Inbo Gottlieb Fenves

collaborators

4 papers

math.AC2026

Minimal Resolutions of $k$ -divisible and $(k - 1)$ -dominant Ideals

Patrick Welte, Guillermo Alesandroni

We introduce invariants we call $k$ -divisibility and $d$ -dominance, which are combinatorial constraints on the minimal generators of monomial ideals. We then prove that $k$ (respec…

math.CA2026

Sharp lower bounds for the periodic maximal Schrödinger operator in higher dimensions

Inbo Gottlieb Fenves, Jiahao Tan

We prove sharp lower bounds for the Schrödinger maximal function on the torus T^d for all dimensions d at least 2, and as a corollary obtain sharp regularity conditions for pointwi…

math.CA2026

Maximal estimates for perturbations of the Schrödinger operator on $T^{d}$

Inbo Gottlieb Fenves, Jiahao Tan

We study $L_{x}^{p} L_{t}^{\infty}$ maximal estimates for exponential sums associated to $C^{2}$ graph hypersurfaces, motivated by Schrödinger maximal estimates on $T^{d}$ . We show th…

math.DS2026

Cusp Excursions, Lattice Points on Manifolds, and the Mizohata-Takeuchi Conjecture

Inbo Gottlieb Fenves

We prove new logarithm laws for cusp excursions in spaces of lattices, and produce quantitative lower bounds for lattice points near submanifolds, using tools from dynamics and the…

Minimal Resolutions of k-divisible and (k−1)-dominant Ideals

Sharp lower bounds for the periodic maximal Schrödinger operator in higher dimensions

Maximal estimates for perturbations of the Schrödinger operator on Td

Cusp Excursions, Lattice Points on Manifolds, and the Mizohata-Takeuchi Conjecture

Minimal Resolutions of $k$ -divisible and $(k - 1)$ -dominant Ideals

Maximal estimates for perturbations of the Schrödinger operator on $T^{d}$