Benjamin Braun

Benjamin Braun is a Professor of Mathematics at the University of Kentucky, serving as the Director of Graduate Studies in the Department of Mathematics (College of Arts & Sciences). His research focuses on geometric, algebraic, and topological combinatorics, with particular emphasis on polytopes, integer points in polyhedra, and combinatorial algebra. He also investigates interdisciplinary topics such as active learning, mathematics education, and the integration of critical theory (including feminist and reader-response perspectives) into STEM disciplines.

His work bridges pure and applied mathematics, addressing areas like Ehrhart theory, flow polytopes, and social justice in education. He co-organizes the University of Kentucky Mathematics Community and Ethics Working Group, fostering dialogue on ethics and societal impacts in mathematical research. Braun’s contributions span over 50 peer-reviewed articles, with recent work emphasizing the intersection of mathematics with pedagogy and equity.

Research interests include:

• Algebraic and topological combinatorics
• Mathematics education reform
• Interdisciplinary applications of combinatorics

Notable research trends reflect his dual focus on foundational mathematics and educational innovation. Articles from 2023–2025 highlight studies on Ehrhart polynomials, flow polytopes, and the role of identity and belief systems in student success. His scholarship of teaching and learning emphasizes student-centered assessment and institutional support structures.

Braun’s professional service includes leadership in graduate education and curriculum development. His website (braunmath) provides access to research, teaching materials, and collaborative projects.