Nick Georgakopoulos

About

I am currently a Quantitative Researcher at Radix Trading.
I obtained my Ph.D. in mathematics from the University of Chicago in March 2022, advised by J. P. May.
My academic work is in the field of algebraic topology and in particular, equivariant homotopy theory. My research includes:

  • \(RO(G)\)-graded co/homology computations
  • Equivariant classifying spaces and genuine characteristic classes
  • Equivariant power operations; Steenrod and Dyer-Lashof algebras.
  • Developing computer software to assist with, and in many cases automate, the algebra involved in equivariant computations.

  • Papers and Code

  • The \(RO(C_4)\) integral homology of a point
  • The \(RO(C_4)\) cohomology of the infinite real projective space
  • The \(C_{2^n}\) Borel dual Steenrod algebra
  • \(C_2\) equivariant characteristic classes over the rational Burnside ring
  • \(C_{2^n}\)-equivariant rational stable stems and characteristic classes

  • mackey, a C++ library computing the \(RO(G)\) graded co/homology of \(G\)-spaces
  • sympp, a C++ library for symmetric polynomials in multiple variables with relations.
  • Picture from my research

    A multiplication graph