Scienceשי הרן

Shai M. J. Haran

Shai Haran is an Israeli mathematician and Technion professor known for work in p-adic analysis and non-additive geometry related to the Riemann Hypothesis.

born 1958p-adic analysisp-adic quantum mechanicsNon-additive geometryThe field with one element

Born: 8 October 1958
Occupation: university teacher
Education: Massachusetts Institute of Technology, Hebrew University of Jerusalem

Shai M. J. Haran was born in 1958

Shai Haran was born in Jerusalem on October 8, 1958. His father is Bible scholar and Israel Prize laureate Professor Menahem Haran, and his mother is Dr. Raya Haran. His sister, Professor Tali Haran, is a molecular biology researcher at the Technion.

He graduated from the Hebrew University in 1979. In 1983 he earned a PhD in mathematics from MIT on p-adic L-functions for elliptic curves. His advisor was Barry Mazur of Harvard, and his mentors were Michael Artin and Daniel Quillen.

Haran is a professor at the Technion and has been a visiting researcher at Stanford, MIT, Harvard, Columbia, IHES, the Max Planck Institute and universities in Japan. His early work built p-adic L-functions for modular forms on GL(2). A formula he gave for explicit sums of arithmetic functions was one inspiration for Alain Connes's approach to the Riemann Hypothesis.

He later developed potential theory and quantum mechanics over the p-adic numbers and built Markov chains over p-adic, real and complex numbers. His recent work lays foundations for non-additive geometry, including the field with one element. He is an editor of the journal p-Adic Numbers, Ultrametric Analysis and Applications.