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.
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 a Special session on Galois cohomology in Arithmetic Geometry at the Joint Mathematics Meetings in Washington D.C. in January 2021.
- 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.
Recent and upcoming talks:
- I will give a talk in the Special Session "Interactions between Noncommutative Algebra and Noncommutative Algebraic Geometry" at the upcoming Joint Mathematics Meetings (January 6-9, 2021).