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Page Curriculum Vitae - Michel L. Lapidus
http://math.ucr.edu/~lapidus
Citizenship:
U.S.A. (naturalized American since 1988)
Education:
Ph.D. & Doctorat d'Etat ès Sciences (Mathematics), 'Summa Cum
Laude', Université Pierre et Marie Curie (Paris VI), France, 1980
& 1986. Habilitation to Direct Research (Paris VI), 1987.
Experience:
Professor, University of California, Riverside, 1990-
Member, Mathematical Sciences Research Institute (MSRI), Berkeley,
Spring 1999 and Spring 2001 & Institut Henri Poincaré (IHP), Paris,
Spring 2003.
Member of the Newton Institute for Mathematical Sciences, Cambridge
University, UK, (partof) Spring 1999
Member, Institut des Hautes Etudes Scientifiques (IHES),
Bures-sur-Yvette, France, 1994-95and for several parts of 1995-98
Visiting Professor, Yale University, New Haven, 1990-91
Associate Professor, University of Georgia, Athens, 1986-90
Visiting Assistant Professor, University of Iowa, Iowa City, 1985-86
Member, Mathematical Sciences Research Institute (MSRI), Berkeley,
1984-85
Assistant Professor, University of Southern California, Los Angeles,
1980-85
Research Associate, University of California, Berkeley, 1979-80
Research Associate, Université Paris VI, France, 1978-80
Fellowships,
Awards and Honors:
Research Fellowship D.G.R.S.T., Université Paris VI, 1978-80;
George Lurcy Fellowship, University of California, Berkeley, 1979-80;
My research on "Spectral and Fractal Geometry" was one of the two
mathematical works presented by NSF to the "Office of the President" and
to the U.S. Congress in the "National Science Foundation 1990 Fiscal
Year Budget Proposal to Congress";
Award of a university-wide "Creative Research Medal", Univ. of
Georgia, Athens, 1989;
Recipient of the M. G. Michael Award for Excellence in Research, Univ.
of Georgia, Athens, 1989;
Honorary Member, Research Board of Advisors, American Biography
Institute (ABI), 1997-;
Twentieth Century Award for Achievement, International Biographical
Institute (IBC), Cambridge, UK, 1998;
Outstanding Man of the 20th Century, ABI, 1999;
nomin. "100 Geniuses of the 21st Century” (IBC, 2006);
Elected Fellow of the American Association for the Advancement of
Science (AAAS), Sept. 2000 [for "Distinguished Research
Contributions to Mathematical Physics and Fractal Geometry"];
Member, AMS Council, and Associate Secretary of the American
Mathematical Society (AMS), Western Section, Feb. 2002-. (Renominated
and reconfirmed five times, now through Jan. 2016);
Nominated for membership in the American Academy of Arts and Sciences,
2003-04 &.2006-07;
Discussion in the general scientific press of my (joint) work on the
"vibrations of fractal drums" and "the Weyl-Berry conjecture”. Please
see the articles by Ian Stewart in Nature (vol. 333,
5/19/88), Jean-Pierre Fabre in La Recherche (vol. 202, 9/88),
Barry Cipra in Science (vol. 259, 2/12/93), as well as the
cover article by Ivars Peterson in Science News (vol. 146,
No. 12, 9/17/94) and the book by the same author, entitled "The
Jungles of Randomness: A Mathematical Safari" (Wiley, 1998).
Also see the article by Ian Stewart in New Scientist (vol.
156, 12/20/97) and the recent article in La Recherche (vol.
383, 2/05);
Anassilaos International Research Prize in Mathematics, President of
the Italian Senate, 2011;
Campus-wide Ph.D. Dissertation Advisor/Mentor Award, University of
California, Riverside, 2012;
Member of the inaugural class of American Mathematical Society
Fellows, 2012.
Editor-in-Chief, Journal of Fractal Geometry (European Mathematical
Society), 2013-.
Research
Areas:
Mathematical Physics, Functional and Harmonic Analysis, Geometric
Analysis, Partial Differential Equations (PDEs), Dynamical Systems,
Spectral Geometry, Fractal Geometry; Connections with Number Theory,
Arithmetic Geometry and Noncommutative Geometry.
Current
Research Projects: Mathematical Theory of Feynman Path
Integrals; Vibrations of Fractal Drums; Analysis and PDEs On or Off
Fractals; Waves and Diffusions in Fractal Media; Origins and Formation
of Fractal Structures in Nature; Noncommutative Fractal Geometry;
Analogues of Dirac Operators and Geodesics on Self-Similar Fractals and
Trees; Fractal Strings and Membranes; Theory of Complex Fractal
Dimensions; Analogues in the p-adic and Adelic Realms; Fractal
Curvatures and Cohomology; Modular Flows on Moduli Spaces of Fractal
Membranes; Noncommutative Flows of Zeros and Zeta Functions; Connections
with the Riemann Zeta Function and the Riemann Hypothesis. Ihara Zeta
Functions on Infinite Periodic or Self-Similar Graphs.
Research
Grants (over the last twenty years): National Science
Foundation Research Grants, DMS-8703138 (6/87- 6/89), DMS-8904389
(6/89-6/92), DMS-9207098 (7/92-7/96), DMS-9623002 (9/96-8/99), and
DMS-0070497 (7/00-7/05). (Sole P.I.)
Selected Invited Talks (over the last two years):
Recent
Research Books and Memoirs: [1]
1. "Generalized Minkowski content, spectrum of fractal drums,
fractal strings and the Riemann zeta function.”, (with C. He).
Memoirs Amer. Math. Soc., No. 608, 127 (1997), 1-97.
2. "The Feynman Integral and Feynman’s Operational Calculus”, Oxford
Mathematical Monographs, Oxford Univ. Press, Oxford and New York, 2000,
approx. 800 pp. (precisely, 771+(xviii) pp.), (with G. W. Johnson).
(Paperback edition: 2002, OUP). [Refereed research monograh.]
3. "Fractal Geometry and Number Theory: Complex dimensions of
fractal strings and zeros of zeta functions”, Birkhäuser,
Boston, 2000, 268+(xii) pp., (with M. van Frankenhuysen). [Refereed
research monograph.]
4. "Fractal Geometry, Complex Dimensions and Zeta Functions:
Geometry and spectra of fractal strings”, Springer Monographs in
Mathematics,
Springer-Verlag, New York, 2006, approx. 500 pp. (precisely, 460+(xxiv)
pp.), (with M. van Frankenhuijsen). [Refereed research monograph.]
5. "In Search of the Riemann Zeros: Strings,
fractal membranes and noncommutative spacetimes”, Amer. Math. Soc.,
Providence, R I, 2008, in press, 592 pp. (precisely, 554+(xxix) pp.).
(Refereed research monograph; expected to appear in the Winter of
2008.)
Examples
of Synergistic Activities:
(i)
Associate Secretary, Amer. Math. Soc. (in charge of all the scientific
meetings in the Western Section and of some of the national and
international meetings of the AMS (including the forthcoming Joint
National Meeting in San Diego, 1/08).
(ii) Organizer of many research conferences in Mathematical Physics,
Analysis, Dynamical Systems, Spectral Geometry or Fractal Geometry.
(iii) Editor of several collective volumes at the interface of the above
areas.
(iv) Creation of a number of (Honors, undergraduate or graduate) courses
and seminars in those areas as well as in Mathematical Biology.
Recent
and Current Ph.D. Students and Postdocs:
E. Atallah*, V. Alvarez*, S. Childress, T. Cobler*, B. Daudert, C.
Griffith, C. He, H. Herichi, N. Lal, H. Lu, M. Maroun, R. Niemeyer, E.
Pearse, J. Quinn, G. Radunovich* (co-advised), J. Rock, B. Sanders*, J.
Sarhad*, D. Scaletta (co-advised)*, S. Watson*
NSF Postdocs:
A. Teplyaev (8/00-12/02). M. Anshelevich (9/02-8/04). Future Postdoc: S.
Winter (07).
Recent VAPs:
M. Comerford (02-04), C. Ivan/Antonescu (04-05), D. Clahane (05-08), S.
Muir* (11-14), A. Velez-Santiago* (13-16).
Visiting Scholar:
D. Carfi*(11- ).
Visiting Assistant Researchers:
R. Niemeyer (11-13), H. Herichi (11- ), M. Maroun* (13- ).