The National Science Foundation (NSF) Division of Mathematical Sciences awarded a 5-year, $182,954 Project Grant to The Washington University in St. Louis to conduct research in algebraic combinatorics. The research aims to build connections between discrete structures and algebraic objects, with broad applications in mathematics and other sciences. Key research objectives include studying the combinatorial and geometric structure of Hessenberg varieties, and using topological data from these varieties to make progress on open positivity conjectures in algebraic combinatorics. The educational component of the project will train the next generation of scientists through a targeted mentoring program, including research opportunities for traditionally underrepresented students, as well as a new math outreach seminar. No sub-awards are planned for this grant.
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