11 citations · 39 across the 17 of their papers we have counts for
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math.DS2024
Equidistribution of continuous low-lying pairs of horocycles via Ratner's theorem
Claire Burrin
We record an alternative proof of a recent joint equidistribution result of Blomer and Michel, based on Ratner's topological rigidity theorem. This approach has the advantage of ex…
math.GT2024
On the crossing number of arithmetic curve systems
Sebastian Baader, Claire Burrin, Luca Studer
We show that the family of systoles of hyperbolic surfaces associated with congruence lattices in have asymptotically minimal crossing number.
math.NT2024
Rational points on ellipsoids and modular forms
Claire Burrin, Matthias Gröbner
The theory of modular forms and spherical harmonic analysis are applied to establish new best bounds towards the counting and equidistribution of rational points on spheres and oth…