Nicolas Guay, Ph.D.
Contact
Professor, Faculty of Science - Mathematics & Statistical Sciences
- nguay@ualberta.ca
- Address
-
665 Central Academic Building
11324 - 89 Ave NWEdmonton ABT6G 2G1
Associate Chair, Faculty of Science - Mathematics & Statistical Sciences
- nguay@ualberta.ca
Overview
Research
Areas
Algebra, Representation Theory
Courses
MA PH 499 - Undergraduate Research Project
Undergraduate physics research project under the direction of a faculty member. Projects must involve a strong physics connection and involve some original research component. Prerequisites: A 300-level PHYS course and consent of the department. This course may be repeated but a student may obtain at most 6 units in PHYS 499 and MA PH 499.
MATH 298 - Problem Solving Seminar
Problem solving techniques (pigeonhole principle, invariants, extremal principle, etc.) and survey of problems from various branches of mathematics: calculus, number theory, algebra, combinatorics, probability, geometry, etc. This credit/no-credit course is intended for students interested in mathematics contests and participation in the Putnam Mathematical Competition will be required. Note: This course may be taken for credit up to four times. Prerequisite: consent of the instructor.
MATH 328 - Group Theory
Groups, subgroups, homomorphisms. Symmetry groups. Matrix groups. Permutations, symmetric group, Cayley's Theorem. Group actions. Cosets and Lagrange's Theorem. Normal subgroups, quotient groups, isomorphism theorems. Direct and semidirect products. Finite Abelian groups. Prerequisite: MATH 227 or 228. This course may not be taken for credit if credit has already been obtained in MATH 229.