James P. Cossey

Dr. James P. Cossey is Professor in the Department of Mathematics at the University of Akron, specializing in the representation theory of finite groups including solvable groups, symmetric groups, and combinatorial aspects of group characters. His research investigates lifts of Brauer characters, vertex subgroups in solvable groups, and bijections related to the Alperin weight conjecture.

Teaching responsibilities include undergraduate and graduate courses: Linear Algebra, Calculus, Combinatorics, Abstract Algebra, and Fundamentals of Advanced Mathematics. Pedagogical approach emphasizes problem-solving techniques and foundational proof development.

Research contributions establish bounds on Brauer character lifts, vertex pair correspondence in groups of odd order, and combinatorial characterizations for symmetric groups. Recent work explores nilpotent blocks and Brauer graph diameters in solvable groups.