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The Maple Conference is dedicated to exploring different aspects of the math software Maple, including its impact on education, new symbolic computation algorithms and techniques, the wide range of applications and research Maple enables, and new and upcoming advancements in Maple and related technologies.
Come to this free virtual event to:
Hear from Maplesoft
This conference is a great opportunity to hear directly from Maplesoft on topics you care about.
Hear from the Community
The Maple Conference includes customer presentations on a range of topics related to Maple, falling into three broad categories:
See the Call for Participation for details if you wish to apply. You can also explore the contributed talks from previous conferences to see the typical mix of topics.
The Call for Participation is now closed.
Keynote Presentations
Dr. Laurent Bernardin
AI and the End of Math As We Know It
Dr. Laurent Bernardin is President and CEO of Maplesoft. He has been with Maplesoft for over 25 years and prior to his appointment to his current role, he held the positions of CTO and COO. Bernardin is a firm believer that mathematics matters. Under his leadership, Maple has grown from a research project in symbolic computing to a complete environment for mathematical calculations used by hundreds of thousands of engineers, scientists, researchers and students around the world.
Dr. Laureano González Vega
Experimental Mathematics: Using Maple to Analyse Some Conjectures Involving Matrices and Polynomials
Dr. Laureano González Vega is the Director of the Department of Quantitative Methods at CUNEF University and Professor of Algebra at University of Cantabria (on leave). He is one of the co-founders of the EACA conferences (Meetings on Computational Algebra and its Applications), and the editor of The Computational Mathematics Column in the Gazette of the Royal Spanish Mathematical Society. His research activity is concentrated on topics related with Computer Algebra, Symbolic Computation and Computer Aided Geometric Design. A long-time Maple enthusiast, Dr. González Vega has made many important contributions to the field of matrices and polynomials in computer algebra, and been a strong advocate for the use of Maple in research promoting the experimental approach when appropriate, and in teaching to increase students’ understanding of and interest in mathematics.
AI is looming large over all aspects of our lives, and this is especially true when it comes to large language models. Their promise is to make our work easier, and to multiply the impact our efforts have a thousandfold. Yet, there is also an implied threat that they can replace humans altogether and make most of us redundant. When it comes to mathematics, both the promise and the threat seem to be more pronounced than in any other field. After all, math education and research have a long history of leveraging technology to great effect. At the same time, a field based on structure and logic is a prime candidate for AI to subsume.
In this presentation, we will investigate the potential and likely implications of the emergence of AI on mathematics. We will explore what AIs are good at, what they might become better at, and what their relationship with humans in the world of mathematics might ultimately turn out to be. We’ll discuss the implications on teaching, learning, doing, and leveraging mathematics, and what math tools could look like in a world where AI is ubiquitous.
Description to come...
Dimensional analysis, also known as parameter reduction, is a recommended practice before analyzing a dynamical system, such as a physical system or biological model. The Buckingham Pi Theorem shows how linear algebra can be used to bring out dimensionless variables, as power products of the original variables, which simplifies the analysis. One issue that arises, however, is that the powers provided by the Pi Theorem can be fractional, resulting in roots, and thus they require some care when determining the regions of positivity of the variables.
In this talk, I will present an algorithm involving scaling invariants that performs a similar transformation into dimensionless variables, but the results only involve integer powers and so are much easier to work with. I will also provide a simple rewriting algorithm, in the form of substitutions, that can be used to find the induced equations in the dimensionless variables.
This talk is based on: E. Hubert & G. Labahn. Scaling Invariants and Symmetry Reduction of Dynamical Systems. Foundations Computational Mathematics. 13:4 pages 479-516 (2013)Elder Albert Marshal of the Mi’kmaw Nation describes “two-eyed seeing” as the ability to see with the strength of Indigenous knowledge from one eye while seeing with the strength of Western knowledge from the other. This dual perspective can be applied to many aspects of life, including mathematics.
In this presentation, I will explore the concept of “two-eyed seeing” and the field of ethnomathematics, the study of the relationship between mathematics and culture first introduced by Brazilian educator and mathematician Ubiratan D'Ambrosio. I will address some of the dynamics between these two concepts and illustrate them with several examples. These examples will include a brief analysis of the geometry evident in a traditional Haida Nation hat, as well as the work of contemporary Salish artist Dylan Thomas.
In addition, I will discuss a project that used mathematical modeling of a traditional Tla’amin Nation stone fish trap to communicate cultural, engineering, environmental, and mathematical ideas. This project was a collaboration with the Tla’amin Nation and the Callysto Program, an online education tool that helps students in elementary and high school learn about and apply data science skills.