Mikhail Katz

Mikhail "Mischa" Gershevich Katz (born 1958) is an Israeli mathematician and a professor at Bar-Ilan University. He is well known for his work in several areas of mathematics, including differential geometry, geometric topology, nonstandard analysis, and mathematics education.

One of his notable contributions is the book Systolic Geometry and Topology, which focuses on systolic geometry. This field explores the relationship between the shape of a space and its geometric properties.

Katz is also recognized for his work with Stéphane Sabourau, and together they developed what is now known as the Katz–Sabourau inequality. This inequality is an important concept in the study of geometric shapes and their measurements.

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 from Harvard University in 1980. He completed his Ph.D. in 1984 at Columbia University. He later joined Bar-Ilan University in 1999, after teaching at several other universities.

Work

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

Katz wrote a book in 2007 called Systolic Geometry and Topology, which people in math often talk about. Recently, he has also helped study how math is taught, including new ideas about numbers like ^0.999....