Elizabeth Townsend Beazley

Department of Mathematics & Statistics

Assistant Professor

Bronfman Science Center
18 Hoxsey St.
Williamstown, MA 01267
Office: 208 Bronfman (x4960)
Email: Elizabeth.T.Beazley@williams.edu

Curriculum Vitae:

• Professional Positions:
  • Assistant Professor, Williams College, Fall 2010 – Present
  • RTG Hildebrandt Assistant Professor, University of Michigan, Fall 2009 – Spring 2010
• Education:
  • Ph.D. from University of Chicago, June 2009
  • B.S. from Washington & Lee University, June 2003
  • Budapest Semesters in Mathematics, Fall 2001 – Spring 2002
• Research:
  • Areas: Algebraic Geometry, Algebraic Combinatorics, Representation Theory
  • Summary: I am interested in answering geometric and topological questions about algebraic varieties using the methods of algebraic combinatorics. In general, I seek geometric patterns which have elegant and explicit combinatorial descriptions. My present research program includes studying a family of varieties in the affine flag variety, called affine Deligne-Lusztig varieties, which are governed by a combinatorially rich partially ordered set of Newton polygons.  I have also recently started several projects aimed toward developing combinatorial models for quantum Schubert calculus.
• Publications and Preprints:
  • “The poset of Newton polygons is shellable,” joint with Luis Serrano, preprint in preparation.
  • “Maximal Newton polygons via the quantum Bruhat graph,” preprint in preparation.
  • “Affine Deligne-Lusztig varieties associated to additive affine Weyl group elements“, to appear in J. Algebra.
  • “Codimensions of Newton strata for SL(3) in the Iwahori case”, Math. Zeit. 263, no. 3, p. 499-540, 2009.
• Teaching:
  • Williams College: (course websites on Glow)
    • Math 312: Abstract Algebra, Spring 2012
    • Math 16: A Critical Study of the Coen Brothers, Winter 2012
    • Math 103: Calculus I, Fall 2011, Spring 2012
    • Math 211: Linear Algebra, Spring 2011
    • Math 418: Linear Algebraic Groups, Fall 2010
    • Math 251: Discrete Mathematics, Fall 2010
  • University of Michigan Courses:
    • Math 217:Linear Algebra, Winter 2010, Fall 2009
  • University of Chicago Courses:
    • MATH 19520-47: Mathematical Methods for the Social Sciences I, Winter 2009
    • Math 105 – Math 106: Fundamental Mathematics I – II, Fall 2007 – Winter 2008
    • MATH 161 – Math 162 – Math 163: Inquiry-Based Honors Calculus I – III, Fall 2006 – Spring 2007
    • MATH 152 – MATH 153: Intermediate Calculus II – III, Fall 2008, Fall 2005 – Winter 2006
    • SESAME Geometry, Winter 2008, Fall 2006
    • SESAME Number Theory, Spring 2008, Winter 2007, Spring 2006