Modular forms for noncongruence subgroups: an introduction Modular forms for congruence subgroups have been studied for over one century. There are fabulous results and remarkable applications. On the other hand, …

Modular forms for noncongruence subgroups: recent progress and open problems Modular forms for congruence subgroups have been studied for over one century. There are fabulous results and remarkable applications. On …

An introduction to the principle of functoriality I will give a brief introduction to the principle of functoriality, which is one of the central components of the Langlands program. Then …

Level of Siegel modular forms of degree 2 coming from the $latex Sym^3$ lifting Ramakrishnan and Shahidi used the $latex Sym^3$ lifting to lift a holomorphic elliptic (non-CM) newform $latex …

The tensor-like join: graph-theoretic insights into polar code performance Arikan's polar codes have been celebrated for their capacity-achieving performance since first presented in 2008; however, the question of optimal finite-length …

The tensor-like join: graph-theoretic insights into polar code performance Arikan's polar codes have been celebrated for their capacity-achieving performance since first presented in 2008; however, the question of optimal finite-length …

The introductory lecture is aimed at sharing background material so that students are better prepared to understand the main seminar. The introductory lecture is open only to students.

Higher Eisenstein Congruences  In this talk, we examine the relationship between the ``depth" of certain Eisenstein congruences and the local structure of the Eisenstein ideal. Specifically, let $latex p\geq 3$ …

The introductory lecture is aimed at sharing background material so that students are better prepared to understand the main seminar. The introductory lecture is open only to students.