8,986 reputation
11110194
bio website gilkalai.wordpress.com
location Jerusalem
age 59
visits member for 5 years
seen 2 hours ago
Professor of Mathematics at the Hebrew University of Jerusalem and at Yale University

2d
comment Number of graphs with M edges that does not contain K-clique
I don't see what is wrong with this question.
Sep
27
comment Characterizing faces of 3-dimensional polyhedra. (Related to Victor Eberhard's Theorem [1890]:)
Dear Kundor, as it turned out the question remains open. (I forgot to update.)
Jul
26
comment Stable matchings when switches have costs
Very nice question!!
Jul
9
comment Solutions to the Continuum Hypothesis
Asaf, ok I will delete it.
May
23
comment Examples of graph properties characterized by forbidden (not necessarily induced) subgraphs
In the case of graphs on surfaces we get a finite list of graphs so that a graph which is cannot be embedded must contain a subdivision of a graph from the list.
May
2
comment How to find ICM talks?
Quid, beside ICM and ECM what are other major congresses/conferences with major proceedings that we can ask about? (I could think also of INTERNATIONAL CONGRESS OF MATHEMATICAL PHYSICS (ICMP)), I am worry that a completely open-ended question will not be so useful without careful management.
May
1
comment How to find ICM talks?
I am not sure about asking and answering my own question as you suggested, Quid. If you want to ask this, or a more general question, I will be happy to answer. Meanwhile it can be a nice supplement here.
Apr
30
comment Grassmann-Plücker relations for permanents
Dear Abdelmalek, many thanks for the answer. You wrote "Set theoretic equations (of degree d+1) were discovered by Brill and Gordan." Can you elaborate on these equations?
Apr
29
comment A question about pairs of lines in 3D projective space
Amazing!! Many thanks, David. Very nice result.
Apr
28
comment A question about pairs of lines in 3D projective space
Thanks, David. Yes this is correct. But we can identify the quaternions with 2 dimensional v.s. over the complex so we get 8 choose 4. and then we can save a bit by intersecting with a generic hyperplane and get 7 choose 3. I wonder if Amitsur's theorem is relevant.
Apr
28
comment A question about pairs of lines in 3D projective space
The following MO question is of some relevance mathoverflow.net/questions/65421/…
Apr
24
comment Why was John Nash's 1950 Game Theory paper such a big deal?
Joël, Of course there are also issues with the notion of value for zero-sum 2-person games, like the need to have mixed strategies which is problematic in various cases (and various others issues). Once you apply Von Neumann and Morgenstern utility theory on mixed outcomes you often loose the zero-sum property. But I agree that the notion of a value of zero-sum games is also very important.
Apr
23
comment Why was John Nash's 1950 Game Theory paper such a big deal?
Dear Joël, I agree. To a large extent Nash equilibrium is a miracle concept leading to (almost) all the problems in applied game theory. It often represents genuine problems and shortcomings not only of economics theory but also of economics reality. Certainly this is something we, as mathematicians can celebrate and be enthusiastic about!
Mar
28
comment First PhD in pure math and the second PhD in applied math
I am aware of several such cases. (Prhaps in Israel and Europe there is more flexibility.)
Mar
17
comment Infinitely many primes, and Mobius randomness in sparse sets
Dear Joro, Yes, I think we need to regard it as artificial. Probably Problems 2 and 3 are more "imune" against such examples.
Jan
30
comment Is there an analog of Sperner's lemma for the Hopf invariant?
Lovely question!
Jan
30
comment Logic in mathematics and philosophy
Many thanks Joel, for your answer. As a graet fan (albeit rather ignorant) of both areas (and also of Y. Gurevich) I am certainly happy to hear on stengthening relations between philosophy and set theory/logic.
Jan
19
comment Semi-directed first-passage percolation on $\mathbb{Z}^2$ with deterministic vertical weights
Nice and natural model!
Jan
12
comment Floors of rationals to powers: Infinite number of primes?
Thanks a lot, Lucia and Victor.
Jan
8
comment Mathematical study of Mpemba effect?
I certainly support and encourage questions of this type on MO.