Members  
 
Current and Previous Phd Students  

The Graduate Program in Mathematics includes a number of courses that are relevant to discrete mathematics:
MATH650  Abstract Algebra  Offered every Spring  Elementary number theory, polynomial and abstract rings, ideals and quotient rings, PID's and Eclidean rings, groups, cyclic and Abelian groups, direct products, algebraic field extensions, splitting fields, field automorphisms, finite fields. (Prerequisite: Undergraduate abstract algebra.) 
MATH688  Combinatorics and Graph Theory I  Offered every Spring  Combinatorial enumeration, designs and geometries, graphs, set systems, partially ordered sets, existence and construction of various combinatorial objects, Ramsey theory. (Prerequisite: MATH650 or permission from instructor) 
MATH689  Combinatorics and Graph Theory II  Offered every Fall  Methods of linear algebra in combinatorics and graph theory, basics of coding theory and associated designs, number theory and cryptography, communication complexity. (Prerequisite: Knowledge of linear algebra) 
MATH826  Topics in Pure Mathematics  Offered every year or two  Topics vary from year to year and will be chosen from a variety of areas in pure mathematics (not necessarily discrete mathematics). The course is commonly, though not always, closely aligned to the research interests of the lecturer. (Prerequisite: Permission of instructor) 
MATH845  Groups and their Applications  Offered alternate Falls  Review of elementary group theory, permutation groups, group actions, Sylow theorems, semidirect and wreath products, classical matrix groups, automorphism groups of combinatorial structures, Polya enumeration. May also include representation theory, free groups, finite groups of isometries of Euclidean spaces. (Prerequisite: MATH650 or permission of instructor) 
MATH870  Reading in Mathematics  Offered when appropriate  A student or students who wish to study an area of mathematics which is not offered in a regular course but is closely aligned to a faculty member's areas of expertise can approach that faculty member about taking a reading course. In such cases, the work load and availability of the faculty member may or may not allow the proposed course to proceed. (Prerequisite: Permission of instructor) 