Tamar Ziegler

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What are the numbers in red ?

  • Infinite partial sumsets in the primes. Terence Tao.
    Journal d'Analyse Mathematique. Preprint available at [arxiv][blog]
  • On rank in algebraic closure. with Amichai Lampert.
    Selecta Mathematica. [arxiv] [ journal ]
  • Relative rank and regularization. with Amichai Lampert.
    Preprint available at [arxiv] [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]
  • 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 SeriesI   II