Mikhail "Mischa" Gershevich Katz (, ; born 1958)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, mathematical structure, structure, space, Mathematica ...

and professor of mathematics at

Bar-Ilan University Bar-Ilan University (BIU, , ''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 academic university institution. It has 20,000 ...

. His main interests are

differential geometry Differential geometry is a Mathematics, mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of Calculus, single variable calculus, vector calculus, lin ...

geometric topology In mathematics, geometric topology is the study of manifolds and Map (mathematics)#Maps as functions, maps between them, particularly embeddings of one manifold into another. History Geometric topology as an area distinct from algebraic topo ...

nonstandard analysis The history of calculus is fraught with philosophical debates about the meaning and logical validity of fluxions or infinitesimal numbers. The standard way to resolve these debates is to define the operations of calculus using (ε, δ)-definitio ...

, 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 method, scholarly research into the transfer of mathematical know ...

; 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 ...

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

Biography

Mikhail Katz was born in

Chișinău Chișinău ( , , ; formerly known as Kishinev) is the Capital city, capital and List of cities and towns in Moldova, largest city of Moldova. The city is Moldova's main industrial and commercial centre, and is located in the middle of the coun ...

in 1958. His mother was Clara Katz (

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

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 university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyma ...

. He did his graduate studies at

Columbia University Columbia University in the City of New York, commonly referred to as Columbia University, is a Private university, private Ivy League research university in New York City. Established in 1754 as King's College on the grounds of Trinity Churc ...

, receiving his Ph.D. in 1984 under the joint supervision of Troels Jørgensen 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 university, public Land-grant university, land-grant research university in College Park, Maryland, United States. Founded in 1856, UMD i ...

Stony Brook University Stony Brook University (SBU), officially the State University of New York at Stony Brook, is a public university, public research university in Stony Brook, New York, United States, on Long Island. Along with the University at Buffalo, it is on ...

Indiana University Bloomington Indiana University Bloomington (IU Bloomington, Indiana University, IU, IUB, or Indiana) is a public university, public research university in Bloomington, Indiana, United States. It is the flagship university, flagship campus of Indiana Univer ...

, 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 (also with a small theoretical biology g ...

, the University of Rennes 1, Henri Poincaré University, and

Tel Aviv University Tel Aviv University (TAU) is a Public university, public research university in Tel Aviv, Israel. With over 30,000 students, it is the largest university in the country. Located in northwest Tel Aviv, the university is the center of teaching and ...

Work

Katz has performed research in systolic geometry in collaboration with Luigi Ambrosio, 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, Geometric and Functional Analysis'', and '' Journal of Differential Geometry''. 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 Katz's 2007 book ''Systolic Geometry and Topology'' 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.

References

External links

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