
Research Topics
Discrete structures with emphasis on theories of coverage for dimers.
Projects:
i. Combinatorics of Domino Tilings
ii. Logic and Combinatorics
The Mathematical Physics occupies the space between Theoretical Physics and Pure Mathematics. Mathematically based physical theories, building models with the standard of rigor required of any mathematical area, and creates new mathematical structures.
Projects:
i. Fundamentals of physics
Algebraic Geometry studies properties of spaces locally defined by polynomial equations. Particularly important are properties invariant by birational transformations, that is, invariant by isomorphims over dense open sets, and not necessarily over the whole variety: birational geometry gives rise to nice classifications of curves, surfaces, and higher dimensional varieties. Directly linked with birational geometry is the study of moduli spaces, that is, spaces (variety, schemes, stacks) that parametrize isomorphism (or birational) classes of objects, that can be varieties, vector bundles, sheaves.
Projects:
i. Hilbert schemes of points..
ii.Moduli Spaces of Sheaves.
Research Topics  PDF

