77 citations · 417 across the 44 of their papers we have counts for
46 papers
Tropical resolutions of configuration hypersurfaces
Daniel Bath, Graham Denham, Mathias Schulze +1
Configuration polynomials generalize the Kirchhoff polynomial of a graph, as well as the Symanzik polynomials that appear in the denominators of Feynman integrands. The configurati…
Hypersurface singularities with monomial Jacobian ideal
Raul Epure, Mathias Schulze
We show that every convergent power series with monomial extended Jacobian ideal is right equivalent to a Thom-Sebastiani polynomial. This solves a problem posed by Hauser and Schi…
Limit spectral distribution for non-degenerate hypersurface singularities
Patricio Almirón, Mathias Schulze
We establish Kyoji Saito's continuous limit distribution for the spectrum of Newton non-degenerate hypersurface singularities. Investigating Saito's notion of dominant value in the…
Configuration polynomials under contact equivalence
Graham Denham, Delphine Pol, Mathias Schulze +1
Configuration polynomials generalize the classical Kirchhoff polynomial defined by a graph. Their study sheds light on certain polynomials appearing in Feynman integrands. Contact…
Graph hypersurfaces with torus action and a conjecture of Aluffi
Graham Denham, Delphine Pol, Mathias Schulze +1
Generalizing the star graphs of Müller-Stach and Westrich, we describe a class of graphs whose associated graph hypersurface is equipped with a non-trivial torus action. For such g…
Algebraic aspects of hypergeometric differential equations
Thomas Reichelt, Mathias Schulze, Christian Sevenheck +1
We review some classical and modern aspects of hypergeometric differential equations, including -hypergeometric systems of Gel'fand, Graev, Kapranov and Zelevinsky. Some recent…