Scholarly Work

Scholarly Goals

Deriving and disseminating original mathematical theory in:

Complex Algebraic Geometry

Algebraic Models for Riemann Surfaces

Belyi Surfaces and Dessins D'Enfants

Automorphism Groups of Compact Riemann Surfaces

Group Theory

Finite Groups (Group Actions and Structure Theory)

Finitely Presented Groups

Geometric Group Theory

Discrete Groups (Fuchsian Groups and Fundamental Groups)

Mapping Class Groups of Compact Connected Surfaces
You can see a complete list of all my refereed papers on MathSciNet .
Preparing the next generation of mathematicians, scientists, and engineers through:

Authoring and promoting innovative educational resources in mathematics

Collaborator of textbooks and companion materials as a member of the Mathematics Consortium Working Group

Author of undergraduate text in Cryptography (available to students enrolled students through LEARNING@UP)

Advocating, direction, administering and authoring undergraduate research
More details on each of these goals can be found on my CV.