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 AlexFest: 60 Faces of Groups
 Postoctoral Positions with Karim and Other Announcements!
 Jirka
 AviFest, AviStories and Amazing Cash Prizes.
 Polymath 10 post 6: The ErdosRado sunflower conjecture, and the Turan (4,3) problem: homological approaches.
 Polymath 10 Emergency Post 5: The ErdosSzemeredi Sunflower Conjecture is Now Proven.
 Mind Boggling: Following the work of Croot, Lev, and Pach, Jordan Ellenberg settled the cap set problem!
 More Math from Facebook
 The Erdős Szekeres polygon problem – Solved asymptotically by Andrew Suk.
Top Posts & Pages
 A Breakthrough by Maryna Viazovska Leading to the Long Awaited Solutions for the Densest Packing Problem in Dimensions 8 and 24
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 Extremal Combinatorics IV: Shifting
 The Simplex, the Cyclic polytope, the Positroidron, the Amplituhedron, and Beyond
 When It Rains It Pours
 AviFest, AviStories and Amazing Cash Prizes.
 Polymath10: The Erdos Rado Delta System Conjecture
 Impagliazzo's Multiverse
 Believing that the Earth is Round When it Matters
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Category Archives: Guest blogger
Stefan Steinerberger: The Ulam Sequence
This post is authored by Stefan Steinerberger. The Ulam sequence is defined by starting with 1,2 and then repeatedly adding the smallest integer that is (1) larger than the last element and (2) can be written as the sum of two … Continue reading
Ehud Friedgut: Blissful ignorance and the KahnemanTversky paradox
Tversky, Kahneman, and Gili BarHillel (WikiPedia). Taken by Maya BarHillel at Stanford, summer 1979. The following post was kindly contributed by Ehud Friedgut. During the past week I’ve been reading, and greatly enjoying Daniel Kahneman’s brilliant book “Thinking fast … Continue reading
Karim Adiprasito: Flag simplicial complexes and the nonrevisiting path conjecture
This post is authored by Karim Adiprasito The past months have seen some exciting progress on diameter bounds for polytopes and polytopal complexes, both in the negative and in the positive direction. Jesus de Loera and Steve Klee described simplicial polytopes which are not … Continue reading
Posted in Convex polytopes, Guest blogger
Tagged Convex polytopes, Hirsch conjecture, Karim Adiprasito, Flag complexes
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Eyal Sulganik: Towards a Theory of “Mathematical Accounting”
The following post was kindly contributed by Eyal Sulganik from IDC (Interdiciplinary Center) Herzliya. Eyal was motivated by our poll on certainty “beyond a reasonable doubt,” which is related to several issues in accounting. Mathematicians, I believe, are always looking … Continue reading
Günter Ziegler: 1000$ from Beverly Hills for a Math Problem. (IPAM remote blogging.)
Scanned letter by Zadeh. (c) Günter M. Ziegler lefttoright: David Avis, Norman Zadeh, Oliver Friedmann, and Russ Caflish (IPAM director). Photo courtesy Eddie Kim. Update: The slides for Friedmann’s talk are now available. The conference schedule page contains now the slides for … Continue reading
Posted in Computer Science and Optimization, Conferences, Guest blogger
Tagged Linear programming
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János Pach: Guth and Katz’s Solution of Erdős’s Distinct Distances Problem
Click here for the most recent polymath3 research thread. Erdős and Pach celebrating another November day many years ago. The Wolf disguised as Little Red Riding Hood. Pach disguised as another Pach. This post is authored by János Pach A … Continue reading
Posted in Combinatorics, Geometry, Guest blogger, Open problems
Tagged Larry Guth, Nets Hawk Katz
13 Comments
Anat Lotan: Who is Gina II, My Own Shocking Revelation
Who’s Gina? (Part 2): My Own Shocking Revelation By: Anat Lotan It was one of those typically hot Israeli endofAugust days; a scorching summer morning, where you have to convince yourself that the cool breezes of autumn are just around … Continue reading
Michael Schapira: Internet Routing, Distributed Computation, Game Dynamics and Mechanism Design I
This post is authored by Michael Schapira. (It is the first in a series of two posts.) In this post, I’ll outline work on Internet routing and sketch important areas for future work, both on routing itself and, more broadly, on … Continue reading
Posted in Computer Science and Optimization, Economics, Guest blogger
Tagged incentive compatibility, Internet, Routing, Security
4 Comments
Joe Malkevitch: Why Planar Graphs are so Exceptional
Not only do interesting questions arise by considering the special class of planar graphs but additional special issues arise when one considers a specific plane drawing of a planar graph. This is because when a graph is drawn in … Continue reading
Posted in Combinatorics, Guest blogger
6 Comments