Seminar Talks
Research Talks
- "A Lower Bound for the Number of Group Actions on a Compact Riemann Surface" Algebra and Number Theory Seminar, University of Arizona, October 2011
- "Quasiplatonic Cyclic p-gonal Surfaces" Riemann surfaces and Dessins d'Enfants, A Conference on the Occasion of Juergen Wolfart's 65th Birthday, CIEM, Castro Urdiales, Spain, May 2010.
- "Bounding the Number of Group Actions on a Surface of Fixed Genus," AMS Eastern Sectional Meeting, Pennsylvania State University, University Park, October 2009
- "Cyclic n-gonal Surfaces," (Invited) 25th Nordic and 1st British-Nordic Congress of Mathematicians, Oslo, Norway, June 2009
- "Bounding the number of topological group actions on a compact oriented surface," (Invited) Joint Mathematical Meeting, Washington D.C., January 2009
- "Topological and Conformal Group Actions on Compact Oriented Surfaces," (Invited) Southwestern Group Theory Day, University of Arizona, Tucson, Arizona, November 2008
- "Quasiplatonic Cyclic n-gonal Surfaces," (Invited) ICMS Workshop, Edinburgh, Scotland, September 2008
- "Finite Abelian Group Actions on Closed Oriented Surfaces," (Invited) Southampton University Mathematics Colloquium, May 2008
- "Extending Topological Group Actions to Conformal Group Actions" Oakland University, ACA Conference Session on "Computational Aspects of Algebraic Curves'', July 2007
- "The Full Automorphism Group of a Cyclic p-gonal Surface" AMS Western Sectional Meeting, University of Arizona, Tucson, April 2007
- "Determining defining equations for compact Riemann surfaces which admit non-trivial automorphisms," (Invited) Rice University Algebraic Geometry Seminar, October 2006
- "Automorphism Groups of Surfaces," Southern Oregon University, MAA Regional Meeting, June 2006
- "Finite Subgroups of the Mapping Class Group," (Invited) Oregon State University, Math Colloquium, June 2006
- "Classifying Belyi p-gonal Surfaces," (Invited) Computational Aspects of Algebraic Curves Conference, University of Idaho, May 2005
- "Multiple Prime Covers of the Riemann Sphere," (Invited) Colorado State University, Algebra Seminar, April 2005
- "Multiple Prime Covers of the Riemann Sphere," University of Arizona, Algebra and Number Theory Seminar, March 2005
- "Non-Normal Belyi p-gonal Surfaces," (Invited) California State University Chico, Special Seminar, February 2005
- "Non-Normal Belyi p-gonal Surfaces," (Invited) Cleveland State University, Special Seminar, February 2005
- "Counting Belyi Surfaces with many Automorphisms," AMS National Meeting, Atlanta, January 2005
- "Defining Algebraic Polynomials for Cyclic Prime Covers of the Riemann Sphere," (Invited) CUNY Graduate Center Complex Analysis Seminar, October 2004
- "Non-Normal Belyi p-gonal Surfaces," (Invited) Lamar University, ACA Conference Session on "Computational Aspects of Algebraic Curves'', July 2004
- "Counting Belyi Surfaces with many Automorphisms," (Invited) Lamar University, ACA Conference Young Investigators Session, July 2004
- "Non-Normal Belyi p-gonal Surfaces," University of Arizona, Algebra and Number Theory Seminar, Spring 2004
- "The Full Automorphism Group of the Fermat Curves," (Invited) University of North Carolina, AMS Southeastern Section Meeting, October 2003
- "The Full Automorphism Group of the Fermat Curves," University of Arizona, Number Theory Seminar, Fall 2003
- "Uniformization of the Fermat Curves," University of Arizona, Algebra and Number Theory Seminar, Spring 2003
Undergraduate Talks
- "Automorphisms of Surfaces," (Invited) Reed College Mathematics Colloquium, November 2011
- "Automorphisms of Surfaces," University of Portland Mathematics Colloquium, November 2011
- "Tilings of Surfaces," (Invited) Linfield College Science Colloquium, May 2008
- "Symmetries of Surfaces and Generating Sets for Groups," Willamette Valley REU Research Group Presentation, Willamette University, June 2007
- "Symmetries of Surfaces and Generating Sets for Groups," Rose Hulman Institute of Technology REU Colloquium, June 2007
- "Groups of Automorphisms of Compact Riemann Surfaces," University of Portland Math Colloquium, February 2007
- "Automorphism Groups of Surfaces," (Invited) Willamette University Math Colloquium, October 2006
- "The Poincare Conjecture," University of Portland, Math Colloquium, February 2006
- "To Tile or not to Tile, that is the Question," (Invited) University of Portland, Undergraduate Seminar, February 2005
- "To Tile or not to Tile, that is the Question," (Invited) California State University Chico, Undergraduate Seminar, February 2005
- "To Tile or not to Tile, that is the Question," Alfred University, Math Club Seminar, February 2005
Expository Talks
- Academic Jobs at Four Year Colleges: The How to Guide}, University of Arizona Mathematics Graduate Student Colloquium, October 2011
- "What is Mathematics?" University of Arizona, Graduate Student Colloquium, October 2004
- "Belyi Functions, Algebraic Curves, and the Grothendieck Correspondence," University of Arizona, Graduate Student Colloquium, November 2002
- "Grothendieck's Theory of Dessin's D'Enfants," University of Arizona, Graduate Student Colloquium, October 2002
- "Uniformisation and Its Applications," University of Arizona Graduate Student Colloqium, September 2002
- "Scott's Criterion and Group Generation," University of Arizona, Graduate Student Colloquium, October 2001
- "Uniformisation by Fuchsian Groups," University of Arizona Graduate Student Colloqium, April 2001
- "Groups of Automorphisms of Riemann Surfaces," University of Arizona Graduate Student Colloqium, September 2000
- "Infinite Galois Extensions and Profinite Groups," University of Arizona, Graduate Student Colloquium, January 2000
- "The Philosophy of Mathematics," University of Arizona, Graduate Student Colloquium, November 1999
- "Non-Standard Analysis," University of Arizona, Research Tutorial Group, April 1999