Carly Briggs’ mathematical research in algebraic combinatorics involves using combinatorial objects to encode information about complex structures. In the classroom, she uses collaborative, active learning methods to make mathematics inclusive and accessible.
Briggs was first drawn to research in combinatorics because questions are often simply stated but require deep and beautiful mathematics to solve. Her research in algebraic combinatorics utilizes representation theory, a powerful tool for studying group symmetry, which involves encoding information in structures known as Kirillov-Reshetikhin (KR) crystals. Her work provides a way to translate between two models for KR crystals: the powerful but subtle quantum alcove model and the concrete, computation friendly tableaux model. Briggs has taught mathematics at the University at Albany, Sage College of Albany and SUNY Adirondack. Briggs is dedicated to using active learning methods in the classroom to create an atmosphere of inclusion and collaboration so that students can discover, rather than memorize, mathematical concepts. BA, SUNY New Paltz; MA and PhD, University at Albany. Briggs has been a visiting faculty member at Bennington since Fall 2018.