Education

 
 
 
Northwestern University Evanston, IL Ph.D. Mathematics,  2008
In my Ph.D. thesis, Topological splittings of spectra related to \(\mathrm{tmf}\), I give a conjecture regarding the splitting of the Tate spectrum of \(\mathrm{tmf}\) (the connective spectrum representing topological modular forms) at the prime 2.  The main theorem regards the splitting of the spectrum \(b\mathrm{o}\wedge\mathrm{tmf}\), which is analagous to the splitting \(b\mathrm{o}\wedge b\mathrm{o}\), into summands involving integral Brown-Gitler spectra.  I use this splitting to provide ample groundwork toward the proof of the conjecture.  Furthermore, my interests focused on applications of this splitting to give possible approaches to studying the, more complicated, structure of \(\mathrm{tmf}\wedge\mathrm{tmf}\) and stable cohomology operations of \(\mathrm{tmf}\).  My advisors were Paul Goerss and Mark Mahowald.
Cornell University Ithaca, NY B.A. Mathematics, 2002
As an undergraduate I worked with Robert S. Strichartz in studying the interior of the Levy Dragon fractal (see Publications), along with independent study with Kenneth S. Brown on random walks on hyperplane arrangements.
  • Graduated magna cum laude in Mathematics;
  • Received distinction in all subjects (Honors, School of Arts & Sciences);
  • Member of the National Society of Collegiate Scholars;
  • Member of the Golden Key National Honor Society.
Louisiana State University Baton Rouge, LA REU, 2001
I spent the summer of 2001 at the Research Experiences for Undergraduates (REU) program at LSU. While there, I worked with William Hoffman and Robert Perlis in a mixture of graph, group, and homology theories. At the end of the summer, I wrote a paper Graph Jacobians and Mackey Functors which will hopefully be submitted for publication in the near future (see Preprints).

 
 
 
 
 
 
 
 
 
 
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