Ivan Izmestiev

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All published works

Action	Title	Year	Authors
+ PDF Chat	Discrete Laplacians -- spherical and hyperbolic	2024	Ivan Izmestiev Wai Yeung Lam
+	Isometric deformations of discrete and smooth T-surfaces	2024	Ivan Izmestiev Arvin Rasoulzadeh Jonas Tervooren
+	Prescribed curvature problem for discrete conformality on convex spherical cone-metrics	2023	Ivan Izmestiev Роман Просанов Tianqi Wu
+ PDF Chat	Differential Geometry of Space Curves: Forgotten Chapters	2023	Dmitry Fuchs Ivan Izmestiev M Raffaelli Gudrun Szewieczek Serge Tabachnikov
+ PDF Chat	Matching centroids by a projective transformation	2023	Ivan Izmestiev
+ PDF Chat	Deformation of Quadrilaterals and Addition on Elliptic Curves	2023	Ivan Izmestiev
+	Isometric Deformations of Discrete and Smooth T-surfaces	2023	Ivan Izmestiev Arvin Rasoulzadeh Jonas Tervooren
+	Prescribed curvature problem for discrete conformality on convex spherical cone-metrics	2023	Ivan Izmestiev Роман Просанов Tianqi Wu
+	Convex Bodies: Mixed Volumes and Inequalities	2022	Ivan Izmestiev
+	Differential geometry of space curves: Forgotten chapters	2022	Dmitry Fuchs Ivan Izmestiev M Raffaelli Gudrun Szewieczek Serge Tabachnikov
+ PDF Chat	Four equivalent properties of integrable billiards	2021	Alexei Glutsyuk Ivan Izmestiev Serge Tabachnikov
+ PDF Chat	Cross-ratio Dynamics on Ideal Polygons	2020	Maxim Arnold Dmitry Fuchs Ivan Izmestiev Serge Tabachnikov
+	Four equivalent properties of integrable billiards	2019	Alexei Glutsyuk Ivan Izmestiev Serge Tabachnikov
+ PDF Chat	The Regge symmetry, confocal conics, and the Schläfli formula	2019	Arseniy Akopyan Ivan Izmestiev
+	Regge symmetry, confocal conics, and Schl\"afli formula	2019	Arseniy Akopyan Ivan Izmestiev
+	The Regge symmetry, confocal conics, and the Schl\"afli formula	2019	Arseniy Akopyan Ivan Izmestiev
+	The Regge symmetry, confocal conics, and the Schläfli formula	2019	Arseniy Akopyan Ivan Izmestiev
+ PDF Chat	Statics and kinematics of frameworks in Euclidean and non-Euclidean geometry	2019	Ivan Izmestiev
+ PDF Chat	Spherical and hyperbolic conics	2019	Ivan Izmestiev
+	Four equivalent properties of integrable billiards	2019	Alexei Glutsyuk Ivan Izmestiev Serge Tabachnikov
+	The Regge symmetry, confocal conics, and the Schläfli formula	2019	Arseniy Akopyan Ivan Izmestiev
+	Cross-ratio dynamics on ideal polygons	2018	Maxim Arnold Dmitry Fuchs Ivan Izmestiev Serge Tabachnikov
+	Cross-ratio dynamics on ideal polygons	2018	Maxim Arnold Dmitry Fuchs Ivan Izmestiev Serge Tabachnikov
+ PDF Chat	Simplicial moves on balanced complexes	2017	Ivan Izmestiev Steven Klee Isabella Novik
+ PDF Chat	Iterating Evolutes and Involutes	2017	Maxim Arnold Dmitry Fuchs Ivan Izmestiev Serge Tabachnikov Emmanuel Tsukerman
+	A remark on spaces of flat metrics with cone singularities of constant sign curvatures	2017	François Fillastre Ivan Izmestiev
+ PDF Chat	Ivory’s theorem revisited	2017	Ivan Izmestiev Serge Tabachnikov
+ PDF Chat	A remark on spaces of flat metrics with cone singularities of constant sign curvatures	2017	François Fillastre Ivan Izmestiev
+	A remark on spaces of flat metrics with cone singularities of constant sign curvatures	2017	François Fillastre Ivan Izmestiev
+	Statics and kinematics of frameworks in Euclidean and non-Euclidean geometry	2017	Ivan Izmestiev
+	Spherical and hyperbolic conics	2017	Ivan Izmestiev
+	Ivory's Theorem revisited	2016	Ivan Izmestiev Serge Tabachnikov
+	SHAPES OF POLYHEDRA, MIXED VOLUMES AND HYPERBOLIC GEOMETRY	2016	François Fillastre Ivan Izmestiev
+ PDF Chat	Classification of Flexible Kokotsakis Polyhedra with Quadrangular Base	2016	Ivan Izmestiev
+ PDF Chat	Hyperbolization of cusps with convex boundary	2016	François Fillastre Ivan Izmestiev Giona Veronelli
+	Ivory's Theorem revisited	2016	Ivan Izmestiev Serge Tabachnikov
+	Simplicial moves on balanced complexes	2015	Ivan Izmestiev Steven Klee Isabella Novik
+	A simple proof of an isoperimetric inequality for Euclidean and hyperbolic cone-surfaces	2015	Ivan Izmestiev
+ PDF Chat	Derived subdivisions make every PL sphere polytopal	2015	Karim Adiprasito Ivan Izmestiev
+ PDF Chat	Hyperbolization of cusps with convex boundary	2015	François Fillastre Ivan Izmestiev Giona Veronelli
+	Color or cover	2015	Ivan Izmestiev
+	Iterating evolutes and involutes	2015	Maxim Arnold Dmitry Fuchs Ivan Izmestiev Serge Tabachnikov Emmanuel Tsukerman
+	A general discrete Wirtinger inequality and spectra of discrete Laplacians	2015	Ivan Izmestiev
+	Hyperbolization of cusps with convex boundary	2015	François Fillastre Ivan Izmestiev Giona Veronelli
+ PDF Chat	A Porism for Cyclic Quadrilaterals, Butterfly Theorems, and Hyperbolic Geometry	2015	Ivan Izmestiev
+	Color or cover	2015	Ivan Izmestiev
+	Deformation of quadrilaterals and addition on elliptic curves	2015	Ivan Izmestiev
+	Simplicial moves on balanced complexes	2015	Ivan Izmestiev Steven Klee Isabella Novik
+ PDF Chat	Variational properties of the discrete Hilbert-Einstein functional	2014	Ivan Izmestiev
+	Classification of flexible Kokotsakis polyhedra with quadrangular base	2014	Ivan Izmestiev
+	A simple proof of an isoperimetric inequality for euclidean and hyperbolic cone-surfaces	2014	Ivan Izmestiev
+	A porism for cyclic quadrilaterals, butterfly theorems, and hyperbolic geometry	2014	Ivan Izmestiev
+	A simple proof of an isoperimetric inequality for euclidean and hyperbolic cone-surfaces	2014	Ivan Izmestiev
+	Classification of flexible Kokotsakis polyhedra with quadrangular base	2014	Ivan Izmestiev
+	Fitting centroids by a projective transformation	2014	Ivan Izmestiev
+	Variational properties of the discrete Hilbert-Einstein functional	2013	Ivan Izmestiev
+	Derived subdivisions make every PL sphere polytopal	2013	Karim Adiprasito Ivan Izmestiev
+ PDF Chat	Shapes of polyhedra, mixed volumes, and hyperbolic geometry	2013	François Fillastre Ivan Izmestiev
+ PDF Chat	Infinitesimal Rigidity of Convex Polyhedra through the Second Derivative of the Hilbert–Einstein Functional	2013	Ivan Izmestiev
+ PDF Chat	Infinitesimal rigidity of smooth convex surfaces through the second derivative of the Hilbert–Einstein functional	2013	Ivan Izmestiev
+	OF AN ISOPERIMETRIC INEQUALITY FOR EUCLIDEAN AND HYPERBOLIC CONE-SURFACES	2013	Ivan Izmestiev
+	Derived subdivisions make every PL sphere polytopal	2013	Karim Adiprasito Ivan Izmestiev
+	Variational properties of the discrete Hilbert-Einstein functional	2013	Ivan Izmestiev
+ PDF Chat	There is no triangulation of the torus with vertex degrees 5, 6, ... , 6, 7 and related results: geometric proofs for combinatorial theorems	2012	Ivan Izmestiev Robert Kusner Günter Rote Boris Springborn John M. Sullivan
+	Infinitesimal rigidity of convex surfaces through the second derivative of the Hilbert-Einstein functional I: Polyhedral case	2011	Ivan Izmestiev
+	Gauss images of hyperbolic cusps with convex polyhedral boundary	2011	François Fillastre Ivan Izmestiev
+	Examples of infinitesimally flexible 3-dimensional hyperbolic cone-manifolds	2011	Ivan Izmestiev
+	Infinitesimal rigidity of convex surfaces through the second derivative of the Hilbert-Einstein functional I: Polyhedral case	2011	Ivan Izmestiev
+	Infinitesimal rigidity of convex surfaces through the second derivative of the Hilbert-Einstein functional II: Smooth case	2011	Ivan Izmestiev
+ PDF Chat	Infinitesimal rigidity of polyhedra with vertices in convex position	2010	Ivan Izmestiev Jean‐Marc Schlenker
+ PDF Chat	The Colin de Verdière number and graphs of polytopes	2010	Ivan Izmestiev
+	Examples of infinitesimally flexible 3--dimensional hyperbolic cone-manifolds	2009	Ivan Izmestiev
+	Gauss images of hyperbolic cusps with convex polyhedral boundary	2009	François Fillastre Ivan Izmestiev
+ PDF Chat	Hyperbolic cusps with convex polyhedral boundary	2008	François Fillastre Ivan Izmestiev
+	Projective background of the infinitesimal rigidity of frameworks	2008	Ivan Izmestiev
+ PDF Chat	A Variational Proof of Alexandrov’s Convex Cap Theorem	2008	Ivan Izmestiev
+ PDF Chat	Alexandrov’s theorem, weighted Delaunay triangulations, and mixed volumes	2008	Alexander I. Bobenko Ivan Izmestiev
+	Projective background of the infinitesimal rigidity of frameworks	2008	Ivan Izmestiev
+	The Colin de Verdière number and graphs of polytopes	2007	Ivan Izmestiev
+	A variational proof of Alexandrov's convex cap theorem	2007	Ivan Izmestiev
+	Alexandrov's theorem, weighted Delaunay triangulations, and mixed volumes	2006	Alexander I. Bobenko Ivan Izmestiev
+ PDF Chat	ON THE HULL NUMBERS OF TORUS LINKS	2006	Ivan Izmestiev
+	Alexandrov's theorem, weighted Delaunay triangulations, and mixed volumes	2006	Alexander I. Bobenko Ivan Izmestiev
+	Extension of colorings	2004	Ivan Izmestiev
+	On the hull numbers of torus links	2004	Ivan Izmestiev
+ PDF Chat	Branched coverings, triangulations, and 3-manifolds	2003	Ivan Izmestiev Michael Joswig
+	Branched Coverings Defined by Triangulations	2001	Ivan Izmestiev Michael Joswig
+	None	2001	Ivan Izmestiev
+	Branched Coverings, Triangulations, and 3-Manifolds	2001	Ivan Izmestiev Michael Joswig

Common Coauthors

Coauthor	Papers Together
Serge Tabachnikov	13
François Fillastre	11
Dmitry Fuchs	7
Maxim Arnold	5
Arseniy Akopyan	5
Isabella Novik	3
Michael Joswig	3
Steven Klee	3
Karim Adiprasito	3
Giona Veronelli	3
Alexander I. Bobenko	3
Alexei Glutsyuk	3
Gudrun Szewieczek	2
M Raffaelli	2
Tianqi Wu	2
Emmanuel Tsukerman	2
Arvin Rasoulzadeh	2
Jonas Tervooren	2
Роман Просанов	2
Boris Springborn	1
John M. Sullivan	1
Günter Rote	1
Robert Kusner	1
Wai Yeung Lam	1
Jean‐Marc Schlenker	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Alexandrov’s theorem, weighted Delaunay triangulations, and mixed volumes	2008	Alexander I. Bobenko Ivan Izmestiev	14
+	Extrinsic Geometry of Convex Surfaces	1973	А. В. Погорелов	11
+ PDF Chat	Hyperbolic cusps with convex polyhedral boundary	2008	François Fillastre Ivan Izmestiev	10
+ PDF Chat	Hyperbolic manifolds with convex boundary	2005	Jean‐Marc Schlenker	10
+ PDF Chat	�ber die Starrheit konvexer Polyeder	1916	Max Dehn	9
+	Convex Bodies: The Brunn–Minkowski Theory	1993	Rolf Schneider	8
+ PDF Chat	Weights on polytopes	1996	Peter McMullen	8
+ PDF Chat	A Variational Proof of Alexandrov’s Convex Cap Theorem	2008	Ivan Izmestiev	7
+	Existence of a convex polyhedron and a convex surface with given metric	2002		7
+	Sur les polygones et les polyèdres (Second Mémoire)	2009	Augustin-Louis Cauchy	6
+	Euclidean Structures on Simplicial Surfaces and Hyperbolic Volume	1994	Igor Rivin	6
+	The number of faces of a simplicial convex polytope	1980	Richard P. Stanley	5
+	The deformation theory of hyperbolic cone–3–manifolds with cone-angles less than 2<i>π</i>	2013	Hartmut Weiß	5
+	Nondeformability of Einstein metrics	1978	Norihito Koiso	5
+ PDF Chat	The Colin de Verdière number and graphs of polytopes	2010	Ivan Izmestiev	5
+	Gauss images of hyperbolic cusps with convex polyhedral boundary	2011	François Fillastre Ivan Izmestiev	5
+	On Discrete Subgroups of Lie Groups	1960	André Weil	5
+ PDF Chat	Infinitesimal Rigidity of Convex Polyhedra through the Second Derivative of the Hilbert–Einstein Functional	2013	Ivan Izmestiev	5
+	A characterization of compact convex polyhedra in hyperbolic 3-space	1993	Craig D. Hodgson Igor Rivin	5
+	Rigidity and the Alexandrov-Fenchel inequality	1992	P. Filliman	5
+ PDF Chat	Polyhedral realisation of hyperbolic metrics with conical singularities on compact surfaces	2007	François Fillastre	5
+ PDF Chat	Shapes of polyhedra and triangulations of the sphere	1998	William P. Thurston	5
+ PDF Chat	Branched coverings, triangulations, and 3-manifolds	2003	Ivan Izmestiev Michael Joswig	4
+ PDF Chat	A Rigidity Criterion for Non-Convex Polyhedra	2004	Jean‐Marc Schlenker	4
+	Geometry and Billiards	2005	Serge Tabachnikov	4
+ PDF Chat	Discrete conformal variations and scalar curvature on piecewise flat two- and three-dimensional manifolds	2011	David Glickenstein	4
+ PDF Chat	Ivory's Theorem in Hyperbolic Spaces	2004	Hellmuth Stachel Johannes Wallner	4
+ PDF Chat	Ivory’s theorem revisited	2017	Ivan Izmestiev Serge Tabachnikov	4
+ PDF Chat	Infinitesimal rigidity of cone-manifolds and the Stoker problem for hyperbolic and Euclidean polyhedra	2011	Rafe Mazzeo Grégoire Montcouquiol	4
+	Geometry of Spaces of Constant Curvature	1993	D. V. Alekseevskij É. B. Vinberg A. S. Solodovnikov	4
+	Lectures on Polytopes	1994	Günter M. Ziegler	4
+ PDF Chat	A kinematic approach to Kokotsakis meshes	2010	Hellmuth Stachel	4
+	Polygones du plan et polyedres hyperboliques	1992	Christophe Bavard Étienne Ghys	4
+ PDF Chat	Projectivities in simplicial complexes and colorings of simple polytopes	2002	Michael Joswig	4
+	The Weyl and Minkowski problems in differential geometry in the large	1953	Louis Nirenberg	4
+ PDF Chat	Fuchsian polyhedra in Lorentzian space-forms	2010	François Fillastre	4
+	Surfaces convexes fuchsiennes dans les espaces lorentziens � courbure constante	2000	Fran�ois Labourie Jean‐Marc Schlenker	4
+	On weakly convex star-shaped polyhedra	2007	Jean‐Marc Schlenker	4
+ PDF Chat	A Discrete Laplace–Beltrami Operator for Simplicial Surfaces	2007	Alexander I. Bobenko Boris Springborn	4
+	On simple polytopes	1993	Peter McMullen	4
+	Über die bedingt-periodische Bewegung eines Massenpunktes	1924	J. Weinacht	3
+ PDF Chat	Rigidity of hyperbolic cone-manifolds and hyperbolic Dehn surgery	1998	Craig D. Hodgson Steven P. Kerckhoff	3
+ PDF Chat	On the Theory of Coconvex Bodies	2014	Askold Khovanskiĭ Vladlen Timorin	3
+	Konstruktionsmethoden und das kombinatorische Homöomorphieproblem für Triangulationen kompakter semilinearer Mannigfaltigkeiten	1987	Udo Pachner	3
+	Billiard systems on quadric surfaces and the Poncelet theorem	1989	Shau-Jin Chang Kangjie Shi	3
+	Combinatorial Convexity and Algebraic Geometry	1996	Günter Ewald	3
+	Confocal surfaces and integrable billiards on the sphere and in the Lobachevsky space	1990	А. П. Веселов	3
+ PDF Chat	The analytic continuation of hyperbolic space	2012	Yunhi Cho Hyuk Kim	3
+	SHAPES OF POLYHEDRA, MIXED VOLUMES AND HYPERBOLIC GEOMETRY	2016	François Fillastre Ivan Izmestiev	3
+ PDF Chat	Polyhedral hyperbolic metrics on surfaces	2008	François Fillastre	3