Justin Curry

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All published works

Action	Title	Year	Authors
+ PDF Chat	Configuration spaces of circles in the plane	2024	Justin Curry Ryan Gelnett Matthew C. B. Zaremsky
+ PDF Chat	Position Paper: Challenges and Opportunities in Topological Deep Learning	2024	Theodore Papamarkou Tolga Birdal Michael M. Bronstein Gunnar Carlsson Justin Curry Yue Gao Mustafa Hajij Roland Kwitt Píetro Lió Paolo Di Lorenzo
+	From trees to barcodes and back again II: Combinatorial and probabilistic aspects of a topological inverse problem	2023	Justin Curry Jordan DeSha Adélie Garin Kathryn Hess Lida Kanari Brendan Mallery
+	Convergence of Leray Cosheaves for Decorated Mapper Graphs	2023	Justin Curry Washington Mio Tom Needham Osman Berat Okutan Florian Russold
+	Algebraic and Geometric Models for Space Networking	2023	William Bernardoni Robert Cardona Jacob Cleveland Justin Curry Robert Green Brian Heller Alan Hylton Tung T. Lam Robert Kassouf-Short
+	Topologically Attributed Graphs for Shape Discrimination	2023	Justin Curry Washington Mio Tom Needham Osman Berat Okutan Florian Russold
+	Stability and Approximations for Decorated Reeb Spaces	2023	Justin Curry Washington Mio Tom Needham Osman Berat Okutan Florian Russold
+ PDF Chat	How Many Directions Determine a Shape and other Sufficiency Results for Two Topological Transforms	2022	Justin Curry Sayan Mukherjee Katharine Turner
+ PDF Chat	Decorated merge trees for persistent topology	2022	Justin Curry Haibin Hang Washington Mio Tom Needham Osman Berat Okutan
+	A Lattice-Theoretic Perspective on the Persistence Map	2022	Brendan Mallery Adélie Garin Justin Curry
+	A Sheaf-Theoretic Construction of Shape Space	2022	Shreya Arya Justin Curry Sayan Mukherjee
+	The Universal $\ell^p$-Metric on Merge Trees	2021	Robert Cardona Justin Curry Tung T. Lam Michael Lesnick
+	From Trees to Barcodes and Back Again II: Combinatorial and Probabilistic Aspects of a Topological Inverse Problem	2021	Justin Curry Jordan DeSha Adélie Garin Kathryn Hess Lida Kanari Brendan Mallery
+	Decorated Merge Trees for Persistent Topology	2021	Justin Curry Haibin Hang Washington Mio Tom Needham Osman Berat Okutan
+ PDF Chat	Moduli spaces of morse functions for persistence	2020	Michael J. Catanzaro Justin Curry Brittany Terese Fasy Jānis Lazovskis Greg Malen Hans Riess Bei Wang Matthew Zabka
+	A Relative Theory of Interleavings	2020	Magnus Bakke Botnan Justin Curry Elizabeth Munch
+	Mental Health in the Mathematics Community	2019	Mikael Vejdemo‐Johansson Justin Curry Julie A. Corrigan
+	Functors on Posets Left Kan Extend to Cosheaves: an Erratum	2019	Justin Curry
+ PDF Chat	The fiber of the persistence map for functions on the interval	2018	Justin Curry
+	When Left and Right Turns Inside Out: A Geometric and Categorical Introduction to an Inverse Problem in Persistence	2018	Justin Curry
+	How Many Directions Determine a Shape and other Sufficiency Results for Two Topological Transforms	2018	Justin Curry Sayan Mukherjee Katharine Turner
+ PDF Chat	Dualities between cellular sheaves and cosheaves	2017	Justin Curry
+	The Fiber of the Persistence Map	2017	Justin Curry
+	The Fiber of the Persistence Map for Functions on the Interval	2017	Justin Curry
+	The Fiber of the Persistence Map for Functions on the Interval	2017	Justin Curry
+	Dualities between Cellular Sheaves and Cosheaves	2016	Justin Curry
+	Classification of Constructible Cosheaves	2016	Justin Curry Amit Patel
+	Classification of Constructible Cosheaves	2016	Justin Curry Amit Patel
+	Dualities between Cellular Sheaves and Cosheaves	2016	Justin Curry
+	Classification of Constructible Cosheaves	2016	Justin Curry Amit Patel
+ PDF Chat	Discrete Morse Theory for Computing Cellular Sheaf Cohomology	2015	Justin Curry Robert Ghrist Vidit Nanda
+ PDF Chat	Topological data analysis and cosheaves	2015	Justin Curry
+	Topological Data Analysis and Cosheaves	2014	Justin Curry
+	Topological Data Analysis and Cosheaves	2014	Justin Curry
+	Discrete Morse theory for computing cellular sheaf cohomology	2013	Justin Curry Robert Ghrist Vidit Nanda
+	Sheaves, Cosheaves and Applications	2013	Justin Curry
+	Discrete Morse theory for computing cellular sheaf cohomology	2013	Justin Curry Robert Ghrist Vidit Nanda
+	Euler calculus with applications to signals and sensing	2012	Justin Curry Robert Ghrist Michael Robinson
+	Euler Calculus with Applications to Signals and Sensing	2012	Justin Curry Robert Ghrist Michael Robinson

Common Coauthors

Coauthor	Papers Together
Washington Mio	5
Osman Berat Okutan	5
Robert Ghrist	5
Tom Needham	5
Vidit Nanda	3
Adélie Garin	3
Brendan Mallery	3
Florian Russold	3
Sayan Mukherjee	2
Robert Cardona	2
Kathryn Hess	2
Haibin Hang	2
Katharine Turner	2
Michael Robinson	2
Jordan DeSha	2
Tung T. Lam	2
Amit Patel	2
Lida Kanari	2
Matthew Zabka	1
Vasileios Maroulas	1
Bei Wang	1
Michael Lesnick	1
Mikael Vejdemo‐Johansson	1
Michael J. Catanzaro	1
Píetro Lió	1
Brittany Terese Fasy	1
Farzana Nasrin	1
Brian Heller	1
Robert Green	1
Jacob Cleveland	1
William Bernardoni	1
Theodore Papamarkou	1
Karthikeyan Natesan Ramamurthy	1
Nina Miolane	1
Roland Kwitt	1
Robert Kassouf-Short	1
Bei Wang	1
Yusu Wang	1
Gunnar Carlsson	1
Yue Gao	1
Magnus Bakke Botnan	1
Amit Patel	1
Ryan Gelnett	1
Paolo Di Lorenzo	1
Matthew C. B. Zaremsky	1
Mustafa Hajij	1
Bastian Rieck	1
Jᾱnis Lazovskis	1
Greg Malen	1
Alan Hylton	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Sheaves, Cosheaves and Applications	2013	Justin Curry	8
+ PDF Chat	Categorified Reeb Graphs	2016	Vin de Silva Elizabeth Munch Amit Patel	6
+	Operations on constructible functions	1991	Pierre Schapira	6
+ PDF Chat	Stability of Persistence Diagrams	2006	David Cohen‐Steiner Herbert Edelsbrunner John Harer	6
+ PDF Chat	Computing Persistent Homology	2004	Afra Zomorodian Gunnar Carlsson	6
+ PDF Chat	Topological data analysis and cosheaves	2015	Justin Curry	5
+ PDF Chat	Barcodes: The persistent topology of data	2007	Robert Ghrist	5
+ PDF Chat	Exit paths and constructible stacks	2009	David Treumann	5
+ PDF Chat	The Riemann-Hilbert Problem for Holonomic Systems	1984	Masaki Kashiwara	5
+ PDF Chat	Metrics for Generalized Persistence Modules	2014	Peter Bubenik Vin de Silva Jonathan Scott	5
+	Dihomology: I. Relations Between Homology Theories	1962	E. C. Zeeman	5
+ PDF Chat	Zigzag Persistence	2010	Gunnar Carlsson Vin de Silva	5
+	Euler calculus with applications to signals and sensing	2012	Justin Curry Robert Ghrist Michael Robinson	5
+	Algebraic topology	2001	Allen Hatcher	4
+	The fundamental category of a stratified space	2008	Jonathan Woolf	4
+ PDF Chat	The Theory of the Interleaving Distance on Multidimensional Persistence Modules	2015	Michael Lesnick	4
+	Tame Topology and O-minimal Structures	1998	L. P. D. van den Dries	4
+	Sheaves on Triangulated Spaces and Koszul Duality	1999	Maxim Vybornov	4
+	Persistence barcodes for shapes	2004	Gunnar Carlsson Afra Zomorodian Anne D. Collins Leonidas Guibas	4
+	Zigzag persistent homology and real-valued functions	2009	Gunnar Carlsson Vin de Silva Dmitriy Morozov	4
+	Elements of Algebraic Topology	2018	James R. Munkres	4
+	On derived equivalences of categories of sheaves over finite posets	2007	Sefi Ladkani	4
+ PDF Chat	Decomposition of pointwise finite-dimensional persistence modules	2014	William Crawley-Boevey	4
+ PDF Chat	Classifying spaces and spectral sequences	1968	Graeme Segal	3
+ PDF Chat	Generalized persistence diagrams	2018	Amit Patel	3
+	The Nyquist theorem for cellular sheaves	2013	Michael Robinson	3
+	The calculus of snakes and the combinatorics of Bernoulli, Euler and Springer numbers of Coxeter groups	1992	Vladimir I. Arnold	3
+ PDF Chat	Proximity of persistence modules and their diagrams	2009	Frédéric Chazal David Cohen‐Steiner Marc Glisse Leonidas Guibas Steve Oudot	3
+ PDF Chat	On the imbedding of systems of compacta in simplicial complexes	1948	Karol Borsuk	3
+	Localized homology	2008	Afra Zomorodian Gunnar Carlsson	3
+	The Fundamental Theorem of Linear Algebra	1993	Gilbert Strang	3
+ PDF Chat	The fiber of the persistence map for functions on the interval	2018	Justin Curry	3
+	Constructible functions and Lagrangian cycles on orbifolds	2011	Davesh Maulik David Treumann	3
+	On product and change of base for toposes	1985	Andrews Pitts	3
+ PDF Chat	Persistent homology transform for modeling shapes and surfaces	2014	Katharine Turner Sayan Mukherjee Douglas Boyer	3
+ PDF Chat	Extracting insights from the shape of complex data using topology	2013	Pek Yee Lum Satwinder Singh Amy Lehman T. Ishkanov Mikael Vejdemo‐Johansson Muthuraman Alagappan John Gunnar Carlsson Gunnar Carlsson	3
+ PDF Chat	Coverage in sensor networks via persistent homology	2007	Vin de Silva Robert Ghrist	3
+ PDF Chat	The Structure and Stability of Persistence Modules	2016	Frédéric Chazal Vin de Silva Marc Glisse Steve Oudot	3
+ PDF Chat	Topological Persistence for Circle-Valued Maps	2013	Dan Burghelea Tamal K. Dey	3
+ PDF Chat	Notes on Topological Stability	2012	John N. Mather	3
+	Coordinate-free Coverage in Sensor Networks with Controlled Boundaries via Homology	2006	V. de Silva Robert Ghrist	3
+ PDF Chat	Homology theory for locally compact spaces.	1960	Armand Borel John C. Moore	2
+ PDF Chat	Discrete Morse theory for free chain complexes	2005	Dmitry N. Kozlov	2
+	Sheaves on finite posets and modules over normal semigroup rings	2001	Kohji Yanagawa	2
+ PDF Chat	On a theory of computation and complexity over the real numbers: 𝑁𝑃- completeness, recursive functions and universal machines	1989	Lenore Blum M. Shub Steve Smale	2
+	Flow-Cut Dualities for Sheaves on Graphs	2014	Sanjeevi Krishnan	2
+	Intersection homology II	1983	Mark Goresky Robert Macpherson	2
+ PDF Chat	Euler integration over definable functions	2010	Yuliy Baryshnikov Robert Ghrist	2
+ PDF Chat	A Complexity Theory of Constructible Functions and Sheaves	2014	Saugata Basu	2
+ PDF Chat	Discrete Morse theory for cellular resolutions	2002	Ekkehard Batzies Volkmar Welker	2