Current Research
Publications
- Rees
algebras of square-free monomial ideals , with Kuei-Nuan Lin,
submitted for publication.
- Minimal
reductions
and
cores
of
edge ideals,
with Susan Morey, J. Algebra 364 (2012), 52-66.
- A
formula for the
*-core of an ideal , with Janet Vassilev and Adela
Vraciu, Proc. Amer. Math. Soc. 139 (2011), 4235-4245.
- What
is a system of
parameters ?, with Craig Huneke, Proc. Amer. Math. Soc. 139 (2011),
2681-2696.
- Annihilators
of
Graded
Components
of
the
Canonical
Module
and
the
Core
of
Standard
Graded
Algebras
, with Claudia Polini and Bernd
Ulrich, Tran. Amer. Math. Soc. 362 (2010), 6183-6203.
- The
cl-core of an ideal,
with Janet Vassilev, Proc. Math. Camb. Phil. Soc. 149 (2010)
247-262.
- The
core of ideals in arbitrary
characteristic , with Claudia Polini
and Bernd Ulrich, Michigan Math. J. 57 (2008), 305-319
- Computing
the
core
of
ideals
in
arbitrary
characteristic
, J. Algebra
319 (2008), 2855-2867.
- A study on the core of ideals, Ph. D.
thesis under the direction of Professor Bernd Ulrich.
|
Work in Progress
- Reduction numbers and balanced ideals,
in preparation.
- Lower bounds for the depth of powers of edge
ideals, with
Susan Morey.
|
|
|