My name is Charlotte Ure and I am a Postdoctoral Research Associate and Lecturer at the University of Virginia. I earned my PhD in Mathematics at Michigan State University in 2019. My thesis advisor was Dr. Rajesh Kulkarni. I am on the job market in Fall 2022.

My research interests lie at the intersection of noncommutative algebra and algebraic geometry. In particular, I am interested in the study of

- the Brauer group,
- Clifford algebras,
- unramified cohomology groups, and
- rationality questions.

I am a co-organizer for the Contributed Talk Series New Developments in Number Theory by POINT (People Online in Number Theory).

**Recent and upcoming talks and travel: **

- talk in the Workshop on "Noncommutative Geometry and Noncommutative Invariant theory" at the Banff International Research Station (9/26-9/30/2022)
- talk in the Ramanujan Serre Seminar at the University of Virginia (10/14/2022)
- talk in the Algebra, Geometry, and Number Theory Seminar at the University of South Carolina (10/28/2022)
- AIM SQuaRe (4/3-4/7/2023)
- talk in the Special Session “Interactions Between Noncommutative Ring Theory and Algebraic Geometry” at the AMS Spring Central Sectional Meeting at the University of Cincinnati (4/15-4/16/2022).

**Recorded talks: **

- A video of my talk at the BIRS workshop "Noncommutative Geometry and Noncommutative Invariant Theory" in September 2022 on "Twisting comodule algebras and preregular forms" is available here.
- A video of my talk at the BIRS workshop "Arithmetic aspects of algebraic groups" in June 2022 on "Symbol Length in Brauer Groups of Elliptic Curves" is available here.
- A video of my talk at the online BIRS workshop "Arithmetic aspects of algebraic groups" in September 2020 on "The Generic Clifford Algebra and its Brauer Class" is available here.
- A video of my talk for the Junior Mathematicians Research Archive in September 2020 on "Prime Torsion in the Brauer Group of an Elliptic Curve" is available here.
- A video of my talk at the Simons Conference on Rationality in July 2020 on "The Brauer Group of Elliptic Curves" is available here.

**Mentoring: **

As part of the 2021 REU at the Univeristy of Virginia in Number theory, I mentored a project resulting in the following paper (forthcoming in Proceedings of the American Mathematical Society): Symbol Length in Brauer Groups of Elliptic Curves, joint with Mateo Attanasio, Caroline Choi and Andrei Mandelshtam. arXiv:2107.10886

**Teaching: **

I am teaching two sections of MATH 1210 in Fall 2022. .