Commutative algebra and graph theory are two vibrant areas of mathematics that have grown increasingly interrelated. At this interface, algebraic methods are applied to study combinatorial structures, ...

Jacob, Jobby. "Rankings (ordered colorings) of Graphs." Math. Colloquium. Hobart and William Smith Colleges. Geneva, NY. 11 Apr. 2019. Keynote Speech. Dobosh, Korrine, Samuel Kennedy, and Jobby Jacob.

Coxeter theory investigates groups generated by reflections and the geometric structures arising from their actions, such as root systems and Dynkin diagrams. This body of work underpins vast areas of ...

N. Alon, J. Spencer, The Probabilistic Method, Wiley, 1992. Additional course notes may be distributed. The main theme of the course will be concerned with applications of probabilistic methods in ...

Algebra is the discipline of pure mathematics that is concerned with the study of the abstract properties of a set, once this is endowed with one or more operations that respect certain rules (axioms) ...

Jan Stanislaw Mycielski, 92, passed away peacefully on January 18, 2025, at his home in Boulder, Colorado. Jan was a professor emeritus of mathematics at the University of Colorado at Boulder, known ...

Imagine a problem so fiendishly hard that one of the greatest mathematicians of the 20th century publicly mused that even alien civilisations ...