54 citations · 126 across the 4 of their papers we have counts for
6 papers
Geometry of three--generated ideals in the plane
Felipe Monteiro
We study the geometry of parameter spaces of homogeneous ideals in k[x,y,z] minimally generated by three forms of the same degree, stratified by the degree of their base scheme and…
Numerical invariants for three-generated ideals
Marcos Jardim, Felipe Monteiro, Abbas Nasrollah Nejad +1
We study numerical invariants of homogeneous ideals generated by three forms, with particular emphasis on the interaction between the initial degree of the syzygy module, the multi…
The Bourbaki degree of the syzygy module of 2 4 matrices
Marcos Jardim, Felipe Monteiro, Abbas Nasrollah Nejad
We introduce and study the Bourbaki degree as a numerical invariant for \(2 \times 4\) matrices of homogeneous polynomials over a polynomial ring \(R = k[x_1, \dots, x_n]\). Th…
Quantum ergodicity in the many-body localization problem
Felipe Monteiro, Masaki Tezuka, Alexander Altland +2
We generalize Page's result on the entanglement entropy of random pure states to the many-body eigenstates of realistic disordered many-body systems subject to long range interacti…
A minimal model of many body localization
Felipe Monteiro, Tobias Micklitz, Masaki Tezuka +1
We present a fully analytical description of a many body localization (MBL) transition in a microscopically defined model. Its Hamiltonian is the sum of one- and two-body operators…
Non-ergodic extended states in the SYK model
T. Micklitz, Felipe Monteiro, Alexander Altland
We analytically study spectral correlations and many body wave functions of an SYK-model deformed by a one body contribution to the Hamiltonian. Our main result is the identificati…