Here are some recent publications:


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, Preprint (2023) 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, Preprint (2023), 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 Preprint (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 (2021) joint with Marcus Khuri and Dan A. Lee

Spacetime Harmonic Functions and Applications to Mass contribution to Perspectives in Scalar Curvature (2021) joint with Hugh Bray, Sven Hirsch, 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) joint with S. Hirsch and M. Khuri

Harmonic Functions and The Mass of 3-Dimensional Asymptotically Flat Riemannian Manifolds preprint (2019) joint with Hugh Bray, 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