4 papers
Finiteness of Heights in Isogeny Classes of Motives with Semistable Reduction
Alice Lin
Using integral -adic Hodge theory, Kato and Koshikawa define a generalization of the Faltings height of an abelian variety to motives defined over a number field. Assuming the a…
Shafarevich's conjecture for families of hypersurfaces over function fields
Philip Engel, Alice Lin, Salim Tayou
Given a smooth quasi-projective complex algebraic variety , we prove that there are only finitely many Hodge-generic non-isotrivial families of smooth projective hyper…
Algebraic Relations Between Partition Functions and the -Function
Alice Lin, Eleanor McSpirit, Adit Vishnu
We obtain identities and relationships between the modular -function, the generating functions for the classical partition function and the Andrews -function, and two funct…
Strongly Non-zero Points and Elliptic Pseudoprimes
L. Babinkostova, D. Fillmore, P. Lamkin +2
We examine the notion of strongly non-zero points and use it as a tool in the study of several types of elliptic pseudoprimes. Moreover, we give give some probabilistic results abo…