Christina Sormani

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All published works

Action	Title	Year	Authors
+ PDF Chat	Introducing Various Notions of Distances between Space-Times	2024	Anna Sakovich Christina Sormani
+ PDF Chat	Monotone Sequences of Metric Spaces with Compact Limits	2024	Raquel Perales Christina Sormani
+ PDF Chat	Volume above distance below	2024	Brian Allen Raquel Perales Christina Sormani
+	From Varadhan’s Limit to Eigenmaps: A Guide to the Geometric Analysis behind Manifold Learning	2023	Chen-Yun Lin Christina Sormani
+ PDF	An extreme limit with nonnegative scalar curvature	2023	Christina Sormani Wenchuan Tian Changliang Wang
+ PDF Chat	Conjectures on Convergence and Scalar Curvature	2023	Christina Sormani
+ PDF	The null distance encodes causality	2023	Anna Sakovich Christina Sormani
+	An Extreme Limit with Nonnegative Scalar Curvature	2023	Christina Sormani Wenchuan Tian Changliang Wang
+ PDF	Corrigendum to Intrinsic flat stability of the positive mass theorem for graphical hypersurfaces of Euclidean space (J. reine angew. Math. 727 (2017), 269–299)	2022	Lan-Hsuan Huang Dan A. Lee Christina Sormani
+ PDF Chat	Lorentzian Area and Volume Estimates for Integral Mean Curvature Bounds	2022	Melanie Graf Christina Sormani
+	From Varadhan's Limit to Eigenmaps: A Guide to the Geometric Analysis behind Manifold Learning	2022	Chen-Yun Lin Christina Sormani
+	C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 2	2021	Christina Sormani Fanny Bastien Hugo Béchet
+	C. Sormani - Intrinsic Flat and Gromov-Hausdorff Convergence 1	2021	Christina Sormani Fanny Bastien Hugo Béchet
+ PDF	Sequences of three dimensional manifolds with positive scalar curvature	2021	J. Basilio Christina Sormani
+	SWIF Convergence of Smocked Metric Spaces	2021	Moslie Dinowitz Hindy Drillick Maziar Farahzad Christina Sormani Ajmain Yamin
+	Lorentzian area and volume estimates for integral mean curvature bounds	2021	Melanie Graf Christina Sormani
+	Conjectures on Convergence and Scalar Curvature	2021	Christina Sormani Participants at the IAS Emerging Topics Workshop on Scalar Curvature Convergence
+ PDF Chat	Stability of the Spacetime Positive Mass Theorem in Spherical Symmetry	2020	Edward Bryden Marcus Khuri Christina Sormani
+ PDF Chat	Relating notions of convergence in geometric analysis	2020	Brian Allen Christina Sormani
+ PDF	Correction to: Bartnik’s Mass and Hamilton’s Modified Ricci Flow	2020	Chen-Yun Lin Christina Sormani
+	Errata to “Smooth convergence away from singular sets”	2020	Sajjad Lakzian Christina Sormani
+	Volume Above Distance Below	2020	Brian Allen Raquel Perales Christina Sormani
+ PDF Chat	Contrasting various notions of convergence in geometric analysis	2019	Brian Allen Christina Sormani
+	Relating Notions of Convergence in Geometric Analysis	2019	Brian Allen Christina Sormani
+	Stability of the Spacetime Positive Mass Theorem in Spherical Symmetry	2019	Edward Bryden Marcus Khuri Christina Sormani
+	Smocked Metric Spaces and their Tangent Cones	2019	Christina Sormani Demetre Kazaras David Afrifa Victoria Antonetti Moshe Dinowitz Hindy Drillick Maziar Farahzad Shanell George Aleah Lydeatte Hepburn Leslie Trang Huynh
+ PDF Chat	An intrinsic flat limit of Riemannian manifolds with no geodesics	2019	J. Basilio Demetre Kazaras Christina Sormani
+	Compactness Theorems for Sequences of Riemannian Manifolds	2019	Christina Sormani
+	Sequences of three dimensional manifolds with positive scalar curvature	2019	J. Basilio Christina Sormani
+	Relating Notions of Convergence in Geometric Analysis	2019	Brian Allen Christina Sormani
+	Stability of the Spacetime Positive Mass Theorem in Spherical Symmetry	2019	Edward Bryden Marcus Khuri Christina Sormani
+	Smocked Metric Spaces and their Tangent Cones	2019	Christina Sormani Demetre Kazaras David Afrifa Victoria Antonetti Moshe Dinowitz Hindy Drillick Maziar Farahzad Shanell George Aleah Lydeatte Hepburn Leslie Trang Huynh
+ PDF Chat	Geometrostatic Manifolds of Small ADM Mass	2018	Christina Sormani Iva Stavrov Allen
+	The Mathematics of Richard Schoen	2018	Christina Sormani Hubert L. Bray William P. Minicozzi Michael Eichmair Lan-Hsuan Huang Shing‐Tung Yau Karen Uhlenbeck Rob Kusner Fernando Codá marques Chikako Mese
+	An intrinsic flat limit of Riemannian manifolds with no geodesics	2018	J. Basilio Demetre Kazaras Christina Sormani
+	The Mathematics of Cathleen Synge Morawetz	2018	Irene M. Gamba Christina Sormani Terence Tao Leslie Greengard Tonatiuh Sánchez-Vizuet Kevin R. Payne
+ PDF Chat	Properties of the Intrinsic Flat Distance	2018	Jacobus W. Portegies Christina Sormani
+	Oberwolfach Report: Spacetime Intrinsic Flat Convergence	2018	Christina Sormani
+ PDF Chat	Intrinsic flat Arzela–Ascoli theorems	2018	Christina Sormani
+	An intrinsic flat limit of Riemannian manifolds with no geodesics	2018	J. Basilio Demetre Kazaras Christina Sormani
+ PDF Chat	Sewing Riemannian Manifolds with Positive Scalar Curvature	2017	J. Basilio J. Dodziuk Christina Sormani
+ PDF	Almost rigidity of the positive mass theorem for asymptotically hyperbolic manifolds with spherical symmetry	2017	Anna Sakovich Christina Sormani
+	Scalar Curvature and Intrinsic Flat Convergence	2017	Christina Sormani
+	Geometrostatic Manifolds of Small ADM Mass	2017	Christina Sormani Iva Stavrov Allen
+	Sewing Riemannian Manifolds with Positive Scalar Curvature	2017	J. Basilio Józef Dodziuk Christina Sormani
+	Geometrostatic Manifolds of Small ADM Mass	2017	Christina Sormani Iva Stavrov Allen
+ PDF Chat	Intrinsic flat convergence of covering spaces	2016	Zahra Sinaei Christina Sormani
+ PDF	Bartnik’s Mass and Hamilton’s Modified Ricci Flow	2016	Chen-Yun Lin Christina Sormani
+ PDF Chat	Null distance on a spacetime	2016	Christina Sormani Carlos Vega
+	Scalar Curvature and Intrinsic Flat Convergence	2016	Christina Sormani
+ PDF Chat	Intrinsic flat stability of the positive mass theorem for graphical hypersurfaces of Euclidean space	2015	Lan-Hsuan Huang Dan A. Lee Christina Sormani
+ PDF Chat	The nonlinear stability of rotationally symmetric spaces with low regularity	2015	Philippe G. LeFloch Christina Sormani
+ PDF	Various covering spectra for complete metric spaces	2015	Christina Sormani Guofang Wei
+	Intrinsic Flat Convergence of Covering Spaces	2014	Zahra Sinaei Christina Sormani
+ PDF	Sequences of open Riemannian manifolds with boundary	2014	Raquel Perales Christina Sormani
+	Intrinsic Flat Arzela-Ascoli Theorems	2014	Christina Sormani
+	The nonlinear stability of rotationally symmetric spaces with low regularity	2014	Philippe G. LeFloch Christina Sormani
+	Intrinsic flat stability of the positive mass theorem for graphical hypersurfaces of Euclidean space	2014	Lan-Hsuan Huang Dan A. Lee Christina Sormani
+ PDF Chat	Stability of the positive mass theorem for rotationally symmetric Riemannian manifolds	2014	Dan A. Lee Christina Sormani
+	Intrinsic Flat Convergence of Covering Spaces	2014	Zahra Sinaei Christina Sormani
+	The nonlinear stability of rotationally symmetric spaces with low regularity	2014	Philippe G. LeFloch Christina Sormani
+	Intrinsic Flat Arzela-Ascoli Theorems	2014	Christina Sormani
+ PDF	The tetrahedral property and a new Gromov–Hausdorff compactness theorem	2013	Christina Sormani
+ PDF	Smooth convergence away from singular sets	2013	Sajjad Lakzian Christina Sormani
+	The Tetrahedral Property and a new Gromov-Hausdorff Compactness Theorem	2012	Christina Sormani
+ PDF	Near-Equality of the Penrose Inequality for Rotationally Symmetric Riemannian Manifolds	2012	Dan A. Lee Christina Sormani
+	Smooth Convergence Away from Singular Sets	2012	Sajjad Lakzian Christina Sormani
+ PDF Chat	How Riemannian Manifolds Converge	2012	Christina Sormani
+	Various Covering Spectra for Complete Metric Spaces	2012	Christina Sormani Guofang Wei
+	Properties of the Intrinsic Flat Distance	2012	Jacobus W. Portegies Christina Sormani
+	Smooth Convergence Away from Singular Sets	2012	Sajjad Lakzian Christina Sormani
+	The Tetrahedral Property and a new Gromov-Hausdorff Compactness Theorem	2012	Christina Sormani
+	Stability of the Positive Mass Theorem for Rotationally Symmetric Riemannian Manifolds	2011	Dan A. Lee Christina Sormani
+ PDF	The intrinsic flat distance between Riemannian manifolds and other integral current spaces	2011	Christina Sormani Stefan Wenger
+	Stability of the Positive Mass Theorem for Rotationally Symmetric Riemannian Manifolds	2011	Dan A. Lee Christina Sormani
+	How Riemannian Manifolds Converge: A Survey	2010	Christina Sormani
+	The Intrinsic Flat Distance between Riemannian Manifolds and other Integral Current Spaces	2010	Christina Sormani Stefan Wenger
+	How Riemannian Manifolds Converge: A Survey	2010	Christina Sormani
+	The cut-off covering spectrum	2009	Christina Sormani Guofang Wei
+	Weak convergence of currents and cancellation	2009	Christina Sormani Stefan Wenger
+	Weak convergence and cancellation	2009	Christina Sormani Stefan Wenger
+	Weak convergence and cancellation	2009	Christina Sormani Stefan Wenger
+ PDF Chat	Conjugate points in length spaces	2008	Krishnan Shankar Christina Sormani
+	Conjugate Points in Length Spaces	2007	Krishnan Shankar Christina Sormani
+ PDF Chat	Convergence and the length spectrum	2007	Christina Sormani
+	The Cut-off Covering Spectrum	2007	Christina Sormani Guofang Wei
+	Conjugate Points in Length Spaces	2007	Krishnan Shankar Christina Sormani
+ PDF	Erratum to: "The covering spectrum of a compact length space''	2006	Christina Sormani Guofang Wei
+	Convergence and the Length Spectrum	2006	Christina Sormani
+	The Topology of Open Manifolds with Nonnegative Ricci Curvature	2006	Zhongmin Shen Christina Sormani
+	Convergence and the Length Spectrum	2006	Christina Sormani
+ PDF Chat	Friedmann cosmology and almost isotropy	2004	Christina Sormani
+ PDF	The covering spectrum of a compact length space	2004	Christina Sormani Guofang Wei
+	Universal covers for Hausdorff limits of noncompact spaces	2003	Christina Sormani Guofang Wei
+	Friedmann Cosmology and Almost Isotropy	2003	Christina Sormani
+	The covering spectrum of a compact length space	2003	Christina Sormani Guofang Wei
+	Friedmann Cosmology and Almost Isotropy	2003	Christina Sormani
+	Universal Covers for Hausdorff Limits of Noncompact Spaces	2002	Christina Sormani Guofang Wei
+ PDF Chat	The codimension one homology of a complete manifold with nonnegative Ricci curvature	2001	Zhongmin Shen Christina Sormani
+ PDF	Hausdorff convergence and universal covers	2001	Christina Sormani Guofang Wei
+ PDF	On loops representing elements of the fundamental group of a complete manifold with nonnegative Ricci curvature	2001	Christina Sormani
+ PDF	The almost rigidity of manifolds with lower bounds on Ricci curvature and minimal volume growth	2000	Christina Sormani
+ PDF	Nonnegative Ricci curvature, small linear diameter growth and finite generation of fundamental groups	2000	Christina Sormani
+ PDF	Harmonic functions on manifolds with nonnegative Ricci curvature and linear volume growth	2000	Christina Sormani
+	On Loops Representing Elements of the Fundamental Group of a Complete Manifold with	2000	Christina Sormani
+	Hausdorff Convergence and Universal Covers	2000	Christina Sormani Guofang Wei
+	Harmonic Functions on Manifolds with Nonnegative Ricci Curvature and Linear Volume Growth	1999	Christina Sormani
+	The Almost Rigidity of Manifolds with Lower Bounds on Ricci Curvature and Minimal Volume Growth	1999	Christina Sormani
+	On Loops Representing Elements of the Fundamental Group of a Complete Manifold with Nonnegative Ricci Curvature	1999	Christina Sormani
+	The codimension one homology of a complete manifold with nonnegative Ricci curvature	1999	Zhongmin Shen Christina Sormani
+ PDF	Busemann functions on manifolds with lower bounds on Ricci curvature and minimal volume growth	1998	Christina Sormani
+	Nonnegative Ricci curvature, small linear diameter growth and finite generation of fundamental groups	1998	Christina Sormani

Common Coauthors

Coauthor	Papers Together
Guofang Wei	11
Dan A. Lee	7
J. Basilio	7
Stefan Wenger	5
Demetre Kazaras	5
Lan-Hsuan Huang	4
Brian Allen	4
Chen-Yun Lin	4
Sajjad Lakzian	4
Raquel Perales	4
Ajmain Yamin	3
Zhongmin Shen	3
Zahra Sinaei	3
Krishnan Shankar	3
Hindy Drillick	3
Maziar Farahzad	3
Anna Sakovich	3
Philippe G. LeFloch	3
Iva Stavrov Allen	3
Marcus Khuri	3
Edward Bryden	3
Leslie Trang Huynh	2
Moshe Dinowitz	2
Emilio Minichiello	2
Julinda Mujo Pillati	2
Changliang Wang	2
Fanny Bastien	2
Hugo Béchet	2
Wenchuan Tian	2
David Afrifa	2
Srivishnupreeth Rendla	2
Brian Allen	2
Melanie Graf	2
Aleah Lydeatte Hepburn	2
Shanell George	2
Victoria Antonetti	2
Jacobus W. Portegies	2
J. Dodziuk	1
Shing‐Tung Yau	1
Participants at the IAS Emerging Topics Workshop on Scalar Curvature	1
Chikako Mese	1
Moslie Dinowitz	1
Ailana Fraser	1
Hubert L. Bray	1
Convergence	1
Fernando Codá marques	1
Rob Kusner	1
Michael Eichmair	1
Kevin R. Payne	1
Terence Tao	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF	Currents in metric spaces	2000	Luigi Ambrosio Bernd Kirchheim	35
+ PDF	On the structure of spaces with Ricci curvature bounded below. I	1997	Jeff Cheeger Tobias Colding	31
+	A Course in Metric Geometry	2001	Dmitri Burago Yuri Burago S. V. Ivanov	26
+	Metric Structures for Riemannian and Non-Riemannian Spaces	2007	Mikhael Gromov	23
+ PDF	On the proof of the positive mass conjecture in general relativity	1979	Richard Schoen Shing-Tung Yau	21
+ PDF	Smooth convergence away from singular sets	2013	Sajjad Lakzian Christina Sormani	21
+ PDF Chat	Stability of the positive mass theorem for rotationally symmetric Riemannian manifolds	2014	Dan A. Lee Christina Sormani	21
+ PDF	The intrinsic flat distance between Riemannian manifolds and other integral current spaces	2011	Christina Sormani Stefan Wenger	20
+	Groups of polynomial growth and expanding maps	1981	Mikhael Gromov	16
+ PDF Chat	Compactness for manifolds and integral currents with bounded diameter and volume	2010	Stefan Wenger	16
+	Ricci Curvature and Volume Convergence	1997	Tobias Colding	16
+ PDF	Manifolds near the boundary of existence	1991	Karsten Grove Peter Petersen	14
+ PDF	The splitting theorem for manifolds of nonnegative Ricci curvature	1971	Jeff Cheeger Detlef Gromoll	14
+ PDF Chat	Friedmann cosmology and almost isotropy	2004	Christina Sormani	14
+	Spin and Scalar Curvature in the Presence of a Fundamental Group. I	1980	Mikhael Gromov H. Blaine Lawson	14
+ PDF	Filling Riemannian manifolds	1983	Mikhael Gromov	14
+ PDF	The covering spectrum of a compact length space	2004	Christina Sormani Guofang Wei	13
+ PDF Chat	Intrinsic flat stability of the positive mass theorem for graphical hypersurfaces of Euclidean space	2015	Lan-Hsuan Huang Dan A. Lee Christina Sormani	13
+	Collapsing of Riemannian manifolds and eigenvalues of Laplace operator	1987	Kenji Fukaya	12
+ PDF	A note on curvature and fundamental group	1968	John Milnor	12
+	On the structure of manifolds with positive scalar curvature	1979	Richard Schoen Shing‐Tung Yau	11
+ PDF	Near-Equality of the Penrose Inequality for Rotationally Symmetric Riemannian Manifolds	2012	Dan A. Lee Christina Sormani	11
+ PDF	On complete manifolds with nonnegative Ricci curvature	1990	Uwe Abresch Detlef Gromoll	11
+ PDF	Hausdorff convergence and universal covers	2001	Christina Sormani Guofang Wei	11
+	Geometric Integration Theory	1957	Hassler Whitney	10
+ PDF	On the Structure of Complete Manifolds of Nonnegative Curvature	1972	Jeff Cheeger Detlef Gromoll	10
+	Weak convergence of currents and cancellation	2009	Christina Sormani Stefan Wenger	10
+ PDF	Examples of complete manifolds of positive Ricci curvature with nilpotent isometry groups	1988	Guofang Wei	10
+ PDF Chat	Flat convergence for integral currents in metric spaces	2006	Stefan Wenger	10
+	Geometric Measure Theory	1988	Herbert Fédérer	9
+ PDF	Dirac and Plateau billiards in domains with corners	2014	Misha Gromov	9
+ PDF Chat	The nonlinear stability of rotationally symmetric spaces with low regularity	2015	Philippe G. LeFloch Christina Sormani	9
+	Little topology, big volume	1992	Robert E. Greene V Peter Petersen	9
+	Scalar Curvature and Intrinsic Flat Convergence	2017	Christina Sormani	8
+ PDF	On the structure of spaces with Ricci curvature bounded below. III	2000	Jeff Cheeger Tobias Colding	8
+ PDF	Plateau-Stein manifolds	2014	Misha Gromov	8
+ PDF	The Inverse Mean Curvature Flow and the Riemannian Penrose Inequality	2001	Gerhard Huisken Tom Ilmanen	8
+	Lower Bounds on Ricci Curvature and the Almost Rigidity of Warped Products	1996	Jeff Cheeger Tobias Colding	8
+	A Basic Course in Algebraic Topology	1991	William S. Massey	8
+ PDF	Nonnegative Ricci curvature, small linear diameter growth and finite generation of fundamental groups	2000	Christina Sormani	8
+ PDF	On the geometry of metric measure spaces. II	2006	Karl‐Theodor Sturm	7
+ PDF Chat	Semicontinuity of eigenvalues under intrinsic flat convergence	2015	Jacobus W. Portegies	7
+	Construction of Manifolds of Positive Ricci Curvature with Big Volume and Large Betti Numbers	1997	G. Perelman	7
+	Comparison Theorems in Riemannian Geometry	2008	Jeff Cheeger David G. Ebin	7
+ PDF Chat	On the near-equality case of the positive mass theorem	2009	Dan A. Lee	7
+ PDF	Ricci curvature for metric-measure spaces via optimal transport	2009	John Lott Cédric Villani	7
+ PDF	On loops representing elements of the fundamental group of a complete manifold with nonnegative Ricci curvature	2001	Christina Sormani	7
+	A Relation Between Volume, Mean Curvature and Diameter	1993	Richard L. Bishop	7
+ PDF Chat	Stability of the Positive Mass Theorem for Graphical Hypersurfaces of Euclidean Space	2015	Lan-Hsuan Huang Dan A. Lee	7
+	Structures métriques pour les variétés riemanniennes	1981	Mikhael Gromov	7