My research interests are in pure and applied algebraic topology. My research has focused on geometric understanding of homology classes in embedding spaces. I am also involved in a project investigating extended symmetric spaces and θ-Twisted Involution Graphs and another applying algebraic topology to comparisons of directed and weighted road maps.
University of Oregon, Eugene, OR, 2012
Washington University in St. Louis, St. Louis, MO, 2003
B.S., Mathematics and Physics
Gonzaga University, Spokane, WA, 2002
Pi Mu Epsilon. (2014). National Mathematical Honor Society - Inducted into Minnesota Beta Chapter in Spring 2014
University of Oregon. (2010). Anderson Award - Awarded to a graduate student with an outstanding teaching record
Summer Scholars Award (2017)
Clare Booth Luce Research Scholars Award (2016)
Clare Booth Luce Research Scholars Award (2013)
Pelatt, Kristine and Sinha, Dev. "A geometric homology representative in the space of knots.” Contemporary Mathematics Vol. 682: Manifolds and K-Theory, edited by Greg Arone et al. 2017. 167 -- 188.
“Extended Symmetric Spaces and θ-Twisted Involution Graphs of Sn,” MAA North Central Section Meeting, University of Minnesota, October 2016.
“Geometric homology classes in the space of knots,” AWM Homotopy Theory Session, Joint Mathematics Meetings, San Antonio, January 2015.
“The first differential of a spectral sequence and finite type knot invariants,’ Georgia Topology Conference, University of Georgia - Athens, May 2010.