Reseach

My current research interests include quadratic forms, the Brauer group and the u-invariant. I am also interested in cohomology theory, in particular etale, fppf and fpqc cohomology in algebraic geometry. Furthermore, I work with and think about local global principles, patching techniques and zero cycles. I recently became interested in twisted sheaves over gerbes in relation to the Brauer group.

Preprints

Title Collaborators Comments Download
Gerbe patching and a Mayer-Vietoris sequence in non-abelian hypercohomology - submitted arXiv
Brauer p-dimension of complete discretely valued fields Nivedita Bhaskhar submitted arXiv

Thesis

Title Advisor(s) Comments Download
Multi-Letterplace Ring, Multi-Gradings and Applications Prof. Dr. Zerz
Prof. Dr. Levandovskyy
Bachelor Thesis PDF

Slides

Title Conference Comments Download
Gerbe patching and a Mayer-Vietoris sequence in non-abelian hypercohomology ECHORaP
- PDF