Research

PUBLICATIONS:

  • Topological 4-manifolds with right-angled Artin fundamental groups, joint with Ian Hambleton.
    Published May 2018 in the Journal of Topology and Analysis (https://doi.org/10.1142/S1793525319500328); WorldScientific linkpdf download
  • The minimum b_2 problem for right-angled Artin groups.
    Published June 2015 in the Journal of Algebraic and Geometric Topology (Volume 15, no. 3, 1599-1641); MathSciNet linkpdf download

INVITED TALKS:

  • Manifolds and handle decompositions. 5/4/18, University of Hartford Mathematics Colloquium.
  • Visualizing topological spaces in 4 dimensions. 10/6/16, Center for Women in Mathematics, Smith College.
  • Topological 4-manifolds with RAAG fundamental groups. 12/4/15, UMASS Topology Seminar.
  • Topological 4-manifolds with right-angled Artin fundamental groups. 6/27/15, Workshop on Manifolds and Surgery, McMaster University.
  • The minimum $b_2$ problem for right-angled Artin groups. 8/22/14, Workshop on Topology and Invariants of 4-Manifolds
  • The minimum $b_2$ problem for right-angled Artin groups. 3/23/13, 47th Spring Topology and Dynamics Conference
  • The Hausmann-Weinberger 4-manifold invariant for right-angled Artin groups. 3/31/12, Indiana Graduate Student Topology Conference

OTHER TALKS I’VE GIVEN IN THE PAST:

  • Right-angled Artin groups with tame cohomology. 11/11/15, Wesleyan Topology et al Seminar.
  • Four-manifolds with right-angled Artin fundamental groups. 10/29/15, Wesleyan Colloquium.
  • Topological 4-manifolds with RAAG fundamental groups. 12/7/14, 2014 CMS Winter Meeting, Hamilton, ON
  • An introduction to knot concordance. 7/24/14, McMaster Knot Theory Seminar
  • The minimum $b_2$ problem for right-angled Artin groups. 10/31/13, McMaster Geometry/Topology Seminar
  • An introduction to the classification of 4-manifolds and Kirby calculus. 4/3/12 and 4/17/12, Brandeis Topology Seminar
  • On the Tristram-Levine signatures of a knot. 10/18/11, Brandeis Topology Seminar Algebraic obstructions to concordance. 10/4/11, Brandeis Topology Seminar
  • Some knots with surgeries yielding lens spaces. 4/26/10, Brandeis second-year-seminar
  • An introduction to the Braid Group. 2/9/10, Brandeis Topology Seminar

CONFERENCES: