Wadim Zudilin

I will overview some recent progress on the Mahler measure of two-variable polynomials related to special elliptic families; these
are known as Boyd's conjectures. The principal machinery was created in our joint work with Mat Rogers and further developed by Anton Mellit and François Brunault. The talk will culminate with new results on Boyd's conjectures for a hyperelliptic family obtained in our joint work with Marie-José Bertin.