Abstract:In this presentation I examine the role/s of (Generative) Artificial Intelligence (AI) in mathematics education. By connecting knowledge of learning and teaching mathematics with the possibilities of AI, (it is argued that) we can enhance mathematics learning and teaching. In this, AI may serve as a tool, providing insights into the processes of mathematics learning (e.g., learning analytics) and/or as an actor, actively supporting…
Abstract: Submetries are maps between metric spaces which send balls onto balls of the same radii. They generalize Riemannian submersions and quotient maps for isometric group actions. In the talk, I will discuss topological, analytic and algebraic structural results for such maps.
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Title: Counting $D_4$ extensions by multiple invariants
Abstract: Malle’s conjecture is a central question in arithmetic statistics, predicting an asymptotic formula for the number of number fields with a prescribed Galois group and bounded discriminant. Recently, such counting problems have received considerable attention. In 2022 Gundlach introduced the notion of ordering number fields by…