# Thomas Weighill

### PhD student at the University of Tennessee under the supervision of Professor Jerzy Dydak.

Department of Mathematics

University of Tennessee

Knoxville, TN 37996

Email: tweighil (at) vols (dot) utk (dot) edu

Curriculum Vitae

Research Statement

MathSciNet page
## Basic information

Office: Ayres Hall 208

Office hours: Mondays and Wednesdays 10:10am-11:00am or by appointment

## Research interests

I am currently working in the area of coarse geometry, the study of large scale properties of spaces. I am interested in coarse invariants such as asymptotic dimension, Property A, coarse embeddability, and in objects which capture large scale behaviour such as the Higson corona and (maximal) Roe algebra. I am also interested in category theory and its applications to coarse geometry.

## Teaching information

Currently teaching Math 251: Linear Algebra from 12:20pm-1:10pm in HSS 108.

Previous courses taught as a GTA include Math 119: College Algebra and Math 125: Basic Calculus.

## Publications

- L Higginbotham and T Weighill, Coarse quotients by group actions and the maximal Roe algebra, to appear in Journal of Topology and Analysis.
- 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.