26 citations · 121 across the 36 of their papers we have counts for
39 papers
Accessing Chern Numbers From Bloch Eigenstates Singularities
Rajesh Asapanna, Rabih El Sokhen, Paolo Aceto +7
We propose two methods to extract the Chern numbers of the Bloch bands of a two dimensional insulator, and apply them to a photonic lattice experiment. These two methods require th…
The Euclidean algorithm, lotuses and singularities
Patrick Popescu-Pampu
The anthyphairetic process leads from a pair (a,b) of coprime positive integers to the pair (1,1) by successive subtractions of the smaller number from the bigger one. This process…
An interview with Bernard Teissier
Patrick Popescu-Pampu
This text is a reworked version of a recorded interview with Bernard Teissier conducted in his house in Paris, on 28 and 29 September 2024.
An introduction to real oriented blowups in toric, toroidal and logarithmic geometries
Patrick Popescu-Pampu
This text is an introduction to the applications of rounding of complex log spaces (also known as Kato-Nakayama or Betti realization) to singularity theory. Log spaces in the sense…
Lotuses as computational architectures
Evelia R. García Barroso, Pedro D. González Pérez, Patrick Popescu-Pampu
Lotuses are certain types of finite contractible simplicial complexes, obtained by identifying vertices of polygons subdivided by diagonals. As we explained in a previous paper, ea…
Approximate roots
Patrick Popescu-Pampu
Given an integral domain , a monic polynomial of degree with coefficients in and a divisor of , invertible in , there is a unique monic polynomial such…