Keywords: Applications of Differential Geometry and Sheaf Cohomology to Physics, Symmetries and Variational Principles, Non-Linear Models.

My broad research interests include applications of differential geometry and sheaf cohomology to mathematical physics, the theory of nonlinear phenomena, theoretical physics, ecology, models of visual cortex, and more. 

More specifically, I study geometric aspects of the formal calculus of variations concerning mainly variational sequences and, within such a picture, symmetries and conservation laws, Noether Theorems and the second variation, local variational problems, the relation between the existence of global critical sections and conservation laws.

Another research line of mine is the study of the relationships among symmetries, conservation laws and solutions in integrable nonlinear systems.

I am also interested in the study of epistemological foundations of sciences.

• Math. Dept.