A bstract We present a generalization of the symbol calculus from ordinary multiple
polylogarithms to their elliptic counterparts. Our formalism is based on a special case of a …

A bstract We investigate iterated integrals on an elliptic curve, which are a natural genus-
one generalization of multiple polylogarithms. These iterated integrals coincide with the …

A bstract We relate one-loop scattering amplitudes of massless open-and closed-string
states at the level of their low-energy expansion. The modular graph functions resulting from …

We investigate relations between elliptic multiple zeta values (eMZVs) and describe a
method to derive the number of indecomposable elements of given weight and length. Our …

Multiple modular values are a common generalisation of multiple zeta values and periods of
modular forms, and are periods of a hypothetical Tannakian category of mixed modular …

A bstract We study generating series of torus integrals that contain all so-called modular
graph forms relevant for massless one-loop closed-string amplitudes. By analysing the …

We introduce a new family of real-analytic modular forms on the upper-half plane. They are
arguably the simplest class of 'mixed'versions of modular forms of level one and are …

An explicit construction is presented of homotopy-invariant iterated integrals on a Riemann
surface of arbitrary genus in terms of a flat connection valued in a freely generated Lie …

A bstract We study generating functions of moduli-space integrals at genus one that are
expected to form a basis for massless n-point one-loop amplitudes of open superstrings and …

A bstract Elliptic modular graph functions and forms (eMGFs) are defined for arbitrary graphs
as natural generalizations of modular graph functions and forms obtained by including the …