University of Mississippi
305 Hume Hall
Department of Mathematics (AMS recognition)
P.O. Box 1848
Office: Hume Hall, #335
Telephone: (662) 915-5646
FAX: (662) 915-5491
I am an Associate Professor at
University of Mississippi
. Previously, I held the position of VIGRE
postdoctoral Assistant Professor/Lecturer at the
University of Utah, where I worked with Paul Roberts.
I earned my Ph.D. at the University
of Illinois in
Urbana-Champaign under the direction of Phillip Griffith. My area of interest is Commutative Algebra.
Below I have provided details on my research, teaching experience, and professional activities. For a summary of this information, please refer to my vita.
I work in the area of Commutative Algebra, with specialization in the topics of divisor class groups and Chow groups. I also study the growth of ideals and zero divisor graphs. For detailed information on my research interests, please see my research
statement, which is available in .pdf format. My preprints are also available.
- On invariants of complete intersections, Michigan Math. J., 62 (2013), 209-223.
- The vanishing of a higher codimension analogue of Hochster's theta invariant, with W.F. Moore, G. Piepmeyer, and M.E. Walker, Math. Z., 273 (2013), no. 3, 907-920.
- On zero divisor graphs, with J. Coykendall, S. Sather-Wagstaff, and L. Sheppardson, Progress in Comm. Alg., Vol. 2, de Gruyter, April 2012, 241-299.
- Five point zero divisor graphs determined by equivalence classes of zero divisors, with F. Levidiotis, Involve, 4 (2011), no. 1, 53-64.
- Hochster's theta invariant and the Hodge Index Theorem, with W. F. Moore, G. Piepmeyer, and M. Walker, Advances in Math, 226 (2010), no. 2, 1692-1714; .pdf
- A zero divisor graph determined by equivalence classes of zero divisors, with C. Wickham, Communications in Alg., 39 (2011) 2338-2348; .pdf
- Maps on divisor class groups induced by ring homomorphisms of finite flat dimension, with S. Sather-Wagstaff, J. Commutative Algebra, 1, no. 3 (2009) 567-590.
- An algebraic proof of the commutativity of intersection with divisors, with P. Roberts, J. Algebra, 320 (2008) 2165-2180; .pdf
- Divisor class groups of graded hypersurfaces, with A. Singh, Contemp. Math, 448 (2007) 237-243; .pdf
- Asymptotic growth of powers of ideals, with C. Ciuperca and F. Enescu, Illinois J. Math, 51 no. 1 (2007) 29-39; .pdf
- Restriction of divisor
classes to hypersurfaces in characteristic p, with Phillip Griffith,
J. Algebra, 275 (2004) 801-814; .pdf
- The limiting behavior on
the restriction of divisor classes to hypersurfaces,
J. Pure Appl.
186 (2004) 77-89; .pdf
- Linear Algebra
- Abstract Algebra
I have long been interested in the teaching of mathematics. As a
former high school teacher and teaching assistant, I have taught a variety of
courses, using several different instructional methods. This past summer, as a Visiting Assistant Professor at the University of Nebraska-Lincoln, I team taught an Algebra course for incoming graduate students based on a publication in Communications in Algebra. At Seattle University and the University of Utah, I used the WeBWorK homework system. As a graduate student at
the University of
Illinois, I worked as a
Research Assistant, in the area of secondary mathematics teacher education, with
Professors Susan Tolman and John Sullivan . Their
project, a cooperation between the Mathematics and
Education departments at the University and Danville High School,
seeks to improve teacher preparation. At the University of Utah,
I was an active participant in the Math
Circle program for high school students, directed by Peter Trapa.
Moreover, I have worked with REU students through the VIGRE
grant. My course experience is listed in the table below. For more
on my teaching experience and philosophy, my statement is available in .pdf format. For a brief summary of my
educational experience, see my teaching vita.
Calculus I, II, Bus. Calc.
College & High School
Calculus and Mathematica , Merit Workshop , Active
College & Intermediate Algebra
Geometry, Algebra, Basic Math
The table below provides an overview of my academic history. For more
detailed information about my education and teaching experience, please refer
to my vita, available in .pdf format.
University of Illinois at Urbana-Champaign
Ph.D. Mathematics, 2003
Saint Louis University
M.A. Mathematics, 1996
B.S. Mathematics, 1991