Ryo Ohashi, Ph.D., is a native Japanese born and raised in Tokyo. He is self-described as "one of those mathematicians who doesn’t know the difference between a coffee cup and a doughnut."
Those who don’t know the difference are called a “Topologist” in the field of mathematics. Topologists study the shapes of objects, but they don’t consider notions of distance or angle like geometry. Instead, you can think of Topology as “rubber geometry.” For example, imagine a coffee cup is made of playdough, and you can deform the shape from a mug cup to a doughnut by pushing and/or stretching the playdough without cutting or tearing it up. If you can change an object into another one by continuous deformation like this, then the two shapes are identical or “homeomorphic” in the study of Topology.
In Ryo's research, he studies objects in a 4-dimensional space to see which shapes are identical or not by means of continuous deformation. His research interests are focused on low-dimensional topology, geometric groups, 3-orbifolds, elliptic manifolds, topological groups, and Lie groups.
Education
B.A., Mathematics, University of Guam
M.S., Mathematics, University of Nevada, Las Vegas
Ph.D., Mathematics, Saint Louis University
Publications
Orientation reversing actions on a solid torus which extend to a lens space (with J. Kalliongis), Publicationes Mathematicae, 2025, accepted for publication.
Orientation Reversing Finite non-Abelian actions on RP^3 which respect a Heegaard Decomposition (with J. Kalliongis), New York Journal of Mathematics, Vol. 31, 2025.
Orientation Reversing Finite Abelian Actions on RP^3 (with J. Kalliongis), Rendiconti dell'Istituto di Matematica dell'Università di Trieste, Vol. 54, 2022.
Cyclic p-group actions on RP^3 (with J. Kalliongis), Journal of Algebra and Its Appliccations, Vol. 20, No. 10, 2021.
Orbifolds having Euler number zero Heegaard decomposition (with J. Kalliongis), Illinois Journal of Mathematics, Vol 65, No.2, 2021.
Finite actions on the 2-sphere and projective plane and I-bundles over the projective plane (with J. Kalliongis), Ars Mathematica Contemporanea, Volume 15, 2018.
Finite Actions on the Klein Four-Orbifold and Prism Manifolds (with J. Kalliongis), Commentationes Mathematicae Universitatis Carolinae, Vol 58, No. 1, 2017.
Awards
The Mathematical Association of America - Project NExT (New Experiences in Teaching) Fellow
