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Professor Stephan Garcia Awarded $164,890 Grant for Complex Symmetric Operator Research

Stephan Garcia, professor of mathematics at Pomona College, has received a three-year, $164,890 grant from the National Science Foundation for research entitled “Complex Symmetric Operators – Theory and Applications.”

“The study of Hilbert space operators links a wide variety of disciplines, including control theory, approximation theory, quantum mechanics, function theory, signal processing, noncommutative geometry, and matrix theory, to name a few,” says Garcia. He will focus on the structural properties of complex symmetric operators while also considering a number of specific questions that interface with complex analysis, matrix theory, and other areas.

Beginning in fall 2010, Garcia expects to employ two-to-three undergraduate researchers each year. Students who have worked with Garcia in the past have written or coauthored articles in several research journals. Most recently, an article co-authored with James Tener ’08 was just accepted for publication by the Journal of Operator Theory.

Recent work by Garcia and his collaborators has revealed applications to quantum physics and, as a result, he is scheduled to be an invited speaker at the European Science Foundation (ESF) exploratory workshop on “Mathematical aspects of physics with non-self-adjoint operators,” in Prague, beginning in late August.

Pomona College is one of the nation’s premier liberal arts institutions, offering a comprehensive program in the arts, humanities, social sciences and natural sciences. Its hallmarks include small classes, close relationships between students and faculty, and a range of opportunities for student research.