Here are some recent publications:
Proof of the Spacetime Penrose Inequality With Suboptimal Constant in the Asymptotically Flat and Asymptotically Hyperboloidal Regimes, B. Allen, E. Bryden, D. Kazaras, M. Khuri, Preprint (2025) arXiv:2504.10641
Codimension 2 drawstrings with scalar curvature lower bounds, D. Kazaras, Kai Xu, Preprint (2025) arXiv:2501.09149
Scalar curvature and volume entropy of hyperbolic 3-manifolds, D. Kazaras, A. Song, K. Xu, Preprint (2023) arXiv:2312.00138
Drawstrings and flexibility in the Geroch conjecture, D. Kazaras and K. Xu, Preprint (2023) arXiv:2309.03756
On the Stability of Llarull's Theorem in Dimension Three B. Allen, E. Bryden, D. Kazaras, Math. Annalen (2025) arXiv:2305.18567
Spectral Torical Band Inequalities and Generalizations of the Schoen-Yau Black Hole Existence Theorem Sven Hirsch, D. Kazaras, M. Khuri, Y. Zhang, International Mathematics Research Notices (2024), arXiv:2301.08270
Stability of the positive mass and torus rigidity theorems under integral curvature bounds B. Allen, E. Bryden, D. Kazaras Preprint (2022), arxiv:2210.04340
Rigid comparison geometry of Riemannian bands and open manifolds. S. Hirsch, D. Kazaras, M. Khuri, Y. Zhang Math. Annallen (2022), arXiv:2209.12857
Spacetime harmonic functions on asymptotically hyperbolic manifolds and mass. H. Bray, S. Hirsch, D. Kazaras, M. Khuri, Y. Zhang. Preprint (2022), Available upon request.
Stability of the positive mass theorem under Ricci curvature lower bounds, D. Kazaras, Marcus Khuri and Dan A. Lee, (2024) Mathematical Research Letters, arXiv:2111.05202
Spacetime Harmonic Functions and Applications to Mass contribution to Perspectives in Scalar Curvature (2021) Hugh Bray, Sven Hirsch, D. Kazaras Marcus Khuri, Yiyue Zhang
Spacetime Harmonic Functions and the Mass of 3-Dimensional Asymptotically Flat Initial Data for the Einstein Equations in Journal of Differential Geometry (2020) S. Hirsch, D. Kazaras, and M. Khuri
Harmonic Functions and The Mass of 3-Dimensional Asymptotically Flat Riemannian Manifolds The Journal of Geometric Analysis (2022) Hugh Bray, D. Kazaras, Marcus Khuri, Daniel Stern
Smocked metric spaces and their tangent cones Missouri J. Math. Sci. (2020) joint with C. Sormani and students David Afrifa, Victoria Antonetti, Moshe Dinowitz, Hindy Drillick, Maziar Farahzad, Shanell George, Aleah Lydeatte Hepburn, Leslie Trang Huynh, Emilio Minichiello, Julinda Mujo Pillati, Srivishnupreeth Rendla, Ajmain Yamin
Desingularizing positive scalar curvature 4-manifolds Math. Annalen (2019)
On positive scalar curvature cobordisms and the conformal Laplacian on end-periodic manifolds in Comm. An. Geom. (2018) joint with D. Ruberman and N. Saveliev
An intrinsic flat limit of Riemannian manifolds with no geodesics in Geometriae Dedicata (2018) joint with C. Sormani and J. Basilio
Minimal hypersurfaces and bordism of positive scalar curvature metrics in Mathematische Annalen (2017) joint with B. Botvinnik
Gluing Scalar-Flat Manifolds with Vanishing Mean Curvature on the Boundary (2016)
Harnack Estimate for the Endangered Species Equation in Proceedings of the American Mathematical Society (2015) joint with M. Cerenzia and X. Cao
An Explicit Formula for the Spherical Curves with Constant Torsion in Pacific Journal of Mathematics (2012) joint with I. Sterling