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