Steven G. Krantz, born in 1951 in San Francisco, has authored over 350 research papers and more than 150 books as a mathematician and scholar. Currently serving as Professor Emeritus of Mathematics at Washington University in St. Louis, his extensive body of work covers complex variables, harmonic analysis, partial differential equations, and differential geometry.
Academic Education and Foundation
Growing up in Redwood City, California, Krantz attended Sequoia High School, graduating in 1967. His undergraduate studies were completed at the University of California, Santa Cruz. He subsequently earned his Ph.D. in mathematics from Princeton University in 1974, working under the academic direction of advisors Elias M. Stein and Joseph J. Kohn.
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His research interests are broad, encompassing Lie theory, the corona problem, Hardy spaces, and geometric measure theory. Beyond theoretical mathematics, he has applied wavelet analysis to plastic surgery, developing facial recognition software, and has also authored software designed for the pharmaceutical industry. More recently, he collaborated with Arni S. R. Rao to publish research and host virtual seminars regarding the COVID-19 pandemic.
Editorial Roles and Teaching
Krantz has held faculty positions at the University of California, Los Angeles, Princeton University, Pennsylvania State University, and Washington University in St. Louis, where he also chaired the mathematics department. His editorial service includes roles as editor-in-chief for the Notices of the American Mathematical Society, the Journal of Mathematical Analysis and Applications, and the Journal of Geometric Analysis, which he founded.
Publications and Mentorship
His bibliography includes various monographs such as Function Theory of Several Complex Variables and The Geometry of Complex Domains. He has also explored the profession through titles like A Mathematician's Survival Guide and Mathematical Apocrypha. Throughout his career, he has mentored 9 Masters students and 20 Ph.D. students, while organizing international conferences, including events in Santa Cruz and at the Fields Institute in Toronto.
Fast facts
- Born: 1951, San Francisco
- Ph.D.: Princeton University, 1974
- Employer: Washington University in St. Louis
- Fellow: American Mathematical Society (2013)
- Erdős number: 1
- Publications: Over 350 research papers, over 150 books
Questions readers ask
What subjects does Steven G. Krantz focus on in his mathematical research?
His work spans several complex variables, harmonic analysis, partial differential equations, differential geometry, and various applications including wavelet analysis and the study of the COVID-19 pandemic.
Has Krantz received professional recognition for his work?
Yes, he was named a Fellow of the American Mathematical Society in 2012, and he has received awards such as the Chauvenet Prize in 1992 and the Beckenbach Book Prize in 1994.
Achievements
- Held posts at Washington University in St. Louis

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