25 citations · 103 across the 36 of their papers we have counts for
6 papers · 1 filter
Adjoint orbits of the Jacobi group
Yong-Jae Kwon, Jae-Hyun Yang
In this article, we study adjoint orbits of the Jacobi group, and in particular describe nilpotent orbits explicitely.
Remarks on the Birch-Swinnerton-Dyer conjecture
Jae-Hyun Yang
We give a brief description of the Birch-Swinnerton-Dyer conjecture and present related conjectures. We describe the relation between the nilpotent orbits of SL(2,R) and CM points.
Stable Automorphic Forms for Semisimple Groups
Jae-Hyun Yang
In this paper, we introduce the concept of stable automorphic forms for semisimple algebraic groups and use the stability of automorphic forms to study the geometry of infinite dim…
A note on the Schottky problem
Jae-Hyun Yang
In this article, we discuss and survey the recent progress towards the Schottky problem, and make some comments on the relations between the Andr{é}-Oort conjecture, Okounkov conve…
Theta sums of higher index
Jae-Hyun Yang
In this paper, we obtain some behaviours of theta sums of higher index for the Schroedinger-Weil representation of the Jacobi group associated with a positive definite symmetric re…
Stable Schottky-Jacobi Forms
Jae-Hyun Yang
In this article, we prove that there do not exist stable Schottky-Jacobi forms for the universal Jacobian locus and also prove that there exist non-trivial stable Schottky-Jacobi f…