• Algebra

    Algebra

    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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All courses for every first-year Science student will be delivered online this fall. A limited number of students in their second, third and fourth years will return to campus for part of the semester.

Algebra, Algebraic Geometry, and Number Theory

Algebra is the study of algebraic structures, that is, sets with a finite number of operations that satisfy a number of fixed axioms. Historically, algebra developed from the study of solutions of equations defined by polynomials. Algebraic Geometry refers to the area of mathematics devoted to the powerful correspondence between algebraic and geometric problems. Number Theory is the branch of mathematics that studies the algebraic structure of the integers.

At McMaster the research in these areas focus mainly on problems in combinatorial commutative algebra, equivariant algebraic and symplectic/Poisson geometry, and number theory, including (but not limited to) topics such as: Hessenberg varieties, L-functions, minimal free resolutions and syzygies, modular forms, Newton-Okounkov bodies, quiver loci, Schubert calculus, Schubert varieties, toric degenerations, toric varieties, and vertex operator algebras.

For more information about doing research in Number Theory, see the webpage of C. Franc. The research of M. Harada, J. Rajchgot, and A. Van Tuyl is broadly grouped under the umbrella of Combinatorial Algebraic Geometry; for more information on this research group, including information for potential students, visit the CAG website

This research area runs the Algebra and Algebraic Geometry seminar at McMaster

Mathematics & Statistics | McMaster University has 4 registered members
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Assistant Professor
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Research Interests:

Number Theory

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Professor and Canada Research Chair
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Research Interests:

Symplectic geometry, algebraic geometry

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Assistant Professor
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Research Interests:

Combinatorial Algebraic Geometry and Commutative Algebra

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Associate Professor and Associate Chair (Undergraduate)
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Research Interests:

Commutative algebra, algebraic geometry, and algebraic combinatorics

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