Tamar Debora Ziegler (; born 1971) is an Israeli

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

known for her work in

ergodic theory Ergodic theory (Greek: ' "work", ' "way") is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity. In this context, statistical properties means properties which are expres ...

, combinatorics and

number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777� ...

. She holds the Henry and Manya Noskwith Chair of

Mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...

at the

Einstein Institute of Mathematics The Einstein Institute of Mathematics () is a centre for scientific research in mathematics at the Hebrew University of Jerusalem, founded in 1925 with the opening of the university. A leading research institute, the institute's faculty has in ...

at the

Hebrew University The Hebrew University of Jerusalem (HUJI; he, הַאוּנִיבֶרְסִיטָה הַעִבְרִית בִּירוּשָׁלַיִם) is a public research university based in Jerusalem, Israel. Co-founded by Albert Einstein and Dr. Chaim Weiz ...

Career

Ziegler received her Ph.D. in Mathematics from the

under the supervision of Hillel Furstenberg. Her thesis title was “Non conventional ergodic averages”. She spent five years in the US as a postdoc at the

Ohio State University The Ohio State University, commonly called Ohio State or OSU, is a public land-grant research university in Columbus, Ohio. A member of the University System of Ohio, it has been ranked by major institutional rankings among the best publ ...

, the

Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...

at Princeton, and the

University of Michigan , mottoeng = "Arts, Knowledge, Truth" , former_names = Catholepistemiad, or University of Michigania (1817–1821) , budget = $10.3 billion (2021) , endowment = $17 billion (2021)As o ...

. She was a faculty member at the Technion during the years 2007–2013, and joined the

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 The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. History The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as the ...

, and the Editor in Chief of the

Israel Journal of Mathematics '' Israel Journal of Mathematics'' is a peer-reviewed mathematics journal published by the Hebrew University of Jerusalem (Magnes Press). Founded in 1963, as a continuation of the ''Bulletin of the Research Council of Israel'' (Section F), the jou ...

Research

Ziegler’s research lies in the interface of

with several mathematical fields including

combinatorics Combinatorics is an area of mathematics primarily concerned with counting, both as a means and an end in obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many appl ...

algebraic geometry Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...

and

theoretical computer science Theoretical computer science (TCS) is a subset of general computer science and mathematics that focuses on mathematical aspects of computer science such as the theory of computation, lambda calculus, and type theory. It is difficult to circumsc ...

. One of her major contributions, in joint work with Ben Green and

Terence Tao Terence Chi-Shen Tao (; born 17 July 1975) is an Australian-American mathematician. He is a professor of mathematics at the University of California, Los Angeles (UCLA), where he holds the James and Carol Collins chair. His research includes ...

(and combined with earlier work of theirs), is the resolution of the generalized Hardy–Littlewood conjecture for affine linear systems of finite complexity. Other important contributions include the generalization of the Green-Tao theorem to polynomial patterns, and the proof of the inverse conjecture for the Gowers norms in

finite field In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements. As with any field, a finite field is a set on which the operations of multiplication, addition, subtr ...

geometry.

Recognition

Ziegler won the

Erdős Prize The Anna and Lajos Erdős Prize in Mathematics is a prize given by the Israel Mathematical Union to an Israeli mathematician (in any field of mathematics and computer science), "with preference to candidates up to the age of 40." The prize was e ...

of the Israel Mathematical Union in 2011, and th
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 The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...

. She was named MSRI Simons Professor for 2016-2017. She was elected to the Academia Europaea in 2021.

References

{{DEFAULTSORT:Ziegler, Tamar Year of birth missing (living people) Living people Einstein Institute of Mathematics alumni Technion – Israel Institute of Technology faculty Hebrew University of Jerusalem faculty 21st-century Israeli mathematicians University of Michigan people 21st-century women mathematicians Members of Academia Europaea Erdős Prize recipients