Darij Grinberg

Summary

Darij Grinberg is an Assistant Professor at Drexel University's Department of Mathematics. His research focuses on algebra, combinatorics, and their intersections, with notable contributions to Hopf algebras, binomial coefficients modulo primes, and combinatorial inequalities. He has taught a variety of courses, including Graph Theory, Algebraic Combinatorics, and Discrete Mathematics, both at Drexel and previously at the University of Minnesota and MIT. His teaching and research emphasize problem-solving techniques and rigorous mathematical exposition. Grinberg is actively involved in writing detailed lecture notes and expository papers aimed at both undergraduate and graduate audiences.

Education and Background

While explicit details of his education are not provided, his extensive publication record and academic roles suggest a strong background in mathematics, including advanced studies in algebra and combinatorics.

Research Interests

Grinberg's work spans several areas within algebra and combinatorics, including:

• Algebraic Combinatorics: Focus on Hopf algebras, symmetric functions, and combinatorial structures.
• Number Theory: Investigations into binomial coefficients modulo primes and congruences.
• Discrete Mathematics: Contributions to graph theory, enumeration problems, and problem-solving techniques.

Teaching

He has taught courses such as:

• Graph Theory (Drexel, Spring 2025)
• Algebraic Combinatorics (Drexel, 2021–2024)
• Enumerative Combinatorics (Drexel, 2019–present)
• Discrete Mathematics (Undergraduate-level, Drexel)

Publications and Notes

Grinberg has authored numerous papers and lecture notes, including:

• Notes on the combinatorial fundamentals of algebra (2015)
• On binomial coefficients modulo squares of primes (2017)
• Fleck's binomial congruence using circulant matrices (2016)

His work often bridges foundational theory with problem-solving applications, particularly in mathematical competitions and journals.