talks with abstracts (and slides), posters

• "Introduction to Computational Algebraic Geometry". UIC ASCEND Workshops, 24 July 2008. slides of the talk

• "Polynomial Continuation for Singular Solutions". ICCAM 2008 International Congress on Computational and Applied Mathematics, University of Ghent, Belgium, 7-11 July 2008. slides of the talk

• "Numerical Computations in Algebraic Geometry". AMS MRC Computational Algebra and Convexity, Snowbird, Utah, 21-27 June 2008. slides of the talk

• "Certificates in Numerical Algebraic Geometry". FoCM 2008 - Real Number Complexity Workshop, City University of Hong Kong, 16-18 June 2008. slides of the talk

• "Parallel Implementation of a Subsystem-by-Subsystem solver". HPCS 2008 - High Performance Computing Symposium. Université Laval, Québec City, 8-11 June 2008. slides of the talk

• "Toolboxes and Blackboxes for Solving Polynomial Systems". Interactions between Classical and Numerical Algebraic Geometry. A conference in honor of Andrew J. Sommese. University of Notre Dame, 22-24 May 2008. slides of the talk

• "Tropical Algebraic Geometry in Maple". MICA 2008 -- Milestones in Computer Algebra. A conference in honour of Keith Geddes' 60th Birthday. Stonehaven Bay, Trinidad and Tobago, 1-3 May 2008. slides of the talk

• "Parallel Implementation of a Subsystem-by-Subsystem Solver". MACIS 2007 -- International Conference on Mathematical Aspects of Computer and Information Sciences. Paris, France, December 5-7, 2007. slides of the talk

• Numerical Algebraic Geometry. Poster presented at the NSF CDI workshop, October 30-31, 2007.

• "Overview of Numerical Algebraic Geometry". Applications of Computer Algebra (ACA'07). Oakland University, Rochester, MI, 19-22 July 2007. slides of the talk

• "Solving Polynomial Systems by Polyhedral Homotopies". The Zero Problem: Theory and Applications. Korea Institute for Advanced Study, 19-21 July 2007. slides of the talk

• "PHCpack: a software library for Polynomial Homotopy Continuation". Maplesoft, 10 May 2007. slides of the talk

• "Numerical Homotopy Algorithms for Enumerative Geometry". Schubert Calculus and Schubert Geometry, Banff International Research Station, 18-23 March 2007. slides of the talk

• "Solving Polynomial Systems using PHCpack". Geometry of Mechanism Science (GeMS'07). University of Notre Dame, 1-3 March 2007. slides of the talk

• "Parallel Homotopy Algorithms to Solve Polynomial Systems". Interactive Parallel Computation in Support of Research in Algebra, Geometry and Number Theory. MSRI, 29 January - 2 February 2007. slides of the talk

• "Solving Polynomial Systems using Numerical Homotopies". Graduate Colloquium at the University of Minnesota at Duluth, 9 November 2006. slides of the talk

• "Polyhedral Homotopy Methods to Solve Polynomial Systems". IMA PostDoc seminar, 31 October 2006. slides of the talk

• "PHCpack: a Software Platform for Numerical Algebraic Geometry". Software for Algebraic Geometry, Institute for Mathematics and its Applications, 23-27 October 2006. slides of the talk

• "Parallel Homotopy Algorithms to Solve Polynomial Systems". 2nd International Congress on Mathematical Software (ICMS'06), Castro Urdiales, Spain, 1-3 September 2006. slides of the talk

• "Parallel Numerical Irreducible Decomposition". Computational Complexity of Polynomial Factorization, American Institute of Mathematics, 15-19 May 2006. slides of the talk

• "Computing Singularities using Newton's method with Deflation". CAM colloquium, University of Notre Dame, 10 April 2006. slides of the talk

• "Parallel Homotopy Algorithms to Solve Polynomial Systems". AMS special session on Numerical Solution of Polynomial Systems, University of Notre Dame, 8-9 April 2006. slides of the talk

• "Parallel Algorithms for a Numerical Irreducible Decomposition". The Midwest Algebra, Geometry, and their Interactions Conference (MAGIC'05), University of Notre Dame, 8-11 October 2005. slides of the talk

• "Deflating Isolated Singularities by Newton's Method". Workshop on Geometry and Symmetry in Numerical Computation in honor of Gene Allgower's 70th Birthday, August 8-10, 2005. Colorado State University, Fort Collins, Colorado. slides of the talk

• "Homotopy Methods for Solving Polynomial Systems". Tutorial at ISSAC 2005, Beijing, China, 24 July 2005.

• "Introduction to Symbolic Computation: a Maple/MATLAB Course". Maple Conference 2005. Wilfrid Laurier University, Waterloo Ontario, Canada. 17-21 July 2005. slides of the talk

• "Software for Symbolic-Numeric Solutions of Polynomial Systems". Real Number Complexity Workshop, FoCM'05, Universidad de Cantabria, Santander, Spain, 7-9 July 2005. slides of the talk

• "Factoring Solution Sets of Polynomial Systems in Parallel". The 7th Workshop on High Performance Scientific and Engineering Computing (HPSEC-05), Oslo, Norway, 14-17 June 2005. slides of the talk

• "Computing Isolated Singular Solutions of Polynomial Systems using Newton's Method with Deflation". NCTS International Symposium on Dynamical Systems and Numerical Analysis in honor of Tien-Yien Li's 60th Birthday, May 10-12, 2005, National Center for Theoretical Sciences Mathematics Division, Taiwan. slides of the talk

• "Solving Polynomial Systems". Graduate Student Colloquium at UIC, 11 March 2005. slides of the talk

• "Solving Polynomial Systems by Diagonal Homotopies". LNF'04, 1-3 December 2004, Toulouse, France.

• Poster: "Newton's Method with Deflation for Isolated Singularities". with Ailing Zhao. Poster abstract. ISSAC 2004, July 4-7, University of Cantabria, Santander, Spain.

• "Numerical Algebraic Geometry and Symbolic Computation". ISSAC 2004, July 4-7, University of Cantabria, Santander, Spain. pdf file of slides

• "Numerical Decomposition of the Intersection of Algebraic Varieties". Dagstuhl-Seminar 04061 on Real Computation and Complexity, 1-6 February 2004. slides of the talk

• "Numerical homotopies to intersect solution sets of polynomial systems". UIC Mathematics and Its Applications Seminar, 28 January 2004.

• "The Numerical Solution of Polynomial Systems arising in Engineering and Science". Graduate Student Seminar at UIC, 5 September 2003. slides of the talk

• Four lectures at the CIMPA Summer School on "Systems of polynomial equations: from algebraic geometry to industrial applications" in Buenos Aires, Argentina. Slides in pdf format:
  1. "Polynomial Homotopy Continuation", 21 July 2003.
  2. "Polyhedral Homotopies", 22 July 2003.
  3. "Homotopies for Solution Components", 23 July 2003.
  4. "Numerical Irreducible Decomposition", 24 July 2003.

• "Symbolic-Numeric Computing in Algebraic Geometry". University of Western Ontario, London, Canada, 18 July 2003. slides of the talk

• Two lectures at the RAAG Summer School on Computer Tools for Real Algebraic Geometry, Monday 30 June - Saturday 5 July 2003, Rennes, France:
  1. "Approximating all isolated solutions to polynomial systems using homotopy continuation methods" Monday 30 June 2003. slides of the talk and exercises for part I
  2. "Homotopies for positive dimensional solution components of polynomial systems" Tuesday 1 July 2003. slides of the talk and exercises for part II

• "Software for Numerical Algebraic Geometry", Session on Numerical Polynomial Algebra at the First Joint Meeting of CAIMS & SIAM, 24th Annual Meeting of CAIMS/SCMAI, 16-20 June 2003, Montreal, Canada. slides of the talk

• "Numerical Homotopies for Decomposing Solution Sets of Polynomial Systems". Liens calcul formel-calcul numerique, 4-6 December 2002, Toulouse, France. slides of the talk

• "Software for numerical irreducible decomposition". Computational Algebraic Geometry workshop, 8-10 August 2002, Foundations on Computational Mathematics, Minneapolis. slides of the talk

• "Symmetric Functions Applied to Decomposing Solution Sets of Polynomial Systems", at the conference on Symbolic Computational Algebra, University of Western Ontario, July 15-19, 2002.

• "Polynomial Homotopy Continuation: Software and Applications" on 21 May 2002, during the CBMS Lectures Series at Texas A&M University on "Solving systems of polynomial equations" by Bernd Sturmfels.

• "Polyhedral Methods to Solve Sparse Polynomial Systems" on 11 April 2002, Johns Hopkins Random Talks Seminar.

• "Decomposing solution sets of polynomial systems with homotopies applied to the geometric completion of DAEs" on 23 January 2002, UIC MSCS Mathematics and Applications Seminar.

• "Numerical Irreducible Decomposition using PHCpack" on 18 October 2001, Dagstuhl-Seminar 01421 on "Integration of Algebra and Geometry Software Systems", 14-19 October 2001, Schloss Dagstuhl, Wadern, Germany.

• "Decomposing Solution Sets of Polynomial Systems with Homotopies" on 8 June 2001, Joint SCL/SGL Seminar at University of Waterloo.

• "Using Monodromy to decompose Solution Sets of Polynomial Systems into Irreducible Components" on 28 April 2001, Special Session on Computational Algebraic Geometry and Its Applications, AMS Meeting at Stevens Institute of Technology, Hoboken, New Jersey, 28-29 April 2001.

• "Symbolic-Numeric Algebraic Geometry: the Decomposition Problem" on 2 April 2001, UIC MSCS department colloquium.

• "Monodromy and Irreducible Decomposition" on 7 March 2001, UIC algebraic geometry seminar.

• "numerical Schubert calculus" on 30 August 2000, UIC algebraic geometry seminar.

• "The Pieri homotopy algorithm for solving the pole placement problem in the control of linear systems" on 18 July 2000, workshop on "Algorithms, Computational Complexity, and Models of Computation for Nonlinear and Multivariate Problems", July 16-20, Mt Holyoke College.

• "Numerical Decomposition of the Solution Sets of Polynomial Systems into Irreducible Components" on 13 June 2000, workshop on "Symbolic Computation: Solving Equations in Algebra, Geometry and Engineering", June 11-15, Mt Holyoke College.