Motivic integration, the Langlands program, and rational points of bounded height KU Leuven
My research domains are algebraic geometry, number theory the Langlands program and their interaction. Number theory has a strong impact on our life, for example the internet, computers, information and code theory will develop, if number theory advances. A big problem in number theory is solving Diophantine equations, i.e. equations of polynomials with integer coefficients. With the development of algebraic geometry, the roots of Diophantine ...