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Our research spans a diverse range of topics, from fundamental abstract algebra to mathematical structures with applications in physics and biology.
We specialize in key areas of contemporary algebra, such as: algebraic groups, representation theory, homological algebra techniques, commutative algebra, invariant theory, Lie theory, semigroup theory, and universal algebra.
We actively partner with other research teams, connecting our work through quantized algebraic structures (to integrable systems and mathematical physics), group-based random walks (probability), algebraic data analysis (statistics), and applications of invariant theory and commutative algebra to model identifiability in mathematical biology.
Our department fosters a dynamic research environment, welcoming numerous international visiting scholars and doctoral candidates. We maintain a regular algebra seminar program, alongside specialized semigroup seminars and an algebra study group.