Zeta-regularized Functional Determinant
In my undergraduate thesis, I study the zeta function technique to define and compute the trace formula and functional determinant of Laplace operator.
On the Mazur-Tate-Teitelbaum conjecture
My master thesis is intended to explain the result proved by Greenberg and Stevens on the Mazur-Tate-Teitelbaum conjecture. Especially, the objective of the thesis is to develop all the necessary theory in order to understand Greenberg and Stevens' paper in detail.