Mathematical Sciences Faculty Mentors

Timothy Feeman, Ph.D.

University of Michigan, 1984
Professor of Mathematical Sciences
Office: SAC 373; Phone: 610-519-4693
Web site:

Dr. Feeman’s principal areas of research are analysis of functions, operator theory, medical imaging, and the connections between cartography and mathematics. He has written two books -- Portraits of the Earth: A Mathematician Looks at Maps (2002, AMS) and The Mathematics of Medical Imaging: A Beginner's Guide (2010, Springer) -- and has authored or coauthored over twenty journal articles. Dr. Feeman received the 2002 George Polya Award for expository writing from the Mathematical Association of America. His Erdos number is 2. Dr. Feeman is active in progressive politics and enjoys cycling and listening to indie rock music.

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Frederick Hartmann, Ph.D.

Lehigh University, 1968
Director of Comprehensive Science Program; Professor of Mathematical Sciences
Office: SAC 447; Phone: 610-519-7334

Dr. Hartmann’s research interests are in the broad area within mathematics known as analysis. For most students, this is an extension of the topics covered in an advanced calculus course. His particular area of interest is complex function theory and a sub-discipline of it called geometric function theory. Dr. Hartmann is particularly interested in how certain analytic functions map the unit disk. Students interested in participating in this type of research must have a background that includes advanced calculus (MAT 3300, 3305) and an undergraduate course in complex analysis (MAT 5400).

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Robert Styer, Ph.D.

Massachusetts Institute of Technology, 1981
Associate Professor of Mathematical Sciences
Office: SAC 372; Phone: 610-519-4845

Dr. Styer’s research interests are in elementary and computational number theory, in
bioinformatics, and in pedagogical reforms in teaching of mathematics.

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Klaus Volpert, Ph.D.

University of Oregon, 1989
Associate Professor of Mathematical Sciences
Office: SAC 374; Phone: 610-519-4670

Dr. Volpert’s research and publications are in the area of algebraic topology and differential geometry. More specifically, he studies the deformation theory of various algebraic structures, particularly Lie algebras and Hopf algebras. His general interests, however, and the classes he teaches, encompass a wide range of mathematics that might be attractive to an undergraduate student, including the theory of knots, financial mathematics, non-euclidean geometry, mathematical physics, and especially applications of computer algebra systems to real-life problems. He welcomes students interested in writing an Honor’s thesis in any one of these areas.

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Contact Us

Villanova University
Garey Hall 106
800 Lancaster Ave.
Villanova, PA 19085
Phone: 610.519.4650
Fax: 610.519.5405