10/16/2026
Many congratulations to Assistant Professor of Mathematics and Statistics Nick Miller, PhD, whose paper “Arithmeticity, superrigidity, and totally geodesic submanifolds” received the 2026 Frontiers of Science Award from the International Congress of Basic Science!
“It is a tremendous honor for my collaborators and me; having our work recognized internationally is humbling, and I am grateful to have been part of it,” Dr. Miller says. “When you work on hard problems, many ideas fail before one leads somewhere, and day to day, that can be disheartening. When a breakthrough does come, it is something to hold on to. For me, this award is a reminder of both that success and the perseverance behind it.”
As a teacher and scholar, he’s drawn to problems at the intersection of different mathematic fields. His current research looks more closely at hyperbolic geometry and manifold shapes. “It's a special but surprisingly ubiquitous kind of geometry, and it has been an extremely fruitful area of mathematics for the last 50 years,” he explains.
“The shapes we study are natural higher-dimensional versions of the saddle-shaped surfaces students encounter in Calculus 3 (MAT 2500) ... what made the project especially interesting was that it brought together ideas from areas that can seem quite distinct, including dynamics and number theory. As you go further, you begin to ask why those methods work, what connects one idea to another and what deeper structures lie underneath.”
Discovery in mathematics, he says, can often look like a solitary process. “But some of the most rewarding parts of my career have come from thinking through difficult questions with other people,” he reflects. Similar thoughts reemerge while teaching his favorite courses from the department’s pure mathematics curriculum—where even the basics can still offer revelations.
“Each class has its own ideas and challenges, and I enjoy finding a way to share what makes those ideas interesting,” he says. “Getting to know and mentoring students is one of the pleasures of teaching and it keeps me going; I learn from them every time I teach, and their energy is infectious.”