Public lecture “Mathematics and Artificial Intelligence”: When AI changes mathematical research and mathematics shapes the future of AI
An overview of the public lecture “Mathematics and Artificial Intelligence”
The first lecture was entitled “Integrating AI Tools into Mathematical Research” and was delivered by Professor Daniel Litt of the University of Toronto (Canada)
In this presentation, the speaker presented several research cases in which new AI tools played a substantive role in solving open problems in mathematics. The examples were drawn from the speaker’s own work, the work of other mathematicians, as well as cases in which AI solved problems autonomously. The emergence of these new tools will almost certainly profoundly change mathematical research activities. The speaker also offered several observations on the changes that may occur and on how the mathematical community can adapt to those changes.
The second lecture was delivered by Dr. Nguyen Manh Toan of Swinburne Vietnam, FPT University, and was entitled “When Deep Learning Isn’t Enough: The Role of Mathematics in Real-World AI”.
In this lecture, the speaker argued that classical and modern mathematics can provide well-founded methods for problems that cannot be solved by purely engineering intuition alone. Drawing on several recent applied studies in computer vision, driver behaviour analysis and intelligent robotics, the speaker presented: How topological data analysis provides stable features when image quality deteriorates; How metric geometry creates an appropriate mathematical structure for the problem of detecting abnormal human behaviour; How fuzzy mathematics helps reinforcement-learning agents make reliable decisions under conditions of uncertainty. The objective of the lecture was not to provide an overview of mathematical AI, but to clarify a specific point: mathematical depth is not merely useful foundational knowledge for those working in AI, but also a source of new ideas that experiments alone cannot generate.
Delegates exchange views with the speakers
Within the framework of the Public Lecture, young researchers raised many practical questions surrounding the integration of AI into the research process, from its ability to support the discovery of new knowledge and verify results, to requirements concerning academic ethics and the role of mathematical thinking in the AI era.
Some photos at the event:
Translated by Tuyet Nhung
Link to Vietnamese version
