This report is centred around tree-level scattering amplitudes in pure Yang–Mills theories,
the most prominent example is given by the tree-level gluon amplitudes of QCD. I will …

A bstract In this paper, we take a major step towards the construction and applications of an
all-loop, all-multiplicity amplituhedron for three-dimensional planar\(\mathcal {N}\)= 6 Chern …

A bstract The scattering amplitudes of planar\(\mathcal {N}\)= 4 super-Yang-Mills exhibit a
number of remarkable analytic structures, including dual conformal symmetry and …

A bstract We take the first step in generalizing the so-called “Schubert analysis”, originally
proposed in twistor space for four-dimensional kinematics, to the study of symbol letters and …

These are lecture notes intended to supplement my second lecture at the Current
Developments in Mathematics conference in 2014. In the first half of article, we give an …

A bstract The dual formulation of planar\(\mathcal {N}= 4\) super-Yang-Mills scattering
amplitudes makes manifest that the integrand has only logarithmic singularities and no …

A bstract We extend the applications of prescriptive unitarity beyond the planar limit to
provide local, polylogarithmic, integrand-level representations of six-particle MHV scattering …

A bstract We study on-shell diagrams for gravity theories with any number of super-
symmetries and find a compact Grassmannian formula in terms of edge variables of the …

A bstract We study remarkable connections between twistor-string formulas for tree
amplitudes in\(\mathcal {N}\)= 4 SYM and\(\mathcal {N}\)= 6 ABJM, and the corresponding …

A bstract In this paper, we present the two-loop correction to scattering amplitudes in three-
dimensional\(\mathcal {N}\)= 6 Chern-Simons matter theory. We use the eight-point case as …