My Current Roles

• Associate Professor of Mathematics at Central Michigan University.
• College of Science and Technology representative to, and member of the Executive Board of, the Faculty Association.
• Assistant Chairperson in the Department of Mathematics.
• Assistant to the Dean in the College of Science and Technology.

 

Publications

• Singularities of Secant Varieties, preprint.
• An Effective Bound for Reflexive Sheaves on Canonically Trivial 3-folds, submitted for publication.
• Regularity and Normality of the Secant Variety to a Projective Curve, Journal of Algebra 319 (2008), no. 3, pp. 1264-1270.
• The Hilbert Scheme of Elliptic Curves and Reflexive Sheaves on Fano 3-folds, Osaka Journal of Mathematics 45 (2008), no. 1, pp. 85-89.
• Moduli of Reflexive Sheaves on Smooth Projective 3-folds, Journal of Pure and Applied Algebra 211 (2007), no. 3, pp. 622-632.
• Classes of Stable Complex Matrices Defined via the Theorems of Gershgorin and Lyapunov, joint with Bryan Cain, Terry Lenker, and Sivaram Narayan, to appear, Linear and Multilinear Algebra.
• Stable Reflexive Sheaves on Smooth Projective 3-folds, Pacific Journal of Mathematics 219 (2005), no.2, pp. 391-398.
• The Parity of Invariants of Coherent Sheaves on Smooth 3-Fold Hypersurfaces, Communications in Algebra 33 (2005), pp. 319-321.
• A Counter Example to Fulton's Conjecture on $\overline{M}_{0,n}$, Journal of Algebra 248 (2002), pp 780-784.
• On the Regularity of Powers of Ideal Sheaves, Compositio Mathematica, 131 (2002), no. 2, pp. 161-172.
• Secant Varieties and Birational Geometry, Mathematische Zeitschrift 242 (2002), no. 1, pp 75-95.
• Some Results on Secant Varieties Leading to a Geometric Flip Construction, Compositio Mathematica 125 (2001), no. 3, pp. 263-282.