Mikhail Katz

Mikhail "Mischa" Gershevich Katz (born 1958) is an Israeli mathematician and a professor of mathematics at Bar-Ilan University.

He is known for his work in many areas of math. These include differential geometry, geometric topology, nonstandard analysis, and mathematics education.

Katz wrote a book called Systolic Geometry and Topology. This book talks about systolic geometry. One of his big ideas in math is called the Katz–Sabourau inequality. It is named after him and another mathematician, Stéphane Sabourau. His work helps us learn more about shapes and spaces in math.

Biography

Mikhail Katz was born in Chișinău in 1958. In 1976, he moved with his mother to the United States.

Katz earned a bachelor's degree in 1980 from Harvard University. He later studied at Columbia University, where he received his Ph.D. in 1984. After that, he taught at several universities before moving to Bar-Ilan University in 1999.

Work

Mikhail Katz has done important research in systolic geometry, a part of math. He worked with other mathematicians and wrote papers for many math journals. He helped write a book called Metric Structures for Riemannian and Non-Riemannian Spaces.

In 2007, Katz wrote a book called Systolic Geometry and Topology, which is important in this area of math. He has also worked on new ideas for teaching math, including thoughts about the number 0.999....