John P. D’Angelo

Here are beamer files of talks given between 2011 and 2018. Links are being added soon.

Short Vita for John P. D’Angelo : EDUCATION: University of Pennsylvania, B.A. 1972  Princeton University, Ph. D. 1976 (Mathematics)  EMPLOYMENT: 1976-78 Moore Instructor, Massachusetts Institute of Technology  1978-82 Assistant Professor, University of Illinois  1982-1987 Associate Professor, University of Illinois 1987-2018 Professor, University of Illinois 2018-present Professor Emeritus, University of Illinois  1981 Visiting Scholar, Princeton University  1983 […]

Page 6. Item 1) of Theorem 1. “For each B \in V” should be “For each B \in W”. Page 37. In the first sentence of section 10, “there is basis” should be “there is a basis”. Page 67. Four lines from the bottom, the matrices on the left should be multiplied in the opposite […]

http://publish.illinois.edu/jpda-math/files/2023/06/IMG_4587-scaled.jpeg The Summer of Love was 1967. I first made it to Haight-Ashbury in 2023. You can read about my love of popular music in the post called “Listing My Life Away”.

TYPOS and CORRECTIONS Here are some typos and corrections in the first edition: Page 7. Exercise 1.7. The final equation should be $|p(e^i\theta)|^2 = f(\theta)$. Page 32. Proof of Corollary 1.7. In both displayed equations, exp(inx) should be exp(-inx) and exp(-inx) should be exp(inx). Page 33, just below formula (50), “convolution of the Fourier series” […]

MATH BOOKS Rational Sphere Maps Several Complex Variables and the Geometry of Real Hypersurfaces Mathematical Thinking: Problem Solving and Proofs (joint with Douglas B. West) Hermitian Analysis: From Fourier Series to Cauchy-Riemann Geometry. Hermitian Analysis (second edition) Inequalities from Complex Analysis An Introduction to Complex Analysis and Geometry Linear and complex analysis for applications BOOK […]

Here is the beamer file of my Midwest SCV talk in 2023. Please note the shout-out to Bob Dylan on the last page, from the song My Back Pages.

Symmetries paper from 2022.

My personal pop music history

I have published a book called Inequalities from Complex Analysis in the Carus monograph series. This book considers questions such as this: Given a polynomial on complex Euclidean space that is positive on some set, does it agree with the quotient of squared norms of holomorphic polynomials on that set? The book begins with the […]