Research summary
Many problems in mathematics involve systems of equations. Algebraic geometry is the study of the solutions to such equations. As a core area of mathematics, it also has applications in quantum computing, cryptography and signal processing.
Dr. Megumi Harada, Canada Research Chair in Equivariant Symplectic and Algebraic Geometry, is exploring the relationship between equivariant symplectic geometry with other areas of mathematics, such as algebraic geometry and combinatorics. (Combinatorial geometry, or combinatorics, involves the study of graphs, which have applications in network theory and biology.) Harada and her research team are developing the theory of Okounkov bodies and Hessenberg varieties, both of which connect these research areas.