talks with abstracts (and slides), posters

• Multiword Arithmetic and Parallel Computing. Ada devroom, FOSDEM 2025, 2 February, Brussels, Belgium. slides of the talk. Link to FOSDEM 2025 recording

• Algebraic Representations for Faster Predictions in Convolutional Neural Networks. The 26th Workshop on Computer Algebra in Scientific Computing, 2-6 September 2024, Rennes, France. slides of the talk.

• GPU Accelerated Newton for Taylor Series Solutions of Polynomial Homotopies in Multiple Double Precision. The 26th Workshop on Computer Algebra in Scientific Computing, 2-6 September 2024, Rennes, France. slides of the talk.

• Computing Nearest Singularities and Solutions of Polynomial Systems. 2024 SIAM Conference on Applied Linear Algebra, CP10 Randomized Methods and Polynomial Systems, 17 May 2024, Paris, France. slides of the talk.

• GPU Accelerated Newton for Taylor Series Solutions of Polynomial Homotopies in Multiple Double Precision. 2024 SIAM Conference on Parallel Processsing for Scientific Computing, CP6 Performance and Scalability, 6 March 2024, Baltimore, MD. slides of the talk.

• Avoiding and Computing Singularities in Polynomial Homotopy Continuation. Symbolic-Numeric Computing Seminar (online), 6 November 2023 slides of the talk.

• Extrapolating Towards Singular Solutions of Polynomial Homotopies. Computational and Applied Mathematics 2023, a workshop in honor of Marc Van Barel, 29 August - 1 September 2023. Hotel Sierra Silvana, Selva di Fasano, Italy. slides of the talk.

• Newton's Method to Compute Taylor Series in Multiple Double Precision Accelerated by Graphics Processing Units. SIAM Computational Science and Engineering. Minisymposium on Co-Design for Heterogeneous System Architectures. 28 February, Amsterdam, The Netherlands. slides of the talk.

• Multiple Double Arithmetic on Graphics Processing Units. HPC devroom, FOSDEM 2023, 5 February, Brussels, Belgium. slides of the talk. Link to FOSDEM 2023 recording

• Extrapolating Towards Singular Solutions of Polynomial Homotopies. Joint Mathematical Meetings 2023, 6 January, Boston, MA. slides of the talk. Prerecording: youtube link

• Computing Power Series accurately by Graphics Processing Units. Joint Mathematical Meetings 2023, 4 January, Boston, MA. slides of the talk. Prerecording: youtube link

• Least Squares on GPUs in Multiple Double Precision. PDSEC 2022, 3 June, online. slides of the talk. Prerecording: youtube link

• Locating the Closest Singularity in a Polynomial Homotopy. AMS Special Session on Optimization, Complexity, and Real Algebraic Geometry, 27 March 2022, online. slides of the talk. Prerecording: youtube link

• QR decomposition on GPUs in multiple double precision. SIAM Parallel Processing 2022, 25 February 2022, online. slides of the talk

• Exporting Ada software to Python and Julia. FOSDEM 2022 Ada Devroom, 6 February 2022, online. slides of the talk Link to FOSDEM 2022 recording

• Least Squares on GPUs in Multiple Double Precision. Online AriC Seminar (ENS Lyon, France), 18 November 2021. slides of the talk

• New Trends in Polynomial Homotopy Continuation. SIAM 2021 Conference on Applied Algebraic Geometry, Minisymposium on New Trends on Polynomial System Solving, 18 August 2021, online. slides of the talk. Prerecording: youtube link

• Programming Shared Memory Computers. Ada Europe 2021 Tutorial, 7 June, online. slides of the tutorial

• Accelerated Polynomial Evaluation and Differentiation at Power Series in Multiple Double Precision. PDSEC 2021, 21 May, online. slides of the talk. Prerecording: youtube link

• Parallel Multiple Double Precision to Solve Polynomial Systems. HILT 2020, 16 November, Chicago, IL (online). slides of the talk

• Robust Numerical Tracking of One Path of a Polynomial Homotopy on Parallel Shared Memory Computers. CASC 2020, 16 September, Linz, Austria (online). slides of the talk

• Writing Shared Memory Parallel Programs in Ada ( multitasked Newton's method for power series ). Ada devroom, FOSDEM 2020, 1 February, Brussels, Belgium. slides of the talk. Recording: youtube link

• Parallel Polynomial Homotopy Continuation. International Congress on Industrial and Applied Mathematics, minisymposium on Solving Multidimensional Polynomial Systems Numerically, 17 July 2019, Valencia, Spain slides of the talk

• Solving Polynomial Systems with phcpy. Poster presented at the SciPy 2019 conference, Austin, Texas, 10-12 July 2019.

• Robust Numerical Path Tracking for Polynomial Homotopies. Structured Matrix Days, 23-24 May 2019, Limoges, France slides of the talk

• Solving Polynomial Systems in Python -- phcpy: a scripting interface for PHCpack. Python devroom, FOSDEM 2019, 3 February, Brussels, Belgium slides of the talk. Recording: youtube link

• Controlling the Execution of Parallel Programs in Ada. Ada devroom, FOSDEM 2019, 2 February, Brussels, Belgium slides of the talk

• Solving Polynomial Systems by Homotopy Continuation Methods. NUMA Seminar, 1 February 2019, K.U. Leuven, Belgium slides of the talk

• A Blackbox Polynomial System Solver on Parallel Shared Memory Computers. CASC 2018, 17-21 September, Lille, France. slides of the talk

• Solving Polynomial Systems with PHCpack and phcpy. Poster presented at the 2018 NSF SI2 PI workshop, The Westin Washington, D.C. City Center, 30 April-1 May 2018.

• Shared Memory Parallelism in Ada: Load Balancing by Work Stealing. Ada devroom, FOSDEM 2018, 3 February, Brussels, Belgium. slides of the talk

• Polyhedral Methods to Solve Polynomial Systems I: computing pure dimensional solution sets. Tropical Algebra and Applications workshop, Institut Mittag-Leffler, 22-26 January 2018, Djursholm, Sweden. slides of the talk

• Polyhedral Methods to Solve Polynomial Systems II: computing mixed dimensional solution sets. Tropical Algebra and Applications workshop, Institut Mittag-Leffler, 22-26 January 2018, Djursholm, Sweden. slides of the talk

• The Method of Gauss-Newton to Compute Power Series Solutions of Polynomial Homotopies. Workshop on differential algebra and polynomial system solving, 22 September 2017, Beijing, China.

• Numerical Algebraic Geometry in the Cloud 1. Tutorial at CASC 2017, 18 September 2017, Beijing, China. slides of the talk

• Numerical Algebraic Geometry in the Cloud 2. Tutorial at CASC 2017, 18 September 2017, Beijing, China. slides of the talk

• Computing Tropical Prevarieties in Parallel. The 8th International Workshop on Parallel Symbolic Computation, 23-24 July 2017, Kaiserslautern, Germany. slides of the talk

• Overdetermined Polynomial Homotopies. The 20th conference of the International Linear Algebra Society, 11-15 July 2016, Leuven, Belgium. slides of the talk

• GPU Acceleration of Polynomial Homotopy Continuation. The SIAM conference on Parallel Processing for Scientific Computing, Universite Pierre et Marie Curie, Paris, France, 12-15 April 2016. slides of the talk

• Heterogeneous Parallel Computing with Ada Tasking. Ada devroom, FOSDEM 2016, 30 January, Brussels, Belgium. slides of the talk

• Solving Polynomial Systems in the Cloud with Polynomial Homotopy Continuation. The 17th Workshop on Computer Algebra in Scientific Computing, 14-18 September 2015, RWTH Aachen University, Aachen, Germany. slides of the talk

• Solving Polynomial Systems in the Cloud with Polynomial Homotopy Continuation. Algebraic Statistics Seminar, Illinois Institute of Technology, 8 September 2015, Chicago. slides of the talk

• Tracking Many Solution Paths of a Polynomial Homotopy on a Graphics Processing Unit in Double Double and Quad Double Arithmetic. The 17th IEEE International Conference on High Performance Computing and Communications (HPCC 2015), New York, 24-26 August 2015. slides of the talk

• Accelerating Polynomial Homotopy Continuation on a Graphics Processing Unit with Double Double and Quad Double Arithmetic. the 7th International Workshop on Parallel Symbolic Computation (PASCO 2015), the University of Bath, Bath, United Kingdom, 10-11 July 2015. slides of the talk

• Polynomial Homotopy Continuation on GPUs. ISSAC 2015 Software Presentation, the University of Bath, Bath, United Kingdom, 6-9 July 2015. slides of the software presentation

• Solving Polynomial Systems with PHCpack and phcpy. Poster presented at the 2015 NSF SI2 PI workshop, Westin Arlington Gateway Hotel, Arlington, VA, 17-18 February 2015.

• Opening the Development of PHCpack. Ada devroom, FOSDEM 2015, 31 January, Brussels, Belgium. slides of the talk

• GPU acceleration of Newton's method for large systems of polynomial equations in double double and quad double arithmetic. the 16th IEEE International Conference on High Performance Computing and Communications (HPCC 2014), 20-22 August 2014, Paris, France. slides of the talk

• Accelerating Path Tracking for Polynomial Homotopies. SIAM Parallel Processing for Scientific Computing, 18-21 February 2014, Portland, Oregon, USA. slides of the talk

• Speedup and Quality Up with Ada Tasking. FOSDEM 2014, ULB, Brussels, Belgium, 1-2 February 2014. slides of the talk

• Polyhedral Methods for Space Curves Exploiting Symmetry Applied to the Cyclic n-roots Problem. the 15th International Workshop on Computer Algebra in Scientific Computing, 9-13 September 2013, Berlin, Germany. slides of the talk

• Poster: "modernizing PHCpack through phcpy". Presented at EuroSciPy 2013, Brussels, Belgium, 21-24 August 2013.

• On massively parallel algorithms to track one path of a polynomial homotopy. 2013 SIAM Conference on Applied Algebraic Geometry, Minisymposium on Algorithms in Numerical Algebraic Geometry, 1-4 August 2013, Fort Collins, Colorado. slides of the talk

• modified Gram-Schmidt Orthogonalization on a Graphics Processing Unit (GPU) with double double and quad double arithmetic. The 27th Parallel and Distributed Processing Symposium (IPDPS-13), the 14th IEEE international Workshop on Parallel and Distributed Scientific and Engineering Computing (PDSEC-13), 20-24 May 2013, Boston, Massachusetts. slides of the talk

• solving polynomial systems with Puiseux series. The 2013 Michigan Computational Algebraic Geometry meeting, 3-4 May 2013, Western Michigan University, Kalamazoo. slides of the talk

• "Computing Puiseux Series for Algebraic Surfaces". The 37th International Symposium on Symbolic and Algebraic Computation (ISSAC 2012), Grenoble, France, 22-25 July 2012. slides of the talk

• "extended precision path tracking in parallel". 2012 SIAM Annual Meeting. Minisymposium MS40: Numerical Methods for Polynomial Systems. 9-13 July 2012, Minneapolis, Minnesota. slides of the talk

• "on Newton polytopes, tropisms, and Puiseux series to solve polynomial systems". SIAM Conference on Discrete Mathematics. Minisymposium MS41: Interactions between Computer Algebra and Discrete Mathematics, 18-21 June 2012, Dalhousie University, Halifax, Nova Scotia, Canada. slides of the talk

• "Evaluating polynomials in several variables and their derivatives on a GPU computing processor". The 26th Parallel and Distributed Processing Symposium (IPDPS12). The 13th IEEE International Workshop on Parallel and Distributed Scientific and Engineering Computing (PDSEC-12), 21-25 May 2012, Shanghai, China. slides of the talk

• "Parallel Polynomial Evaluation". SIAM Conference on Parallel Processing for Scientific Computing, Savannah, 15-17 February 2012. slides of the talk

• "Accurate Path Tracking". SIAM Conference on Algebraic Geometry, Minisymposium on Subdivision Methods in Numerical Algebraic Geometry, Raleigh, 6-9 October 2011. slides of the talk

• "Applying Littlewood-Richardson Homotopies to Schubert Problems". SIAM Conference on Algebraic Geometry, Minisymposium on Applications of Numerical Algebraic Geometry, Raleigh, 6-9 October 2011. slides of the talk

• "Sampling Algebraic Sets in Local Intrinsic Coordinates". FoCM 2011 -- Real Number Complexity Workshop, Budapest, Hungary, 4-6 July 2011. slides of the talk

• "Quality Up in Polynomial Homotopy Continuation". SIAM/NSF/MSRI Workshop on Hybrid Methodologies for Symbolic-Numeric Computation, MSRI, Berkeley, California, November 17-19, 2010. slides of the talk

• "Developing Solution Sets with Polyhedral Methods". AMS session on Numerical Algebraic Geometry, University of Notre Dame, 6 November 2010. slides of the talk

• "Solving Schubert Problems with Littlewood-Richardson Homotopies". ISSAC 2010, T.U. Munich, Germany, 25-28 July 2010. slides of the talk

• "Polynomial Homotopy Continuation with PHCpack". ISSAC 2010 software demonstration, T.U. Munich, Germany, 25-28 July 2010. slides of the talk and Maple worksheet to use PHCmaple

• "Polynomial Homotopies on Multicore Workstations". PASCO 2010, Grenoble, France, 21-23 July 2010. slides of the talk

• "Homotopies to solve Multilinear Systems". ILAS 2010, 16th Conference of the International Linear Algebra Society, minisymposium on Applications of Linear and Multilinear Algebra in Life Sciences and Engineering, Palazzo dei Congressi, Pisa, Italy, 21-25 June 2010. slides of the talk

• "Polynomial Homotopies on Multicore Workstations". 14th SIAM Conference on Parallel Processing for Scientific Computing. MS46 High-Performance Symbolic Computing. Seattle, Washington, 26 February 2010. slides of the talk

• "Homotopies for Real Polynomial Systems". AIM workshop on convex algebraic geometry, optimization and applications. AIM, Palo Alto, 21-25 September 2009. slides of the talk

• "Solving Schubert Problems with Littlewood-Richardson Homotopies". ACA 2009 Session on Applications of Math Software to Mathematical Research. ETS, Montreal, Canada, 25-28 June 2009. slides of the talk

• "Multitasking Polynomial Homotopy Continuation in PHCpack". ACA 2009 Session on High-Performance Computer Algebra. ETS, Montreal, Canada, 25-28 June 2009. slides of the talk

• "Sweeping for singular solutions of polynomial systems with parameters". ACA 2009 Session on Algorithms for Parametric Systems and their Applications. ETS, Montreal, Canada, 25-28 June 2009. slides of the talk

• "Searching for Solution Curves of Polynomial Systems". AMS Special Session on Algebra and Number Theory with Polyhedra. San Francisco State University, San Francisco, 25-26 April 2009. slides of the talk

• "Littlewood-Richardson Homotopies for Schubert Problems". AMS Special Session on Recent Advances in Symbolic Algebra and Analysis. North Carolina State University, Raleigh, 4-5 April 2009. slides of the talk

• "Polyhedral Methods to find Common Factors of Algebraic Plane Curves". AMS Special Session on Computational Algebraic and Analytic Geometry or Low-dimensional Varieties. Washingon DC, 6 January 2009. slides of the talk

• "Polyhedral Methods for Algebraic Curves". AMS Special Session on Applications of Algebraic Geometry, UBC Vancouver, Canada, 4-5 October 2008. slides of the talk

• "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.