Eran Assaf

collaborators

6 papers

math.NT2026

Hyperelliptic Atkin-Lehner quotients of Shimura curves

Eran Assaf, Sachi Hashimoto

We work towards completely classifying all hyperelliptic Atkin-Lehner quotients of Shimura curves $X_{0} (D, N) / W$ with level $N$ coprime to $D$ and $W \leq W_{0} (D, N)$ , extending, on the…

math.AG2026

Tropicalizations of locally symmetric varieties

Eran Assaf, Madeline Brandt, Juliette Bruce +2

This paper provides a rigorous study of tropicalizations of locally symmetric varieties. We give applications beyond tropical geometry, to the cohomology of moduli spaces as well a…

math.NT2026

Computing Classical Modular Forms for Arbitrary Congruence Subgroups

Eran Assaf

In this paper, we prove the existence of an efficient algorithm for the computation of $q$ -expansions of modular forms of weight $k$ and level $I^$ , where $Î\subseteq SL_{2}({\mat…

math.NT2026

Efficient enumeration of quadratic lattices

Eran Assaf, Victor Chen, Rohan Garg +1

We present an algorithm to enumerate isometry classes of integral quadratic lattices of a given rank and determinant, and analyze its running time by giving bounds on the number of…

math.NT2025

The Fibonacci Zeta Function and Continuation

Eran Assaf, Chan Ieong Kuan, David Lowry-Duda +1

We introduce a family of Dirichlet series associated to real quadratic number fields that generalize the ordinary Fibonacci zeta function $\sum F (n)^{- s}$ , where $F (n)$ denotes the…

math.NT2025

The Fibonacci Zeta Function and Modular Forms

Eran Assaf, Chan Ieong Kuan, David Lowry-Duda +1

We show that a family of Dirichlet series generalizing the Fibonacci zeta function $\sum F (n)^{- s}$ has meromorphic continuation in terms of dihedral $GL (2)$ Maass forms.