I am interested in algebraic topology, algebraic geometry, and number theory. I have worked on two projects concurrently while in graduate school; my thesis studies cohomological obstructions to the existence of sections of the map on étale fundamental groups induced from the structure map of a curve over a number field. My other project is in collaboration with Ravi Vakil. We have developed a fundamental group scheme.

Primary Publications:

• Kirsten Wickelgren, Lower Central Series Obstructions to Homotopy Sections of Curves over Number Fields, last modified: July 21, 2009.

• Ravi Vakil and Kirsten Wickelgren, Universal Covering Spaces and Fundamental Groups in Algebraic Geometry as Schemes, last modified: June 27, 2009.

Secondary Publications:

• Sarah Iams, Brian Katz, Cesar E. Silva, Brian Street, and Kirsten Wickelgren On Weakly Mixing and Doubly Ergodic Nonsingular Actions, Colloq. Math 103 (2005), no. 2, 247-264.
  
  (From the SMALL Research Experience for Undergraduates at Williams College.)

Please see my CV for a list of my teaching experience. Additionally, here is the fall 2008 website for the linear algebra and differential multivariable calculus course, Math 51, that I was a teaching assistant for in the fall of 2007.