Notre Dame mathematics professors Matthew J. Gursky and Xiaobo Liu were invited to speak at the International Congress of Mathematicians, held
Aug. 22-30 in Madrid, Spain.

The Congress is held once every four years and features the awarding of the Fields Medals, the highest honor in mathematics. Among this year’s winner was Grigori Perelman, a Russian mathematician who in 2002 solved one of the most enduring riddles in mathematics, called the Poincare Conjecture. Also winning a Field Medal were: Andrei Okounkov; Terence Tao; and Wendelin Werner.

Gursky spoke in a section on “Partial Differential Equations” while Liu spoke in the “Geometry” section.

Gurksy’s presentation was entitled “Conformal Invariants and Nonlinear Elliptic Equations.” Liu’s talk was entitled “Gromov-Witten Invariants and Moduli Spaces of Curves.”