Research

I am a non-resident graduate student studying geometric topology with my advisor, Bruce Williams.  My dissertation research concerns certain spectrum-valued bivariant theories on finite groups and topological spaces as they relate to transfer maps in K-theory.


Seminars

• In 2005-2006, I organized the Departmental Topology Seminar.  It is now being run by Daniel Cibotaru. Talks are traditionally held on Tuesdays at 11am. See the site: http://nd.edu/~topology 
• I also organized GradTop: a seminar for graduate students at ND with interest in topology.  This year the seminar meets Tuesdays at 9am.
• I spoke at the Talbot workshop on Automorphisms of Manifolds, mentored by Michael Weiss.  Notre Dame also ran a Pre-Talbot Seminar before the conference.
• The archived site for the Notre Dame Topology Summer Seminar Series
  

Talks

• In February 2007, I visited The Colorado College and gave an undergraduate talk and a research talk for faculty.
  The undergraduate talk was “Hot Fudge on a Doughnut: Vector Fields on Surfaces and the Poincaré-Hopf Theorem.”   Abstract
  The research talk, “Transfer Maps in Algebraic K-theory,” introduced the subject matter of my thesis.   Abstract
• In September 2006, I gave a Graduate Student Seminar talk on "Simplicial Complexes, PL Manifolds, and the Hauptvermutung." The talk was a cursory introduction to the ideas studied at the Oberwolfach Mini-Workshop I attended in August. See the abstract posted on the department page.
• In August 2006, I participated in an Oberwolfach mini-workshop on "The Hauptvermutung for High-Dimensional Manifolds." Stacy Hoehn and I gave a talk on microbundles at the workshop (slides here). For more information on the meeting, see Andrew Ranicki's page on Hauptvermutung
  
• The talk I gave at the Talbot Workshop: "Waldhausen K-theory, Concordances, and the topological Whitehead Space." DVI
  
• I gave a talk outlining bivariant theories at the 2005 Graduate Student Topology conference.  For an idea, look at this.
• In 2005, I participated in a working seminar studying Hodge Theory through a paper of Deligne. Notes from all the talks and an overview are available at the web site.
• In March 2005 I gave a talk at the University of Denver on Oriented Matroids. Abstract
• In January 2005, I gave a Graduate Student Seminar talk, "For the Love of Manifolds" which featured a Top Ten list of things I like about geometric topology.  See what I came up with here and email me with any opinions.
  

Teaching

Teaching Portfolio Page
I am lecturing at the University of Denverthis year.
Previous classes I have taught:
In Fall 2006 I taught Math 20580-02, Introduction to Linear Algebra and Differential Equations. Course web site
In Spring 2005, Principles of Finite Mathematics (web site), in summer/fall 2004, Finite Mathematics (web site).

In Spring 2007 I was a TA for Math 20550, Calculus III for engineering and mathematics students. I was also a TA for Math 126 (Engineering Calc 2) and Math 228 (Linear Algebra and Differential Equations) here at Notre Dame. My primary responsibilities were to run tutorials and answer questions about homework exercises.


MGSA

The graduate students of the Mathematics department have a departmental organization, the Mathematics Graduate Student Association, called MGSA. The president for 2006-2007 is Christopher Porter and the treasurer is Sara Miller. I am currently serving as the Secretary.  The MGSA sponsors the Graduate Student Seminar series.

When we get a website together for the organization, its link will be HERE.

Links

My wacky math stuff page

About my name

I just got married!

Notre Dame Department of Mathematics



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