Bogdan Grechuk
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Bogdan Grechuk
21 Mar 2026
Harald Helfgott’s talk on growth, expansion and escape in groups
Bogdan Grechuk
23 Feb 2026
created 23 Feb 2026 10:28
updated 21 Mar 2026 09:35
Assaf Naor’s talk on Sparsest cut
Bogdan Grechuk
2 Feb 2026
created 2 Feb 2026 17:05
updated 2 Feb 2026 17:14
Avi Wigderson’s talk on Expander graphs
Bogdan Grechuk
6 Jan 2026
created 6 Jan 2026 12:15
updated 9 Jan 2026 09:25
Boaz Klartag’s talk on Sphere packing
Favorite theorems
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Bogdan Grechuk
20 Mar 2026
On upper bounds for sphere packings
Bogdan Grechuk
13 Mar 2026
Positive noncommutative polynomials are sums of squares
Bogdan Grechuk
6 Mar 2026
The hot spot conjecture for lip domains
Bogdan Grechuk
27 Feb 2026
The Graph Minors Theorem
Bogdan Grechuk
20 Feb 2026
On the sets of simple sums and products of
integers
Bogdan Grechuk
13 Feb 2026
On the impossibility to beat random assignment in k-SAT
Bogdan Grechuk
6 Feb 2026
created 6 Feb 2026 15:57
updated 6 Feb 2026 15:58
The intersection exponent for planar random walks
Bogdan Grechuk
30 Jan 2026
The proof of Kepler’s conjecture
Bogdan Grechuk
23 Jan 2026
created 23 Jan 2026 18:59
updated 24 Jan 2026 12:45
All braid groups are linear
Bogdan Grechuk
16 Jan 2026
On the zero set of linear recurrences
Bogdan Grechuk
9 Jan 2026
created 9 Jan 2026 10:19
updated 9 Jan 2026 10:20
Cycle decompositions of complete graphs
Bogdan Grechuk
2 Jan 2026
created 2 Jan 2026 10:58
updated 9 Jan 2026 09:06
The Modularity Theorem
Bogdan Grechuk
2 Jan 2026
created 2 Jan 2026 09:42
updated 20 Mar 2026 19:12
My favorite theorems
Recent developments
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Bogdan Grechuk
17 Mar 2026
Viterbo’s volume-capacity conjecture is false
Bogdan Grechuk
15 Mar 2026
On the second eigenvalue of random regular graphs
Bogdan Grechuk
10 Mar 2026
On the existence of good locally testable error-correcting codes
Bogdan Grechuk
8 Mar 2026
On uniform spacing of zeros of orthogonal polynomials
Bogdan Grechuk
5 Mar 2026
On the spectrum of quasi-periodic Schrödinger operator
Bogdan Grechuk
4 Mar 2026
The Gaussian correlation inequality and its generalization
Bogdan Grechuk
2 Mar 2026
Diophantine approximation on manifolds
Bogdan Grechuk
25 Feb 2026
On prime values and prime factors of polynomials
Bogdan Grechuk
19 Feb 2026
created 19 Feb 2026 10:32
updated 19 Feb 2026 10:32
On the Hilbert’s tenth problem in finitely generated rings
Bogdan Grechuk
17 Feb 2026
created 17 Feb 2026 10:03
updated 17 Feb 2026 10:07
A polynomial bound on Reidemeister moves for any fixed link
Bogdan Grechuk
11 Feb 2026
Fast integer factorization on a smaller quantum computer
Bogdan Grechuk
28 Jan 2026
created 28 Jan 2026 09:38
updated 12 Feb 2026 12:36
Short-Interval Pseudorandomness of the Möbius Function
Bogdan Grechuk
26 Jan 2026
On infinite-index subgroups of one-relator groups
Bogdan Grechuk
21 Jan 2026
On the solubility of the negative Pell equation
Bogdan Grechuk
13 Jan 2026
created 13 Jan 2026 15:09
updated 14 Jan 2026 08:51
The hottest and coldest points on a triangle
Bogdan Grechuk
12 Jan 2026
Squaring the circle with Jordan measurable pieces
Bogdan Grechuk
10 Jan 2026
created 10 Jan 2026 10:16
updated 10 Jan 2026 10:56
Exponentially better Ramsey upper bounds
Bogdan Grechuk
8 Jan 2026
created 8 Jan 2026 10:01
updated 10 Jan 2026 08:51
Diophantine approximation on fractal sets
Bogdan Grechuk
7 Jan 2026
The density version of Hindman’s finite sums theorem
Bogdan Grechuk
5 Jan 2026
created 5 Jan 2026 11:18
updated 9 Jan 2026 09:16
The three dimensional Kakeya conjecture is true
Bogdan Grechuk
4 Jan 2026
created 4 Jan 2026 11:44
updated 9 Jan 2026 09:10
The congruent number problem, and Goldfeld’s conjecture
Bogdan Grechuk
3 Jan 2026
Almost all Markoff numbers are composite
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