My main interests are Algebraic Geometry and Number Theory.
Theses
- Undergrad: The Prime Number Theorem
- Master: Rational Tetrahedra
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)
Recent Programs:
- 2009:
PerturbedKeplerOrbitSimulator
Written in Python, uses Pylab. It simulates the trajectory of a massless particle under the simultaneous influence a sun and a planet revolving around the sun.
Slides
- The Math Behind Escher's Print Gallery
- 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.