Edward Thompson Bryden

Interests

  • Nonsmooth geometry
  • Geometric analysis and PDEs
  • Convergence of Riemannian manifolds
  • Stability (almost rigidity) of geometric inequalities
  • General relativity
Publications:

  1. Stability of the spacetime positive mass theorem in spherical symmetry, E. Bryden, M. Khuri, and C. Sormani. Journal of Geometric Analysis, 31:4191-4239, 2021.
  2. Stability of the positive mass theorem for axisymmetric manifolds, E. Bryden. Pacific Journal of Mathematics, 305:89-152, 2020.
  3. Sobolev bounds and convergence of Riemannian manifolds, B. Allen and E. Bryden. Nonlinear Analysis, 185, 2019.
  4. The positive mass theorem with angular momentum and charge for manifolds with boundary, E. Bryden, M. Khuri, and B. Sokolowsky. Journal of Mathematical Physics, 60:052501, 2019.
  5. The area-angular momentum-charge inequality for black holes with positive cosmological constant. Classical and Quantum Gravity, 34(12):125017, 2017.
  6. Sobolev Inequalities and Convergence for Riemannian Manifolds and Distance Functions, B. Allen and E. Bryden, arXiv:2112.05105[math.DG] December 10, 2021 https://arxiv.org/abs/2112.05105 (to appear in Annals of Global Analysis and Geometry)
Preprints:

  1. Stability of the positive mass theorem and torus rigidity theorem under integral curvature bounds, B. Allen, E. Bryden, and D. Kazaras, arXiv:2210.04340[math.DG], October 11, 2022 https://arxiv.org/abs/2210.04340
  2. On the stability of Llarull’s theorem in dimension three, B. Allen, E. Bryden, and D. Kazaras, arXiv:2305.18567[math.DG], May 29, 2023 https://arxiv.org/abs/2305.18567
  3. Stability for a class of three-tori with small negative scalar curvature, E. Bryden and L. Chen, arXiv:2404.12795[math.DG], May 14, 2024 https://arxiv.org/abs/2404.12795
  4. Volume Above Distance Below with Boundary II, B. Allen and E. Bryden, arXiv 2406.11541[math.DG], June 17, 2024 https://arxiv.org/abs/2406.11541