New theories at the intersection of algebra and geometry

Chenyang Xu Image: M. Scott Brauer Professor Chenyang Xu applies the techniques of abstract algebra to study concrete but complex geometric objects. As a self-described "classical type of mathematician," Chenyang Xu eschews software for paper and pen, chalk and chalkboard. Walk by his office, and you might simply see him pacing about, deep in concentration. Walking - across campus to get a cup of coffee, or from his apartment to his office - is an essential part of his process. "The way I think about math, I do a lot of picturing in my brain," he says. "If I need a more clear picture, I might draw something and do some calculations. And when I walk I think of these pictures." Those paces sometimes lead him to colleagues' offices.