Research Advisors: Simon Donaldson, Mark McLean
Galt’s past research has focused on the geometry behind algorithms in computational number theory. In particular, he is involved in a long-term project to better understand the geometry of lattices, which have important applications in cryptography and modern cybersecurity. Here at Stony Brook, his research focuses more on aspects of pure mathematics that feature strong ties to modern physics. His current work is on better understanding the geometry of moduli spaces that arise in gauge theory and symplectic topology.