Pure & Applied Mathematics (Scholarly Publications)
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Characters, coadjoint orbits and DuistermaatHeckman integrals
(2021)The asymptotics of characters of irreducible representations of a compact Lie group G for large values of the scaling factor k are given by DuistermaatHeckman (DH) integrals over coadjoint orbits of G. This phenomenon ... 
TT deformations of nonrelativistic models
(2021)The lightcone gauge approach to TT¯¯¯¯ deformed models is used to derive the TT¯¯¯¯ deformed matrix nonlinear Schrödinger equation, the LandauLifshitz equation, and the Gardner equation. Properties of onesoliton solutions ... 
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 ?? 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 ...