Abstract: We experimentally demonstrate an all-optical programmable logic array scheme through linear pre-coding and nonlinear four-wave mixing in silicon-based integrated chip. The full set of ...

Notes for MATH700132 (Mathematical Logic) taught by David Evans at Imperial in Spring 2025. They are a work in progress. These notes are primarily based on the content covered in lectures, with some ...

In August, a team of mathematicians posted a paper claiming to solve a major problem in algebraic geometry — using entirely alien techniques. It instantly captivated the field, stoking excitement in ...