Tom Carroll

Analyst at the School of Mathematical Sciences, university-college-cork; author of carroll-geometric-function-theory (2024).

His account of his own formation is in the preface and it explains the book. Analysis “in the tradition of Hardy and Littlewood” was the Cork undergraduate diet in the 1980s; he then went to England to study with Walter Hayman and Phil Rippon. He credits Finbarr Holland, Donal Hurley, Brian Twomey, Paddy Barry and Hayman with his education in analysis.

What makes him useful to this spoke is not the lineage but what he does with it. Writing a second course meant there was no syllabus to inherit — “this consensus evaporates when it comes to a second course” — so he wrote §1.4, “What Is Not in This Book,” naming what he cut and where it is treated properly. He also concedes the choice was contestable: “many other topics could lay equal claim to being included.”

The corpus’s other authors argue about how to teach an agreed syllabus (h-jerome-keisler on foundations, thomas-judson on where applications go, david-stirzaker on formal definitions). Carroll is the first here who had to argue about what the syllabus is.

Related

carroll-geometric-function-theory · complex-analysis · university-college-cork