Research Interests

I am interested in commutative algebra, but also in algebraic geometry and combinatorics.

My advisers are Professor Phillip Griffith and Professor Hal Schenck.

Talks

• Green's conjecture (slides),
  Graduate Student Algebraic Geometry Seminar at UIUC, Oct 2008
• Weak Lefschetz property for ideals generated by powers of linear forms (poster), PASI conference in Olinda, Aug 2009
• Syzygy theorems via comparison of order ideals
  Commutative Algebra seminar at Purdue, Sept 2009
• Weak Lefschetz property- a computational approach
  Women's seminar at UIUC, Oct 2009
• Weak Lefschetz Property and powers of linear forms
  Commutative Algebra seminar at UIUC, Oct 2009
• Weak Lefschetz Property and powers of linear forms (slides)
  AMS Sectional Meeting in Boca Raton, Nov 2009
• The Syzygy Theorem in mixed characteristic
  Commutative Algebra seminar at UIUC, Nov 2009

Mathematical Software

In my work I use the computer algebra program Macaulay2.

I have authored or co-authored several packages for Macaulay2: GenericInitialIdeal, Regularity (alternative package for computing Castelnuovo-Mumford regularity), SymmetricPolynomials (fast way of expressing of any symmetric polynomial in terms of elementary symmetric polynomials). You can download any package while using Macaulay2 by typing getPackage("PackageName").