Postdoctoral fellow at the Metric Geometry and Gerrymandering Group
Most of my research right now is in the areas of geometry and topology. My PhD research involved transferring classical topological notions to the large scale world, often using category theory as a guiding framework. Right now I am interested in coarse homotopy theory and the large scale structure of groups. I am also interested in applications of geometric ideas to redistricting and to data science in general.
Courses taught as a GTA at the University of Tennessee: College Algebra, Basic Calculus, Matrix Algebra.
- L Higginbotham and T Weighill, Coarse quotients by group actions and the maximal Roe algebra, Journal of Topology and Analysis (online ready).
- J Dydak and T Weighill, Monotone-light factorizations in coarse geometry, Topology Appl. 239, 2018, 160-180.
- J Dydak and T Weighill, Extension theorems for large scale spaces via coarse neighbourhoods, Mediterranean Journal of Mathematics 15, 2018, 59.
- T Weighill, Mal’tsev objects, $R_1$-spaces and ultrametric spaces, Theory and Applications of Categories 32, 1485-1500, 2017.
- T Weighill, On spaces with connected Higson coronas, Topology Appl. 209, 2016, 301-315.
- Z Janelidze and T Weighill, Duality in non-abelian algebra III. Normal categories and 0-regular varieties, Algebra Universalis 77, 2017, 1-28.
- Z Janelidze and T Weighill, Duality in non-abelian algebra II. From Isbell bicategories to Grandis exact categories, J. Homotopy Relat. Struct. 11, 2016, 553-570.
- Z Janelidze and T Weighill, Duality in non-abelian algebra I. From cover relations to Grandis ex2-categories, Theory and Applications of Categories 29.11, 2014, 315-331.