Tamar Ziegler - Selected Publications#


Properties of high rank subvarieties of affine spaces. Jointly with D. Kazdhan. Geom. Funct. Anal. 30 (2020), no. 4, 1063–1096.

Polynomial functions as splines. Jointly with D. Kazdhan. Selecta Math. (N.S.) 25 (2019), no. 2, Paper No. 31, 32 pp.

Polynomial patterns in primes. Jointly with Terence Tao. Forum of Mathematics, Pi, 6, E1, (2018).

Approximate Cohomology, with David Kazhdan. Selecta Math. (2017)

Linear equations in primes and dynamics of nilmanifolds. Proceedings of ICM 2014, Volume 2, 569-589.

The inverse conjecture for the Gowers norm over finite fields in low characteristic. Jointly with Terence Tao. Ann. Comb. 16 (2012), 121-188.

The inverse conjecture for the Gowers norms over finite fields via the correspondence principle. Analysis & PDE. 3 (1): 1–20 (2010).

An inverse theorem for the Gowers U^s+1 norm. Jointly with Ben Green and Terence Tao. Annals of Math, Volume 176 (2012), Issue 2, 1231-1372.

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. 2012

An inverse theorem for the uniformity seminorms associated with the action of F_p^∞ . Jointly with Vitaly Bergelson and Terence Tao. Geom. Funct. Anal. 19 (2010), No. 6, 1539-1596.

The primes contain arbitrarily long polynomial progressions. Jointly with Terence Tao . Acta Math. 201 (2008) 213-305.

Universal characteristic factors and Furstenberg averages. J. Amer. Math. Soc. 20 (2007) 53-97.

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