Research
Papers
- B. Allen, E. Bryden, and D. Kazaras, On the stability of Llarull’s theorem in dimension three, Math. Ann. (2025), no.1, 373–398; MR4887762
- B. Edward and L. Chen, Stability for a class of three-tori with small negative scalar curvature, J. Geom. Anal. 35 (2025), no. 5, Paper No. 155, 65 pp.; MR4886610
- B. Allen and E. Bryden, Volume above distance below with boundary II, Ann. Global Anal. Geom. 67 (2025), no.2, Paper No. 12, 12pp.
- B. Allen and E. Bryden, Exploring a modification of dp convergence, Nonlinear Anal. 246 (2024), Paper No. 113598, 14 pp.
- B. Allen and E. Bryden, Sobolev inequalities and convergence for Riemannian metrics and distance functions, Ann. Global Anal. Geom. 63 (2023), no. 4, Paper No. 28, 24 pp.
- E. Bryden, M. Khuri, and C. Sormani, Stability of the spacetime positive mass theorem in spherical symmetry, J. Geom. Anal. 31 (2021), no. 4, 4191-4239.
- Stability of the positive mass theorem for axisymmetric manifolds, E. Bryden, Pacific J. Math. 305 (2020), no.1, 89-152.
- E. Bryden, M. Khuri, and B. Sokolowsky, The positive mass theorem with angular momentum and charge for manifolds with boundary, J. Math. Phys. 60 (2019), no. 5, 052501, 10 pp.
- E. Bryden, M. Khuri, and B. Sokolowsky, The positive mass theorem with angular momentum and charge for manifolds with boundary, J. Math. Phys. 60 (2019), no. 5, 052501, 10 pp.
- B. Allen and E. Bryden, Sobolev bounds and convergence of Riemannian manifolds, Nonlinear Anal. 185 (2019), 142-169.
- E. Bryden and M. Khuri, The area-angular momentum-charge inequality for black holes with positive cosmological constant, Classical Quantum Gravity 34 (2017), no 12, 125017, 24 pp.
Preprints
- B. Allen, E. Bryden, D. Kazaras, and M. Khuri, Proof of the spacetime Penrose inequality with suboptimal constant in the asymptotically flat and asymptotically hyperboloidal regimes, arXiv:2504.10641[math.DG], April 2025 https://arxiv.org/abs/2504.10641
- 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