Willard Miller

Professor Emeritus, School of Mathematics, Program in Applied, Computational and Industrial Mathematics PACIM

CSE Distinguished Professor

513 Vincent Hall, 206 Church St. SE
University of Minnesota
Phone: (612) 624-7379
Fax: (612) 626-7370
E-mail:miller@ima.umn.edu
Home:
4508 Edmund Blvd.
Minneapolis, MN 55406
(612) 724-1397

Pictures of Willard and his friends, with the expert assistance of Andrea Miller.

Mathematical Physics Seminar

Best Paper Prize 2012 - Journal of Physics A, Mathematical and Theoretical

Topical Review on Superintegrability - Journal of Physics A, Mathematical and Theoretical

Cover page - Journal of Physics A, Mathematical and Theoretical


Recent Talks:

Introductory Lecture on: Planetary motion, the hydrogen atom and superintegrability (pdf file)

Introductory Lecture on: Compressive sampling (pdf file)

Wilson polynomials as expansion coefficients for the generic quantum superintegrable system on the 2-sphere(pdf file)

Contractions of 2D 2nd order quantum superintegrable systems and the Askey scheme for hypergeometric orthogonal polynomials(pdf file)

Structure theory for extended Kepler-Coulomb 3D quantum superintegrable systems(postscript file) (pdf file)

Structure theory for extended Kepler-Coulomb 3D classical superintegrable systems(postscript file)

Structure relations for the symmetry algebras of classical and quantum superintegrable systems(pdf file)
Poster for UNAM meeting on Topics in Classical and Quantum Integrability(pdf file)

Lecture on: Superintegrability as an organizing principle for special function theory   (postscript file)
(pdf file)


Lecture on:The recurrence relation approach to quantum superintegrability   (postscript file)

Lecture on: Two-variable Wilson Polynomials and the generic superintegrable system on the 3-sphere  (postscript file)
(pdf file)


Lecture on: Verifying  quantum superintegrability  (postscript file)

Lecture on: Coupling constant metamorphosis and higher order superintegrable systems
(postscript file)

Lecture on: second order superintegrable systems (pdf file)

Lecture on: Structure and classification results for second order superintegrable systems (pdf file)

Lecture on: Models for irreducible representations of quadratic algebras (pdf file)

Extended lecture on: Structure and classification of 2D and 3D conformally flat superintegrable Systems (pdf file)

Lecture on: Superintegrability and Quasi-exactly solvable problems in quantum mechanics (pdf file)

Lecture on: The Chesire Cat Effect in Lie Theory (postscript file)

Lecture on: Separation of Variables Methods Prosper pdf version

Extended lecture on: The Lie Theory Approach to Special Functions(pdf file)

Lecture on: Multiseparability and Superintegrability for Classical and Quantum Systems (pdf file) ( postscript file)
Lecture on: Complete Sets of Invariants for Classical Systems (pdf file) ( postscript file)
Lecture on: Infinite Order Symmetries for Quantum Separable Systems (pdf file) ( postscript file)
Three Introductory Lectures on Fourier Analysis and Wavelets (pdf file) (postscript file)

Recent Course Information:

Spring 2010, Math 4567: Applied Fourier Analysis

Fall 2009, Math 4567: Applied Fourier Analysis

Fall 2009, Math 1271: Calculus I

Fall 2008, Math 1371: IT Calculus I

Fall 2007, Math 4242/4457: Applied Linear Algebra

Fall 2007, Math 1372: IT Calculus II

Spring 2007, Math 1271: Calculus I

Spring 2007, Math 1572H: Honors Calculus

Fall 2006, Math 1571H: Honors Calculus

Spring 2006, Math 1572H: Honors Calculus

Spring 2006, Math 5467: Introduction to the Mathematics of Wavelets (with PDF and PostScript files of lecture notes)

Fall 2005, Math 1372: IT Calculus II

Fall 2005, Math 1571H: Honors Calculus

Spring 2005, Math 1372: IT Calculus II

Spring 2005, Math 3118: Topics in Elementary Education II

Fall 2004, Math 2243: Linear Algebra and Differential Equations

Spring 2004, Math 5467: Introduction to the Mathematics of Wavelets (with PDF and PostScript files of lecture notes)

Fall 2003, Math 1281: Calculus with Biological Emphasis I

Fall 2003, Math 1371: IT Calculus I

Spring 2003, Math 4242: Applied Linear Algebra

Fall 2002, Math 8600: Topics in Advanced Applied Mathematics (with PDF and PostScript files of lecture notes)

Spring 2002, Math 5467: Introduction to the Mathematics of Wavelets (with PDF and PostScript files of lecture notes)



Other Expository Materials:

Lie Theory and Special Functions (based on my out of print 1968 monograph)

Separation of Variables for Riemannian Spaces of Constant Curvature by Ernie Kalnins, (by permission of the author, based in part on joint work presented in his out of print 1986 monograph)

Lecture Notes and Background Materials on Lebesgue Theory from a Hilbert and Banach Space Perspective, Including an Application to Fractal Image Compression (Postscript File) (PDF File)

Lecture Notes and Background Materials on Linear Operators in Hilbert Space (pdf file) ( postscript file)

Group Theory and Differential Equations 1959-1960 Lecture Notes by Lawrence Markus (with permission of the author)



PUBLICATIONS (with PDF and PostScript files of recent papers)

VITAE


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