripting, and 3D printing technologies. His work with spherical video and virtual reality represents a significant contribution to non-Euclidean visualization, allowing viewers to experience geometries that cannot exist in our physical space.