Regular biography
Hiraku Naka jima is a professor at The University of Tokyo in the Department of Mathematics. He is also a principal investigator at the Kavli Institute for the Physics and Mathematics of the Universe. His research focuses on mathematics, particularly quantum field theory, with an emphasis on the mathematical study of gauge theories. He investigates homology groups of moduli spaces in gauge theories using geometric representation theory. His work includes providing a mathematically rigorous definition of Coulomb branches of 3d supersymmetric gauge theories and studying their properties and noncommutative deformations.
Scholar-generated biography
Hiraku Nakajima is a researcher specializing in Representation Theory and Algebraic Geometry. His work explores deep connections between these fields through the study of quiver varieties, instantons, and Hilbert schemes. He has contributed significantly to understanding the structure of quantum affine algebras, Kac-Moody algebras, and Coulomb branches in gauge theories. His research also involves the interplay between algebraic geometry and mathematical physics, particularly in the context of moduli spaces and their applications to gauge theories. Nakajima's publications often focus on the interplay between representation theory and geometric structures, with a strong emphasis on the role of symmetry and invariants in these contexts.