Symmetry and Group TheoryExplores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.
Integration on H_pxH and ArithmeCovers integration on H_pxH and arithmetic topics, focusing on the Hensel Lemma and the process of finding R and S such that R.S-P=0.
Basis Sets IExplores the solution of the Schrödinger equation for many-electron systems using basis sets and the concept of basis functions.
Group representations constructionsExplores the construction of group representations through various methods and provides an illustrative example using the standard representation of sr2 on c2.
Variational Auto-Encoders and NVIBExplores Variational Auto-Encoders, Bayesian inference, attention-based latent spaces, and the effectiveness of Transformers in language processing.
Topology of AdelesCovers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.