14 citations · 37 across the 19 of their papers we have counts for
19 papers
Single-valued periods of meromorphic modular forms and a motivic interpretation of the Gross-Zagier conjecture
Francis Brown, Tiago J. Fonseca
A well-known conjecture of Gross and Zagier states that the values of the higher automorphic Green's function at pairs of points with complex multiplication in the upper half-plane…
Elliptic KZB connections via universal vector extensions
Tiago J. Fonseca, Nils Matthes
Using the formalism of bar complexes and their relative versions, we give a new, purely algebraic, construction of the so-called universal elliptic KZB connection in arbitrary leve…
A note on the Gauss-Manin connection for abelian schemes
Tiago J. Fonseca, Nils Matthes
We study differential forms on the universal vector extension of an abelian scheme in characteristic zero, and derive a new construction of the -group scheme st…
A geometric introduction to transcendence questions on values of modular forms
Tiago J. Fonseca
We survey some key developments in the theory of transcendental numbers, paying special attention to Nesterenko's theorem on values of Eisenstein series and emphasizing its underly…
Towards algebraic iterated integrals on elliptic curves via the universal vectorial extension
Tiago J. Fonseca, Nils Matthes
For an elliptic curve defined over a field , we study iterated path integrals of logarithmic differential forms on , the universal vectorial exte…
On coefficients of Poincaré series and single-valued periods of modular forms
Tiago J. Fonseca
We prove that the field generated by the Fourier coefficients of weakly holomorphic Poincaré series of a given level and weight coincides with the field generated…