Grochow's research has two main thrusts (with deep underlying relations beneath): 1. Interactions between theoretical computer science and mathematics (particularly algebraic geometry, representation theory, and group theory), and 2. Developing the theory of complex systems and complex networks, and applying this theory with collaborators in a variety of fields, such as ecology, evolutionary biology, economics, climate, and beyond.

keywords

theoretical computer science, computational complexity, algebraic computation, algebraic complexity, algebraic algorithms, representation theory, algebraic geometry, group theory, complex systems, complex networks, complex dynamics, network science, theory of complex systems