Why is mathematics so complicated? It’s a question many students will ask while grappling with a particularly complex calculus problem — and their teachers will probably echo while setting or marking ...

On January 5, Rosa Winter will obtain her doctorate in arithmetic geometry. She researched solutions of equations that define so-called 'del Pezzo surfaces." "I like geometry because I can imagine and ...

Ask people what they know about the frontiers of mathematics research, and the response is usually some variation on: "What is there to research about math?" "I think it's a product of the way we ...

Several fields of mathematics have developed in total isolation, using their own 'undecipherable' coded languages. Mathematicians now present 'big algebras,' a two-way mathematical 'dictionary' ...

Every pure mathematician has experienced that awkward moment when asked, “So what’s your research good for?” There are standard responses: a proud “Nothing!”; an explanation that mathematical research ...

When it comes to teaching mathematical concepts, abstract formulas may be more effective than the familiar examples of speeding trains and tossed coins favored by algebra instructors, according to a ...

There is no shortage of popular books and lectures on math—but they can only teach us so much. Mathematics has long been presented as a sanctuary from confusion and doubt, a place to go in search of ...

Ordinary people see beauty in complex mathematical arguments in the same way they can appreciate a beautiful landscape painting or a piano sonata. Ordinary people see beauty in complex mathematical ...

The work of mathematicians from centuries or even millennia ago speaks to their living peers in ways that practitioners of other disciplines must find baffling. Euclid’s proof that the list of prime ...

Mathematics to many people is completely abstract and thus, per definition, is not doing anything physically. But is that true for math in a processor? In this article I will describe how mathematics ...