Stability of the Shrinking Semi-Circle Under the Free Boundary Curve Shortening Flow
Theodora Bourni, Nathan Burns and Mat Langford (2026). "Stability of the Shrinking Semi-Circle under the Free Boundary Curve Shortening Flow" arXiv:2603.06949.
CV
A pdf version of my CV may be found here.
Education
- Ph.D in Mathematics, University of Tennessee, 2027 (expected)
- M.Math in Mathematics, University of Edinburgh, 2020
Service
- Co-Organiser for the Geometric Analysis Seminar at the University of Tennessee, 2025/2026 Academic Year
Publications
Classification of Convex Ancient Solutions to Free Boundary Curve Shortening Flow in Convex Domains
Theodora Bourni, Nathan Burns and Spencer Catron (2025). "Classification of Convex Ancient Solutions to Free Boundary Curve Shortening Flow in Convex Domains." The Journal of Geometric Analysis. 35(210).
Talks
JHU Geometric Analysis Seminar
Seminar at Johns Hopkins University, Baltimore, MD, USA
NCSU Geometric Analysis Seminar
Seminar at North Carolina State University, Raleigh, NC, USA
AMS Spring Southeastern Meeting 2026: Special Session on Geometric and Non-Smooth Analysis
Conference at Georgia Southern University, Savannah, GA, USA
AMS Fall Central Meeting 2025: Special Session on Riemannian Geometry and Symmetry
Conference at Saint Louis University, St. Louis, MO, USA
Rutgers Gauge Theory, Low-Dimensional Topology and Geometric Analysis Conference 2025
Conference at Rutgers University, New Brunswick, NJ, USA
ANU Geometric Analysis Seminar
Seminar at Australian National University, Canberra, Australia
MATRIX-MFO Tandem Workshop: Nonlinear Geometric Diffusion Equations
Conference Talk at Matrix Institute, Creswick, Australia
SLMath - Graduate Student Seminar
Seminar at SLMath, Berkeley, CA, USA
Geometric Flows and Relativity Workshop
Conference Talk at Jean Clevers Hotel, Punta Del Esta, Uruguay
Teaching
Fellowships and Awards
All Awards Received as a Graduate Student at the University of Tennessee
- Summer Departmental Research Fellowship, Summer 2025
- Spike Tickle STEM Endowed Fellowship, Spring 2025
- Graduate Student Fellowship: Passing UTK Oral Exam Early, Spring 2024
- Graduate Student Academic Achievement Award, Spring 2024
- Graduate Student Fellowship: Passing Preliminary Exams Early, Spring 2023
- F.M Dryzer Memorial Fellowship, Fall 2021
- Graduate School Fellowship: Previous Outstanding Record, Throughout Graduate School.