- creutzig@ualberta.ca

**Areas**

Conformal Field Theory, Modular Forms & Lie Algebras

Symmetries in physics; basic concepts of group theory and representation theory; finite groups; continuous groups; orthogonal and unitary groups; Lie groups; spinor representations; Lorentz and Poincare groups. Prerequisite: MATH 225 or MATH 227.

Winter Term 2021Integers. Mathematical induction. Equivalence relations. Commutative rings, including the integers mod n, complex numbers and polynomials. The Chinese remainder theorem. Fields and integral domains. Euclidean domains, principal ideal domains and unique factorization. Quotient rings and homomorphisms. Construction of finite fields. Applications such as public domain encryption, Latin squares and designs, polynomial error detecting codes, and/or addition and multiplication of large integers. Prerequisite: MATH 102, 125 or 127. Note: This course may not be taken for credit if credit has already been obtained in MATH 326.

Fall Term 2020