Mikhail "Mischa" Gershevich Katz (born 1958, in

Chișinău Chișinău ( , , ), also known as Kishinev (russian: Кишинёв, r=Kishinjóv ), is the capital and largest city of the Republic of Moldova. The city is Moldova's main industrial and commercial center, and is located in the middle of the ...

)Curriculum vitae
retrieved 2011-05-23. 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 ...

, a professor of mathematics at

Bar-Ilan University Bar-Ilan University (BIU, he, אוניברסיטת בר-אילן, ''Universitat Bar-Ilan'') is a public research university in the Tel Aviv District city of Ramat Gan, Israel. Established in 1955, Bar Ilan is Israel's second-largest academi ...

. His main interests are

differential geometry Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and mult ...

geometric topology In mathematics, geometric topology is the study of manifolds and maps between them, particularly embeddings of one manifold into another. History Geometric topology as an area distinct from algebraic topology may be said to have originate ...

and

mathematics education In contemporary education, mathematics education, known in Europe as the didactics or pedagogy of mathematics – is the practice of teaching, learning and carrying out scholarly research into the transfer of mathematical knowledge. Although re ...

; he is the author of the book ''Systolic Geometry and Topology'', which is mainly about

systolic geometry In mathematics, systolic geometry is the study of systolic invariants of manifolds and polyhedra, as initially conceived by Charles Loewner and developed by Mikhail Gromov, Michael Freedman, Peter Sarnak, Mikhail Katz, Larry Guth, and o ...

. The Katz–Sabourau inequality is named after him and Stéphane Sabourau.

Biography

Mikhail Katz was born in

in 1958. His mother was Clara Katz (

née A birth name is the name of a person given upon birth. The term may be applied to the surname, the given name, or the entire name. Where births are required to be officially registered, the entire name entered onto a birth certificate or birth re ...

Landman). In 1976, he moved with his mother to the United States. Katz earned a bachelor's degree in 1980 from

Harvard University Harvard University is a private Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of highe ...

. He did his graduate studies at

Columbia University Columbia University (also known as Columbia, and officially as Columbia University in the City of New York) is a private research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church in Manhatt ...

, receiving his Ph.D. in 1984 under the joint supervision of

Troels Jørgensen Troels Jørgensen is a Danish mathematician at Columbia University working on hyperbolic geometry and complex analysis, who proved Jørgensen's inequality. He wrote his thesis in 1970 at the University of Copenhagen under the joint supervision o ...

and Mikhael Gromov. His thesis title is ''Jung's Theorem in Complex Projective Geometry.'' He moved to

in 1999, after previously holding positions at the

University of Maryland, College Park The University of Maryland, College Park (University of Maryland, UMD, or simply Maryland) is a public land-grant research university in College Park, Maryland. Founded in 1856, UMD is the flagship institution of the University System of ...

Stony Brook University Stony Brook University (SBU), officially the State University of New York at Stony Brook, is a public research university in Stony Brook, New York. Along with the University at Buffalo, it is one of the State University of New York system' ...

Indiana University Bloomington Indiana University Bloomington (IU Bloomington, Indiana University, IU, or simply Indiana) is a public research university in Bloomington, Indiana. It is the flagship campus of Indiana University and, with over 40,000 students, its largest c ...

, the

Institut des Hautes Études Scientifiques The Institut des hautes études scientifiques (IHÉS; English: Institute of Advanced Scientific Studies) is a French research institute supporting advanced research in mathematics and theoretical physics. It is located in Bures-sur-Yvette, jus ...

, the

University of Rennes 1 The University of Rennes 1 is a public university located in the city of Rennes, France. It is under the Academy of Rennes. It specializes in science, technology, law, economics, management and philosophy. There are currently about students en ...

Henri Poincaré University The Henri Poincaré University, or Nancy 1, nicknamed UHP, was a public research university located in Nancy, France. UHP was merged into University of Lorraine in 2012, and was previously a member of the Nancy-Université federation, belongi ...

, and

Tel Aviv University Tel Aviv University (TAU) ( he, אוּנִיבֶרְסִיטַת תֵּל אָבִיב, ''Universitat Tel Aviv'') is a public research university in Tel Aviv, Israel. With over 30,000 students, it is the largest university in the country. Locate ...

Work

Katz has performed research in systolic geometry in collaboration with

Luigi Ambrosio Luigi Ambrosio (born 27 January 1963) is a professor at Scuola Normale Superiore in Pisa, Italy. His main fields of research are the calculus of variations and geometric measure theory. Biography Ambrosio entered the Scuola Normale Superiore di ...

, Victor Bangert, Mikhail Gromov, Steve Shnider, Shmuel Weinberger, and others. He has authored research publications appearing in journals including ''

Communications on Pure and Applied Mathematics ''Communications on Pure and Applied Mathematics'' is a monthly peer-reviewed scientific journal which is published by John Wiley & Sons on behalf of the Courant Institute of Mathematical Sciences. It covers research originating from or solicited ...

Duke Mathematical Journal ''Duke Mathematical Journal'' is a peer-reviewed mathematics journal published by Duke University Press. It was established in 1935. The founding editors-in-chief were David Widder, Arthur Coble, and Joseph Miller Thomas. The first issue included ...

Geometric and Functional Analysis ''Geometric and Functional Analysis'' (''GAFA'') is a mathematical journal published by Birkhäuser, an independent division of Springer-Verlag. The journal is published approximately bi-monthly. The journal publishes papers on broad range of top ...

'', and ''

Journal of Differential Geometry The ''Journal of Differential Geometry'' is a peer-reviewed scientific journal of mathematics published by International Press on behalf of Lehigh University in 3 volumes of 3 issues each per year. The journal publishes an annual supplement in b ...

''. Along with these papers, Katz was a contributor to the book " Metric Structures for Riemannian and Non-Riemannian Spaces". Marcel Berger in his article "What is... a Systole?" lists the book (Katz, 2007) as one of two books he cites in systolic geometry. More recently Katz also contributed to the study of

including work that provides an alternative interpretation of the number 0.999....Stewart, I. (2009) ''Professor Stewart's Hoard of Mathematical Treasures'', Profile Books, p. 174.

Selected publications

*. *. *. *. *. *. *. *. *. *. *. *. *. *. *. *. With an appendix by J. Solomon. *. *. *. *. *. *. *.

References

External links

Mikhail Katz's home page
* {{DEFAULTSORT:Katz, Mikhail 1958 births Living people 21st-century Israeli mathematicians Israeli mathematicians Differential geometers Harvard University alumni Columbia University alumni University of Maryland, College Park faculty Stony Brook University faculty Indiana University faculty Bar-Ilan University faculty Textbook writers Mathematics educators