7 citations · 8 across the 16 of their papers we have counts for
17 papers
Level structures on tropical abelian varieties
Eran Assaf, Madeline Brandt, Juliette Bruce +2
We introduce level structures on tropical abelian varieties and give a modular interpretation of , the tropicalization of the moduli space $\mathcal{A}_g[m]…
Exceptional points on Atkin--Lehner quotients
Eran Assaf, Sachi Hashimoto, Ari Shnidman
We study the rational points on the star curve , the quotient of the classical modular curve by the full group of Atkin--Lehner involutions, for s…
Hyperelliptic Atkin-Lehner quotients of Shimura curves
Eran Assaf, Sachi Hashimoto
We work towards completely classifying all hyperelliptic Atkin-Lehner quotients of Shimura curves with level coprime to and , extending, on the…
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…
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…
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 has meromorphic continuation in terms of dihedral Maass forms.
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 , where denotes the…
A note on the trace formula
Eran Assaf
In this mostly expository note, we prove explicit formulas for the traces of Hecke operators on spaces of cusp forms fixed by Atkin-Lehner involutions, which are suitable for effic…
A database of paramodular forms from quinary orthogonal modular forms
Eran Assaf, Watson Ladd, Gustavo Rama +2
We compute tables of paramodular forms of degree two and cohomological weight via a correspondence with orthogonal modular forms on quinary lattices.
A database of basic numerical invariants of Hilbert modular surfaces
Eran Assaf, Angelica Babei, Ben Breen +8
We describe algorithms for computing geometric invariants for Hilbert modular surfaces, and we report on their implementation.
Definite orthogonal modular forms: Computations, Excursions and Discoveries
Eran Assaf, Dan Fretwell, Colin Ingalls +3
We consider spaces of modular forms attached to definite orthogonal groups of low even rank and nontrivial level, equipped with Hecke operators defined by Kneser neighbours. After…
On smooth plane models for modular curves of Shimura type
Samuele Anni, Eran Assaf, Elisa Lorenzo García
In this paper we prove that there are finitely many modular curves that admit a smooth plane model. Moreover, if the degree of the model is greater than or equal to 19, no such cur…
An asymptotic formula for the variance of the number of zeroes of a stationary Gaussian process
Eran Assaf, Jeremiah Buckley, Naomi Feldheim
We study the variance of the number of zeroes of a stationary Gaussian process on a long interval. We give a simple asymptotic description under mild mixing conditions. This allows…
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 -expansions of modular forms of weight and level , where $Γ\subseteq SL_{2}({\mathb…
Pay for a Sliding Bloom Filter and Get Counting, Distinct Elements, and Entropy for Free
Eran Assaf, Ran Ben Basat, Gil Einziger +1
For many networking applications, recent data is more significant than older data, motivating the need for sliding window solutions. Various capabilities, such as DDoS detection an…
Existence of invariant norms in -adic representations of of large weights
Eran Assaf
In [BS07] Breuil and Schneider formulated a conjecture on the equivalence of the existence of invariant norms on certain -adically locally algebraic representations of …
Kirillov models and the Breuil-Schneider conjecture for GL_2(F)
Eran Assaf, David Kazhdan, Ehud de Shalit
Let F be a local field of characteristic 0. The Breuil-Schneider conjecture for GL_2(F) predicts which locally algebraic representations of this group admit an integral structure.…