Klaus E. VoKlaus E. Volpert, PhD
Department of Mathematics
Villanova University College of Liberal Arts and Sciences
Area of Expertise
- Mathematics of Finance and Economics
- Pedagogy of Mathematics
- Differential Geometry
- Algebraic Topology
Income inequality in the United States continually fluctuates, but the large gap between rich and poor remains constant. Dr. Volpert has done extensive research on the variation of income inequality and the mathematical causes behind its rise and fall. An expert source on applied mathematics at the intersection of ﬁnance and economics, he is also an authoritative voice on the ways in which teachers can help students understand and use mathematics.
- Ph.D., University of Oregon
- M.S., Physics, University of Oregon
- M.S., Mathematics, University of Oregon
- Vordiplom, Universität Konstanz, Germany
- “How well do bond interest rates predict stock market returns?” Journal of Investing, Summer 2013 issue.
- Robert T. Jantzen, Klause E. Volpert, “On the Mathematics of Income Inequality: Splitting the Gini-Index in Two,” American Mathematical Monthly, June 2012.
- “Finite spectral sequences and Massey Powers in the deformation theory of graded Lie algebras and associative algebras,” Journal of Pure and Applied Algebra, 87, p. 281-300, 1993.
- “A Spectral Sequence Connecting the Spencer Cohomology of a Transitive Lie Algebra with is Deformation Cohomology,” Algebras, Groups and Geometries, Vol 7, p. 313-344, 1990.
Selected Professional Experience
- Villanova faculty member since 1989
- Villanova Institute for Teaching and Learning mini grant for development of a course in Monte Carlo Methods, 2010.
- Completion rates in PhD programs in Mathematics at U.S. institutions, 2005-present.
- Volatility Smile and Bond Ratings, 2002-present.
- Long-term bond yields as predictors for stock-market performance, 2004-present.
- Math and Science Partnership of Greater Philadelphia participant, 2005.
- Villanova Institute for Teaching and Learning mini grant for development of a course on ‘Technology in the Teaching of Mathematics,’ 1998.