Talks by Year

2023

  • (With Arne Storjohann) Efficient Algorithms for Integer and Polynomial Matrices (long course),

    Recent Trends in Computer Algebra, Institut Henri Poincaré, Paris, September 18-22, 2023.

    The Plan for the week,

    Module 1 : Linear Algebra over a field,
    Module 2 : Linear Algebra over integers and polynomials,
    Module 3 : Fast linear solving over integers,
    Module 4 : Introduction to Matrix normal forms,
    Module 5 : More on Hermite normal forms,
    Module 6 : Fast Hermite form computation for polynomial matrices,
    Module 7 : Fast Hermite form computation for integer matrices,
    Module 8 : Computing the Smith form with multipliers of a nonsingular integer matrix

  • Normal forms for integer matrices, Plenary Talk, Computer Algebra and Scientific Computing (CASC), August 28, 2023, Havana, Cuba

  • Matrix Normal Forms, Seminar, Simon Fraser University, August 22, 2023, Vancouver, Canada

    2022

  • (With Tia Ruza) Math Aware Search: Experimenting with a data driven math recognizer, WHJIL Workshop, University of Waterloo, June 9, 2022, Canada

    2021

  • Computing the Smith Form with Multipliers of a nonsingular integer matrix, PolSys seminar, Sorbonne Université, November 19, 2021, Paris, France

  • Computing the Smith Form of a nonsingular integer matrix, Numerical Methods and Scientific Computing, Centre International de Recontres Mathématques (CIRM), November 8, 2021, Luminy, France

  • Searching Documents with Text and Mathematical Content Using a Pen-Based Interface, WHJIL Workshop, University of Waterloo, June 9, 2021, Canada

    2020

  • Numeric Computation with Matrix Polynomials, PolSys seminar, Sorbonne Université, September 11, 2020, Paris, France

  • Searching Documents with Text and Mathematical Content Using a Pen-Based Interface, WHJIL Workshop, University of Waterloo, June 8, 2020, Canada

    2019

  • Rational Summation in three discrete variables, PIMS Distinguished Lecture Series, University of Lethbridge, November 19, 2019, Alberta, Canada.

  • Fast, deterministic computation of the Hermite Normal Form of a matrix of polynomials, University of Calgary, November 18, 2019, Alberta, Canada.

  • Order Bases : History, applications and Computation,
    Lecture 1,
    Lecture 2,
    Lecture 3,
    Lecture 4,
    Lecture 5,
    5th Algorithmic and Enumerative Combinatorics Summer School 2019. Series of five research lectures for graduate students and researchers. July/August, 2019, Hagenberg, Austria

  • Symbolic Summation on Rational Functions in Two and Three Variables , International Conference in honour of 100 year birth of Prof Wen-Tsun Wu, May 2019, Beijing, China

    2018

  • Fast, deterministic computation of the Hermite Normal Form of a matrix of polynomials, Simon Fraser University, August 15, 2018, Vancouver, Canada.

    2017

  • Computation of normal forms for polynomial and maybe Ore matrices, Workshop on Computer Algebra in Combinatorics, November 13, 2017, Vienna, Austria.

  • Numeric computation with Rational Functions: Avoiding Frossart doublets, SIAM Conference on Applied Algebra and Geometry, August 3, 2017, Atlanta, USA.

  • Deterministic Computation of Hermite Normal Forms for Polynomial Matrices , Seminar Series, École normale supérieure de Lyon, February 3, 2017, Lyon, France.

    2016

  • Fast, deterministic computation of the Hermite forms for matrix polynomials, Milestones in Computer Algebra (MICA) July 16, 2016, Waterloo, Canada.

  • Rational Invariants of Finite Abelian Groups, Plenary Talk, Functional Equations at Limoges (FELim) March 28, 2016, Limoges, France.

  • Rational Invariants of Finite Abelian Groups, Kolchin Seminar, City University of New York (CUNY), March 11, 2016, New York, USA.

  • Symbolic/Numeric Computation of Rational Functions, Seminar, City University of New York (CUNY), March 10, 2016, New York, USA.

    2015

  • Experiments in developing Pen Math systems, SCS Seminar Series, December 2, 2015, Waterloo, Canada.

  • Sigma Bases, Kernel Bases and applications of fast computation for polynomial matrices , Fields Institute Workshop on Linear Computer Algebra and Symbolic-Numeric Computation, October, 2015, Toronto, Canada.

  • Rational Invariants of Finite Abelian Groups , Fields Institute Workshop on Symbolic Combinatorics and Computational Differential Algebra September, 2015, Toronto, Canada.

  • Rational Invariants and Dynamical Systems , International Congress on Industrial and Applied Mathematics (ICIAM) July, 2015, Beijing, China.

    2014

  • Construction of Rational Invariants of Finite Abelian Groups and its Applications, Foundations of Computational Mathematics December 2014, Montevideo, Uruguay.

  • Unimodular Completion of Polynomial Matrices, International Symposium on Symbolic and Algebraic Computation (ISSAC), July 2014, Kobe, Japan.

  • Dynamical Systems and Scaling invariants, Applications of Computer Algebra (ACA) July 2014, New York, USA.

    2013

  • Alternate Polynomial Bases, SIAM Conference on Applied Algebra and Geometry, July 2013, Fort Collins, Colorado, USA. Long version

  • Numerical Considerations for the Sparse Interpolation Problem, SIAM Conference on Applied Algebra and Geometry, July 2013, Fort Collins, Colorado, USA

  • Applications of fast kernel computation for polynomial matrices , International Linear Algebra Society Meeting, June 2013, Providence, Rhode Island, USA

    Some other selected talks

  • Rational invariants of scalings from Hermite normal forms , International Symposium on Symbolic and Algebraic Computation (ISSAC), July 2012, Grenoble, France

  • Scaling Symmetries and Integer Linear Algebra , Seminar, Université de Lille, Mar 2012, Lille, France

  • Order Bases : Computation and uses in Computer Algebra , Conference on rational approximation (Occasion of 70th birthday of Claude Brezinski), October 14, 2011, Sardinia, Italy

  • Symbolic Computation of Convolution Integrals of Holonomic Functions , Foundations of Computational Mathematics (FoCM), July 14, 2011, Budapest, Hungary

  • Computing Popov Form of General Ore Polynomial Matrices , Milestones in Computer Algebra ( 60-th birthday conference in honor of Keith Geddes), May 2, 2011, Trinidad-Tobago

  • On Simultaneous Row and Column Reduction of Higher-Order Linear Differential Systems , Differential Equations and Algebraic Manipulation (DEAM), Feb 10, 2011, Linz, Austria

  • Numerical Solution of Hamilton-Jacobi-Bellman Equations in Finance , INRIA, Seminar, July 29, 2010, Sophia-Antipolis, France.

  • Fraction-free Computation of Simultaneous Pad\'e Approximants , Workshop on Rational Aproximation, Oct 2, 2009, Luminy, France

  • Fraction-free Computation of Simultaneous Pad\'e Approximants , International Symposium on Symbolic and Algebraic Computation (ISSAC), July 2009, Seoul, Korea

  • Popov Forms of Matrices of Differential Polynomials , International Conference in honour of 90th birthday of Prof Wen-Tsun Wu, May 2009, Beijing, China

  • Fraction-free Computation of Simultaneous Pad\'e Approximants , American Math Society (AMS) Regional Meeting, May 2009, North Carolina State University (NCSU), USA.

  • Popov Forms of Matrices of Differential Polynomials , Differential Equations and Algebraic Manipulation (DEAM), Feb 7, 2009, Hagenburg, Austria

  • Popov Forms of Matrices of Differential Polynomials , Foundations of Computational Mathematics (FoCM), June 2008, Hong Kong, China

  • Recent Progress with Order Bases , Conference in honor of Peter Borwein, Simon Fraser University, May 12, 2008, Vancouver, Canada

  • Order Bases , MOCAA M3 Workshop, April 2008, London, Canada

  • Conditioning of the Generalized Hankel Eigenvalue Problem , Golub Day, Feb 29, 2008, Waterloo, Canada.

  • Order Bases , East Coast Computer Algebra Day (ECCAD), May 2007, Washington College, Maryland, USA.

  • On Computing Polynomial GCDs in Alternate Bases , International Symposium on Symbolic and Algebraic Computation (ISSAC), July 2006, Genoa, Italy.

  • Closed form solutions of liner odes having elliptic function coefficients , Seminar, Simon Fraser University (SFU), August 2005, Vancouver, Canada.

  • Closed form solutions of liner odes having elliptic function coefficients , International Symposium on Symbolic and Algebraic Computation (ISSAC), July 2004, Santander, Spain.

  • Solving Linear ODES in Maple , Seminar, École Polytechnique, June 2003, Paris, France.

  • Symbolic Computation vs Numeric Computation : a tutorial , SCA 2002, Fields Institute special meeting, July 2002, Western University (UWO), London, Canada.

  • SNAP: A Maple 8 package for arithmetic with numeric polynomials , International Conference on Mathematical Computation (ICMS), June 2002, Beijing, China.

  • The Popov Form of Ore Matrices , East Coast Computer Algebra Day (ECCAD), May 2002, North Carolina State University (NCSU), USA.

  • Exact Arithmetic Computation of Rational Approximants and Interpolants , Rational Approximation, July 1999, Antwerp, Belgium.

  • When are two polynomials numerically relatively prime? , Symbolic/Numeric Arithmetic of Polynomials, July 1996, Antibes, France.