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Israeli mathematician and computer scientist
Gil Kalai (Hebrew: גיל קלעי; born 1955) is an Israeli mathematician and computer scientist. He is the Henry and Manya Noskwith Professor Emeritus of Mathematics
Gil_Kalai
Mathematical proposition
of graph theory and statistical mechanics, proposed by Jeff Kahn and Gil Kalai in 2006. It was proven in a paper published in 2024. This conjecture concerns
Kahn–Kalai_conjecture
Maths conjecture
polytope theory, Kalai's 3d conjecture is a conjecture on the polyhedral combinatorics of centrally symmetric polytopes, made by Gil Kalai in 1989. It states
Kalai's_3^d_conjecture
statement about Boolean functions originally conjectured by Ehud Friedgut and Gil Kalai in 1996. For a function f : { − 1 , 1 } n → { − 1 , 1 } , {\displaystyle
Entropy_influence_conjecture
Purported set of secret messages encoded within the Hebrew text of the Torah
mathematician Brendan McKay, Israeli mathematicians Dror Bar-Natan and Gil Kalai, and Israeli psychologist Maya Bar-Hillel (collectively known as "MBBK")
Bible_code
Israeli mathematician
Bar-Hillel and Eli Shamir. Notable students of Perles include Noga Alon, Gil Kalai, and Nati Linial. Faculty profile, Hebrew University, retrieved 2013-12-12
Micha_Perles
Name list
Tauman Kalai, American computer scientist Biswajit Kalai, Indian politician Ehud Kalai, prominent American game theorist and mathematical economist Gil Kalai
Kalai_(surname)
Israeli mathematician
the Hebrew University of Jerusalem in 1999, under the supervision of Gil Kalai. Her doctoral dissertation, Face Numbers of Polytopes and Manifolds, won
Isabella_Novik
Israeli psychologist (born 1943)
stereotyping can block human problem-solving, and worked with Dror Bar-Natan, Gil Kalai, and Brendan McKay to debunk the Bible code. Bar-Hillel studied psychology
Maya_Bar-Hillel
Computer hardware technology that uses quantum mechanics
P=NP. Kalai, Gil (May 2016). "The Quantum Computer Puzzle" (PDF). Notices of the AMS. 63 (5): 508–516. Rinott, Yosef; Shoham, Tomer; Kalai, Gil (13 July
Quantum_computing
Mathematics question and answer website
has become a universal clearinghouse for math questions". According to Gil Kalai, MathOverflow "is ran [sic] by an energetic and impressive group of very
MathOverflow
American mathematician
notation. Hamkins is the top-rated user by reputation score on MathOverflow. Gil Kalai describes him as "one of those distinguished mathematicians whose arrays
Joel_David_Hamkins
Network of Q&A sites based in New York City
Eremenko Joel David Hamkins (top user on MathOverflow) James E. Humphreys Gil Kalai Anna Krylov Greg Kuperberg Tim Peters (software engineer) (inventor of
Stack_Exchange
Jin Bill Johnson Bernardo Uribe Jongbloed Michael I. Jordan Gil Kalai Yael Tauman Kalai Noureddine El Karoui Rinat Kashaev Fanny Kassel Neeraj Kayal
List of International Congresses of Mathematicians Plenary and Invited Speakers
List_of_International_Congresses_of_Mathematicians_Plenary_and_Invited_Speakers
Can every bounded subset of Rn be partitioned into (n+1) smaller diameter sets?
Dekster (1995). The problem was finally solved in 1993 by Jeff Kahn and Gil Kalai, who showed that the general answer to Borsuk's question is no. They claim
Borsuk's_conjecture
Quantum error correction schemes can suppress the logical error rate arbitrarily low
doi:10.1038/nature23460. ISSN 0028-0836. PMID 28905902. S2CID 4446310. Gil Kalai. "Perpetual Motion of The 21st Century?". Scott Aaronson. "PHYS771 Lecture
Threshold_theorem
(that is, a simplicial sphere that is not the boundary of a polytope). Gil Kalai proved that, in fact, "most" simplicial spheres are non-polytopal. The
Simplicial_sphere
Australian mathematician (born 1951)
known for leading a team, consisting of mathematicians Dror Bar-Natan and Gil Kalai and psychologist Maya Bar-Hillel, that rebutted a Bible code theory advanced
Brendan_McKay_(mathematician)
Mathematical problem
non-4-colourable unit-distance graph. The proof is computer assisted. Mathematician Gil Kalai and computer scientist Scott Aaronson posted discussion of de Grey's finding
Hadwiger–Nelson_problem
American mathematician
the bundle theorem for ovoidal Möbius planes. In 1993, together with Gil Kalai, he disproved Borsuk's conjecture. In 1996, he was awarded the Pólya Prize
Jeff_Kahn_(mathematician)
Award for advancements in discrete mathematics
of piecewise-polynomial function spaces over triangulations of space. Gil Kalai for making progress on the Hirsch conjecture by proving subexponential
Fulkerson_Prize
Israeli mathematician (born 1966)
Media Limited. Retrieved 27 June 2021. Bar-Natan, D with Brendan McKay, Gil Kalai and Maya Bar-Hillel; Statistical Science 14-2 (1999) 150-173. "Bar-Natan"
Dror_Bar-Natan
Hungarian mathematician (born 1948)
lattices and reducing their bases. The LLL algorithm has been described by Gil Kalai as "one of the fundamental algorithms" and has been used in several practical
László_Lovász
Academic journal
mathematics Language English Edited by Ernie Croot, Ben Green, Timothy Gowers, Gil Kalai, Nets Hawk Katz, Bryna Kra, Izabella Łaba, Tom Sanders, József Solymosi
Discrete_Analysis
Award
(1985) Yosef Yomdin (1987) Noga Alon (1989) Alexander Lubotzky (1990) Gil Kalai (1992) Ehud Hrushovski (1994) Oded Schramm (1996) Leonid Polterovich (1998)
Erdős_Prize
Problem in discrete geometry
of Erdős’s Distinct Distances Problem, a guest post by János Pach on Gil Kalai's blog Erdős, Paul (1996). "On some of my favourite theorems". Combinatorics
Erdős distinct distances problem
Erdős_distinct_distances_problem
Upper bound on intersecting set families
More unsolved problems in mathematics An unproven conjecture, posed by Gil Kalai and Karen Meagher, concerns another analog for the family of triangulations
Erdős–Ko–Rado_theorem
Academic journal
Contents Two articles published in Discrete & Computational Geometry, one by Gil Kalai in 1992 with a proof of a subexponential upper bound on the diameter of
Discrete & Computational Geometry
Discrete_&_Computational_Geometry
Irgun and Lehi leader
Woolf's Flush: A Biography. Kalai was married to painter and sculptor Carmela Kalai. His son is noted academic Gil Kalai. Kalai died in 1979, and was buried
Hanoch_Kalai
Helen Joyce Matti Jutila Richard Kadison Jean-Pierre Kahane Jeff Kahn Gil Kalai Olav Kallenberg László Kalmár Akihiro Kanamori Ravindran Kannan Kao Cheng-yan
List of people by Erdős number
List_of_people_by_Erdős_number
Overview of and topical guide to combinatorics
Philippe Flajolet Solomon Golomb Ron Graham Ben Green Tim Gowers Jeff Kahn Gil Kalai Gyula O. H. Katona Daniel J. Kleitman Imre Leader László Lovász Fedor
Outline_of_combinatorics
mathematician and astrophysicist Margarete Kahn (1880–1942?), topology Gil Kalai (born 1955), mathematician; Pólya Prize (1992), Erdős Prize (1992) László
List_of_Jewish_mathematicians
N-dimensional polytope with vertices adjacent to N facets
conjecture was proven in 1987 by Roswitha Blind and Peter Mani-Levitska. Gil Kalai shortly after provided a simpler proof of this result based on the theory
Simple_polytope
Israeli mathematician
science in 1986 and his master's degree in 1987, under the supervision of Gil Kalai. He then received his PhD from Princeton University in 1990 under the
Oded_Schramm
This was first proven by Blind & Mani. Later, a short proof was given by Gil Kalai using unique sink orientations. The combinatorics of a zonotope can be
Graph_of_a_polytope
László Lovász 1983 Anders Björner and Paul Seymour 1987 Andrew Yao 1992 Gil Kalai and Saharon Shelah 1994 Gregory Chudnovsky and Harry Kesten 1996 Jeff
George_Pólya_Prize
Yugoslav American mathematician (1929-2018)
expository article Venn diagrams and independent families of sets. In 2004, Gil Kalai and Victor Klee edited a special issue of Discrete and Computational Geometry
Branko_Grünbaum
Israeli American mathematician
Volume 38, Issue 3, pp 665-708 doi:10.1007/s00493-016-3238-8 Dice Paradox, Gil Kalai, retrieved 2025-04-14 MAFIA: A THEORETICAL STUDY OF PLAYERS AND COALITIONS
Elchanan_Mossel
British mathematician
lengths modulo k, which leads to the resolutions of two conjectures of Gil Kalai and Roy Meshulam connecting the chromatic number of a graph with the homology
Paul_Seymour_(mathematician)
are disjoint or if they share only one vertex. It is an old problem of Gil Kalai and others to decide whether the largest number of almost disjoint triangles
Topological_graph
Israeli scientific research center
Prize (2006), Abel Prize (2020) Sergiu Hart (1949– ); Israel Prize (2018) Gil Kalai (1955– ) Yitzhak Katznelson (1934– ); Steele Prize (2002) David Kazhdan
Einstein Institute of Mathematics
Einstein_Institute_of_Mathematics
American mathematician (born 1983)
Archived from the original on July 5, 2022. Retrieved July 5, 2022. Kalai, Gil (July 2022). "The Work of June Huh" (PDF). Proceedings of the International
June_Huh
Open problem in probability theory
called the "Dying percolation conjecture", a name used by mathematician Gil Kalai. The name evokes the intuition that the cluster at origin "just barely"
Dying_percolation_conjecture
German mathematician
Archived from the original on 20 August 2016. Retrieved 19 September 2015. Kalai, Gil (14 August 2015). "Combinatorics and more". Dunne, Edward (20 October
Karim_Adiprasito
Israeli-American mathematician (born 1944)
vol. 37, 1984, pp. 19–37. doi:10.1002/cpa.3160370104 with Noga Alon and Gil Kalai: "Regular subgraphs of almost regular graphs", Journal of Combinatorial
Shmuel_Friedland
Study of Boolean functions via discrete Fourier analysis
1210. doi:10.1007/s00039-013-0229-4. S2CID 15933352. Friedgut, Ehud; Kalai, Gil; Naor, Assaf (2002). "Boolean functions whose Fourier transform is concentrated
Analysis_of_Boolean_functions
Combinitorics of Polyhedra
Ziegler, Günter M. (2000), "A census of flag-vectors of 4-polytopes", in Kalai, Gil; Ziegler, Günter M. (eds.), Polytopes — Combinatorics and Computation
Polyhedral_combinatorics
Mathematical theorem first conjectured by Ronald Read
a Fields Medal". Quanta Magazine. 5 July 2022. Retrieved 5 July 2022. Kalai, Gil (July 2022). "The Work of June Huh" (PDF). Proceedings of the International
Read's_conjecture
On lengths of shortest paths in convex polytopes
University Press, 1998. Kalai, Gil (10 May 2010). "Francisco Santos Disproves the Hirsch Conjecture". Retrieved 11 May 2010. Kalai, Gil; Kleitman, Daniel J
Hirsch_conjecture
1981 Filipino fantasy film
Rustia as Kalai Jimmy Santos as Tuktok Yasmin Ayesa as Sibul Greg Lozano as Ulaya Johnny Vicar as Suhay Angelo Ventura as Pulo Joey Romero as Luok Gil Arceo
Kamakalawa
4007/annals.2019.189.2.4. MR 3919363. S2CID 119158401. Zbl 1407.05236.. Kalai, Gil (May 22, 2015), "Choongbum Lee proved the Burr–Erdős conjecture", Combinatorics
List of conjectures by Paul Erdős
List_of_conjectures_by_Paul_Erdős
Turkish professor (born 1958)
Electrical and Electronics Engineers. 2010.[non-primary source needed] Kalai, Gil (25 November 2010). "Emmanuel Abbe: Erdal Arıkan's Polar Codes". Combinatorics
Erdal_Arıkan
Three raised to an integer power
June 14–July 2, 1982, London: Academic Press, pp. 85–122, MR 0782310 Kalai, Gil (1989), "The number of faces of centrally-symmetric polytopes", Graphs
Power_of_three
1997 book by Michael Drosnin
Difference. CRC Press. McKay, Brendan; Bar-Natan, Dror; Bar-Hillel, Maya; Kalai, Gil (May 1999). "Solving the Bible Code Puzzle". Statistical Science. 14 (2):
The_Bible_Code_(book)
Computational benchmark
Supremacy Claim". Quanta Magazine. 23 October 2019. Retrieved 2020-10-29. Kalai, Gil (2011-06-02). "How Quantum Computers Fail: Quantum Codes, Correlations
Quantum_supremacy
Israeli mathematician
BKS1. Benjamini, Itai; Kalai, Gil; Schramm, Oded (1999), "Noise sensitivity of Boolean functions and applications to percolation", Publications Mathématiques
Itai_Benjamini
Conjecture in graph theory
Product Graphs: Structure and Recognition, Wiley, ISBN 0-471-37039-8. Kalai, Gil (May 10, 2019), "A sensation in the morning news – Yaroslav Shitov: Counterexamples
Hedetniemi's_conjecture
Theorem about the intersections of d-dimensional convex sets
on intersection of sets Helly Family Danzer, Grünbaum & Klee (1963). Kalai, Gil (2019-03-15), "News on Fractional Helly, Colorful Helly, and Radon", Combinatorics
Helly's_theorem
and Geometry. 2 (3): 428–443. doi:10.1137/17M1131970. ISSN 2470-6566. Kalai, Gil (10 May 2019). "A sensation in the morning news – Yaroslav Shitov: Counterexamples
List_of_conjectures
Conjecture about coloring graphs
pp. 345–371, doi:10.1007/978-3-642-60408-9_26, ISBN 978-3-642-60408-9 Kalai, Gil (January 14, 2021), "To cheer you up in difficult times 17: Amazing! The
Erdős–Faber–Lovász_conjecture
21 (2): 199–209, doi:10.1007/s004930100018, MR 1832445, S2CID 485716 Kalai, Gil (May 22, 2015), "Choongbum Lee proved the Burr-Erdős conjecture", Combinatorics
Burr–Erdős_conjecture
Spanish mathematician
contraejemplo que refuta la conjetura de Hirsch", Gaussianos, May 24, 2010 Kalai, Gil (10 May 2010), "Francisco Santos Disproves the Hirsch Conjecture", Combinatorics
Francisco_Santos_Leal
Mathematics reference book (2008)
110–112, doi:10.1016/j.hm.2009.08.001. Birch, Bryan; Donaldson, Simon; Kalai, Gil; Kenyon, Richard; Macintyre, Angus (2009), "The Princeton companion to
The Princeton Companion to Mathematics
The_Princeton_Companion_to_Mathematics
Geometrical body
^{n})} . Campi, Colesanti & Gronchi 1996. Hilbert & Cohn-Vossen 1952. Kalai, Gil (2015-05-19). "Some old and new problems in combinatorial geometry I:
Surface_of_constant_width
American mathematician (born 1934)
55 (1): 227–232. doi:10.1090/s0002-9939-1976-0414380-0. MR 0414380. Kalai, Gil; Kleitman, Daniel J. (1992). "A quasi-polynomial bound for the diameter
Daniel_Kleitman
(4): 1047–1053. arXiv:1604.08657. doi:10.1090/jams/869. S2CID 15732134. Kalai, Gil (1989). "The number of faces of centrally-symmetric polytopes". Graphs
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Geometry, 41 (2): 249–256, doi:10.1007/s00454-008-9121-7, MR 2471873. Kalai, Gil (1988), "A simple way to tell a simple polytope from its graph", Journal
Unique_sink_orientation
Points with no three in a line
Tame Wild 'Sunflower' Problem". Quanta Magazine. Retrieved 2019-10-22. Kalai, Gil (May 17, 2016), "Polymath 10 Emergency Post 5: The Erdos-Szemeredi Sunflower
Cap_set
Convex hull of a finite set of points in a Euclidean space
(2–3): 287–297, doi:10.1007/BF01830678, MR 0921106, S2CID 120222616. Kalai, Gil (1988), "A simple way to tell a simple polytope from its graph", Journal
Convex_polytope
Notion in combinatorics
Combinatorics, 18 (1): 59–73, doi:10.1007/s003730200003, MR 1892434. Kalai, Gil (September 28, 2008), "Extremal Combinatorics III: Some Basic Theorems"
Sauer–Shelah_lemma
German mathematician and politician
Mathematicae, 34 (2–3): 287–297, doi:10.1007/BF01830678, MR 0921106. Kalai, Gil (1995), "Combinatorics and convexity" (PDF), Proceedings of the International
Roswitha_Blind
company owner and candidate for this district in 2022 and 2024 Alexander Kalai, CFO of Amerapex Erin Montgomery, funeral director Alexander Hale Newspapers
2026 United States House of Representatives elections in Texas
2026_United_States_House_of_Representatives_elections_in_Texas
Progression-free set of numbers
Roth's theorem on arithmetic progressions, arXiv:2007.03528; see also Kalai, Gil (July 8, 2020), "To cheer you up in difficult times 7: Bloom and Sisask
Salem–Spencer_set
Subexponential bound in computational complexity
pp. 14:1–14:12, doi:10.4230/LIPICS.ESA.2022.14, ISBN 978-3-95977-247-1 Kalai, Gil; Kleitman, Daniel J. (1992), "A quasi-polynomial bound for the diameter
Quasi-polynomial_growth
hypercube generalizes to the number of faces of a Hanner polytope; see Kalai, Gil (1989), "The number of faces of centrally-symmetric polytopes", Graphs
Signed_set
Collection of sets in which every two sets have the same intersection
American Mathematical Society. 56: 29–64. doi:10.1090/bull/1648. MR 3886143. Kalai, Gil (May 17, 2016). "Polymath 10 Emergency Post 5: The Erdos-Szemeredi Sunflower
Sunflower_(mathematics)
Mathematics, 35 (3): 236–238, doi:10.1016/0001-8708(80)90050-X, MR 0563925. Kalai, Gil (2018-12-25). "Amazing: Karim Adiprasito proved the g-conjecture for spheres
H-vector
Convex polytope constructed recursively
Department of Mathematical Sciences, Chalmers Institute of Technology. Kalai, Gil (1989), "The number of faces of centrally-symmetric polytopes", Graphs
Hanner_polytope
Worst Alien Movies". The Hollywood Reporter. Retrieved 2016-11-02. Jawets, Gil (April 8, 2002). "2001: A Space Travesty". DVD Talk. Retrieved 2016-11-24
List of films featuring extraterrestrials
List_of_films_featuring_extraterrestrials
Romanian-American mathematician
Mathematics, 28 (3–4): 280–281, doi:10.1006/aama.2001.0783, MR 1899995. Kalai, Gil (January 7, 2000), Rodica Simion: Immigrant Complex, Combinatorics and
Rodica_Simion
Economics, and current president of the Alfred P. Sloan Foundation Ehud Kalai (M.S. 1971, Ph.D. 1972) – game theorist, mathematical economist, James J
List of Cornell University alumni
List_of_Cornell_University_alumni
Jerusalem Assassinated by the Irgun under orders from its commander, Hanoch Kalai 28 May 1948 Thomas C. Wasson, US Consul General in Jerusalem Shot by a sniper
List of assassinations in Asia
List_of_assassinations_in_Asia
Block design in combinatorial mathematics
Dilemma Solved, Minus Designs". Quanta Magazine. Retrieved 2015-06-27. Kalai, Gil. "Designs exist!" (PDF). Séminaire Bourbaki. Colbourn & Dinitz 2007, pg
Steiner_system
Software for the algorithmic treatment of convex polyhedra
fies. Official Website Gawrilow, Ewgenij; Joswig, Michael (2000-01-01). Kalai, Gil; Ziegler, Günter M. (eds.). polymake: a Framework for Analyzing Convex
Polymake
author and editor of The Tower Magazine Daniel Kahneman, Nobel laureate Ehud Kalai, Israeli-born American game theorist and mathematical economist, and James
List_of_Israeli_Americans
City in Israel
(born 1977), athlete Sharren Haskel (born 1984), Member of Knesset Hanoch Kalai, Irgun cofounder and Commander in Chief, Lehi cofounder Moti Kirschenbaum
Kfar_Saba
Theoretical object in mathematics
Borger (2009). Connes & Consani (2010). Connes, Consani & Marcolli (2009) Kalai, Gil (10 January 2018), "Subhash Khot, Dor Minzer and Muli Safra proved the
Field_with_one_element
implementation of the reverse search vertex enumeration algorithm", in Kalai, Gil; Ziegler, Günter M. (eds.), Polytopes—combinatorics and computation: Including
Reverse-search_algorithm
Swedish mathematician
near Hanner polytopes, arXiv:1212.2544, Bibcode:2012arXiv1212.2544K. Kalai, Gil (1989), "The number of faces of centrally-symmetric polytopes", Graphs
Olof_Hanner
and Meronym in Cloud Atlas (2012) P. Bhanumathi as Vaani and Valli in Kalai Arasi (1963) Craig Bierko as John Ferguson, Douglas Hall, and David in The
List of actors who have played multiple roles in the same film
List_of_actors_who_have_played_multiple_roles_in_the_same_film
and Euryalus Orestes and Pylades Orpheus and the Thracians Orpheus and Kalais Pan and Daphnis Paris and Antheus Polyphemus and Silenus Poseidon and Nerites
LGBTQ_themes_in_mythology
Subgraph with contracted edges
20–29, doi:10.1016/j.jctb.2008.03.006, MR 2467815. Chudnovsky, Maria; Kalai, Gil; Nevo, Eran; Novik, Isabella; Seymour, Paul (2016), "Bipartite minors"
Graph_minor
Blackorby Henry Farber Milton Harris Fumio Hayashi Paul L. Joskow Ehud Kalai Edward Lazear Ariél Pakes James Michael Poterba Alan A. Powell Peter Schmidt
List of fellows of the Econometric Society
List_of_fellows_of_the_Econometric_Society
Generalizations in graph theory
(1): 1–4. doi:10.1007/s004930170001. ISSN 1439-6912. S2CID 13307018. Kalai, Gil (2012-11-25). "Happy Birthday Ron Aharoni!". Combinatorics and more. Retrieved
Hall-type theorems for hypergraphs
Hall-type_theorems_for_hypergraphs
(1): 37–50, doi:10.1007/s00453-007-0175-3, MR 2344393, S2CID 8183965. Kalai, Gil (1992), "A subexponential randomized simplex algorithm", Proc. 24th ACM
LP-type_problem
Deviations from local realism
Bibcode:2020Natur.577..461C. doi:10.1038/d41586-020-00120-6. PMID 31965099. Kalai, Gil (2020-01-17). "Amazing: Zhengfeng Ji, Anand Natarajan, Thomas Vidick,
Quantum_nonlocality
original on January 25, 2025. Retrieved April 17, 2025. White, Abbey; Chik, Kalai (June 15, 2021). "TV animators were forced to scrap LGBTQ-inclusive storylines
List of gay characters in animation
List_of_gay_characters_in_animation
Graph-theoretic description of polyhedra
34 (2–3): 287–297, doi:10.1007/BF01830678, MR 0921106, S2CID 120222616 Kalai, Gil (1988), "A simple way to tell a simple polytope from its graph", Journal
Steinitz's_theorem
Annual US media awards ceremony
Desiderio, Jess Chou, A.C. Fowler, Kuwilileni Hauwanga, Abbey White, and Kalai Chik (Insider) "Legendary" [series] by Peppermint, Matt McDonough, Jennifer
33rd_GLAAD_Media_Awards
International gymnastics competition series
Shatilov Filip Ude Pommel horse Donna-Donny Truyens Sašo Bertoncelj Zoltan Kalai Andrey Perevoznikov Rings Konstantin Pluzhnikov Irodotos Georgallas Regulo
2009 FIG Artistic Gymnastics World Cup series
2009_FIG_Artistic_Gymnastics_World_Cup_series
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