We construct a family of Calabi-Yau metrics on C3 with properties analogous to the Taub-NUT metric on C2, and construct a family of Calabi-Yau 3-fold metric models on the positive and negative vertices of SYZ fibrations with properties analogous to the Ooguri-Vafa metric.
This book is a charming collection of puzzles created by Yoshiyuki Kotani, one of the founding members of the Academy of Recreational Mathematics, Japan. Kotani has selected some of his favorite puzzles from over 40 years of puzzle setting, most of which have never appeared in western literature. The distinctive culture of Japanese recreational ......
We extend the classical duality results of Poitou and Tate for finite discrete Galois modules over local and global fields (local duality, nine-term exact sequence, etc.) to all affine commutative group schemes of finite type, building on the recent work of ?esnavi?ius [?es2] extending these results to all finite commutative group schemes. We ......
It appears to me that if one wants to make progress in mathematics one should study the masters and not the pupils."" -Niels Henrik Abel Recent pedagogical research has supported Abel's claim of the effectiveness of reading the masters. Students exposed to historically based pedagogy see mathematics not as a monolithic assemblage of facts but as a ......
Written by the founder of SIMIODE (Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations), this book provides a collection of resources that facilitate a modeling-first approach to teaching differential equations. Each of the forty-three chapters presents a unique, realistic, and classroom-tested modeling ......
This book offers engaging cross-curricular modules to supplement a variety of pure mathematics courses. Every chapter was carefully designed to promote active learning strategies. Teaching Mathematics Through Cross-Curricular Projects is aimed at anyone wishing to demonstrate the utility of pure mathematics across a wide selection of real-world ......
Let V be a vertex operator algebra with a category C of (generalized) modules that has vertex tensor category structure, and thus braided tensor category structure, and let A be a vertex operator (super)algebra extension of V . We employ tensor categories to study untwisted (also called local) A-modules in C, using results of ......
Testimonios brings together first-person narratives from the vibrant, diverse, and complex Latinx and Hispanic mathematical community. Starting with childhood and family, the authors recount their own individual stories, highlighting their upbringing, education, and career paths. Their particular stories, told in their own voices, from their own ......
