# Talks by Year

#### 2024

Fast computation of Hermite forms for integer matrices,
Journées Approximation 6th edition, May 16, 2024, Lille, France

#### 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.