List of Publications

 Feel free to download any of the dvi files.

 

Publications:

  1. My dissertation, which contains the gory details on the calculation of the mod-2 cohomology of the Bianchi groups.

Chapter 1
Chapter 2
Chapter 3
Chapter 4

  1. On the K-Theory of Bianchi Groups, Boletín de la Sociedad Matemática Mexicana (3) Vol. 2, (1996), 15-29 (with D. Juan-Pineda)
  2. On the Mod 2 Cohomology of the Bianchi Groups, Transactions of the American Mathematical Society, Vol. 352, No. 10, (2000), 4585-4602: dvi
  3. The Farrell-Jones Isomorphism Conjecture for Finite Co-Volume Hyperbolic Actions and the Algebraic K-Theory of Bianchi Groups, Transactions of the American Mathematical Society, Vol. 352, No. 12, (2000), 5689-5702 (with T. Farrell, D. Juan-Pineda, K. Pearson): dvi
  4. The Lower Algebraic K-theory of Fuchsian groups," Commentarii Mathematici Helvetici 76, (2001), 339-352 (with D. Juan-Pineda, K. Pearson): dvi
  5. A Geometric Approach to the Lower Algebraic K-Theory of Fuchsian Groups, Topology and its Applications, 119 (2002), 269-277 (with D. Juan-Pineda, K. Pearson): dvi
  6. The Integral Cohomology of Bianchi Groups: dvi
  7. The n^3 Cubes Problem (a paper with REU students from 2004): dvi

Here are two Mathematica notebooks that we used during the proof of the problem:  Notebook1      Notebook2

Pedagogy:

  1. Here's a paper on using calculus to analyze the path of a train track, written with G. Kobylski and W. Farmer: Track Analysis