We use spectral analysis to give an asymptotic formula for the number of matrices in SL(n, Z) of height at most T with strong error terms, far beyond the previous known, both for small and large rank
AbstractIn this article we will study what we call weighted counting functions on hyperbolic Riemann...
Let Q be a quadratic form of signature (n, 1), Γ a non-elementary discrete subgroup of G = SOQ(R) an...
We compute the second and third levels of the Lasserre hierarchy for the spherical finite distance p...
The hyperbolic lattice point problem asks to estimate the size of the orbit Γz inside a hyperbolic d...
Abstract. The hyperbolic lattice point problem asks to estimate the size of the orbit Γz inside a hy...
In this thesis we investigate two different lattice point problems in the hyperbolic plane, the clas...
For Γ a cocompact or cofinite Fuchsian group, we study the hyperbolic lattice point problem in conju...
Let $X(D,1) =\Gamma(D,1) \backslash \mathbb{H}$ denote the Shimura curve of level $N=1$ arising from...
We provide a sharp estimate for the asymptotic number of lattice zonotopes, inscribed in $[0,n ]^d$ ...
We establish effective counting results for lattice points in families of domains in real, complex a...
Lecture given at the Midwest Number Theory Conference for Graduate Students and Recent PhDs II, Febr...
We consider the lattice point problem corresponding to a family of elliptic paraboloids in Rd with d...
In this work we give an explicit formula for the Fourier coefficients of Eisenstein series correspon...
Given a Zariski-dense, discrete group, $\Gamma$, of isometries acting on $(n + 1)$-dimensional hyper...
Thesis advisor: Dubi KelmerWe prove a second moment formula for incomplete Eisenstein series on the ...
AbstractIn this article we will study what we call weighted counting functions on hyperbolic Riemann...
Let Q be a quadratic form of signature (n, 1), Γ a non-elementary discrete subgroup of G = SOQ(R) an...
We compute the second and third levels of the Lasserre hierarchy for the spherical finite distance p...
The hyperbolic lattice point problem asks to estimate the size of the orbit Γz inside a hyperbolic d...
Abstract. The hyperbolic lattice point problem asks to estimate the size of the orbit Γz inside a hy...
In this thesis we investigate two different lattice point problems in the hyperbolic plane, the clas...
For Γ a cocompact or cofinite Fuchsian group, we study the hyperbolic lattice point problem in conju...
Let $X(D,1) =\Gamma(D,1) \backslash \mathbb{H}$ denote the Shimura curve of level $N=1$ arising from...
We provide a sharp estimate for the asymptotic number of lattice zonotopes, inscribed in $[0,n ]^d$ ...
We establish effective counting results for lattice points in families of domains in real, complex a...
Lecture given at the Midwest Number Theory Conference for Graduate Students and Recent PhDs II, Febr...
We consider the lattice point problem corresponding to a family of elliptic paraboloids in Rd with d...
In this work we give an explicit formula for the Fourier coefficients of Eisenstein series correspon...
Given a Zariski-dense, discrete group, $\Gamma$, of isometries acting on $(n + 1)$-dimensional hyper...
Thesis advisor: Dubi KelmerWe prove a second moment formula for incomplete Eisenstein series on the ...
AbstractIn this article we will study what we call weighted counting functions on hyperbolic Riemann...
Let Q be a quadratic form of signature (n, 1), Γ a non-elementary discrete subgroup of G = SOQ(R) an...
We compute the second and third levels of the Lasserre hierarchy for the spherical finite distance p...