Welcome! This is a website documenting my solutions to the exercises in Allen Hatcher's Algebraic Topology. The author has included useful information about the book on the book's download page. See ...

The University of Liverpool’s Department of Mathematical Sciences has been awarded £1.6 million by the leading algorithmic trading firm XTX Markets to support research in Pure Mathematics.

Artificial intelligence continues to evolve—but not always in the same direction. While most AI companies concentrate on ...

The University of Liverpool's Department of Mathematical Sciences has been awarded £1.6 million by the leading algorithmic trading firm XTX Markets to ...

Mathematics is the cornerstone of science, technology, and money. It comprises branches like Calculus and Algebra, ...

The Hertz Foundation is proud to recognize the 16 most recent graduates of the Hertz Fellowship in applied science, mathematics and engineering.

In this review article, we discuss the synthesis and dynamic nature of macromolecular systems that have mechanically linked polymer chains capable of undergoing a topology transformation driven by a ...

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in Maths when we do not know the exact number in a calculation - this unknown ...

Abstract: Classical gradient-based density topology optimization is adapted for method-of-moments numerical modeling to design a conductor-based system attaining the minimal antenna Q-factor evaluated ...