The study of of algebraic structures, or sets with a finite number of operations that satisfy a number of fixed axioms.

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Algebra the study of of algebraic structures, that is, sets with a finite number of operations that satisfy a number of fixed axioms. Algebra developed from the study of solutions of equations defined by polynomials and is now used as a tool in many areas of mathematics. Algebraic Geometry refers to the powerful correspondence between algebraic and geometric problems.

At McMaster the research in these areas focuses on problems in combinatorial commutative algebra, equivariant algebraic geometry, minimal free resolutions and syzygies, Newton-Okounkov bodies, and toric varieties.

Symplectic geometry, algebraic geometry

Commutative algebra, algebraic geometry, and algebraic combinatorics