MATHEMATICS
line decor
 
line decor
 
 
 
 
 
 
PROJECTS

>Frontiers of Reality in Schubert Calculus
>Galois Groups of Schubert Problems
>Generalization of the Buchberger Graph (w/ Javier Elizondo and Francisco X. Portillo)


PUBLICATIONS
2. (w/ Chris Hillar) Finiteness theorems for chains of toric ideals  [In Preparation]

1. (w/ C. Hillar, L. García-Puente, J. Ruffo, Z. Teitler, S. Johnson and F. Sottile) Experimentation at the Frontiers of Reality in Schubert Calculus [Submitted] ArXiv PDF


TALKS
> "Finiteness theorems for chains of toric ideals" - AMS Special Session: Applicable Algebraic Geometry. Baylor University. October 17, 2009. Abstract Slides
> "Finiteness theorems for chains of toric ideals" - Algebraic Geometry Seminar. TAMU. October 12, 2009. Abstract
>"Syzygies and Planar Graph Resolutions" - Graduate Student Seminar. TAMU. 28 February 2008. Abstract Slides LaTeX


THESES

> Optimization of the Buchberger Algorithm by Planar Resolutions. (in Spanish) Master Thesis directed by Javier Elizondo Huerta, Instituto de Matemáticas, UNAM.

>Riemann-Roch Theorem. (in Spanish) Undergraduate Thesis directed by Javier Elizondo Huerta, UNAM.


CODE
In my work I use the following mathematical software: I also have some experience (quite small) programming in the following languages:
  • PHP
  • MySQL
  • Perl
  • Bash / Shell script
 
 

WEEKLY SCHEDULE
Here is my typical weekly schedule.



FRANK SOTTILE
My advisor's site.

SEMINARS:
> Graduate Students Seminar
>Algebra and Combinatorics Seminar
>Algebraic Geometry Seminar

EVENTS:
>AMS Special Sesion: Applicable Algebraic Geometry: Balyor U. Waco, TX. October 16-18, 2009.
>AIM Workshop: Implementing algebraic geometry algorithms Palo Alto, CA. October 26-30, 2009.
>Oberwolfach Seminar: New Trends in Algorithms for Real Algebraic Geometry. Mathematisches Forschungsinstitut Oberwolfach, Nov. 22-28, 2009.