Stephen Lovett
Northeastern University
360 Huntington Avenue
Boston, MA 02115

slovett@lynx.neu.edu
phone: 617-373-2080


Research Interests

    Algebraic geometry,   Commutative algebra,   Representation Theory

Curriculum Vitae

  -as of November 2002.

Research Description

  Statement of Research sent with job applications November 2002.

Papers in Preparation

As I am still working toward my dissertation, most of my work has not yet reached the preprint stage. Nonetheless, here are a two papers that will come out of my dissertaion and one in an area of side interest that is nearing completion:
  1. Symplectic and Orthogonal Analogues of Determinantal Ideals - While investigating symplectic or orthogonal representations of so called symmetric quivers, we attempt to study the algebraic geometry of orbits closures. When the quiver is symmetric equioriented $A_3$, the coordinate rings of these orbits simultaneously extend the notions of determinantal ideals and ideals defined by symmetric or antisymmetric matrices with a specified rank. We obtain resolutions and answer normality and rationality questions.
  2. Codimension Formulas for Orbits of Representations of Symmetric Quivers - In this article we present the notion of symmetric quiver and establish results that parallel basic facts in the study of standard quivers. In particular, we describe two formulas to calculate the codimension of the orbit closures within the affine symmetric representation space.
  3. Galois Theory in Algebraic Discrete Dynamical Systems - We consider a discrete dynamical system defined be iterating a polynomial $P\in k[x]$ over points in $\bar{k}$. Due to the dynamics of the system, the Galois group of the polynomial whose roots are the $n$ cycles is a wreath product much smaller than the full symmetric group on the roots.

Talks and Presentations

Teaching Statement

  Teaching Statement sent with job applications in November 2002.

Teaching Awards

  Outstanding Graduate Instructor of Record, Northeastern University, 2002.

Courses Taught at Northeastern Universisty

Please visit my teaching webpage for specific information on the courses.
  1. Applications of Algebra
  2. Calculus I, II, II, IV
  3. Calculus IV Honors - Multivariable Calculus
  4. Differential Equations
  5. Chaos and Fractals
  6. Discrete Mathematics
  7. Excel Program for Women in Engineering


Feel free to visit my full website at http://www.math.neu.edu/~lovett/.