Abel Klein

Professor, Mathematics
School of Physical Sciences

PH.D., Massachusetts Institute of Technology, 1971

Phone: (949) 824-5817
Fax: (949) 824-7993
Email: aklein@uci.edu

University of California, Irvine
340K Rowland Hall
Mail Code: 3875
Irvine, CA 92697

picture of Abel  Klein

Research
Interests
Mathematical Physics: Random Schrödinger operators
   
URL Abel Klein's homepage
   
Academic
Distinctions
Fellow of the American Mathematical Society
   
Appointments 1982-present: Professor, Department of Mathematics, UC Irvine.
1996-1999: Chair, Department of Mathematics, UC Irvine.
1977-1982: Associate Profesor, Department of Mathematics, UC Irvine.
1974-1977: Assistant Professor, Department of Mathematics, UC Irvine.
1972-1974: Instructor, Princeton University.
1971-1972: Adjunct Assistant Professor, UCLA.
   
Research
Abstract
The main subject of Klein's research is the study of phenomena that occur in disordered systems. Impurities can change dramatically the properties of certain materials. The best known examples are transistors, which are made of certain materials whose properties are modified by impurities. Such materials are modeled by disordered systems.

Random Schrödinger operators describe an electron moving in a medium with random impurities. In the widely accepted picture, in three or more dimensions there exists a transition from an insulator region, characterized by localized states, to a very different metallic region, characterized by extended states, while in one or two dimensions there are only localized states and no metal-insulator transition. Klein's research aims to further the mathematical understanding of this picture.
   
Publications Abel Klein Publications
   
Grant NSF DMS-1301641
   
Professional
Societies
American Mathematical Society
International Association of Mathematical Physics
   
   
Link to this profile http://www.faculty.uci.edu/profile.cfm?faculty_id=2060
   
Last updated 01/16/2018