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Mikhail "Mischa" Gershevich Katz (born 1958, in Chișinău )[1] is an Israeli mathematician , a professor of mathematics at Bar-Ilan University . His main interests are differential geometry , geometric topology and mathematics education ; he is the author of the book Systolic Geometry and Topology , which is mainly about systolic geometry . The Katz–Sabourau inequality is named after him and Stéphane Sabourau.[2] [3]
Biography [ edit ]
Mikhail Katz was born in Chișinău in 1958. His mother was Clara Katz (née Landman). In 1976, he moved with his mother to the United States.[4] [5]
Katz earned a bachelor's degree in 1980 from Harvard University .[1] He did his graduate studies at Columbia University , receiving his Ph.D. in 1984 under the joint supervision of Troels Jørgensen and Mikhael Gromov .[6] His thesis title is Jung's Theorem in Complex Projective Geometry.
He moved to Bar-Ilan University in 1999, after previously holding positions at the University of Maryland, College Park , Stony Brook University , Indiana University Bloomington , the Institut des Hautes Études Scientifiques , the University of Rennes 1 , Henri Poincaré University , and Tel Aviv University .[1]
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 , 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 ".[7] Marcel Berger in his article "What is... a Systole?"[8] 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 mathematics education , including work that provides an alternative interpretation of the number 0.999... .[9]
References [ edit ]
^ Chavel, Isaac (2006-04-10). Riemannian Geometry: A Modern Introduction . Cambridge University Press. ISBN 978-1-139-45257-1 .
^ "Clara Katz, a Soviet émigré who saved her ailing granddaughter, dies at 85 – The Boston Globe" . archive.boston.com . Retrieved 2018-01-10 .
^ "Grandmother bucked the Soviet system – Obituaries – smh.com.au" . www.smh.com.au . 12 October 2006. Retrieved 2018-01-10 .
^ Mikhail Katz at the Mathematics Genealogy Project
^ Gromov, Misha : Metric structures for Riemannian and non-Riemannian spaces . Based on the 1981 French original. With appendices by M. Katz, P. Pansu and S. Semmes . Translated from the French by Sean Michael Bates. Progress in Mathematics, 152. Birkhäuser Boston, Inc., Boston, MA, 1999. xx+585 pp. ISBN 0-8176-3898-9
^ Berger, M.: What is... a Systole ? Notices of the AMS 55 (2008), no. 3, 374–376.
^ Stewart, I. (2009) Professor Stewart's Hoard of Mathematical Treasures , Profile Books, p. 174.
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R e t r i e v e d f r o m " https://en.wikipedia.org/w/index.php?title=Mikhail_Katz&oldid=1227672516 "
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a d d i t i o n a l t e r m s m a y a p p l y . B y u s i n g t h i s s i t e , y o u a g r e e t o t h e T e r m s o f U s e a n d P r i v a c y P o l i c y . W i k i p e d i a ® i s a r e g i s t e r e d t r a d e m a r k o f t h e W i k i m e d i a F o u n d a t i o n , I n c . , a n o n - p r o f i t o r g a n i z a t i o n .
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