Tamar Ziegler

Tamar Ziegler
תמר ציגלר
Ziegler in 2013
CitizenshipIsraeli
Alma materThe Hebrew University
AwardsErdős Prize (2011)[1]
Bruno Memorial Award (2015)
Alexanderson Award[2](2023)
Roshschild Prize (2024)
Scientific career
FieldsErgodic theory, Combinatorics, Number theory
InstitutionsHebrew University
Technion
Thesis Nonconventional ergodic averages  (2003)
Doctoral advisorHillel Furstenberg
Websitewww.ma.huji.ac.il/~tamarz/

Tamar Debora Ziegler (Hebrew: תמר ציגלר; born 1971) is an Israeli mathematician specializing in Ergodic theory, Additive combinatorics and Number theory. She holds the Henry and Manya Noskwith Chair of Mathematics at the Einstein Institute of Mathematics at the Hebrew University. Ziegler is known for her contributions to the development of higher-order Fourier analysis and for applying methods from dynamical systems to problems in arithmetic combinatorics and number theory.

Career

Ziegler received her Ph.D. in mathematics from the Hebrew University under the supervision of Hillel Furstenberg.[3] 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 served as an editor of several journals. Among others she was 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.

Together with Ben Green and Terence Tao, she developed the framework of higher-order Fourier analysis, which connects the Gowers norms with nilsequences, and is a powerful tool for analyzing arithmetic structures in sets of integers. These ideas led to major breakthroughs in understanding linear equations in primes.[4][5][6]

Other important contributions include the generalization of the Green-Tao theorem to polynomial patterns,[7][8] and the proof of the inverse conjecture for the Gowers norms in finite field geometry.[9][10][11]

Recognition

Ziegler won the Erdős Prize of the Israel Mathematical Union in 2011,[1] the Bruno memorial award in 2015,[12] the Alexanderson Award in 2023, and the Rothschild Prize in 2024.[13] She received European Research Council Consolidator grant in 2016 and European Research Council Advanced grant in 2025.

Ziegler was the European Mathematical Society lecturer of the year in 2013, an invited sectional speaker at the 2014 International Congress of Mathematicians, an invited plenary speaker at the 2024 European Congress of Mathematics, and an invited plenary speaker at the 2026 International Congress of Mathematicians.[14]

Ziegler was named MSRI Simons Professor for 2016–2017.[15] She was a Distinguished Visiting Professor at the Institute for Advanced Study in 2022-23 leading the special year on Dynamics, Additive Number Theory and Algebraic Geometry][16]

Ziegler was elected to the Academia Europaea in 2021.[17]

References

  1. ^ a b 2011 Erdos Prize in Mathematics (PDF), Israel Mathematical Union, archived from the original (PDF) on 2015-12-17, retrieved 2015-08-02.
  2. ^ "Alexanderson Award 2023". American Institute of Mathematics. Retrieved 2024-10-07.
  3. ^ Tamar Ziegler at the Mathematics Genealogy Project
  4. ^ 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.
  5. ^ 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.
  6. ^ 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.
  7. ^ 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.
  8. ^ Tao, Terence; Ziegler, Tamar (2018). "Polynomial patterns in primes". Forum of Mathematics, Pi. 6 e1. arXiv:1603.07817. doi:10.1017/fmp.2017.3. S2CID 119316066.
  9. ^ 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.
  10. ^ 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.
  11. ^ 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.
  12. ^ "About the Bruno Award — Michael Bruno Memorial Award". IIAS. Retrieved 13 October 2025.
  13. ^ "The Rothschild Prize — Yad Hanadiv". Yad Hanadiv. Retrieved 13 October 2025.
  14. ^ "Speakers — ICM 2026". ICM 2026. Retrieved 13 October 2025.
  15. ^ MSRI. "Mathematical Sciences Research Institute". www.msri.org. Retrieved 2021-06-07.
  16. ^ "Special Year on Dynamics, Additive Number Theory and Algebraic Geometry — Institute for Advanced Study". IAS (School of Mathematics). 5 January 2021. Retrieved 13 October 2025.
  17. ^ "Tamar Ziegler". Members. Academia Europaea. Retrieved 2021-12-18.
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