Mikhail Katz | |
|---|---|
מיכאיל כץ | |
| Born | 1958 (age 66–67) |
| Nationality | Israeli |
| Education | Harvard University (BA) Columbia University (PhD) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | Bar-Ilan University |
| Thesis | Jung's Theorem in Complex Projective Geometry |
| Doctoral advisor | Troels Jørgensen Mikhail Gromov |
| Website | http://u.cs.biu.ac.il/~katzmik/ |
Mikhail "Mischa"Gershevich Katz (/kæts/,Hebrew:מיכאיל כץ; born 1958)[1] is an Israelimathematician and professor of mathematics atBar-Ilan University. His main interests aredifferential geometry,geometric topology,nonstandard analysis, andmathematics education; he is the author of the bookSystolic Geometry and Topology, which is mainly aboutsystolic geometry. TheKatz–Sabourau inequality is named after him and Stéphane Sabourau.[2][3]
Mikhail Katz was born inChișinău 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 fromHarvard University.[1] He did his graduate studies atColumbia University, receiving his Ph.D. in 1984 under the joint supervision ofTroels Jørgensen andMikhael Gromov.[6] His thesis title isJung's Theorem in Complex Projective Geometry.
He moved toBar-Ilan University in 1999, after previously holding positions at theUniversity of Maryland, College Park,Stony Brook University,Indiana University Bloomington, theInstitut des Hautes Études Scientifiques, theUniversity of Rennes 1,Henri Poincaré University, andTel Aviv University.[1]
Katz has performed research in systolic geometry in collaboration withLuigi Ambrosio,Victor Bangert,Mikhail Gromov,Steve Shnider,Shmuel Weinberger, and others. He has authored research publications appearing in journals includingCommunications on Pure and Applied Mathematics,Duke Mathematical Journal,Geometric and Functional Analysis, andJournal 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 bookSystolic Geometry and Topology as one of two books he cites in systolic geometry.
More recently Katz also contributed to the study ofmathematics education, including work that provides an alternative interpretation of the number0.999....[9]
