Eric Katerman
RLM 11.108
UT-Austin
Teaching:
- M427L Honors: Vector Calculus (Fall 2004)
- M427K Honors: Diff. Eq. with Linear Algebra (Spring 2005)
- M210E: Emerging Scholars Seminar (Fall 2006)
- M408L: Integral Calculus (Spring 2007)
- M305G: Pre-Calculus (Fall 2008)
- M427K: Differential Equations (Spring 2009)
Selected Talks:
- The DeRham Cohomology of the 2-Torus (Fall 2001)
- Interval Algebra and Analysis Applied to Topology (10/24/03)
- Proofs Involving Horror Balls! (10/29/03)
- The Homology of Groups (3/24/04)
- An Introduction to Automatic Groups (11/3/04)
- Disks in the Heisenberg Group (4/6/05)
- Words in SL(n,Z) (5/9/05)
- Words in the Symplectic Group (9/28/05)
- Arithmetic Combinatorics seminar (Summer 2006)
- Growth in Groups of Prime Order (11/29/06)
- Khovanov-Rozansky Homology (1/14/07)
- Arithmetic progressions in the primes (3/30/07)
- Extensions, Separability, and Property LR (4/4/07)
- Property tau and some virtual conjectures (10/17/07)
- Cubed Complexes and Surface Subgroups (3/5/08)
- Lifts of Curves and Covers of Surfaces (10/1/08)
- Proof by Pictures: A Tour through Visual Mathematics (2/4/09)
- Categories for the Working Topology Student (4/8/09)
- Moving Through Space with Geometric Algebras (4/19/09)
- Dualizable Objects in Symmetric Monoidal Categories (10/14/09)
Papers:
- Singular Maps of Surfaces into Hyperbolic 3-Manifolds (undergraduate thesis)
- The DeRham Cohomology of the Rectangular 2-Torus
- Cleanliness of geodesics in hyperbolic 3-manifolds. (with Adams, C.; Colestock, A.; Fowler, J.; Gillam, W.) Pacific J. Math. 213 (2004), no. 2, 201--211.
- Cusp size bounds from singular surfaces in hyperbolic 3-manifolds. (with Adams, C.; Colestock, A.; Fowler, J.; Gillam, W.) Trans. Amer. Math. Soc. 358 (2006), no. 2, 727--741 (electronic).
Notes:
- Character Varieties (course by Alan Reid, typeset with the help of Eric Chesebro and Jason Callahan)