Karim Adiprasito

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All published works

Action	Title	Year	Authors
+ PDF Chat	$p$-anisotropy on the moment curve for homology manifolds and cycles	2025	Karim Adiprasito Kaiying Hou Daishi Kiyohara D. Koizumi Monroe Stephenson
+ PDF Chat	Polyhedral CAT(0) metrics on locally finite complexes	2024	Louis Funar Karim Adiprasito
+ PDF Chat	THE VOLUME INTRINSIC TO A COMMUTATIVE GRADED ALGEBRA	2024	Karim Adiprasito Stavros Argyrios Papadakis Vasiliki Petrotou
+ PDF Chat	Subadditivity of shifts, Eilenberg-Zilber shuffle products and homology of lattices	2024	Karim Adiprasito Joel Hakavuori Minas Margaritis Volkmar Welker
+ PDF Chat	A higher-dimensional version of F\'ary's theorem	2024	Karim Adiprasito Zuzana Patáková
+ PDF Chat	ALL TRIANGULATIONS HAVE A COMMON STELLAR SUBDIVISION	2024	Karim Adiprasito Igor Pak
+	A note on the topology of Minkowski sums and complete intersections	2024	Karim Adiprasito
+	SUBADDITIVITY OF SHIFTS, EILENBERG-ZILBER SHUFFLE PRODUCTS AND COHOMOLOGY OF LATTICES	2023	Karim Adiprasito Joel Hakavuori Minas Margaritis
+	Beyond positivity in Ehrhart Theory	2022	Karim Adiprasito Stavros Argyrios Papadakis Vasiliki Petrotou Johanna Kristina Steinmeyer
+ PDF Chat	The partition complex: an invitation to combinatorial commutative algebra	2021	Karim Adiprasito Geva Yashfe
+	Anisotropy, biased pairings, and the Lefschetz property for pseudomanifolds and cycles	2021	Karim Adiprasito Stavros Argyrios Papadakis Vasiliki Petrotou
+	On the Schmidt and analytic ranks for trilinear forms	2021	Karim Adiprasito David Kazhdan Tamar Ziegler
+	Anisotropy, biased pairings, and the Lefschetz property for pseudomanifolds and cycles	2021	Karim Adiprasito Stavros Argyrios Papadakis Vasiliki Petrotou
+	A complete characterization of $(f_0, f_1)$-pairs of 6-polytopes	2020	Karim Adiprasito Rémi Cocou Avohou
+ PDF Chat	Geometry and the Simplex: Results, Questions and Ideas	2020	Karim Adiprasito
+	A subexponential size $\mathbb{RP}^n$	2020	Karim Adiprasito Sergey Avvakumov Роман Карасев
+	A subexponential size triangulation of $\mathbb{R}P^n$	2020	Karim Adiprasito Sergey Avvakumov Роман Карасев
+ PDF Chat	Theorems of Carathéodory, Helly, and Tverberg Without Dimension	2020	Karim Adiprasito Imre Bárány Nabil H. Mustafa Tamás Terpai
+ PDF Chat	A Cheeger-type exponential bound for the number of triangulated manifolds	2020	Karim Adiprasito Bruno Benedetti
+	Normal crossing immersions, cobordisms and flips	2020	Karim Adiprasito Gaku Liu
+	Sparse handlebody decompositions and non-finiteness of $g_3=0$	2020	Karim Adiprasito Bruno Benedetti
+	A subexponential size triangulation of $\mathbb{R}P^n$	2020	Karim Adiprasito Sergey Avvakumov Роман Карасев
+	The Partition Complex: an invitation to combinatorial commutative algebra	2020	Karim Adiprasito Geva Yashfe
+	A complete characterization of $(f_0, f_1)$-pairs of 6-polytopes	2020	Karim Adiprasito Rémi Cocou Avohou
+	On the realization space of the cube	2019	Karim Adiprasito Daniel Kalmanovich Eran Nevo
+ PDF Chat	Barycentric Subdivisions of Convex Complexes are Collapsible	2019	Karim Adiprasito Bruno Benedetti
+ PDF Chat	Collapsibility of CAT(0) spaces	2019	Karim Adiprasito Bruno Benedetti
+	FAQ on the g-theorem and the hard Lefschetz theorem for face rings	2019	Karim Adiprasito
+ PDF Chat	On Betti numbers of flag complexes with forbidden induced subgraphs	2019	Karim Adiprasito Eran Nevo Martin Tancer
+	Theorems of carathéodory, Helly, and Tverberg without dimension	2019	Karim Adiprasito Imre Bárány Nabil H. Mustafa
+	The Hard Lefschetz Theorem for PL spheres	2019	Karim Adiprasito Johanna K. Steinmeyer
+ PDF Chat	Theorems of Carathéodory, Helly, and Tverberg without dimension	2019	Karim Adiprasito Imre Bárány Nabil H. Mustafa
+	Unstable blueprints can be shared	2019	Karim Adiprasito
+	FAQ on the g-theorem and the hard Lefschetz theorem for face rings	2019	Karim Adiprasito
+	On the realization space of the cube	2019	Karim Adiprasito Daniel Kalmanovich Eran Nevo
+	Combinatorial Lefschetz theorems beyond positivity	2018	Karim Adiprasito
+	Semistable reduction in characteristic 0	2018	Karim Adiprasito Gaku Liu Michael Temkin
+ PDF Chat	Hodge theory for combinatorial geometries	2018	Karim Adiprasito June Huh Eric Katz
+ PDF Chat	Convexity of complements of tropical varieties, and approximations of currents	2018	Karim Adiprasito Farhad Babaee
+	QGLBT for polytopes	2018	Karim Adiprasito Mikhail Burens Eran Nevo
+	Rigidity with few locations	2018	Karim Adiprasito Eran Nevo
+	Log smoothness and polystability over valuation rings	2018	Karim Adiprasito Xue Liu Igor Pak Michael Temkin
+	Combinatorial Lefschetz theorems beyond positivity	2018	Karim Adiprasito
+	Semistable reduction in characteristic 0	2018	Karim Adiprasito Gaku Liu Michael Temkin
+	Theorems of Carathéodory, Helly, and Tverberg without dimension	2018	Karim Adiprasito Imre Bárány Nabil H. Mustafa Tamás Terpai
+	QGLBT for polytopes	2018	Karim Adiprasito Mikhail Burens Eran Nevo
+	Lefschetz and Lower Bound theorems for Minkowski sums	2017	Karim Adiprasito
+ PDF Chat	Face numbers of sequentially Cohen–Macaulay complexes and Betti numbers of componentwise linear ideals	2017	Karim Adiprasito Anders Björner Afshin Goodarzi
+	A Cheeger-type exponential bound for the number of triangulated manifolds	2017	Karim Adiprasito Bruno Benedetti
+	Barycentric subdivisions of convex complexes are collapsible	2017	Karim Adiprasito Bruno Benedetti
+	A note on the simplex-cosimplex problem	2017	Karim Adiprasito
+ PDF Chat	Colorful Simplicial Depth, Minkowski Sums, and Generalized Gale Transforms	2017	Karim Adiprasito Philip Brinkmann Arnau Padrol Pavel Paták Zuzana Patáková Raman Sanyal
+	Toric chordality	2017	Karim Adiprasito
+ PDF Chat	Extremal Examples of Collapsible Complexes and Random Discrete Morse Theory	2017	Karim Adiprasito Bruno Benedetti Frank H. Lutz
+	Lefschetz and Lower Bound theorems for Minkowski sums	2017	Karim Adiprasito
+	A Cheeger-type exponential bound for the number of triangulated manifolds	2017	Karim Adiprasito Bruno Benedetti
+	Barycentric subdivisions of convex complexes are collapsible	2017	Karim Adiprasito Bruno Benedetti
+	Hodge Theory of Matroids	2016	Karim Adiprasito June Huh Eric Katz
+	Colorful simplicial depth, Minkowski sums, and generalized Gale transforms	2016	Karim Adiprasito Philip Brinkmann Arnau Padrol Pavel Paták Zuzana Patáková Raman Sanyal
+	Whitney numbers of arrangements via measure concentration of intrinsic volumes	2016	Karim Adiprasito Raman Sanyal
+ PDF Chat	Subdivisions, shellability, and collapsibility of products	2016	Karim Adiprasito Bruno Benedetti
+ PDF Chat	The universality theorem for neighborly polytopes	2016	Karim Adiprasito Arnau Padrol
+ PDF Chat	A Geometric Lower Bound Theorem	2016	Karim Adiprasito Eran Nevo José Alejandro Samper
+ PDF Chat	Relative Stanley–Reisner theory and Upper Bound Theorems for Minkowski sums	2016	Karim Adiprasito Raman Sanyal
+ PDF Chat	A universality theorem for projectively unique polytopes and a conjecture of Shephard	2016	Karim Adiprasito Arnau Padrol
+	Whitney numbers of arrangements via measure concentration of intrinsic volumes	2016	Karim Adiprasito Raman Sanyal
+	Colorful simplicial depth, Minkowski sums, and generalized Gale transforms	2016	Karim Adiprasito Philip Brinkmann Arnau Padrol Pavel Paták Zuzana Patáková Raman Sanyal
+	Hyperbolicity of contractible manifolds	2015	Karim Adiprasito Louis Funar
+	Higher chordality: From graphs to complexes	2015	Karim Adiprasito Eran Nevo José Alejandro Samper
+	Hodge Theory for Combinatorial Geometries	2015	Karim Adiprasito June Huh Eric Katz
+ PDF Chat	Connectivity of pseudomanifold graphs from an algebraic point of view	2015	Karim Adiprasito Afshin Goodarzi Matteo Varbaro
+ PDF Chat	Derived subdivisions make every PL sphere polytopal	2015	Karim Adiprasito Ivan Izmestiev
+	A Geometric Lower Bound Theorem	2015	Karim Adiprasito Eran Nevo José Alejandro Samper
+	Higher Chordality III: A Geometric Lower Bound Theorem	2015	Karim Adiprasito Eran Nevo José Alejandro Samper
+ PDF Chat	Universality Theorems for Inscribed Polytopes and Delaunay Triangulations	2015	Karim Adiprasito Arnau Padrol Louis Theran
+	Higher chordality II: Toric chordality via the McMullen-Weil Lefschetz Map	2015	Karim Adiprasito
+	Toric chordality	2015	Karim Adiprasito
+	Higher chordality: From graphs to complexes	2015	Karim Adiprasito Eran Nevo José Alejandro Samper
+	Face numbers of sequentially Cohen-Macaulay complexes and Betti numbers of componentwise linear ideals	2015	Karim Adiprasito Anders Björner Afshin Goodarzi
+	A note on boundary manifolds of arrangements	2015	Karim Adiprasito
+	Combinatorial Stratifications and Minimality of Two-Arrangements	2015	Karim Adiprasito
+	Toric chordality	2015	Karim Adiprasito
+	Face numbers of sequentially Cohen-Macaulay complexes and Betti numbers of componentwise linear ideals	2015	Karim Adiprasito Anders Björner Afshin Goodarzi
+	Hodge Theory for Combinatorial Geometries	2015	Karim Adiprasito June Huh Eric Katz
+	Higher chordality: From graphs to complexes	2015	Karim Adiprasito Eran Nevo José Alejandro Samper
+	CAT(0) metrics on contractible manifolds	2015	Karim Adiprasito Louis Funar
+	A Geometric Lower Bound Theorem	2015	Karim Adiprasito Eran Nevo José Alejandro Samper
+	Tight complexes in 3-space admit perfect discrete Morse functions	2014	Karim Adiprasito Bruno Benedetti
+ PDF Chat	An Alexander-type duality for valuations	2014	Karim Adiprasito Raman Sanyal
+	Connectivity of pseudomanifold graphs from an algebraic point of view	2014	Karim Adiprasito Afshin Goodarzi Matteo Varbaro
+ PDF Chat	Combinatorial stratifications and minimality of 2-arrangements	2014	Karim Adiprasito
+	Universality theorems for inscribed polytopes and Delaunay triangulations	2014	Karim Adiprasito Arnau Padrol Louis Theran
+ PDF Chat	The Hirsch Conjecture Holds for Normal Flag Complexes	2014	Karim Adiprasito Bruno Benedetti
+	Relative Stanley-Reisner theory and Upper Bound Theorems for Minkowski sums	2014	Karim Adiprasito Raman Sanyal
+ PDF Chat	Many projectively unique polytopes	2014	Karim Adiprasito Günter M. Ziegler
+	Extremal examples of collapsible complexes and random discrete Morse theory	2014	Karim Adiprasito Bruno Benedetti Frank H. Lutz
+	On the embeddability of contractible complexes	2014	Karim Adiprasito Bruno Benedetti
+	The universality theorem for neighborly polytopes	2014	Karim Adiprasito Arnau Padrol
+	Filtered geometric lattices and Lefschetz Section Theorems over the tropical semiring	2014	Karim Adiprasito Anders Björner
+	Methods from Differential Geometry in Polytope Theory	2014	Karim Adiprasito
+ PDF Chat	Polytopes and $C^1$-convex bodies	2014	Karim Adiprasito José Alejandro Samper
+	Linear embeddings of contractible and collapsible complexes	2014	Karim Adiprasito Bruno Benedetti
+	The Lower Bound Theorem for polytopes that approximate C1-convex bodies	2014	Karim Adiprasito José Alejandro Samper
+	Connectivity of pseudomanifold graphs from an algebraic point of view	2014	Karim Adiprasito Afshin Goodarzi Matteo Varbaro
+	Relative Stanley-Reisner theory and Upper Bound Theorems for Minkowski sums	2014	Karim Adiprasito Raman Sanyal
+	Universality theorems for inscribed polytopes and Delaunay triangulations	2014	Karim Adiprasito Arnau Padrol Louis Theran
+	Extremal examples of collapsible complexes and random discrete Morse theory	2014	Karim Adiprasito Bruno Benedetti Frank H. Lutz
+	The universality theorem for neighborly polytopes	2014	Karim Adiprasito Arnau Padrol
+	Derived subdivisions make every PL sphere polytopal	2013	Karim Adiprasito Ivan Izmestiev
+	The Hirsch conjecture holds for normal flag complexes	2013	Karim Adiprasito Bruno Benedetti
+	A universality theorem for projectively unique polytopes and a conjecture of Shephard	2013	Karim Adiprasito Arnau Padrol
+	Derived subdivisions make every PL sphere polytopal	2013	Karim Adiprasito Ivan Izmestiev
+	A universality theorem for projectively unique polytopes and a conjecture of Shephard	2013	Karim Adiprasito Arnau Padrol
+	The Hirsch conjecture holds for normal flag complexes	2013	Karim Adiprasito Bruno Benedetti
+	Many polytopes with low-dimensional realization space	2012	Karim Adiprasito Günter M. Ziegler
+	Many projectively unique polytopes	2012	Karim Adiprasito Günter M. Ziegler
+	Subdivisions, shellability, and collapsibility of products	2012	Karim Adiprasito Bruno Benedetti
+	Subdivisions, shellability, and the Zeeman conjecture	2012	Karim Adiprasito Bruno Benedetti
+	Tight complexes in 3-space admit perfect discrete Morse functions	2012	Karim Adiprasito Bruno Benedetti
+	Tight complexes in 3-space admit perfect discrete Morse functions	2012	Karim Adiprasito Bruno Benedetti
+	Subdivisions, shellability, and collapsibility of products	2012	Karim Adiprasito Bruno Benedetti
+	Many projectively unique polytopes	2012	Karim Adiprasito Günter M. Ziegler
+ PDF Chat	Infinite curvature on typical convex surfaces	2011	Karim Adiprasito
+	Metric Geometry and Collapsibility	2011	Karim Adiprasito Bruno Benedetti
+	Metric Geometry, Convexity and Collapsibility	2011	Karim Adiprasito Bruno Benedetti
+	Collapsibility of CAT(0) spaces	2011	Karim Adiprasito Bruno Benedetti
+	Metric Geometry, Collapsibility and Collapsibility	2011	Karim Adiprasito Bruno Benedetti
+ PDF Chat	Characterization of Polytopes via Tilings with Similar Pieces	2011	Karim Adiprasito
+	Collapsibility of CAT(0) spaces	2011	Karim Adiprasito Bruno Benedetti
+	Infinite curvature on typical convex surfaces	2010	Karim Adiprasito
+	Characterization of polytopes via tilings with similar pieces	2010	Karim Adiprasito
+	Characterization of polytopes via tilings with similar pieces	2010	Karim Adiprasito
+	Infinite curvature on typical convex surfaces	2010	Karim Adiprasito

Common Coauthors

Coauthor	Papers Together
Bruno Benedetti	28
Eran Nevo	13
Arnau Padrol	12
José Alejandro Samper	9
Raman Sanyal	9
Afshin Goodarzi	6
Stavros Argyrios Papadakis	4
Günter M. Ziegler	4
Vasiliki Petrotou	4
Anders Björner	4
June Huh	4
Imre Bárány	4
Zuzana Patáková	4
Nabil H. Mustafa	4
Eric Katz	3
Ivan Izmestiev	3
Gaku Liu	3
Роман Карасев	3
Louis Funar	3
Sergey Avvakumov	3
Frank H. Lutz	3
Louis Theran	3
Matteo Varbaro	3
Pavel Paták	3
Philip Brinkmann	3
Michael Temkin	3
Tamás Terpai	2
Mikhail Burens	2
Rémi Cocou Avohou	2
Geva Yashfe	2
Daniel Kalmanovich	2
Igor Pak	2
Joel Hakavuori	2
Minas Margaritis	2
Eric Katz	1
Monroe Stephenson	1
David Kazhdan	1
D. Koizumi	1
Volkmar Welker	1
Johanna Kristina Steinmeyer	1
Martin Tancer	1
Tamar Ziegler	1
Kaiying Hou	1
Xue Liu	1
Johanna K. Steinmeyer	1
Farhad Babaee	1
Daishi Kiyohara	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Simplicial Spaces, Nuclei and <i>m</i> -Groups	1939	J. H. C. Whitehead	17
+ PDF Chat	Discrete Morse theory for manifolds with boundary	2012	Bruno Benedetti	15
+	Lectures on Polytopes	1994	Günter M. Ziegler	14
+	Decompositions of Simplicial Complexes Related to Diameters of Convex Polyhedra	1980	J. Scott Provan Louis J. Billera	13
+	Introduction to Piecewise-Linear Topology	1972	Colin Rourke Brian Sanderson	13
+ PDF Chat	On locally constructible spheres and balls	2011	Bruno Benedetti Günter M. Ziegler	12
+	Constructions preserving evasiveness and collapsibility	1999	Volkmar Welker	11
+ PDF Chat	P.L.-Spheres, convex polytopes, and stress	1996	C. W. Lee	11
+	A topological approach to evasiveness	1984	Jeff Kahn Michael Saks Dean Sturtevant	10
+ PDF Chat	On the generalized lower bound conjecture for polytopes and spheres	2013	Satoshi Murai Eran Nevo	10
+	Rigidity and the lower bound theorem 1	1987	Gil Kalai	10
+	A Course in Metric Geometry	2001	Dmitri Burago Yuri Burago S. V. Ivanov	9
+	The number of faces of a simplicial convex polytope	1980	Richard P. Stanley	9
+	On simple polytopes	1993	Peter McMullen	9
+	A USER'S GUIDE TO DISCRETE MORSE THEORY	2002	Robin Forman	8
+ PDF Chat	Sufficiency of McMullen’s conditions for 𝑓-vectors of simplicial polytopes	1980	Louis J. Billera Carl W. Lee	8
+	A generalized lower‐bound conjecture for simplicial polytopes	1971	Peter McMullen David W. Walkup	7
+	Unshellable Triangulations of Spheres	1991	W. B. R. Lickorish	7
+	Combinatorics and Commutative Algebra	1996	Richard P. Stanley	7
+	Collapsing three-dimensional convex polyhedra	1967	D. R. J. Chillingworth	7
+	Metric Geometry, Convexity and Collapsibility	2011	Karim Adiprasito Bruno Benedetti	7
+	NOTES ON NONPOSITIVELY CURVED POLYHEDRA	2004	Michael W. Davis Gábor Moussong	7
+	Problems in low-dimensional topology	1997	Frank Quinn	7
+	Intersection theory on toric varieties	1997	William Fulton Bernd Sturmfels	6
+ PDF Chat	Relative Stanley–Reisner theory and Upper Bound Theorems for Minkowski sums	2016	Karim Adiprasito Raman Sanyal	6
+	�ber Konvexheit im kleinen und im gro�en und �ber gewisse den Punkten einer Menge zugeordnete Dimensionszahlen	1928	Heinrich Tietze	6
+	Non-simplicially collapsible triangulations of <i>I<sup>n</sup></i>	1968	Richard E. Goodrick	6
+	Decompositions of simplicial balls and spheres with knots consisting of few edges	2000	Masahiro Hachimori G x FC nter M. Ziegler	6
+ PDF Chat	A counterexample to the Hirsch Conjecture	2012	Francisco Santos	6
+	The numbers of faces of simplicial polytopes	1971	Peter McMullen	6
+ PDF Chat	Tight Polyhedral Submanifolds and Tight Triangulations	1995	Wolfgang Kühnel	6
+	Subdivisions, shellability, and collapsibility of products	2012	Karim Adiprasito Bruno Benedetti	6
+	Metric Spaces of Non-Positive Curvature	1999	Martin R. Bridson André Haefliger	6
+	Methods from Differential Geometry in Polytope Theory	2014	Karim Adiprasito	6
+ PDF Chat	Realization Spaces of Polytopes	1996	Jürgen Richter-Gebert	6
+	Combinatorial Lefschetz theorems beyond positivity	2018	Karim Adiprasito	6
+	Convex Bodies: The Brunn–Minkowski Theory	1993	Rolf Schneider	6
+ PDF Chat	Subdivisions, shellability, and collapsibility of products	2016	Karim Adiprasito Bruno Benedetti	5
+	The Geometric Topology of 3-Manifolds	1983	R. Bing	5
+ PDF Chat	Smoothing discrete Morse theory	2016	Bruno Benedetti	5
+	On the number of faces of simplicial complexes and the purity of Frobenius	1981	Peter Schenzel	5
+ PDF Chat	Triangulations of the 3-ball with knotted spanning 1-simplexes and collapsible 𝑟th derived subdivisions	1969	W. B. R. Lickorish Joseph Martin	5
+ PDF Chat	Knots in Collapsible and Non-Collapsible Balls	2013	Bruno Benedetti Frank H. Lutz	5
+ PDF Chat	Hodge theory for combinatorial geometries	2018	Karim Adiprasito June Huh Eric Katz	5
+ PDF Chat	Hyperbolization of polyhedra	1991	Michael W. Davis Tadeusz Januszkiewicz	5
+	Tight combinatorial manifolds and graded Betti numbers	2015	Satoshi Murai	5
+	The maximum numbers of faces of a convex polytope	1970	Peter McMullen	5
+	Local convexity in CAT(\kappa)-spaces	2012	Kai‐Uwe Bux Stefan Witzel	5
+ PDF Chat	Hypersurface complements, Milnor fibers and higher homotopy groups of arrangements	2003	Alexandru Dimca Ştefan Papadima	5
+	Combinatorial Commutative Algebra	2005	Ezra Miller Bernd Sturmfels	5