1) Applications of algebraic geometry, differential geometry and representation theory to complexity theory,

2) Geometry of tensors and applications,

3) Exterior differential systems,

4) Geometry of projective varieties.",Professor,Mathematics,https://scholars.library.tamu.edu/vivo/display/n48f30df0 Matthew,Papanikolas,Professor,"I have research interests in number theory and arithmetic geometry. I'm interested in elliptic curves and Drinfeld modules, and in particular I work on special values of analytic functions, including L-series, modular forms, and hypergeometric functions, and their connections with periods and logarithms.",Professor,Mathematics,https://scholars.library.tamu.edu/vivo/display/n579c3af3 Volodymyr,Nekrashevych,Professor,"I have research interests in Group theory (groups generated by nite automata, self-similar and branch groups; hyperbolic groups);

Dynamical systems (hyperbolic dynamics; holomorphic dynamics; groups, inverse semigroups and groupoids acting on the Cantor set); Operator algebras (algebras associated to self-similar group actions, hyperbolic dynamical systems and tilings).",Professor,Mathematics,https://scholars.library.tamu.edu/vivo/display/n3b1b6e36