Faculty Labs and Research

Analysis and Geometry falls under the field of mathematical analysis, which is a broad branch of mathematics that encompasses many fields, generally sharing a basis in calculus. Historically, analysis has played a crucial role in solving problems in physics and engineering; recent years have seen surprising applications to solve problems in other mathematical fields like…

Mathematical Physics falls under the field of mathematical analysis, which is a broad branch of mathematics that encompasses many fields, generally sharing a basis in calculus. Historically, analysis has played a crucial role in solving problems in physics and engineering; recent years have seen surprising applications to solve problems in other mathematical fields like the…

Perhaps the fastest growing area of modern mathematics, Combinatorics and Discrete Math has a wealth of real-world applications, especially in computer science, which have greatly contributed to its rapid growth.

Algebraic geometry generally uses tools from algebra to study objects called algebraic varieties that are solution sets to algebraic equations

Symplectic geometry studies objects with structure generalizing that of the phase space of certain dynamical systems.

Probability and Statistics encompasses a broad array of topics in pure and applied mathematics, and has applications in almost every field of scientific research. By its nature, the field is driven by real-world applications.

The study of those properties that are preserved through continuous deformations of objects. It can be used to abstract the inherent connectivity of objects while ignoring their detailed form.

How do we use information we have learned? Does the way people learn and apply knowledge change across development? In the Learning and Brain Development lab, we investigate the development of brain systems for different ways of learning during adolescence, and the impact of learning on memory, decision making, and cognitive control. We are interested…

The Plasticity in Neurodevelopment (PINE) Lab explores how different environments and neuroplasticity interact to shape brain and behavior development. We are interested in how typical environment-neuroplasticity interactions support healthy development, as well as how adverse environments or atypical neuroplasticity processes in neurodevelopmental disorders like Autism impact development. Using this framework, we aim to understand the…

The Stevenson group is an experimental research group working at the interface of physics, chemistry, and materials science. Our research focuses on the twin problems of developing new tools for understanding biophysical dynamics and building new hardware for quantum communication.

The central theme of research in the Kwon Lab is to understand how people with visual impairment see and recognize the world around them. To this end, they study how the visual system deals with four major aspects of visual deficits that often occur in impaired vision: blur, low contrast, visual field loss, and abnormal…

The Dong Lab develops and applies physics-based and data-driven computational methods to understand multiscale processes, from electronic structures to emergent properties. We use such understandings to develop design strategies for molecules, materials, and processes that matter in renewable energy, biomedicine, quantum information science, and other areas of societal importance.