9 papers
Unbounded Topology of Nodal Sets of Harmonic Functions
Robert Koirala
For every integer \(n\ge 3\), every \(1\le \ell\le n-2\), and every sufficiently large integer \(m\), we construct harmonic functions \(u_{m,\ell}\) on the unit ball \(B_1(0)\subse…
Sharp Gaussian Isoperimetry along a Ricci Flow
Robert Koirala
We prove the sharp Gaussian isoperimetric inequality for conjugate heat-kernel measures along a Ricci flow via a monotonicity formula. As consequences, we obtain the exact Gaussian…
IceCube Second Track Data Release IceTracks-DR2: Data from 2008-2022 for Neutrino Source Searches
R. Abbasi, M. Ackermann, J. Adams +412
We present IceCube's latest release of muon track data for neutrino point-source searches, extending the previously published 10-year dataset to cover 14 years of observations (Apr…
Nested nodal loops for sums of Laplace eigenfunctions
Robert Koirala
We study nested loops in zero sets of sums of Laplace eigenfunctions on closed surfaces. In the real-analytic category, answering a question of Logunov, we prove a uniform bound fo…
Nested nodal loops of biharmonic functions
Javier Gómez-Serrano, Robert Koirala, Alexander Logunov
Given any \(n\in\mathbb{N}\), we construct a real-valued biharmonic polynomial on \(\mathbb{R}^2\) whose zero set contains a nest of \(n\) smooth, disjoint topological loops, meani…
Sensitivity Projections for Low-Mass Dark Matter Annihilation with the IceCube Upgrade
R. Abbasi, M. Ackermann, J. Adams +412
The IceCube Upgrade, an extension designed to enhance the IceCube Neutrino Observatory's detection of neutrinos with energies between 1 GeV and 500 GeV, will markedly improve IceCu…