Selected Talks
- Optimizing Algorithms and Code for Data Locality and Parallelism: A SHARCNET Tutorial.
SHARCNET Summer Seminar, London, Ontario, August 3, 2011
- Optimizing FFT-based Polynomial Arithmetic for Data Locality and Parallelism.
MaGiX@LIX Workshop, Ecole Polytechnique, Palaiseau, France, September 20, 2011.
- Semi-algebraic description of the equilibria of dynamical systems.
CASC 2011, Kassel Germany, September 7, 2011.
- Exact Computation of the Real Solutions of Arbitrary Polynomial Systems.
ICIAM 2011, Computer Algebra Mini-symposium, Vancouver BC, July 18, 2011.
-
Computing the real solutions of polynomial systems with the RegularChains library in Maple.
Here's the
worksheet (with output) and the
ISSAC 2011 Distinguished Software Presentation Award.
- Fundamental Algorithms and Implementation Techniques for Computing with Regular Chains.
Summer School of Symbolic Computation, Chengdu, China, August 12, 2009.
- Computations Modulo Regular Chains
ISSAC'09, Seoul, Korea, July 29, 2009.
- Computing
Cylindrical Algebraic Decomposition via Triangular
Decomposition.
ISSAC'09, Seoul, Korea, July 29, 2009.
- FFT-based Dense Polynomial Arithmetic on Multi-cores.
ACA'09, Montréal, June 26, 2009.
- Balanced Dense Polynomial Multiplication on Multicores.
ACA'09, Montréal, June 26, 2009.
- Solving Parametric Polynomial Systems with the RegularChains Library in Maple.
ACA'09, Montréal, June 25, 2009.
- Differential Algebra, Regular Chains and Modeling.
ACA'09, Montréal, June 25, 2009.
- Triangular Decomposition of Polynomial Systems:
Algorithmic Advances and Remaining Challenges.
International Conference on Mathematics Mechanization'09
In honor of Prof. Wu Wen-Tsün, Beijing, China, May 13, 2009.
- Computing with Constructible Sets.
MOCAA M3 Workshop, Lodon, Ontario, May 9, 2008.
- When
does 〈T〉 Equal sat(T)?
MOCAA M3 Workshop, Lodon, Ontario, May 9, 2008.
- Component-level Parallelization of Triangular Decompositions.
Interactive Parallel Computation in Support of Research in Algebra,
Geometry and Number Theory
MSRI Workshop 2007, Berkeley, February 1, 2007.
- Parallelization of Triangular Decompositions.
SHARCNET Fall Workshop 2006, Waterloo, Canada, November, 2006.
- AXIOM: Generic, Open, Powerful
International Congress on Mathematical Software, Castro Urdiales, Spain, 2006.
- Triangular Decompositions of Polynomial Systems: From Theory to Practice.
Tutorial at ISSAC'06, Genoa, Italy, 9 July 2006.
- Bounds and Algorithms in Differential Alegbra:the Ordinary Case.
Dagstuhl Seminar,Dagstuhl, Germany, July, 2006.
- Solving Polynomial Systems Symbolically and in Parallel.
MITACS - CAIMS Meeting, Toronto, Canada, June 18, 2006.
- Some Recipes for Handling Large Expressions in Polynomial System Solving.
ACA'05.
- On the Complexity of the D5 Principle.
CMS Meeting 2005.
- Lifting Techniques for Triangular Decompositions.
MOCCA'05.
- On Polynomial Gcds over Direct Products of Fields Given by Towers of Simple Extensions.
MOCCA'04.
- Generic Modular Computations in Aldor.
CATLAN'04.
- Solving Systems of Algebraic Equations with AXIOM.
ACA'04.
- Dr Modular or How I Learned to Stop Worrying and Love Symbolics.
ACA'03.
- Recent Advances on Regular Chains.
SCA'02.
- Computation of Canonical Forms for Ternary Cubics.
ISSAC'02.
- Around the StandardMath Library.
CATLAN'01.
- Integrable (systems of) PDEs and Solitons.
ISSAC'01.
- On Triangular Decompositions of Algebraic Varieties.
MEGA 2000.
- Design of Nonseparable Bidimensional Wavelets and Filter Banks using Gröbner Bases and Triangualr Systems.
FRISCO'97.
- On the Theories of Triangular Sets.
Seminar talk at the University of Santander, 1998.
- PhD Defence.
University Paris 6, June 1997.