Research

Here are my past and current research projects.

• An equivariant Adams spectral sequence based on MO

  My current PhD project. The global spectrum MO for elementary abelian 2-groups represent the universal equivariant 2-torsion global group law. Further, at the trivial group its associated Hopf algebroid is equivalent to the classical dual Steenrod algebra. Their respective Adams spectral sequences are related by a series of Bockstein spectral sequences, which give us a systematic way to produce classes in an equivariant analogue of the Adams spectral sequence.

• Deformations of stable homotopy theory

  This was my master’s thesis in which I looked at a filtered model for synthetic spectra. The thesis attempts to construct a universal property for these as a deformation of spectra with a given algebraic fibre, in terms of filtered spectra. (pdf forthcoming)