The quantum Schur transform is a unitary change of basis from the computational product basis to the so-called Schur basis, a basis labeled by the irreducible representations of the symmetric and unitary groups, based on the Schur-Weyl duality in the group representation theory. The latter basis (…)

Learn to apply AI and deep learning to text, image, audio and video analysis; build and train your own neural net models. This two-week online boot camp is for anyone who wants to develop proficiency in neural networks and explore ways to apply AI and make use of LLMs.

Hyperbolic lattices present a unique opportunity to venture beyond the conventional paradigm of crystalline many-body physics and explore correlated phenomena in negatively curved space. As a theoretical benchmark for such investigations, we extend Kitaev’s spin-1/2 honeycomb model to hyperbolic (…)

An advanced 3D animation of the Geneva mechanism, significantly enhancing the design of a previous, more simplified version. While the earlier animation utilized basic geometric forms like cylinders and triangular prisms, this new version introduces detailed and intricate shapes, resulting in a (…)

Today, I am excited to announce a free interactive course, Introduction to Special Functions, to help students worldwide master this fascinating subject. To the best of our knowledge, this is the first course ever to offer such comprehensive coverage of concepts and groups of special functions. (…)