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Recent Posts
- My First Paper with Dr. Z. : Bijective and Automated Approaches to Abel Sums
- My Notices AMS Paper on Quantum Computers – Eight Years Later, a Lecture by Dorit Aharonov, and a Toast to Michael Ben-Or
- Arturo Merino, Torsten Mütze, and Namrata Apply Gliders for Hamiltonicty!
- Updates from Cambridge
- Random Circuit Sampling: Fourier Expansion and Statistics
- Plans and Updates: Complementary Pictures
- Updates and Plans IV
- Three Remarkable Quantum Events at the Simons Institute for the Theory of Computing in Berkeley
- Yair Shenfeld and Ramon van Handel Settled (for polytopes) the Equality Cases For The Alexandrov-Fenchel Inequalities
Top Posts & Pages
- My First Paper with Dr. Z. : Bijective and Automated Approaches to Abel Sums
- My Notices AMS Paper on Quantum Computers - Eight Years Later, a Lecture by Dorit Aharonov, and a Toast to Michael Ben-Or
- To Cheer You Up in Difficult Times 15: Yuansi Chen Achieved a Major Breakthrough on Bourgain's Slicing Problem and the Kannan, Lovász and Simonovits Conjecture
- Nostalgia corner: John Riordan's referee report of my first paper
- TYI 30: Expected number of Dice throws
- Updates from Cambridge
- The AC0 Prime Number Conjecture
- Elchanan Mossel's Amazing Dice Paradox (your answers to TYI 30)
- ICM 2022. Kevin Buzzard: The Rise of Formalism in Mathematics
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Tag Archives: Richard Stanley
Richard Stanley: Enumerative and Algebraic Combinatorics in the1960’s and 1970’s
In his comment to the previous post by Igor Pak, Joe Malkevitch referred us to a wonderful paper by Richard Stanley on enumerative and algebraic combinatorics in the 1960’s and 1970’s. See also this post on Richard’s memories regarding the … Continue reading
Cheerful news in difficult times: Richard Stanley wins the Steele Prize for lifetime achievement!
Richard Stanley, a most famous and influential mathematician in my area of combinatorics, the master of finding deep connections between combinatorics and other areas of pure mathematics, and my postdoctoral advisor, has just won the Steele prize for lifetime achievement, … Continue reading
Beyond the g-conjecture – algebraic combinatorics of cellular spaces I
The g-conjecture for spheres is surely the one single conjecture I worked on more than on any other, and also here on the blog we had a sequence of posts about it by Eran Nevo (I,II,III,IV). Here is a great … Continue reading
Posted in Combinatorics, Convex polytopes, Geometry
Tagged Anders Bjorner, Bob MacPherson, Carl Lee, Ed Swartz, Eran Nevo, g-conjecture, Günter Ziegler, Isabella Novik, June Huh, Kalle Karu, Karim Adiprasito, Kazhdan-Lustig polynomials, Lou Billera, Marge Bayer, Peter McMullen, Richard Stanley, Ron Adin, Satoshi Murai, Tom Braden
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Happy Birthday Richard Stanley!
This week we are celebrating in Cambridge MA , and elsewhere in the world, Richard Stanley’s birthday. For the last forty years, Richard has been one of the very few leading mathematicians in the area of combinatorics, and he found deep, profound, and … Continue reading
Richard Stanley: How the Proof of the Upper Bound Theorem (for spheres) was Found
The upper bound theorem asserts that among all d-dimensional polytopes with n vertices, the cyclic polytope maximizes the number of facets (and k-faces for every k). It was proved by McMullen for polytopes in 1970, and by Stanley for general triangulations … Continue reading
(Eran Nevo) The g-Conjecture II: The Commutative Algebra Connection
Richard Stanley This post is authored by Eran Nevo. (It is the second in a series of five posts.) The g-conjecture: the commutative algebra connection Let be a triangulation of a -dimensional sphere. Stanley’s idea was to associate with a ring … Continue reading
(Eran Nevo) The g-Conjecture I
This post is authored by Eran Nevo. (It is the first in a series of five posts.) Peter McMullen The g-conjecture What are the possible face numbers of triangulations of spheres? There is only one zero-dimensional sphere and it consists … Continue reading
Posted in Combinatorics, Convex polytopes, Guest blogger, Open problems
Tagged Carl Lee, Eran Nevo, face rings, g-conjecture, Lou Billera, Peter McMullen, Polytopes, Richard Stanley
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