This list includes all members of OSU's permanent faculty in mathematics.  

Alan Adolphson

B.A., Western Washington U.; Ph.D., Princeton, 1974. He works in number theory and arithmetical algebraic geometry. Particular interests include exponential sums, algebraic varieties over finite fields, cohomology theories, and the algebraic theory of differential equations.  

Douglas B. Aichele

B.A./M.A., University of Missouri/Columbia; Ed.D., University of Missouri/Columbia, 1969. He is interested generally in issues and trends related to collegiate and school mathematics education. More specifically, curriculum and teacher preparation/professional development, mathematics and science connections, entry-level mathematics curriculum and pedagogy, mathematical structures (geometric and quantitative) for prospective elementary teachers, school geometry curriculum and pedagogy. 

Dale Alspach

B.S., U. of Akron; Ph.D., Ohio State, 1976. Analysis, functional analysis, harmonic analysis. His particular interest is in the geometry of Banach spaces. This involves computations in a variety of function spaces and uses methods from advanced calculus, complex analysis, probability, and other areas.  

Mahdi Asgari

Ph.D., Purdue, 2000. Number Theory, Automorphic Forms, and L-functions.  

Leticia Barchini

Ph.D., 1987, U. Nac. de Cordoba, Argentina. Representation theory of semisimple Lie groups and analysis on homogeneous spaces.  

Dennis Bertholf (Emeritus)

B.S., U. of Kansas; M.A., New Mexico State; Ph.D., New Mexico State, 1968. Abelian group theory, mathematics education.  

Birne Binegar

B.S./M.S., U.C.L.A.; Ph.D., U.C.L.A., 1982. Interested in groups of geometrical transformations, and the actions such transformations induce on spaces of functions. In particular, he focuses on occasions when the action of a group G of differentiable transformations of a given space M induces an action on a space of square integrable functions over M that preserves the inner product. When M is a symplectic manifold, this problem is equivalent to finding a ``quantization'' of M.  

Hermann Burchard (Emeritus)

Dipl.-Math, U. of Hamburg; Ph.D., Purdue, 1968. Algorithms and theory of numerical computer methods and software. There are at least three ``layers:'' Mathematics, algorithms, and computing practice. Numerical solution of equations, approximation of functions, integration, linear algebra and differential equations, optimization. Each of these areas has many interesting numerical procedures, often with an involved theory of accuracy (convergence, error estimates).  

James Choike

B.S., U. of Detroit; M.S., Purdue U.; Ph.D., Wayne State, 1970. His interests in mathematics are topics in complex analysis, especially the behavior of functions near singularities; applied mathematics, especially problems that arise in an industrial and multi-disciplinary setting; and the history of mathematics, especially the development of mathematics by cultures other than western/European cultures.   

Bruce Crauder

B.A., Haverford College; M.A./Ph.D., Columbia, 1981. Algebraic geometry, mathematics education.  

Benny Evans

B.S., OSU; M.A./Ph.D., Michigan, 1971. Low-dimensional topology, mathematics education.  

Christopher Francisco

B.S., University of Illinois (Urbana); M.S./Ph.D., Cornell University, 2004. He is interested in commutative algebra, particularly connections with graph theory and problems that can be studied with computational and combinatorial techniques. 

Amit Ghosh

B.Sc., Imperial College of London; Ph.D., Nottingham, 1981. Analytic number theory, L-functions.  

R. Paul Horja

Ph.D., Duke, 1999. Algebraic Geometry, Mathematical Physics. 

William Jaco

B.A., Fairmont State College; M.A., Penn State; Ph.D., Wisconsin, 1968. Low-dimensional topology, Geometric and Combinatorial Group Theory. His primary interest is in the study, understanding, and classification of three-manifolds. The mathematical questions and techniques in low-dimensional topology are very similar to those in geometric and combinatorial group theory. Much of this work involves decision problems, algorithms, and computational complexity. Recent work has been the connection of combinatorial structures to the geometry and topology of three-manifolds. 

John Jobe (Emeritus)

B.S., U. of Tulsa; M.S./Ph.D., Oklahoma State, 1966. Professor Emeritus. He is interested in topological properties including connectedness, compactness, local connectedness and compactness, indecomposability and hereditary indecomposability, and the fixed point property of a continuous function. He is also interested in the development of mathematics curricular materials, written and video.

Jesse Johnson

B.A., Middlebury College; PhD, UC Davis, 2002.  The topology of surfaces in 3-dimensional manifolds, such as incompressible sufaces, Heegaard surfaces and bridge surfaces for knots.

Ning Ju

Ph.D., Indiana, 1999. Applied mathematics. 

Anthony Kable

B.Sc. (Hon), Australian National University, 1986; M.Sc., Oxford University, 1989; Ph.D., Oklahoma State, 1997. Representation Theory, Number Theory, and Invariant Theory. 

Marvin Keener (Emeritus)

B.S., Birmingham Southern College; M.A./Ph.D., Missouri, 1970. He concentrates on ordinary differential equations. 

Ignacy Kotlarski (Emeritius)

M.S., Warsaw Poland; Ph.D., Wroclaw, 1961. He is interested in the application of various integral transforms (such as Laplace, Fourier, Mellin transforms) and generating functions in Probability Theory.  

JaEun Ku

Ph.D., Cornell, 2004. Numerical analysis.  

Weiping Li

B.S., Dalian Institute of Technology; Ph.D., Michigan State, 1992. He is interested in Floer homologies of instantons on 3-manifolds and Lagrangian intersections; semi-infinite homology of infinite Lie algebras; mapping class groups and knot theory.  

Lisa Mantini

B.S., University of Pittsburgh, A.M./Ph.D. Harvard University, 1983. Her primary research interest, broadly speaking, is symmetry, ranging from the motions that preserve regular shapes in the plane to the changes of variable that preserve the solutions tocertain differential equations of mathematical physics. She is also interested in undergraduate research, in mathematics competitions at the high school and college levels, and in the preparation of mathematics graduate students as teachers of mathematics.  

Anvar Mavlyutov

Ph.D., U Mass Amherst, 2000. Algebraic Geometry and Mirror Symmetry. 

J. Robert Myers

B.A./M.A./Ph.D., Rice U., 1977. His research area, geometric topology, is the study of spaces called manifolds. These are generalizations of the curves and surfaces encountered in calculus. The subject has close ties to group theory and geometry. One particularly rich source of examples and applications, which is also very accessible and easy to visualize, is knot theory. This is exactly what its name implies: the mathematical study of knotted curves in ordinary space.  

Alan Noell

B.S., Texas A&M; M.A./Ph.D., Princeton, 1983. He is interested in complex analysis in one and several variables. His main area of work involves convexity properties of certain subsets of complex Euclidean space.  

Igor Pritsker

B.A., M.S. Donetsk State University, USSR, 1990, Ph.D. University of South Florida, Tampa, FL, 1995. Complex Analysis, Approximation Theory, Potential Theory, Analytic Number Theory and Numerical Analysis.  

A. Raghuram

B.Tech., Indian Institute of Technology at Kanpur, India, 1992. Ph.D., Tata Institute of Fundamental Research, University of Mumbai, India, 2001. Number Theory, Representation Theory and Automorphic Forms. He is interested in the special values of automorphic L-functions. He uses the results and techniques of the Langlands program to prove theorems about special values of various L-functions; these values encode within them a lot of number theoretic infromation. He is also interested in the representation theory and harmonic analysis of p-adic groups. 

Mathias Schulze

Ph.D., TU Kaiserslautern, Germany, 2002. Singularities, D-modules, computer algebra.  

David Ullrich

B.A./M.A./Ph.D., Wisconsin, 1981. He works with Fourier series, complex/harmonic analysis, and various connections with probability theory. For example: What happens if you choose the coefficients in a Fourier series at random? Or, what does Brownian motion have to do with analytic functions?  

Yanqiu Wang

Ph.D., Texas A&M, 2004. Numerical analysis.

John Wolfe (Emeritus)

B.A. Bucknell U.; M.A./Ph.D., Berkeley, 1971. He is interested in issues in K-16 mathematics education such as (a) reform as envisioned by the curriculum, evaluation, and professional standards of the National Council of Teachers of Mathematics; (b) equity and minority issues; (c) the role of technology; and (d) the role of state coalitions. He is specifically interested in early intervention testing programs.  

David J. Wright

A.B., Cornell U.; A.M./Ph.D., Harvard, 1982. His primary interest is the study of the properties of fields of algebraic numbers. In particular, he is interested in those properties (discriminants, class-numbers, regulators) that can be studies with tools from the theory of algebraic matrix groups. This theory dates back to the work of Gauss on the theory of equivalence of binary integral quadratic forms. He also studies the theory of Riemann surfaces and Kleinian groups, a subfield of complex analysis. Surprisingly, many concepts in algebraic number theory have very precise analogues in the theory of surfaces. He is particularly interested in the properties of limit sets of Kleinian groups and in the shape of Teichmuller space, which is a kind of parameter space for Riemann surfaces.

Jiahong Wu

Ph.D., Chicago, 1996. Applied mathematics. 

Roger Zierau

B.S., Trinity College; Ph.D., Berkeley, 1985. His areas of research include the representation theory of reductive Lie groups and the geometry of homogeneous spaces.