Education

• Ph.D., Purdue University, 1988
• M.S., University of Michigan, 1981
• B.S., University of Madras, India, 1974

Affiliations

American Mathematical Society, Mathematical Association of America, International Linear Algebra Society

Honors and Awards

• College of Science and Technology Outstanding Research Award, 2009
• College of Science and Technology Outstanding Teaching Award, 2004
• Central Michigan University Research Professorship, Spring 2004

Professional Interests

Operator Theory and Matrix Analysis

Teaching Areas

Calculus I-III, Linear Algebra, Differential Equations, Complex Analysis, Functional Analysis, and Real Analysis

Ph.D. Students

Recent Publications

Note: An * after a name indicates the co-author was an undergraduate student at the time of collaboration.

• (2012) On Nonsingular Regular Magic Squares of Odd Order (with M. Lee*, E. Love*, E. Wascher* and J. Webster), to appear in Linear Algebra and its Applications.
• (2012) Weighted composition operators on weighted Bergman spaces of the unit ball (with W. Al-Rawashdeh), to appear in International Journal of Pure and Applied Mathematics.
• (2012) Commutators of Composition Operators with Adjoints of Composition Operators on Weighted Bergman spaces (with B.D. MacCluer and R.J. Weir) to appear in Complex Variables and Elliptic Equations.
• (2012) Commutators of Composition Operators with Adjoints of Composition Operators (with J. Clifford and D. Levi), to appear in Complex Variables and Elliptic Equations.
• (2012) Lower bounds for minimum semidefinite rank from orthogonal removal and chordal supergraphs (with L.H. Mitchell, A.M. Zimmer), Linear Algebra and its Applications 436 (2012) 525-536.
• (2011) On the minimum semi-definite rank of a simple graph (with M. Booth*, P. Hackney*, B. Harris*, C.R. Johnson, M. Lay*, T. Lenker, L. Mitchell, A. Pascoe*, B.D. Sutton) Linear and Multilinear Algebra 59 (2011), 483-506.
• (2011) Minimum semidefinite rank of outerplanar graphs and the tree cover number (with F. Barioli, L. Mitchell and S. Fallat), Electronics Journal of Linear Algebra 22 (2011),
  10-21.
• (2011) Robustness and Surgery of Frames (with E. Radzwion*, S. Rimer*, R. Tomasino*, J. Wolfe*, and A. Zimmer) Linear Algebra and its Applications 434 (2011) 1893-1901.
• (2010) On the minimum vector rank of multigraphs (with L. Mitchell and I. Rogers*), Electronics Journal of Linear Algebra 20 (2010), 661-672.
• (2010) Normal Weighted Composition Operators on the Hardy Space H(U) (with P.S. Bourdon) Journal of Mathematical Analysis and its Applications 367 (2010), 278-286.
• (2010) Lower bounds in minimum rank problems (with L.H. Mitchell, A.M. Zimmer), Linear Algebra and its Applications 432 (2010), 430-440.
• (2009) Circular Symmetry of Spectra of Composition Operators (with Dawn E. Sadir), Far East Journal of Mathematical Sciences 35 (2009), 281-293.
• (2009) Linearly independent vertices and minimum semi-definite rank (with P. Hackney*, B. Harris*, M. Lay*, L. Mitchell, A. Pascoe*), Linear Algebra and its Applications 431 (2009), 1105-1115.
• (2008) Schur-type Stability Properties and Complex Diagonal Scaling (with C.R. Johnson and T. Lenker), Linear Algebra and its Applications 429 (2008), 2497-2520.
• (2008) On the minimum rank among positive semi-definite matrices with a given graph (with M. Booth*, P. Hackney*, B. Harris*, C.R. Johnson, M. Lay*, L. Mitchell, A. Pascoe*, K. Steinmetz*, B.D. Sutton, W. Wang*) SIAM Journal of Matrix Analysis and Applications 30 (2008), 731-740.
• (2008) Classes of Stable Complex Matrices Defined via the Theorems of Gersgorin and Lyapunov (with B. Cain, T. Lenker and P. Vermeire), Linear and Multilinear Algebra 56 (Issue 6) (2008), 713-724.
• (2008) Unitary Matrix Diagraphs and Minimum Semi-definite Rank (with Yunjiang Jiang*, Lon Mitchell), Linear Algebra and its Applications 428 (2008), 1685-1695.
• (2008) Zero forcing sets and the minimum rank of graphs (American Institute of Mathematics minimum rank/special graphs work group), Linear Algebra and its Applications 428 (2008), 1628-1648.

• Commutators of composition operators with adjoints of composition operators on weighted Bergman spaces, Invited Talk, AMS Special Session on Operator Theory on Analytic Function Spaces, Joint Mathematics Meeting, Boston, MA, January 3-7, 2012.
• Lower bounds for minimum semi-definite rank from orthogonal removal and chordal supergraphs, Contributed Talk, Joint Mathematics Meeting, Boston, MA, January 3-7, 2012.
• Bounds for minimum semi-definite rank of a graph using superpositions and cut sets, Invited Talk, AMS Special Session on Matrices and Graphs, University of Nebraska, Lincoln, NE, October 14-16, 2011.
• Lower bounds in minimum rank problems, Invited Talk, AMS Special Session on Matrices and Graphs, Macalester College, St. Paul, MN, April 10-11, 2010.