# Tamar Ziegler

Tamar Debora Ziegler (Hebrew: תמר ציגלר‎; born 1971) is an Israeli mathematician known for her work in ergodic theory, combinatorics and number theory. She holds the Henry and Manya Noskwith Chair of Mathematics at the Einstein Institute of Mathematics at the Hebrew University.

Tamar Ziegler
Ziegler in 2013
CitizenshipIsraeli
Alma materThe Hebrew University
AwardsErdős Prize (2011)[1]
Scientific career
FieldsErgodic theory, Combinatorics, Number theory
InstitutionsHebrew University
Technion
ThesisNonconventional ergodic averages (2003)
Websitewww.ma.huji.ac.il/~tamarz/

## Career

Ziegler received her Ph.D. in Mathematics from the Hebrew University under the supervision of Hillel Furstenberg.[2] Her thesis title was “Non conventional ergodic averages”. She spent five years in the US as a postdoc at the Ohio State University, the Institute for Advanced Study at Princeton, and the University of Michigan. She was a faculty member at the Technion during the years 2007–2013, and joined the Hebrew University in the Fall of 2013 as a full professor.

Ziegler received several awards and honors for her work including the Anna and Lajos Erdős Prize in mathematics in 2011, and the Bruno memorial award in 2015. She was the European Mathematical Society lecturer of the year in 2013, and an invited speaker at the 2014 International Congress of Mathematicians.

Ziegler serves as an editor of several journals. Among others she is an editor of the Journal of the European Mathematical Society (JEMS), an associate editor of the Annals of Mathematics, and the Editor in Chief of the Israel Journal of Mathematics.

## Research

Ziegler’s research lies in the interface of ergodic theory with several mathematical fields including combinatorics, number theory, algebraic geometry and theoretical computer science. One of her major contributions, in joint work with Ben Green and Terence Tao (and combined with earlier work of theirs[3][4]), is the resolution of the generalized Hardy–Littlewood conjecture for affine linear systems of finite complexity.[5]

Other important contributions include the generalization of the Green-Tao theorem to polynomial patterns,[6][7] and the proof of the inverse conjecture for the Gowers norms in finite field geometry.[8][9][10]

## References

1. ^ 2011 Erdos Prize in Mathematics (PDF), Israel Mathematical Union, retrieved 2015-08-02.
2. ^
3. ^ Green, Ben; Tao, Terence (2010). "Linear equations in primes". Annals of Mathematics. 171 (3): 1753–1850. arXiv:math/0606088. doi:10.4007/annals.2010.171.1753. MR 2680398.
4. ^ Green, Ben; Tao, Terence (2012). "The Möbius function is strongly orthogonal to nilsequences". Annals of Mathematics. 175 (2): 541–566. arXiv:0807.1736. doi:10.4007/annals.2012.175.2.3. MR 2877066.
5. ^ Green, Ben; Tao, Terence; Ziegler, Tamar (2012). "An inverse theorem for the Gowers ${\displaystyle U^{s+1}[N]}$ -norm". Annals of Mathematics. 176 (2): 1231–1372. arXiv:1009.3998. doi:10.4007/annals.2012.176.2.11. MR 2950773.
6. ^ Tao, Terence; Ziegler, Tamar (2008). "The primes contain arbitrarily long polynomial progressions". Acta Mathematica. 201 (2): 213–305. arXiv:math.NT/0610050. doi:10.1007/s11511-008-0032-5. MR 2461509.
7. ^ Tao, Terence; Ziegler, Tamar (2018). "Polynomial patterns in primes". Forum of Mathematics, Pi. 6. arXiv:1603.07817. doi:10.1017/fmp.2017.3.
8. ^ Bergelson, Vitaly; Tao, Terence; Ziegler, Tamar (2010). "An inverse theorem for the uniformity seminorms associated with the action of ${\displaystyle \mathbb {F} _{p}^{\infty }}$ ". Geom. Funct. Anal. 19 (6): 1539–1596. arXiv:0901.2602. doi:10.1007/s00039-010-0051-1. MR 2594614.
9. ^ Tao, Terence; Ziegler, Tamar (2010). "The inverse conjecture for the Gowers norms over finite fields via the correspondence principle". Analysis & PDE. 3 (1): 1–20. arXiv:0810.5527. doi:10.2140/apde.2010.3.1. MR 2663409.
10. ^ Tao, Terence; Ziegler, Tamar (2011). "The Inverse conjecture for the Gowers norms over finite fields in low characteristic". Annals of Combinatorics. 16: 121–188. arXiv:1101.1469. Bibcode:2011arXiv1101.1469T. doi:10.1007/s00026-011-0124-3. MR 2948765.