Tamar Ziegler

Ziegler received her Ph.D. in Mathematics from the Hebrew University under the supervision of Hillel Furstenberg.{{mathgenealogy|id=92267}} 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.

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{{cite journal | last1=Green | first1=Ben | last2=Tao | first2=Terence | title=Linear equations in primes | journal=Annals of Mathematics | year=2010 | volume=171 | issue=3 | pages=1753–1850 | mr=2680398 | doi=10.4007/annals.2010.171.1753 | arxiv=math/0606088 | s2cid=119596965 }}{{cite journal | last1=Green | first1=Ben | last2=Tao | first2=Terence | title=The Möbius function is strongly orthogonal to nilsequences | journal=Annals of Mathematics | year=2012 | volume=175 | issue=2 | pages=541–566 | mr=2877066 | doi=10.4007/annals.2012.175.2.3 | arxiv=0807.1736 }}), is the resolution of the generalized Hardy–Littlewood conjecture for affine linear systems of finite complexity.{{cite journal

| doi = 10.4007/annals.2012.176.2.11

| title = An inverse theorem for the Gowers $U^\{s+1\}[N]$-norm

| journal = Annals of Mathematics

| volume = 176

| issue = 2

| pages = 1231–1372

| year = 2012

| last1 = Green | first1 = Ben | author1-link = Ben Green (mathematician)

| last2 = Tao | first2 = Terence | author2-link = Terence Tao

| last3 = Ziegler | first3 = Tamar | author3-link = Tamar Ziegler

| mr = 2950773

| arxiv = 1009.3998

| s2cid = 119588323

}}

Other important contributions include the generalization of the Green-Tao theorem to polynomial patterns,{{cite journal|first1=Terence|last1=Tao|author1-link=Terence Tao|first2=Tamar|last2=Ziegler|author2-link=Tamar Ziegler |title=The primes contain arbitrarily long polynomial progressions|journal=Acta Mathematica|volume=201|year=2008|pages=213–305 |arxiv=math/0610050|doi=10.1007/s11511-008-0032-5|mr=2461509|issue=2|s2cid=119138411 }}{{cite journal|first1=Terence|last1=Tao|author1-link=Terence Tao|first2=Tamar|last2=Ziegler|author2-link=Tamar Ziegler|arxiv=1603.07817 |title=Polynomial patterns in primes|journal=Forum of Mathematics, Pi|volume=6|year=2018 |doi=10.1017/fmp.2017.3|s2cid=119316066 }} and the proof of the inverse conjecture for the Gowers norms in finite field geometry.{{cite journal | last1=Bergelson | first1=Vitaly | last2=Tao | first2=Terence | author2-link = Terence Tao | last3=Ziegler | first3=Tamar | author3-link = Tamar Ziegler | title=An inverse theorem for the uniformity seminorms associated with the action of $\backslash mathbb\{F\}\_p^\backslash infty$ | mr=2594614 | journal=Geom. Funct. Anal. | year=2010 | volume=19 | issue=6 | pages=1539–1596 | doi=10.1007/s00039-010-0051-1| arxiv=0901.2602 | s2cid=10875469 }}{{cite journal | last1=Tao | first1=Terence | author1-link = Terence Tao | last2=Ziegler | first2=Tamar | author2-link = Tamar Ziegler | title=The inverse conjecture for the Gowers norms over finite fields via the correspondence principle | year=2010 | journal=Analysis & PDE | volume=3 | issue=1 | pages=1–20 | doi=10.2140/apde.2010.3.1 | mr=2663409| arxiv=0810.5527 | s2cid=16850505 }}{{cite journal

| doi = 10.1007/s00026-011-0124-3

| title = The Inverse conjecture for the Gowers norms over finite fields in low characteristic

| journal = Annals of Combinatorics

| volume = 16

| pages = 121–188

| year = 2011

| last1 = Tao | first1 = Terence | author1-link = Terence Tao

| last2 = Ziegler | first2 = Tamar | author2-link = Tamar Ziegler

| mr = 2948765

| arxiv = 1101.1469| bibcode = 2011arXiv1101.1469T

| s2cid = 119593656

}}

Ziegler won the Erdős Prize of the Israel Mathematical Union in 2011, and the [http://www.yadhanadiv.org.il/fellowship-prize/michael-bruno-memorial-award 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.{{Cite web|last=MSRI|title=Mathematical Sciences Research Institute|url=http://www.msri.org/|access-date=2021-06-07|website=www.msri.org}}

She was elected to the Academia Europaea in 2021.{{cite web|url=https://www.ae-info.org/ae/Member/Ziegler_Tamar|title=Tamar Ziegler|work=Members|publisher=Academia Europaea|access-date=2021-12-18}}

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Category:Living people

Category:Einstein Institute of Mathematics alumni

Category:Academic staff of Technion – Israel Institute of Technology

Category:Academic staff of the Hebrew University of Jerusalem

Category:21st-century Israeli mathematicians

Category:University of Michigan people

Category:21st-century women mathematicians

Category:Members of Academia Europaea

Category:Erdős Prize recipients