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)
Doctoral advisorHillel Furstenberg
Websitewww.ma.huji.ac.il/~tamarz/

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.

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 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]

Recognition

Ziegler won the Erdős Prize of the Israel Mathematical Union in 2011,[1] 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. She was named MSRI Simons Professor for 2016-2017.[11]

She was elected to the Academia Europaea in 2021.[12]

References

  1. 1 2 2011 Erdos Prize in Mathematics (PDF), Israel Mathematical Union, retrieved 2015-08-02.
  2. ↑ Tamar Ziegler at the Mathematics Genealogy Project
  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. S2CID 119596965.
  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 -norm". Annals of Mathematics. 176 (2): 1231–1372. arXiv:1009.3998. doi:10.4007/annals.2012.176.2.11. MR 2950773. S2CID 119588323.
  6. ↑ Tao, Terence; Ziegler, Tamar (2008). "The primes contain arbitrarily long polynomial progressions". Acta Mathematica. 201 (2): 213–305. arXiv:math/0610050. doi:10.1007/s11511-008-0032-5. MR 2461509. S2CID 119138411.
  7. ↑ Tao, Terence; Ziegler, Tamar (2018). "Polynomial patterns in primes". Forum of Mathematics, Pi. 6. arXiv:1603.07817. doi:10.1017/fmp.2017.3. S2CID 119316066.
  8. ↑ Bergelson, Vitaly; Tao, Terence; Ziegler, Tamar (2010). "An inverse theorem for the uniformity seminorms associated with the action of ". Geom. Funct. Anal. 19 (6): 1539–1596. arXiv:0901.2602. doi:10.1007/s00039-010-0051-1. MR 2594614. S2CID 10875469.
  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. S2CID 16850505.
  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. S2CID 119593656.
  11. ↑ MSRI. "Mathematical Sciences Research Institute". www.msri.org. Retrieved 2021-06-07.
  12. ↑ "Tamar Ziegler". Members. Academia Europaea. Retrieved 2021-12-18.
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