During the Spring and Fall of 2021, I did a project on Hodge Theory under the supervision of Dr. Ritwik Mukherjee.Â
The first project dealt with the results like Hodge decomposition theorem and Poincare duality. A detailed report can be found here.
The final thesis (M.Sc. thesis) for the same can be accessed here. These are not very polished, but I plan to proofread it once again and produce a more expository version with minimal possible typos.