Results from REU 2008 -- REU 2010

Results from REU 2010: Geometry and Physics on Graphs

The NSF sponsored REU 2010 was held during June 14 -- August 6, 2010, with eight participants:

Nathan Fox (University of Minnesota), Casey Green (University of Rochester),
Richard Gustavson (Cornell University), Tejas Shah (Tufts University),
Meryl Spencer (Grinnell University), Joseph Thurman (Vanderbilt University),
Kelsey Watson (Valparaiso University), Elizabeth Wicks (University of Seattle).
In the below are some of the results that were obtained during the summer.
For more detailed information, please visit REU at Canisius WIKI page or the REU 2010 page.

List of Research Reports, Preprints, and Talk Slides

Spectra of Semidirect Products of Cyclic Groups (Talk Slides), by Nathan Fox
Spectra of Semidirect Products of Cyclic Groups (Paper), by Nathan Fox
Laplacians of Covering Complexes (Paper), by Richard Gustavson
Cyclic Cayley Graphs and their Characteristic Polynomials (Talk Slides), by Meryl Spencer
Kazhdan Groups and Graphs (Talk Slides), by Joseph Thurman
Calculating the Ihara Zeta function for PSL(2,Z_2ⁿ), by Casey Green, Elizabeth Wicks, and Stratos Prassidis

(*) Updates and additions will be reported here as they become available.

Results from REU 2009: Geometry and Physics on Graphs

The NSF sponsored REU 2009 was held during June 15 -- August 7, 2009, with eight participants:

Robert Abramovic (Johns Hopkins University), Greg Gauthier (Vanderbilt University),
Laura Janssen (University of Nebraska), Jonathan Jaquette (Swarthmore College),
Ann Johnston (Harvey Mudd College), Andrew Reynolds (University of California, Los Angeles),
Mollie Stein (Barnard College), Amelia Wallace (University of North Carolina).
In the below are some of the results that were obtained during the summer.
For more detailed information, please visit REU at Canisius WIKI page or the REU 2009 page.

List of Research Reports, Preprints, and Talk Slides

Talk Slides from Canisius-RIT Joint Conference (July 2009)

Harmonic Maps and the Dirichlet Problem, by Robert Abramovic
Graph Fortresses and Cheeger Values, by Greg Gauthier
Extensions of the Heisenberg Group, by Laura Janssen
Embeddings in Symbolic Dynamical Systems, by Jonathan Jaquette
C*-algebras of Graph Products, by Ann Johnston and Andrew Reynolds
Zeta Functions of Graph Covers, by Mollie Stein
Expander Graphs and Applications, by Amelia Wallace

Preprints

Graph Fortresses and Cheeger Values, by Greg Gauthier
Harmonic Maps on Cayley Graphs and Compactification, by Robert Abramovic
Existence of Topological Entropy Preserving Subsystems Weakly Embeddable in Symbolic Dynamical Systems, by Jonathan Jaquette
C*-algebras of Graph Products, by Ann Johnston and Andrew Reynolds
Extensions of the Heisenberg Group, by Laura Janssen

(*) Updates and additions will be reported here as they become available.

Results from REU 2008: Geometry and Physics on Graphs

The NSF sponsored REU 2008 was held during June 16 -- August 8, 2008, with eight participants:

Emily Bargar (University of Chicago), Ariel Binder (Williams College),
Vivian Healey (University of Notre Dame), Rachel Hunter (Cornell University),
Colin Klaus (Vanderbilt University), Brian Leary (Carnegie Mellon University),
Josh O'Rourke (Reed College), Gabrielle Paoletti (Canisius College).
In the below are some of the results that were obtained during the summer.
For more detailed information, please visit REU at Canisius WIKI page or the REU 2008 page.

List of Research Reports, Preprints, and Talk Slides

Box Products, Box Exponentials, Isospectrality and Graph Covering Maps, by Rachel Hunter
A Modification of the Penrose Aperiodic Tiling, by Vivian Healey
Groupoids and Caley Graphs, by Brian Leary
A study of Hitting Times for Undirected Cayley Graphs, by Ari Binder
Positive Recurrent Infinite Graphs, by Josh O'Rourke

(*) Updates and additions will be reported here as they become available.

For more information about Canisius REU activities (2005 -- 2010), please visit:

REU at Canisius WIKI page

For general information about the program (Application Procedures, Project Description, Contact Information, ..., please visit our official announcement page:

Geometry and Physics on Graphs (REU) homepage at Canisius College

Return to BJ Kahng's Home page

For comments or suggestions, please mail to: kahngb@canisius.edu