My Ph.D thesis addressed the subject of rigidity in stable homotopy theory. More precisely, I  proved the rigidity of the stable homotopy theory when we localise it with respect to Morava K-theory at n=1, p=2. It can be downloaded here.  

Papers and preprints

1. Levels of algebraicity in stable homotopy theories , joint with C. Roitzheim  and J. Williamson. , Journal of the London Mathematical Society.

2. Genuine-commutative ring structure on rational equivariant K-theory for finite abelian groups, joint with A.M. Bohmann, C. Hazel, M. Kędziorek , and C. May, April 2021. Bulletin of the London Mathematical Society.

3. Naive-commutative structure on rational equivariant K-theory for abelian groups, joint with A.M. Bohmann, C. Hazel, M. Kędziorek , and C. May. Topology & its applications.

4.  Rigidity of the K(1)-local stable homotopy category  Homology, Homotopy and Applications. Vol 21, no. 2 (2019): 261-278.

Slide presentations

• The naive-commutative structure on rational equivariant K-theory, talk presented at the algebraic topology seminar, University of Sheffield. 

• Rigidity of the K(1)-local stable homotopy category, talk presented at the algebraic topology seminar, EPFL.