Irving Dai

Irving Dai is an assistant professor in the Department of Mathematics. He earned his Ph.D. in mathematics from Princeton University in 2019 under the supervision of Zoltán Szabó. Following his doctorate, Dai was an NSF Postdoctoral Fellow at the Massachusetts Institute of Technology from 2019 to 2021, working with Tomasz Mrowka, and at Stanford University from 2021 to 2023, collaborating with Ciprian Manolescu. His research focuses on the application of Floer homology to low-dimensional topology, with particular interest in 3- and 4-dimensional manifolds, knots, and their automorphisms. He also explores computational advances involving various gauge theories. He has been recognized with several honors, including a National Science Foundation Research Grant in 2023 for his project "Hidden Symmetries: Internal and External Equivariance in Floer Homology," and the NSF Mathematical Sciences Postdoctoral Fellowship in 2019.

Irving Dai’s research focuses on the application of Floer homology to low-dimensional topology. He is interested in questions about 3- and 4-dimensional manifolds, knots, and automorphisms of these objects. He also studies computational advances involving different gauge theories. He completed his Ph.D. at Princeton University and was a postdoctoral fellow at MIT and Stanford University.