Online Selecta |
Bibliography | Students | 60th Birthday (Simonfest) |

Papers | Vitae | Mentees | 70th Birthday |

Coauthors |

I.B.M. Professor of Mathematics and Theoretical Physics, Emeritus

Online Selecta

Barry elected to the U.S. National Academy of Sciences NAS Press Release Caltech Press Release

Nature Interview with Barry

The mathematician who helped to reshape physics Nature 584 (2020) 20 (Aug 6, 2020) Online Downloadable PDF

In 2019, Springer published Loewner's Theorem on Matrix Monotone Functions, Grundlehren der mathematischen Wissenschaften 354, 2019 [order page]

Barry wins AIP/APS Dannie Heineman Prize for Mathematical Physcs AIP Announcement APS Full Prize List Caltech Press Release APS Page of All Winners

AMS Notices Articles in August and September 2016 issues, Download: Full August (with cover of Barry), Part 1, Part 2, or combined -- IAMP Bulletin Version Caltech Interview with Barry

Barry wins AMS Steele Prize for Lifetime Achievement! AMS Announcement. Caltech Press Release. OP-SF Net Announcement. AMS Page of All Winners. AMS Notices Report on Prize

Barry's 70th birthday conference at Fields Institute (Toronto) and CRM (Montreal) -- August 22-September 1, 2016.

From the 70th birthday conference: Video of Banquet Talks Poems (or approximations thereof) for Barry

In
the second half of 2015, the AMS published Barry’s 5 Volume A Comprehensive Course in
Analysis all at the same time. Here is a preview.
Here is the facebook
page.

Here is the order page.
You can download the Ultimate Companion here. Here is a review from MAA Reviews and from Notices AMS .

Barry wins Bolyai Prize. Pictures from the Prize Ceremony. Barry's acceptance talk Totik Article on.the prize Hungarain Academy Interview

Barry wins Poincaré Prize. Citation | Photos | Laudatio

For the web page of Barry’s book on convexity, click here.

For the web page of Barry’s book on Szegö’s theorem, click here.

For the web page of Barry’s OPUC book, click here.For Paul Nevai’s review of Barry’s OPUC book, click here

Corrected and extended 2nd printing of *Schrödinger
Operators with Application to Quantum Mechanics and Global Geometry by
H. Cycon, R. Froese, W. Kirsch, and B. Simon *is now
available.

Click here
for a complete list of B. Simon’s publications with links to MathSciNet
and articles.

For Barry’s CV, click here
and for a pdf bibliography, click here

Click here for picture of Barry with Mike Reed (of Reed-Simon) at Reed’s 65th birthday celebration, May 2007.

An historic picture
from a conference, circa 1983

For Program, Pictures, Video from SimonFest (held March, 2006), click
here.

For picture of Swansea Honorary Fellowship (with Aubrey
Truman, taken July 2006), click here.

For pictures from Barry’s Honarary degree cermony in Munich (and the associated visit to Munich), click here

A picture from the mid-80’s

A.B., Harvard College, 1966

Ph.D. in Physics, Princeton University, 1970

D.Sc.h.c., Technion-Israel Institute of Technology, 1999

Honorary Fellow, University of Wales Swansea, 2006

D.h.c., Ludwig-Maximilians-Universitat Munchen, 2014

Milton Brockett Porter Lectures, Rice University, 2006

Sixth van Winter Memorial Lecture in Mathematical Physics, University of Kentucky, 2006-2007

The Wolfgang Wasow Memorial Lecture, University of Wisconsin at Madison, 2007

Sackler Lecture, Bohr Institute, University of Copenhagen, 2015

First Lars Ahlfors Lecture, Brigham Young University, 2016

University of Haifa Distinguished Lecture Series in Mathematics, 2018

Baylor Lectures Series in Mathematics, 2018

Lezioni Leonardesche, Milan, 2018

Other Honors

1965 Putnam Competition Winner (top six group)

Sloan Foundation Fellow, 1972-76

Medal of International Academy of Atomic and Molecular Science, 1981

Fellow, American Physical Society, 1981

Stampacchia Prize, 1982

Guggenheim Fellowship, 1988-1989

Corresponding Member, Austrian Academy of Sciences, 1990

Fellow, American Academy of Arts and Sciences, 2005

Poincare Prize, IAMP, 2012

Fellow, American Mathematical Society, 2013 (initial class)

Simons Foundation Fellowship in Matheamtics, 2013

Bolyai Prize of the Hungarian Academy of Sciences, 2015

Steele Prize for Lifetime Acheivment, AMS, 2016

James Madison High School Wall of Distinction, 2016 (previous honorees include Ruth Ginsburg, Bernie Saunders, Chuck Schummer and "Judge" Judy Sheindlin)

Dannie Heineman Prize in Mathematical Physics, AIP/APS, 2018

Member, National Academy of Sciences, 2019

**B. Simon’s
Graduate Students (and some of their theses)**

Mathematical physics, especially Schrödinger operators and Spectral Theory of Orthogonal Polynomials

- (with J. Christiansen and M. Zinchenko) Asymptotics of Chebyshev Polynomials, I. Subsets of R., Inv. Math, 208 (2017), 217-245
- A Comprehensive Course in Analysis, Five Volumes, AMS, USA, 2015
*Loewner's Theorem on Matrix Monotone Functions,*Springer, Grundlehren der mathematischen Wissenschaften 354*,*(2019*)*- (with A. Avila and Y. Last)
*Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with a.c. spectrum*, Analysis & PDE**3**(2010), 81-108 - (with D. Damanik and R. Killip)
*Perturbations of orthogonal polynomials with periodic recursion coefficients*, Annals of Math.**171**(2010), 1931-2010

*Resonances in**n**-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory,*Annals of Math.**97**(1973), 247-274- (with M. Reed)
*Methods of Modern Mathematical Physics, Vol. I: Functional Analysis*, Academic Press, 1972;*Vol. II: Fourier Analysis, Self-Adjointness*, Academic Press, 1975;*Vol. III: Scattering Theory*, Academic Press, 1978;*Vol. IV: Analysis of Operators*, Academic Press, 1977 - (with F. Guerra and L. Rosen)
*The P*(\phi)_2*quantum theory as classical statistical mechanics*, Annals of Math.**101**(1975), 111-259 - (with E. Lieb)
*The Thomas-Fermi theory of atoms, molecules and solids*, Advances in Math.**23**(1977), 22-116 - (with J. Fröhlich and T. Spencer)
*Infrared bounds, phase transitions and continuous symmetry breaking*, Commun. Math. Phys.**50**(1976), 79-85 - (with P. Perry and I. Sigal)
*Spectral analysis of multiparticle Schrödinger operators*, Annals of Math.**114**(1981), 519-567 - (with M. Aizenman)
*Brownian motion and Harnack’s inequality for Schrödinger operators*, Commun. Pure Appl. Math.**35**(1982), 209-273 *Semiclassical analysis of low lying eigenvalues, II. Tunneling*, Annals of Math.**120**(1984), 89-118*Holonomy, the quantum adiabatic theorem and Berry’s phase*, Phys. Rev. Lett.**51**(1983), 2167-2170- (with T. Wolff)
*Singular continuous spectrum under rank one perturbations and localization for random Hamiltonians*, Commun. Pure Appl. Math.**39**(1986), 75-90 *Operators with singular continuous spectrum: I. General operators,*Annals of of Math.**141**(1995), 131-145*The classical moment problem as a self-adjoint finite difference operator,**Advances in Math.***137**(1998), 82-203- (with Y. Last)
*Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators*, Invent. Math.**135**(1999), 329-367 *A new approach to inverse spectral theory, I. Fundamental formalism*, Annals of Math.**150**(1999), 1029-1057- (with F. Gesztesy)
*A new approach to inverse spectral theory, II. General real potentials and the connection to the spectral measure*, Annals of Math.**152**(2000), 593-643 - (with R. Killip)
*Sum rules for Jacobi matrices and their applications to spectral theory*, Annals of Math.**158**(2003), 253-321 *Orthogonal Polynomials on the Unit Circle, Part 1: Classical Theory,*AMS Colloquium Publications, Vol. 54.1, American Mathematical Society, Providence, RI, 2005 [webpage]*Orthogonal Polynomials on the Unit Circle, Part 2: Spectral Theory,*AMS Colloquium Publications, Vol. 54.2, American Mathematical Society, Providence, RI, 2005 [webpage]*Szegö’s Theorem and Its Descendants: Spectral Theory for L*, M.B. Porter Lectures, Princeton University Press, Princeton, NJ, 2011 [webpage]^{2}Perturbations of Orthogonal Polynomials- (with D. Damanik)
*Jost functions and Jost solutions for Jacobi matrices, I. A necessary and sufficient condition for Szegö asymptotics*, Invent. Math.**165**(2006), 1-50

Barry with a Calculus student’s most powerful weapons

**Non-Caltech Items**

- Editorial Responsibilities
- Editor, Communications in Mathematical Physics, for Schrödinger Operators and Atomic Physics, 1979-2014
- Advisory Board, Communications in Mathematical Physics, 2015-
- Editor, Inverse Problems and Imaging
- Editor, Journal of Approximation Theory
- Editor, Journal of Evolution Equations
- Editor, Journal of Operator Theory
- Editor, Journal of Spectral Theory
- Editor, Cambridge Tracts in Mathematics, New Mathematical Monographs, Cambridge Studies in Advanced Mathematics
- Advisory Board, Springer Graduate Texts in Mathematics

- 2014
Orthodox Jewish Allstars (including Barry)

- Video of 5 Allstars (including Barry)
- Barry chosen for James Madison High School Wall of Distinction, 2016 (previous honorees include Ruth Ginsburg, Bernie Sanders, Chuck Schummer and "Judge" Judy Sheindlin); acceptance speech

Go to the Directory for mailing address, fax and telephone numbers, and e-mail address.

B. Simon’s complete list of publications and co-authors

B. Simon’s papers available from the arXiv.

Click
here to get a listing of B. Simon’s papers from the AMS
MathSciNet with links to Mathematical Reviews.

(*Note*: You or your institution must have a valid
MathSciNet subscription.)

Schedule of mathematical physics seminars at Caltech