Pure & Applied Mathematics (Scholarly Publications)
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From positive geometries to a coaction on hypergeometric functions
(2020)It is well known that Feynman integrals in dimensional regularization often evaluate to functions of hypergeometric type. Inspired by a recent proposal for a coaction on oneloop Feynman integrals in dimensional regularization, ... 
A family of compact strictly pseudoconvex hypersurfaces in C^2 without umbilical points
(2018)We prove the following: For ϵ>0, let Dϵ be the bounded strictly pseudoconvex domain in ℂ2 given by (logz)2+(logw)2<ϵ2. The boundary Mϵ:=∂Dϵ⊂ℂ2 is a compact strictly pseudoconvex CR manifold without umbilical ... 
QCD Coupling from a Nonperturbative Determination of the ThreeFlavor Λ Parameter
(2017)We present a lattice determination of the Λ parameter in threeflavor QCD and the strong coupling at the Z pole mass. Computing the nonperturbative running of the coupling in the range from 0.2 to 70 GeV, and using ... 
High precision renormalization of the flavour nonsinglet Noether currents in lattice QCD with Wilson quarks
(SpringerOpen, 2019)We determine the nonperturbatively renormalized axial current for O(a) improved lattice QCD with Wilson quarks. Our strategy is based on the chirally rotated Schrödinger functional and can be generalized to other finite ... 
An Anisotropic preconditioning for the Wilson fermion matrix on the lattice
(2010)A preconditioning for the Wilson fermion matrix on the lattice is defined, which is particularly suited to the case when the temporal lattice spacing is much smaller than the spatial one. Details on the implementation of ...