My main interests are Algebraic Geometry and Number Theory.
Theses
- Undergrad: The Prime Number Theorem
- Master: Rational Tetrahedra
Books I Currently Enjoy
- Algebraic Curves by R. Walker
- Basic Algebraic Geometry 1 by I. Shafarevich
- Complex Algebraic Surfaces by A. Beauville
- Algebraic Geometry by J. Harris
Some Documents I Have Written:
- 2008: The Topology of Curves
- 2008: Parameter Spaces of Curves and hypersurfaces
- 2006: Defining the Integers Inside the Rational Number Field (Spanish)
Slides
- Lines on Cubic Surfaces
- Ordinals and Cardinals Part I Part II
- Ranks of Quadratic Twists of Elliptic Curves
- Defining the Integers inside the Rational Numbers (Spanish)
More information about my mathematical background and teaching experience can be found in my CV, available by request.