My research focus has so far been concentrated in the field of Analytic Combinatorics in Several Variables (ACSV). In particular, the study of Local Central Limit Theorems and computing asymptotics for algebraic generating functions. My research interests also extend more generally to the Algebraic Combinatorics, Combinatorial Game Theory and Mathematics Education.
Stephen Melczer, Tiadora Ruza (2024). Central Limit Theorems via Analytic Combinatorics in Several Variables. Electronic Journal of Combinatorics, Volume 31(2).
Torin Greenwood, Stephen Melczer, Tiadora Ruza, Mark C. Wilson (2022). Asymptotics of coefficients of algebraic series via embedding into rational series. Séminaire Lotharingien de Combinatoire, Proceedings of FPSAC 2022, Volume 86B, Article 30, 12p.