Concept
Programme de Langlands
Publications associées (25)
Algebraic twists of GL(2) automorphic forms
In this thesis we consider the problem of estimating the correlation of Hecke eigenvalues of GL2 automorphic forms with a class of functions of algebraic origin defined over finite fields called trace functions. The class of trace functions is vast and inc ...
EPFL2023Unlikely intersections on the p-adic formal ball
We investigate generalizations along the lines of the Mordell-Lang conjecture of the author's p-adic formal Manin-Mumford results for n-dimensional p-divisible formal groups F. In particular, given a finitely generated subgroup (sic) of F(Q(p)) and a close ...
SPRINGER INT PUBL AG2023On p-adic Versions of the Manin-Mumford Conjecture
We establish p-adic versions of the Manin-Mumford conjecture, which states that an irreducible subvariety of an abelian variety with dense torsion has to be the translate of a subgroup by a torsion point. We do so in the context of certain rigid analytic s ...
OXFORD UNIV PRESS2021Moments of L-functions and exponential sums
We give some simultaneous non vanishing results for certain families of automorphic L-functions. ...
EPFL2019The Linear Programming Approach to Reach-Avoid Problems for Markov Decision Processes
Maryam Kamgarpour, John Lygeros, Tyler Summers
One of the most fundamental problems in Markov decision processes is analysis and control synthesis for safety and reachability specifications. We consider the stochastic reach-avoid problem, in which the objective is to synthesize a control policy to max ...
2017A semi-algebraic version of Zarankiewicz's problem
A bipartite graph G is semi-algebraic in R-d if its vertices are represented by point sets P,Q subset of R-d and its edges are defined as pairs of points (p,q) epsilon P x Q that satisfy a Boolean combination of a fixed number of polynomial equations and i ...
European Mathematical Soc2017Non-reciprocal acoustic devices based on linear or angular momentum biasing
A non-reciprocal acoustic device that accomplishes non-reciprocity via linear or angular-momentum bias. The non-reciprocal acoustic device includes an azimuthally symmetric or planar acoustical cavity (e.g., ring cavity), where the cavity is biased by impo ...
2016