Barry Martin Simon

Quick Info

Born

16 April 1946
Brooklyn, New York, USA

Summary

Barry Simon is a mathematical physicist who has written over twenty books on mathematical physics which have become classics as well as papers which have led to him receiving many prizes such as the International Bolyai Prize, the Steele Prize for Lifetime Achievement and the Dannie Heineman Prize.

Biography

Barry Simon is the son of Hyman Simon (1910-1994) and Minnie Landa (1912-2002). Hyman's father, Yitzchak Slopak, was born in Grodno, Belarus and came to the United States in about 1902. He took the name Ike Simon when he landed in Ellis Island and the 1915 census records him as a tailor working in Brooklyn, New York. He is married to Bessie, whose original name was Basha Zolnetsky, who had also been in the United States for 13 years. They have four children, three boys and a girl, Hyman being the youngest of the four. Hyman studied at the City College of New York and graduated with an accounting degree. The Depression made jobs extremely difficult to obtain and he became a post office clerk. On 15 August 1935 Hyman Simon married Minnie Landa in Kings, New York. Minnie Landa's father, Shmuel Landa was born in Odessa, emigrated to the United States and married Zlata Kaplowitz in New York. Minnie studied at Hunter College but coming onto the job market in the Depression she became an assistant buyer at Macy's. Hyman and Minnie Simon had two children, Richard C Simon, born in Brooklyn, New York City on 7 December 1942 and Barry Martin Simon, the subject of this biography, born in Brooklyn, New York City on 16 April 1946.

Barry's education began at a Reform Hebrew elementary school close to the one-bedroom third floor apartment at 2410 Kings Hwy, Brooklyn, where he lived. New York had the SP program (Special Progress) operating at this time. There were two types: one for the most talented children that had them do the work of 7-9th grades in two years, essentially skipping 8th grade; the other type provided an enriched programme over the three 7-9th grades. The most talented children were identified with IQ tests and other citywide tests. Barry Simon qualified as one of the most talented students. Since his primary school could not offer the SP program, Simon spent two years at a junior high school about half a mile from his home. In the 9th grade he took the competitive tests for three specialised high schools. Offered a choice, he decided to study at James Madison High School which was almost adjacent to the apartment where he lived. He knew this school was of a high quality since his brother studied there. He graduated from the junior high school with the mathematics medal.

At James Madison High School, Simon was soon put into more advanced classes in mathematics and physics [50]:-

It was clear I was a "problem", so it was decided that trigonometry was something I could learn in a week or two, and I should just skip into the double-period senior maths class, which did calculus, and solid geometry, and advanced algebra. But mainly calculus. It was mainly seniors, but I was a junior. Normally, you took biology in your sophomore year, which I did, chemistry in your junior year, and physics in your senior year, but it was decided I should probably take physics in my junior year. I had an amazing teacher named Sam Marantz in that physics class.

Sam Marantz thought that high school physics was not for Simon and had him study Sears and Zemansky's two books, College Physics and University Physics. Simon's father knew about the Columbia University Science Honors Program which had been founded in 1958. Simon was interviewed and accepted so he took the subway to Columbia University every Saturday.

In 1962, when Simon was in his senior year at James Madison High School, he took the American High School Mathematics Examination sponsored by the Mathematical Association of America and the Society of Actuaries. Initially he received a score showing he had one of the 60 problems wrong. He complained that the question was ambiguous and this was accepted giving him a perfect score. He became the fifth student in the thirteen-year history of the examination to be awarded a perfect 150 [46]:-

"I've always liked science and maths," Barry said in an interview, "but I can't remember anything special that aroused my interest." A bridge "addict" since he learned to play at the age of 10, he participates in weekly duplicate bridge tournaments with his father as his partner. Mr Simon is a registered public accountant and a supervisor in the Post Office. Barry's mother teaches a fourth-grade class of intellectually gifted children at Public School 169, Brooklyn. Barry is the captain of the Madison High Maths Team and editor in chief of the school's Maths and Science magazine. For three years he has attended Columbia University's Saturday Science Honors Program for outstanding high school students, where he is currently doing work in group theory, vector analysis and computer programming. Last summer he attended the National Science Foundation Summer Institute at Cooper Union, where his brother is studying mechanical engineering. This year Barry won an honourable mention in the nation-wide Westinghouse Science Talent Search with a project in pure mathematics.

Simon received offers of admission to Harvard University, Massachusetts Institute of Technology, California Institute of Technology, Columbia University and Brooklyn College. Although his first thought was to accept the California Institute of Technology, Sam Marantz advised him to accept Harvard. He followed this advice and began his studies there in 1963. He was a member of the Harvard University team which was ranked first in the Twenty-sixth Putnam Competition in 1965 and was an Individual Putnam Fellow. Since he was studying a physics degree rather than mathematics he had only been selected as a reserve but had made the team when someone dropped out.

In [8] the following episode is recorded by one of Simon's fellow undergraduates at Harvard:-

As undergraduates at Harvard, several of us took the Real Variables course given by Professor Lynn H Loomis. Loomis came to class with few or no notes and lectured fluently. One day he was writing a proof on the blackboard and paused briefly, scratching his head. He stepped back from the board and looked into the audience where he saw Barry. Loomis said "Are you thinking what I'm thinking?" and Barry said "Yes." Loomis said "I thought so" and then went back and completed the proof. The rest of us had no idea what this thought was, since it was not verbalised by either of them! This incident was one of many that convinced us that Barry was uniquely gifted in such matters.

Simon had attended theoretical physics courses by Walter Gilbert, Paul Martin, and Julian Schwinger. In the middle of his junior year he was considering the best place to undertake studies for a Ph.D. and he spoke to one of his mathematics professors George Mackey. He asked Mackey where the best place would be for him to undertake research combining physics problems with mathematical proof. Mackey said that he should go to Princeton and have Arthur Wightman as his thesis advisor. Simon graduated with an A.B., summa cum laude, from Harvard University in 1966 and, later that year entered Princeton University to undertake research for a Ph.D. advised by Arthur Wightman. In fact he was given great support both by Wightman and Edward Nelson. Arthur Wightman (1922-2013) was an expert on the axiomatic approach to quantum field theory while Edward Nelson (1932-2014) was a mathematician who worked on mathematical physics and mathematical logic. Nelson wrote [27]:-

In the late 1960s, Barry was a graduate student in physics at Princeton and attended some courses I taught. I soon learned that I did not need to prepare with great thoroughness; it was enough to get things approximately right and Barry from where he was sitting would tell us how to get them precisely right.

In fact Simon attended Nelson's course on Tensor Analysis given in the spring of 1966. Nelson published the lecture notes from the course in 1967 and wrote in the Preface:-

I wish to thank the members of the class, particularly Barry Simon, for many improvements ...

On 18 June 1967 Simon married Toby Anita Appel (born 21 March 1945) at Congregation Shaare Torah [3]:-

Barry M Simon married Toby A Appel (B.A. Jackson College. '66, M.A. Harvard '67) in June 1967. On their honeymoon the couple taught pre-freshmen at Miles College, Birmingham, Alabama. Simon plans to continue his studies in physics at Princeton this fall, while Mrs Simon will be a research assistant at Educational Testing Service in New Haven.

Toby Appel had just received her masters degree in mathematics from Harvard University.

During his second year undertaking research, Simon's research advisor Wightman spent a year in Europe. He kept in close contact with Simon writing long letters with useful advice. Simon wrote [43]:-

He used to complain to me about physicists who claimed there was no need for proofs from first principles because accurate prediction was a proof the arguments were correct. The phrases "intellectual coherence" and "intellectual honesty" were part of his response.

In 1970 Simon was awarded a Ph.D. from Princeton University for his thesis Quantum Mechanics for Hamiltonians Defined as Quadratic Forms. In fact this thesis was extended into a book with the same title and published in 1971. You can see more information about this book, and over twenty other books authored by Simon, at THIS LINK.

Before the award of his Ph.D., Simon had a number of papers in print. The first, Harding's Representation is the Regular Representation (1968) was in the American Mathematical Monthly. Six further papers were published in 1969: On positive eigenvalues of one-body Schrödinger operators; Padé approximants and the anharmonic oscillator; On the growth of the number of bound states with increase in potential strength; On the growth of the ground‐state binding energy with increase in potential strength; Some pictorial compactifications of the real line; and Uniform convergence of Fourier series. The last two were published in the American Mathematical Monthly.

The paper On positive eigenvalues of one-body Schrödinger operators notes:-

The work for this paper was carried out at the Palmer Physical Laboratory, Princeton University, where the author is a Pre-Doctoral Fellow and was supported by the National Science Foundation.

The paper begins:-

The last twenty years have produced a rather extensive literature on the exact mathematical treatment of general features of the Schrödinger equation for one or many particles. One of the more intriguing questions concerns the presence of discrete eigenvalues of positive energy (that is square-integrable eigenfunctions with positive eigenvalues). There is a highly non-rigorous but physically appealing argument which assures us that such positive energy "bound states" cannot exist ...

It ends with the following acknowledgements:-

The author would like to thank Profs V Bargmann, J Weidmann and A Wightman for their interest in this paper. I am indebted to the National Science Foundation for fellowship support during the course of this work.

Also before the award of his Ph.D., in 1969 Simon was appointed as an Instructor in the Department of Mathematics of Princeton University. He became an Assistant Professor in the Departments of Mathematics and Physics at Princeton in 1970. Simon's first marriage had not worked out and, in January 1971, he married Martha Katzin. Martha was the daughter of the research chemist Leonard I Katzin and Alice Ginsburg. The following was written in 2006 [27]:-

In 1968, Martha Katzin entered Princeton Graduate School in Mathematics where she eventually got her Ph.D. under the direction of Robert Gunning. In January 1971, shortly after Barry became an Assistant Professor at Princeton, they were married. Martha has taught in a variety of schools in the New York/New Jersey area and then California and is currently a Lecturer in Mathematics at California State University at Northridge. Barry and Martha have five children Rivka, Benjamin Pesach, Zvi, Aryeh and Chana ...

In 1972 Simon was promoted to Associate Professor in the Departments of Mathematics and Physics at Princeton. He spent 1972-73 on leave as a Visiting Professor at the Institut des Hautes Études Scientifiques, Bures-sur-Yvette, France and at the Eidgenössische Technische Hochschule, Zurich, Switzerland. While at ETH he gave a series of lectures in the spring of 1973 which became the book The $P(\phi)_{2}$ Euclidean (quantum) field theory (1974). Raymond Streater writes in the review [45]:-

This book is a phenomenon, and the author's power over detail is remarkable.

For more information about this book, see THIS LINK.

Let us note that this was not Simon's second book since, in 1972, the first volume of his four volume treatise written jointly with Michael Reed, Methods of modern mathematical physics, was published. Michael Charles Reed (born 1942), had studied at Yale, then undertook research for a Ph.D. at Stanford University. He was awarded a Ph.D. in 1969 for his thesis On the Self-Adjointness of Quantum Fields and Hamiltonians. Information about all four volumes of Reed-Simon is available at THIS LINK.

In 1976 Simon was promoted to full professor in the Departments of Mathematics and Physics at Princeton. He spent 1976-77 on leave as Visiting Professor at Department of Physics at Yeshiva University, a Jewish university in New York City. Three years later, he spent 1980-81 on leave as a Sherman Fairchild Distinguished Visiting Scholar at the California Institute of Technology. In fact although he remained on the faculty at Princeton until 1981, he did not return there since in 1981 he was appointed Professor of Mathematics and Theoretical Physics at California Institute of Technology. In 1984 he was named IBM Professor of Mathematics and Theoretical Physics at California Institute of Technology, a position he retained until he became Emeritus in 2016.

Yosi Avron described the Mathematical Physics seminars at Princeton [8]:-

There was an outside speaker most of the time. Wigner would usually show up and ask his typical Wignerian questions. Barry would sit in the audience and write a paper. From time to time he would look up from his notes and ask a question that would unsettle most speakers: Someone in the audience seemed to know more about what he was talking about than himself. Sometimes, at the end of the talk, Barry would go to the board and give his version of the proof, which was always slick.

Evans Harrell relates a story which illustrates not only Simon's exceptional knowledge of published mathematics but also his skill at rapidly proving theorems [8]:-

Barry has always been remarkable for his vast knowledge of mathematics, so it was many years before I can recall ever telling him a published theorem he didn't already know. One day I saw Barry in Princeton shortly after a meeting and told him about an old inequality for PDEs, which, as I could tell from his intent look, was new to him. I said, "It seems to be useful. Do you want to see the proof?" His response was "No, that's OK." Then he went to the board and wrote down a flawless proof on the spot.

In 1974 Simon was an invited speaker at the International Congress of Mathematicians in Vancouver. He gave the talk Approximation of Feynman Integrals and Markov Fields by Spin Systems in the Mathematical Physics and Mechanics Section. He began the talk as follows:-

In this talk I will discuss a similarity in the mathematical structures of two physically quite different classes of systems: the Markov processes associated with quantum mechanical anharmonic oscillators and field theories and the family of lattice models for ferromagnets. In fact, we will see that systems from the first class are limits of systems from the second class. This approximation is on two levels, the first due to Guerra, Rosen, and Simon [1973] and the second to Simon and Griffiths [1973]. These approximations, their extension and the development of the Ising model methods in constructive quantum field theory made available by them have been a major theme in constructive field theory during the past two and a half years.

Simon has received many honours for his remarkable achievements. He was elected fellow of the American Physical Society in 1981 and, in the same year, he was awarded the Medal of the International Academy of Atomic and Molecular Science. In 1982 he was awarded the Stampacchia Prize by the Scuola Normale Superiore in Pisa, Italy. He was elected a corresponding member of the Austrian Academy of Sciences in 1990, elected a fellow of the American Academy of Arts and Sciences in 2005, and elected a fellow of the American Mathematical Society in 2012. He was awarded the Henri Poincaré Prize by the International Association of Mathematical Physics in 2012, the Bolyai Prize by the Hungarian Academy of Sciences in 2015, the Steele Prize for Lifetime achievements by the American Mathematical Society in 2016, and the Dannie Heineman Prize for Mathematical Physics from the American Physical Society in 2018. He was elected to the National Academy of Sciences in 2019 and made a SIAM (Society for Industrial and Applied Mathematics) fellow in 2023. SIAM gave the following citation [51]:-

Barry Simon, California Institute of Technology, is being recognised for outstanding originality in contributions to spectral theory, mathematical physics, and orthogonal polynomials, as well as strong research leadership through supervision.

You can find more information about Simon winning the prizes just mentioned at THIS LINK.

On Simon's 60th birthday celebration in 2006, the following was written about his contributions [27]:-

A gifted and lucid expositor of science, encyclopaedic in his knowledge, and a grand master of mathematical structure and abstract analysis, Barry has been a phenomenal force in mathematical physics and applied mathematics in the broadest sense. As the acknowledged and undisputed authority on spectral theory for Schrodinger operators, he created a school, and much of what we know today about spectral phenomena, including exotic aspects in connection with singular continuous spectra, is due to Barry and co-workers around him. While in recent years Barry's focus has been primarily on problems in nonrelativistic quantum mechanics and orthogonal polynomials, his research has had great breadth, with significant contributions to quantum field theory, statistical mechanics, and abstract functional analysis.

For more details about his exceptional contributions, see the Laudation for Barry Simon's Henri Poincaré Prize at THIS LINK.

He has been invited to give many lectures throughout his career but let us mention only some he has given after he retired. He delivered the Sackler Lecture at the Bohr Institute, University of Copenhagen in 2015, the first Lars Ahlfors Lecture at Brigham Young University in 2016, the University of Haifa Distinguished Lecture Series in Mathematics in 2018, the Baylor Lectures Series in Mathematics in 2018, the Lezioni Leonardesche in Milan in 2018, and he was the DeLong Lecturer at the University of Colorado in 2019-2020.

He has served on the editorial board of several leading journals. For example: the Journal of Operator Theory; the Journal of Statistical Physics; the Journal of Mathematical Physics; Communications in Mathematical Physics; the Duke Mathematical Journal; the Journal of Approximation Theory; Inverse Problems and Imaging; and the Journal of Spectral Theory.

He supervised eleven graduate students at Princeton and twenty graduate students at Caltech.

Given the number of books and papers that Simon has written, one is tempted to thing that the Barry Simon who has written many books and papers on Windows and PCs must be a different person with the same name. It is, however, the same Barry Simon and the books, co-authored with Woody Leonhard, are not short pamphlets being works of between 750 and 1100 pages.
For more details about these books, see THIS LINK.

Let us end with a quotes from Jonathan Breuer [26]:-

Barry's mathematical prowess, his speed, his depth of insight, his unique ability to see directly to the heart of a problem or a proof are well known to his collaborators and have become legendary through their stories. Slightly less discussed, perhaps, is Barry's leadership and, in particular, his dedication to the advancement of the mathematical fields with which he is associated.

and from Andrei Martínez-Finkelshtein [26]:-

Barry has a vast culture. Not only does his personal toolbox contain so many mathematical results, theories, formulas, and ideas, but he masterfully applies them elsewhere. He has quite wide interests: computers and politics, just to mention two of them. He knows a lot about these topics and discusses them with passion. A preferred place for such discussions was the so-called "brown bag meetings" at Caltech, right after his seminars. One day Barry was regretting that he was spending too much time following political news, and I wondered what more he could have done without "wasting" this time.

Other Mathematicians born in USA

References (show)

Announcement of Engagement, Asbury Park Press (Tuesday, 29 November 1966).
Announcement of Marriage, Asbury Park Press (Saturday, 17 June 1967).
Announcement of Marriage, Harvard Alumni Bulletin 70 (1967).
H Araki, Review: The statistical mechanics of lattice gases. Vol. I, by Barry Simon, Mathematical Reviews MR1239893 (95a:82001).
Barry Simon, I.B.M. Professor of Mathematics and Theoretical Physics, Emeritus, California Institute of Technology Mathematics (2025).
http://math.caltech.edu/simon/simon.html
Barry Simon, Academic Dictionaries and Encyclopedias, Academic (2025).
https://en-academic.com/dic.nsf/enwiki/1478095
Barry Simon. Corresponding Member of the Division of Mathematics and Natural Sciences abroad since 1990, Austrian Academy of Sciences (2025).
https://www.oeaw.ac.at/en/m/simon-barry
Barry Simon's 60th Birthday Celebration: Reminiscences of Friends, Relatives, and Colleagues, California Institute of Technology Mathematics (5 May 2006).
http://www.math.caltech.edu/SimonFest/stories.html
Barry Simon, Dannie Heineman Prize for Mathematical Physics, American Physical Society (2025).
https://www.aps.org/funding-recognition/prize/dannie-heineman
Barry Martin Simon, Mathematics Genealogy Project (2025).
https://mathgenealogy.org/id.php?id=11905
Barry Martin Simon, Member, American Academy of Arts and Sciences (3 October 2024).
https://www.amacad.org/person/barry-martin-simon
R R Chernoff, Review: Methods of modern mathematical physics, by Michael Reed and Barry Simon, Mathematical Reviews MR0493419 (58 #12429a).
W Clavin, Lifetime of Numbers: Q&A with Barry Simon, California Institute of Technology (10 August 2016).
https://www.caltech.edu/about/news/lifetime-numbers-qa-barry-simon-51679
Dannie Heineman Prize for Mathematical Physics 2018, American Physical Society (2025).
https://www.aps.org/funding-recognition/prize/dannie-heineman
M Demuth, Review: Trace ideals and their applications, by Barry Simon, Mathematical Reviews MR0541149 (80k:47048).
M Demuth, Review: Schrödinger operators with application to quantum mechanics and global geometry, by H L Cycon, R G Froese, W Kirsch and B Simon, Mathematical Reviews MR0883643 (88g:35003).
P L Duren, Review: Orthogonal polynomials on the unit circle, by Barry Simon, Mathematical Reviews MR2105088 (2006a:42002a).
H Dym, Review: Szegő's theorem and its descendants. Spectral theory for $L^2$ perturbations of orthogonal polynomials, by Barry Simon, Mathematical Reviews MR2743058 (2012b:47080).
W Farris, Review: Methods of modern mathematical physics, by Michael Reed and Barry Simon, Bulletin of the American Mathematical Society 2 (3) (1980), 522-530.
M J Feigenbaum, Review: Methods of modern mathematical physics. I. Functional analysis, by Michael Reed and Barry Simon, Transport Theory and Statistical Physics 2 (4) (1972), 373-375.
F Gesztesy, Review: A Comprehensive Course in Analysis Part 1. Real analysis, Mathematical Reviews MR3408971.
F Gesztesy, Review: A Comprehensive Course in Analysis Part 2A. Basic complex analysis, Mathematical Reviews MR3443339.
F Gesztesy, Review: A Comprehensive Course in Analysis Part 2B. Advanced complex analysis, Mathematical Reviews MR3364090.
F Gesztesy, Review: A Comprehensive Course in Analysis Part 3. Harmonic analysis, Mathematical Reviews MR3410783.
F Gesztesy, Review: A Comprehensive Course in Analysis Part 4. Operator theory, Mathematical Reviews MR3364494.
F Gesztesy, E M Harrell, P A Deift, L Rosen, J Fröhlich and M Reed, From Mathematical Physics to Analysis: A Walk in Barry Simon's Mathematical Garden, Notices of the American Mathematical Society 63 (7) (2016), 740-752; 63 (8) (2016), 878-889.
F Gesztesy, P Deift, C Galvez, P Perry and W Schlag, Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon's 60th Birthday (American Mathematical Society (2007).
https://www.ams.org/books/pspum/076.1/pspum076.1-endmatter.pdf
J Glimm, Review: Functional integration and quantum physics, by Barry Simon, American Scientist 68 (2) (1980), 228.
J A Goldstein, Review: Methods of modern mathematical physics. I. Functional analysis, by Michael Reed and Barry Simon, The American Mathematical Monthly 80 (10) (1973), 1152-1153.
A Josephs, Announcing Jew in the City's 2014 Orthodox Jewish All Stars!!, Jew in the City (21 October 2014).
P B Kurasov, Review: Trace ideals and their applications (Second edition), by Barry Simon, Mathematical Reviews MR2154153 (2006f:47086).
S S Kutateladze, Review: Convexity. An analytic viewpoint, by Barry Simon, Mathematical Reviews MR2814377 (2012d:46002).
V A Malyshev, Review: Functional integration and quantum physics, by Barry Simon, Mathematical Reviews MR0544188 (84m:81066).
J E McCarthy, Review: Loewner's theorem on monotone matrix functions, by Barry Simon, Bulletin of the American Mathematical Society 57 (4) (2020), 769-684.
MTA International Bolyai Prize goes to Barry Simon, Hungarian Academy of Sciences (2025).
https://web.archive.org/web/20151222174649/http://mta.hu/news_and_views/mta-international-bolyai-prize-goes-to-barry-simon-135978
R G Newton, Review: Methods of modern mathematical physics. III. Scattering theory, by Michael Reed and Barry Simon, American Scientist 68 (2) (1980), 206.
L J Patton, Review: Loewner's theorem on monotone matrix functions, by Barry Simon, Mathematical Reviews MR3969971.
I E Segal, Review: The $P(\Phi)_2$ Euclidean (quantum) field theory, by Barry Simon, American Scientist 63 (6) (1975), 718.
Simon family, ancestry.com.
B Simon, Tales of our Forefathers, Rocky Mountain Mathematical Physics Seminar (20 November 2020).
https://www.youtube.com/watch?v=vu1Vf179bh4
B Simon, More Tales of our Forefathers Part 1, Rocky Mountain Mathematical Physics Seminar (24 November 2020).
https://www.youtube.com/watch?v=DEgn6zG0lX4
B Simon, More Tales of our Forefathers Part 2, Rocky Mountain Mathematical Physics Seminar (24 November 2020).
https://www.youtube.com/watch?v=6JU0XN2MxCw
B Simon, In Memory of Arthur Strong Wightman, Notices of the American Mathematical Society 62 (3) (2015), 249-257.
T Spencer, Review: Quantum mechanics for Hamiltonians defined as quadratic forms, by Barry Simon, Mathematical Reviews MR0455975 (56 #14207).
R Streater, Review: The $P(\Phi)_2$ Euclidean (quantum) field theory, by Barry Simon, Mathematical Reviews MR0489552 (58 #8968).
R H Terte, One Student Plus one Challenge Equals One Perfect Math Score, The New York Times (2 May 1962).
Twenty-sixth Competition, Individual Putnam Fellows 1965, Mathematical Assocoiation of America (2025).
http://web.archive.org/web/20180411195943/https://maa.org/programs-and-communities/member-communities/maa-awards/putnam-competition-individual-and-team-winners
M Vogel, What is it about Brooklyn's James Madison High?, amNY (2025).
https://www.amny.com/opinion/what-is-it-about-brooklyn-s-james-madison-high-1-10529505/
A Wawrzynczyk, Review: Representations of finite and compact groups, by Barry Simon, Mathematical Reviews MR1363490 (97c:22001).
D Zierler, Barry Simon, Mathematical Physicist, Caltech Heritage Project (7 July 2022).
https://heritageproject.caltech.edu/interviews-updates/barry-simon
SIAM Announces Class of 2023 Fellows, Society for Industrial and Applied Mathematics (23 March 2023).
https://www.siam.org/publications/siam-news/articles/siam-announces-class-of-2023-fellows

Additional Resources (show)

Other pages about Barry Simon:

Other websites about Barry Simon:

Honours (show)

Honours awarded to Barry Simon

Written by J J O'Connor and E F Robertson
Last Update September 2025