Apparaît dans la collection : 2026 - T1 - WS2 - Bridging visualization and understanding in Geometry and Topology

Illustration is a central tool in my research, outreach, and educational practice, encompassing high-quality illustrations, video game development, 3D modeling, laser-cut physical realizations of discrete structures, mixed and virtual reality, short videos, and performances. These illustration practices have supported the formulation, pursuit, and resolution of conjectures in discrete and stochastic computational geometry and topology, the establishment of algorithmic complexity results, and the exploration of configuration spaces of rich combinatorial systems. They have also played a central role in widening access to, understanding of, and sustained engagement with contemporary mathematical research well beyond specialist communities. I will present concrete examples from this trajectory and discuss how AI is transforming—and will continue to do so at an accelerating pace—this ecosystem, reconfiguring how illustrations in mathematics and computer science are conceived, generated, and shared. I will argue that—across knowledge-based human endeavors—by drastically lowering technical and skill barriers, AI has the potential to democratize who can produce, explore, and communicate complex ideas and structures by means of illustration.