BIOGRAPHICAL SKETCH - Michel L. LAPIDUS

http://math.ucr.edu/~lapidus
A. CURRICULUM VITAE
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:
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Professor, University of California, Riverside, 1990Member, Mathematical Sciences Research Institute (MSRI), Berkeley, Spring 1999 andSpring 2001 & Institut Henri Poincaré (IHP), Paris, Spring 2003.
Member of the Newton Institute for Mathematical Sciences, Cambridge University, UK,(part of) Spring 1999
Member, Institut des Hautes Etudes Scientifiques (IHES), Bures-sur-Yvette, France,
1994-95 and 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

Recent Visiting Positions (over the last five years): Visiting Professor, University of Rome, Italy
and University of Copenhagen, Denmark (four times each), as well as Oxford University,England, UK (7/01), Univ. of Paris (VI & VII) and Hebrew Univ. of Jerusalem, Israel.
Recent membership in Research Institutes (Mathematics/Physics/Pluridisc.): Isaac Newton
Institute (Cambridge), Max Planck Institute (Dresden & Bonn) , IHES (Bures-Sur-Yvette/Paris),
In(Paris), MSRI (Berkeley), Fields Institute (Canada), Erwin Schroedinger Institute (Vienna), Feza
Gurse National Inst. (Istanbul).
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" wasone of the two mathematical works presented by NSF to the “Office of the President" and to theU.S. Congress in the “National Science Foundation 1990 Fiscal Year Budget Proposal toCongress". 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 21stCentury” (IBC, 2006). Elected Fellow of the American Association for the Advancement ofScience (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 five1

times, now through Jan. 2016.) Nominated for membership in the American Academy of Arts andSciences, 2004-05 &.2006-07. Recipient of the 2011 Anassilaos International Research Prize inMathematics, from the President of the Italian Senate. Received the campus-wide Ph.D.
Dissertation Advisor/Mentor Award from the University of California, Riverside, 2012. Member ofthe inaugural class of American Mathematical Society Fellows, 2012. Editor-in-Chief, Journal of
Fractal Geometry (European Mathematical Society), 2013-.
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).
Research Areas:
Mathematical Physics, Functional and Harmonic Analysis, Geometric Analysis, Partial DifferentialEquations (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 FractalDrums; Analysis and PDEs On or Off Fractals; Waves and Diffusions in Fractal Media; Originsand Formation of Fractal Structures in Nature; Noncommutative Fractal Geometry; Analogues ofDirac Operators and Geodesics on Self-Similar Fractals and Trees; Fractal Strings andMembranes; 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-SimilarGraphs.
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), DMS9623002 (9/96-8/99), and DMS-0070497 (7/00-7/05). (Sole P.I.)
Selected Invited Talks (over the last five years):(a) Plenary Speaker: Workshop on “Fractals and Dynamical Systems" (IMS, Hong Kong,China,12/00). Conf. “Fractals in Graz 2001" (Graz, Austria, 6/01). Conf. on “Analysis andProbability on Fractals" (Cornell Univ., Ithaca, 6/02). Internat. Sympos. on “Analysis, Geometryand Probability: Feynman's Legacy" (Lisbon, 6/02). Workshop (and Program) on “Topology inCondensed Matter Physics" (Max Planck Inst., Dresden, 7/02). Workshop on “Feynman Integralsand Applications" (MSRI, Berkeley, 12/02). Sympos. on “New Geometric Methods in ModernScience" (Paris, France, 03/02). Internat. Conf. on “Differential Equations and Asymptotic Theory”(Wuhan, China, 10/03) *. ( * = unable to attend due to other duties.) Workshop on “Mathematicsof Schrödinger Operators, with Applications to Path Integrals” (Goa, India, 12/03)*. CMLA AnnualAnalysis Conf. (ENS Cachan, Paris, 5/04). 5th European Conf. on “Elliptic and Parabolic
Problems: A Special Tribute to the Work of Haim Brezis” (Gaeta, Italy, 6/04). Internat. Conf. on“Physics of Irregular Systems” (Brazil, Fortaleza, 8/04) *. 2nd Conf. on “Analysis and Probabilityon Fractals” (Cornell Univ., Ithaca, 6/05). Internat. Workshop on “Fractal Analysis” (Eisenach,Germany, 9/05). Workshop on “Traces in Geometry, Number Theory and Quantum Fields” (MaxPlanck Inst., Bonn, Germany,10/05). Conf. on “Feynman Integrals in Mathematics and Physics:"(Lincoln, 5/06). EMS School on “Arithmetic and Geometry Around Quantization” (Istanbul, Turkey,6/06). Sympos. on “Contemporary Problems of Mathematical Analysis and Mathematical Physics”(Taormina, Italy, 6/06). Internat. Conf. on “Analysis on Fractals” (Kyoto, Japan, 9/06) *. Internat.

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Conf. on “Zeta Functions” (Moscow, Russia, 9/06). Interdisc. Conf on “Heat Kernels inMathematics and Physics” (Ulm, Germany, 11/06)*. To take place: Workshop on “GeometricMeasure Theoretic Approaches to Potential Theory on Fractals and Manifolds” (Oberwolfach,Germany, 03/07). Conf. on “Variational and Topological Methods, Applications and Simulations”(Flagstaff, 05/07). Workshop on “Analysis on Graphs and Fractals” (Newton Inst., Cambridge andCardiff, UK, 5-6/07)(b). Invited Speaker, Mini-Symposia/Special Sessions: Joint Internat. Mtg. AMS/SMF,Special Session on “Fractal Geometry, Number Theory and Dynamical Systems" (ENS Lyon,France, 7/01). Joint Internat. Mtg. AMS/SMM, Sp. Session on “Dynamical Systems, withEmphasis on Geometric Aspects and Symbolic Dynamics" (Morelia, Mexico, 5/01), featuredspeaker. AMS Reg. Mtg., Sp. Session on “Spectral and Inverse Spectral Theories of Schrödinger
Operators” (Bangalore, India, 12/03). Sp. Session on “Fractals" (Columbus, 9/01). AMS Annual
Mtg., Sp. Session on “Fractal Geometry and Applications" (San Diego, 1/02). ICM Satellite Conf.
on “Fractal Geometry and Applications" (Nanjing, China, 7-8/02). AMS Reg. Mtg., Sp. Session
on “Analytic Number Theory" (Salt Lake City, 10/02). Joint Internat. Mtg. AMS/Indian Math. Soc.,
AMS Sp. Sessions on “Topics in Spectral Geometry” (Albuquerque, 9/04) and on “Iterated
Functions Systems and Analysis on Fractals” (Northwestern Univ., Evanston, 9/04). First JointMtg. French/Nordic Math. Soc., Sp. Session on “Spectral Geometry” (Reykjavik, Iceland, 1/05) *.
ISAAC Sp. Session on “Elliptic and Parabolic Nonlinear Problems” (Catania, Italy, 7/05). “EinsteinCentury” Internat. Sympos., Sp. Session on “Gravitation and Nature of Spacetime” (Paris, France,7/05). AMS Sp. Session on “Fractal Geometry in Analysis, Mathematical Physics, Number Theory
and Dynamical Systems” (San Francisco, 5/06). Conf. on “Topology”, Sp. Session on “Fractals*and Tilings” (GA, 7/06) AMS Sp. Session on “Analysis and Probability on Fractals” (Storrs,9/06). To take place: German Math. Soc. Annual Meeting, Sp. Session on “Geometry of Random*Fractals” (Berlin, 3/07)(c) Invited Participant: Research Programs on “Spectral Invariants” (MSRI, Berkeley,3-6/01) and on “Noncommutative Geometry and K-Theory" (Inst. Henri Poincaré (IHP), Paris, 37/04), and (to take place) on “Analysis on Graphs and Fractals” (Newton Inst., Cambridge &Cardiff Univ., UK, 5-6/07).
B. Assorted Publications:

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1. “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.]
2. “Fractal Geometry and Number Theory: Complex dimensions of fractal strings and zeros ofzeta functions”, Birkhäuser, Boston, 2000, 268+(xii) pp., (with M. van Frankenhuysen). [Refereedresearch monograph.]
3. “A Koch Tube Formula for the Koch Snowflake Curve, with Applications to Complex
Dimensions”, J. London Math. Soc. No.2, 74(2006), 397-414, (with E. P. J. Pearse).
4. “Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and spectra of fractalstrings”, 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 noncommutativespacetimes”, Amer. Math. Soc., Providence, R I, 2008, 600 pages (precisely, 558+(xxix) pp.),February, 2008. ISBN-10: 0-8218-422-5. US Library of Congress Classification: QA333.L37
2007].

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This is an excerpt from a publication list of 94 entries, of which 83 have appeared or are inpress.

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6. “Generalized Dyson Series, Generalized Feynman Diagrams, the Feynman Integral andFeynman’s Operational Calculus”, Memoirs of the American Mathematical Society No. 351,62(1986), pp. 1-78, (with G. W. Johnson).
7. “Remainder Estimates for the Asymptotics of Elliptic Eigenvalue Problems with IndefiniteWeights”, Archives for Rational Mechanics & Analysis 98(1987), pp. 329-356, (with J. Fleckinger).
8. “Counterexamples to the Modified Weyl-Berry Conjecture”, Mathematical Proceedings of theCambridge Philosophical Society, 119(1996), pp. 167-178, (with C. Pomerance).
9. “Towards a Noncommutative Fractal Geometry? Laplacians and Volume Measures onFractals”, Contemporary Mathematics, American Mathematical Society 208(1997), pp. 211-252.
10. “Self-Similarity of Volume Measures for Laplacians on P.C.F. Self-Similar Fractals”,Communications in Mathematical Physics 217(2001), pp. 165-180, (with J. Kigami).
D. Four Examples of Synergistic Activities: (i) Associate Secretary, Amer. Math. Soc. (incharge of all the scientific meetings in the Western Section and of some of the national andinternational 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, DynamicalSystems, Spectral Geometry or Fractal Geometry. (iii) Editor of several collective volumes at theinterface 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.
E. Recent and Current Ph.D. Students and Postdocs:
Vicente Alvarez, Scot Childress, Tim Coblers*, Britta Daudert, Cheryl Griffith, Christina He,
Hafedh Herichi, Nishu Lal, Hung (Tim) Lu, Michael Maroun, Robert Niemeyer, Erin Pearse, John
Quinn, Scott Roby*, John Rock, Benjamin Sanders*, Jonathan Sarhad, Dominick Scaletta*, Sean
Watson*.
NSF Postdocs: Alexander Teplyaev (8/00-12/02). Michael Anshelevich (9/02-8/04).
Other Postdocs: Steffen Winter (07), David Carfi (11).
Recent Visiting Assistant Professors (VAPs): Mark Comerford (02-04), Cristina
Ivan/Antonescu (04-05), Dana Clahane (05-08), Aviv Censor (07-10), Stephen Muir (11-13),
Alejandro Velez-Santiago* (13-16).
Editorial Boards:- Editor, Journal of Mathematical Physics, Analysis and Geometry, Springer, 2000-.
- Editor, The African Diaspora Journal of Mathematics (formerly called "The African Journal ofMathematics"), Nova Publishers, 2001-.
- Editor, Abstracts of the Papers Presented to the American Mathematical Society, American
Mathematical Society, 2002-.
- Editor, Integration: Mathematical Theory and Applications, Nova Publishers, 2003-.
- Editor, Advances in Mathematical Physics, Hindawi Publishing, 2007-.
- Editor, Differential Equations and Applications (DEA), Ele-Math, 2008-.
- Editor, Geometry, Hindawi Publishing, 2012-.
- Editor, International Journal of General Systems (a cross-disciplinary journal), Taylor andFrancis, 2012-.
- Honorary Editor, Advances in Applied Physics, Hikari Ltd., 2012-.
- Editor-in-Chief (and founder), Journal of Fractal Geometry (Mathematics of Fractals andRelated Topics), European Mathematical Society, 2013-. (I created JFG upon the request of theEMS publishers, made in early 2012.)

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