What is pure mathematics? What do pure mathematicians do? Why is pure mathematics important? These are questions I’m often confronted with when people discover I do pure mathematics. I always manage ...
Real and complex functions both arise from the fundamental idea of mapping points in a domain to real or complex values, yet their theories display distinctive features. Real functions—mappings ...
The zeta function of a graph, inspired by analogues in number theory and differential geometry, encodes fundamental cycle and path data in a compact analytic form. Its prototypical instance, the Ihara ...