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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