Tomasz Popiel

Dr. Tomasz Popiel is a Lecturer in the School of Mathematics at Monash University, specializing in finite group theory, finite incidence geometry, and algebraic geometry over finite fields. His research explores the interplay between group actions on discrete structures and their geometric/combinatorial implications. He coordinates Monash’s Open Day and teaches advanced mathematics courses, including MTH2019 and MTH3150 in 2025 as chief examiner and unit coordinator.

His research focuses on finite group theory (e.g., sporadic groups like the Monster, Sylow subgroups), incidence geometry (e.g., generalized quadrangles, conic nets), and algebraic structures over finite fields. Notable contributions include studies on maximal subgroups of the Monster, prime graph recognition of sporadic groups, and combinatorial invariants in finite geometries.

Recent publications highlight advancements in group-theoretic methods, geometric configurations, and algorithmic approaches to group structures. His work bridges abstract algebra with geometric applications, emphasizing both theoretical rigor and computational techniques.

No scientific awards or grants are explicitly listed in the provided information.