Seminar Talks

Research Talks

  1. "Bounding the Number of Group Actions on a Surface of Fixed Genus," AMS Eastern Sectional Meeting, Pennsylvania State University, University Park, October 2009
  2. "Cyclic n-gonal Surfaces," (Invited) 25th Nordic and 1st British-Nordic Congress of Mathematicians, Oslo, Norway, June 2009
  3. "Bounding the number of topological group actions on a compact oriented surface," (Invited) Joint Mathematical Meeting, Washington D.C., January 2009
  4. "Topological and Conformal Group Actions on Compact Oriented Surfaces," (Invited) Southwestern Group Theory Day, University of Arizona, Tucson, Arizona, November 2008
  5. "Quasiplatonic Cyclic n-gonal Surfaces," (Invited) ICMS Workshop, Edinburgh, Scotland, September 2008
  6. "Finite Abelian Group Actions on Closed Oriented Surfaces," (Invited) Southampton University Mathematics Colloquium, May 2008
  7. "Extending Topological Group Actions to Conformal Group Actions" Oakland University, ACA Conference Session on "Computational Aspects of Algebraic Curves'', July 2007
  8. "The Full Automorphism Group of a Cyclic p-gonal Surface" AMS Western Sectional Meeting, University of Arizona, Tucson, April 2007
  9. "Determining defining equations for compact Riemann surfaces which admit non-trivial automorphisms," (Invited) Rice University Algebraic Geometry Seminar, October 2006
  10. "Automorphism Groups of Surfaces," Southern Oregon University, MAA Regional Meeting, June 2006
  11. "Finite Subgroups of the Mapping Class Group," (Invited) Oregon State University, Math Colloquium, June 2006
  12. "Classifying Belyi p-gonal Surfaces," (Invited) Computational Aspects of Algebraic Curves Conference, University of Idaho, May 2005
  13. "Multiple Prime Covers of the Riemann Sphere," (Invited) Colorado State University, Algebra Seminar, April 2005
  14. "Multiple Prime Covers of the Riemann Sphere," University of Arizona, Algebra and Number Theory Seminar, March 2005
  15. "Non-Normal Belyi p-gonal Surfaces," (Invited) California State University Chico, Special Seminar, February 2005
  16. "Non-Normal Belyi p-gonal Surfaces," (Invited) Cleveland State University, Special Seminar, February 2005
  17. "Counting Belyi Surfaces with many Automorphisms," AMS National Meeting, Atlanta, January 2005
  18. "Defining Algebraic Polynomials for Cyclic Prime Covers of the Riemann Sphere," (Invited) CUNY Graduate Center Complex Analysis Seminar, October 2004
  19. "Non-Normal Belyi p-gonal Surfaces," (Invited) Lamar University, ACA Conference Session on "Computational Aspects of Algebraic Curves'', July 2004
  20. "Counting Belyi Surfaces with many Automorphisms," (Invited) Lamar University, ACA Conference Young Investigators Session, July 2004
  21. "Non-Normal Belyi p-gonal Surfaces," University of Arizona, Algebra and Number Theory Seminar, Spring 2004
  22. "The Full Automorphism Group of the Fermat Curves," (Invited) University of North Carolina, AMS Southeastern Section Meeting, October 2003
  23. "The Full Automorphism Group of the Fermat Curves," University of Arizona, Number Theory Seminar, Fall 2003
  24. "Uniformization of the Fermat Curves," University of Arizona, Algebra and Number Theory Seminar, Spring 2003

Undergraduate Talks

  1. "Tilings of Surfaces," (Invited) Linfield College Science Colloquium, May 2008
  2. "Symmetries of Surfaces and Generating Sets for Groups," Willamette Valley REU Research Group Presentation, Willamette University, June 2007
  3. "Symmetries of Surfaces and Generating Sets for Groups," Rose Hulman Institute of Technology REU Colloquium, June 2007
  4. "Groups of Automorphisms of Compact Riemann Surfaces," University of Portland Math Colloquium, February 2007
  5. "Automorphism Groups of Surfaces," (Invited) Willamette University Math Colloquium, October 2006
  6. "The Poincare Conjecture," University of Portland, Math Colloquium, February 2006
  7. "To Tile or not to Tile, that is the Question," (Invited) University of Portland, Undergraduate Seminar, February 2005
  8. "To Tile or not to Tile, that is the Question," (Invited) California State University Chico, Undergraduate Seminar, February 2005
  9. "To Tile or not to Tile, that is the Question," Alfred University, Math Club Seminar, February 2005

Expository Talks

  1. "What is Mathematics?" University of Arizona, Graduate Student Colloquium, October 2004
  2. "Belyi Functions, Algebraic Curves, and the Grothendieck Correspondence," University of Arizona, Graduate Student Colloquium, November 2002
  3. "Grothendieck's Theory of Dessin's D'Enfants," University of Arizona, Graduate Student Colloquium, October 2002
  4. "Uniformisation and Its Applications," University of Arizona Graduate Student Colloqium, September 2002
  5. "Scott's Criterion and Group Generation," University of Arizona, Graduate Student Colloquium, October 2001
  6. "Uniformisation by Fuchsian Groups," University of Arizona Graduate Student Colloqium, April 2001
  7. "Groups of Automorphisms of Riemann Surfaces," University of Arizona Graduate Student Colloqium, September 2000
  8. "Infinite Galois Extensions and Profinite Groups," University of Arizona, Graduate Student Colloquium, January 2000
  9. "The Philosophy of Mathematics," University of Arizona, Graduate Student Colloquium, November 1999
  10. "Non-Standard Analysis," University of Arizona, Research Tutorial Group, April 1999