Mathematics
My current research interests are in the areas of computational differential algebra, differential Galois theory and symbolic integration. In the 1970's and 1980's, several mathematicians (J. Ax, M. Bronstein, M. Rosenlicht, R. Risch, M. Singer) used techniques in differential algebra to study the structure of elementary field extensions and Liouvillian field extensions. The main goals are to study the problem of integration in finite terms and to understand certain number theoretic conjectures