Phymaths podcast # 43 || Dr. Jay Cummings

Dr. Jay Cummings is an assistant professor of mathematics at California State University, Sacramento. He is the last student of Ron Graham and the author of the LongformMath series, which includes two books on Real Analysis and Proofs. A list of his publications and the link to his books can be found below. Some links 1) Jay Cummings' website: https://longformmath.com/ 2) Real Analysis book link: https://www.amazon.com/Real-Analysis-Long-Form-Mathematics-Textbook/dp/1077254547 3) Proofs book link: https://www.amazon.com/Proofs-Long-Form-Mathematics-Textbook-Math/dp/B08T8JCVF1 4) List of his publications: https://scholar.google.com/citations?user=jFz_5p0AAAAJ&hl=en 5) Link to the high energy physics resources page on my website: https://hassaansaleem.com/graduate-level-theoretical-physics-resources-in-progress/ Contact Info My website: hassaansaleem.com Patreon: https://www.patreon.com/phymaths Follow on Instagram: https://www.instagram.com/hassaan.3142/ Follow on Twitter: https://twitter.com/Hassaan_PHY Time stamps (0:00) Coming Up (0:35) Intro (0:50) Introduction of the guest (1:28) Ron Graham as an advisor (6:32) Solving problems in Ph.D. (8:24) Learning new areas (11:00) Probabilistic method (13:07) Why the name "Long Form Math"? (15:59) Motivation behind definitions (17:47) Including memes in textbooks (21:13) Did he have to skip something? (24:38) Any favorite proofs book? (25:48) Complex and functional analysis books? (26:37) Aspects of writing a textbook (34:32) His upcoming book (History of Maths) (46:52) Becoming a top mathematician is getting difficult (50:26) Favourite unsolved problems (57:26) Favourite unsolved problem in graph theory (1:01:59) Base-dependent theorems (1:09:08) Popularizing mathematics (1:17:26) Papers Inspired by Tweets (1:26:00) People's questions (1:44:30) His book is coming in December (probably)