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
    • Active mentor for undergraduate research
    • Series editor for Foundations for Undergraduate Research in Mathematics (FURM) book series
    • Volume editor for FURM Volume 1