Working on the following projects:Â
1)Weight Analogues as Singularity Invariants: Investigating the construction of weights on cohomology and working for analogues at the level of homotopy groups as potential invariants of singularity. This project is currently yielding progress and insights.
2)Bloch-Beilinson Filtration: Studying the higher components of the Bloch-Beilinson filtration on Chow groups, with particular interest in cases where the base field has transcendence. The goal is to better understand the behavior and structure of these filtrations.