What are the numbers in
red ?
A dense model theorem for the boolean slice, with Noam Lifshitz,
Dor Minzer, Gil Kalai .
FOCS 2024. Preprint available at [arxiv]
Infinite partial sumsets in the primes, with Terence Tao.
Journal d'Analyse Mathematique. [arxiv][journal][blog][video]
On rank in algebraic closure, with Amichai Lampert.
Selecta Mathematica.
[arxiv]
[ journal ]
Relative rank and regularization, with Amichai Lampert.
Forum of Mathematics, Sigma.
[arxiv][journal]
[video]
On the Schmidt and analytic ranks for trilinear forms, with
Karim Adiprasito,
and David Kazhdan.
Preprint available at [arxiv]
Applications of Algebraic Combinatorics to Algebraic Geometry, with
David Kazhdan.
Indagationes
Mathematicae
[arxiv]
[journal]
Higher uniformity of bounded multiplicative functions in short intervals on average. with
Kaisa Matomaki,
Maksym Radziwill,
Terence Tao,
and Joni Teravainen. Annals of Mathematics
[arxiv][journal][blog]
[video]
On the codimension of the singular locus, with
David Kazhdan.
Preprint available at [arxiv]
Properties of high rank subvarieties of affine spaces, with
David Kazhdan.
GAFA. [arxiv]
[journal]
[video]
Extending weakly polynomial functions from high rank varieties, with
David Kazhdan.
Preprint available at [arxiv]
On ranks of polynomials , with
David Kazhdan.
Algebr. Represent. Theory
[arxiv]
[journal]
Polynomial functions as splines., with
David Kazhdan.
Selecta Mathematica
[arxiv]
[journal]
Extending linear and quadratic functions from high rank varieties., with
David Kazhdan.
Preprint available at [arxiv]
Approximate Cohomology, with
David Kazhdan.
Selecta Mathematica
[arxiv][journal]
[video]
On the bias of cubic polynomials, with
David Kazhdan.
Selecta Mathematica
[arxiv][journal]
Polynomial patterns in the primes , with
Terence Tao.
Forum of Mathematics, Pi.
[arxiv]
[journal]
[blog, video]
Concatenation theorems for anti-Gowers-uniform functions and Host-Kra characteristic factors, with
Terence Tao.
Discrete Analysis.
[arxiv]
[journal]
[blog, video]
Narrow progressions in the primes, with Terence
Tao.
Special issue Analytic Number Theory
in honor of the 60th birthday of Helmut
Maier.
[arxiv]
[journal
[blog][video]
Linear equations in primes and dynamics of nilmanifolds.
Proceedings of ICM 2014.
[arxiv][video]
A multi-dimensional Szemer\'edi theorem for the primes via a
correspondence principle, with Terence
Tao.
Israel Journal of Mathematics.
[arxiv][blog]
Multiple recurrence and convergence results associated to
Fp∞-action, with Vitaly
Bergelson, Terence
Tao.
Journal d'Analyse Mathematique, Volume 127, Issue 1, 329-378, (2015)
[arxiv][blog]
Distjointness of Mobius from horocycle flows, with Jean Bourgain and Peter Sarnak.
From Fourier Analysis and Number Theory to Radon Transforms and Geometry, Developments in Mathematics, Vol. 28.
[journal]
[arxiv][A note on Mobius orthogonality
to nilsequences]
The inverse conjecture for the Gowers norm over finite fields in
low characteristic, with Terence
Tao.
Ann.
Comb. 16 (2012), 121-188.
[arxiv][journal][blog]
An inverse theorem for the Gowers Us+1[N]-norm, with Ben Green, Terence Tao.
Annals of Math, Volume 176 (2012),
Issue 2, 1231-1372. [arxiv][
journal][blog, video]
The shifted primes and the multidimensional Szemeredi and polynomial van der Waerden theorems, with Vitaly Bergelson, Alexander Leibman.
C. R. Math. Acad. Sci. Paris 349 (2011), no. 3-4, 123-125. [arxiv][journal]
An inverse theorem for the Gowers Us+1[N]-norm,
with Ben Green, Terence Tao.
Electronic Research Announcements 18 (2011), 69 - 90. [arxiv][journal]
[blog]
Multiple recurrence and convergence along the primes, with Trevor Wooley.
American Journal of Mathematics 134 (2012), no. 6, 1705-1732. [arxiv][journal][video]
An inverse theorem for the Gowers U4-norm, with Ben Green, Terence Tao.
Glasg. Math. J. 53 (2011), no. 1, 1-50. [arxiv][journal]
An inverse theorem for the uniformity seminorms associated with the action of Fp∞, with Vitaly Bergelson, Terence Tao.
Geom. Funct. Anal. 19 (2010), No. 6, 1539-1596.[arxiv] [journal][blog, video]
The inverse conjecture for the Gowers norm over finite fields via
the correspondence principle, with Terence Tao.
Analysis & PDE Vol. 3 (2010), No. 1, 1-20. [arxiv][journal][blog, video]
The primes contain arbitrarily long polynomial progression, with Terence Tao.
Acta Math. 201 (2008), no. 2, 213--305. [arxiv][journal][blog]
Universal Characteristic Factors and Furstenberg Averages.
J. Amer. Math. Soc. 20 (2007), 53-97. [arxiv][Journal][video]
Nilfactors of Rm-actions and configurations in sets of
positive upper density in Rm.
J. Anal. Math. 99 (2006), 249-266. [arxiv][Journal]
A non-conventional ergodic theorem for a nilsystem.
Ergodic Theory and Dynamical Systems 25 (2005) no. 4 1357-1370. [arxiv][Journal]
Non-conventional ergodic averages.
PhD Thesis. [pdf]
An application of ergodic theory to a problem in geometric Ramsey theory.
Israel Journal of Math. 114 (1999) 271-288. [Journal]
Presentations:
Gauss
arithmetic geometric mean (agm)
EMS Lecture
Series:
I II
