**BIOGRAPHICAL
SKETCH - 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 2001 & Institut Henri Poincaré (IHP), Paris, Spring 2003 and 2008.
- 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, as well as in 2007-08.
- 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 (five times) and University of
Copenhagen, Denmark (four times), 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), MSRI (Berkeley) (twice), Fields
Institute (Canada), Erwin Schroedinger Institute (Vienna), Feza Gurse
National Inst. (Istanbul), Institut Henri Poincaré (IHP, Paris) (twice).

**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, 2004-05 &.2007-08;

- Nominated to be the “AAAS Council Delegate” of the Mathematics
Section of the American Association for the Advancement of Science (May
2009);

- 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.

Discussion in the
general scientific press of my (joint) work on the “vibrations of
fractal drums", “the Weyl-Berry conjecture”, and “spectral and fractal
geometry”. 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), the article in *La Recherche *(vol. 383, 2/05),
and the article by Barry Cipra in *Science* (2/13/09).

**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), DMS-0070497 (7/00-7/05), DMS-0707524 (7/07-7/12), and (current) DMS-1107750 (9/11-8/14). (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
and Probability on Fractals" *(Cornell Univ., Ithaca, 6/02).
Internat. Sympos. on *“Analysis, Geometry and Probability: Feynman's
Legacy*" (Lisbon, 6/02). Workshop (and Program) on *“Topology
in Condensed Matter* *Physics" *(Max Planck Inst.,
Dresden, 7/02). Workshop on *“Feynman Integrals and Applications*"
(MSRI, Berkeley, 12/02). Sympos. on *“New Geometric* *Methods
in Modern Science" *(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 *“Mathematics of
Schr**ö**dinger Operators, with Applications to Path
Integrals” *(Goa, India, 12/03)*. CMLA Annual Analysis 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 Probability on
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” *(Max-Planck 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. Conf. on *“Zeta
Functions” *(Moscow, Russia, 9/06). Interdisc. Conf on *“Heat
Kernels in Mathematics and Physics” *(Ulm, Germany, 11/06)*. *To
take place: *Workshop on“*Geometric Measure 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). Workshop on "Random Matrix Theory: Number Theory and
Applications". Hausdorff Institute of Mathematical Sciences, Bonn,
Germany [New "Center of Excellence" in Mathematics created by the German
counterpart of the National Science Foundation]. (Bonn, Germany, 01/08).
International Conference on "Mathematical Physics" ("Moshe Flato
Memorial Conference: 10 Years Later"): Ben Gurion University, Sde Boker
& Ber'Sheva. (Sde Boker & Ber'Sheva, Israel,11/08). Seminar on
"Condensed Matter Physics". Ecole Polytechnique, Laboratoire de Physique
de la Matiere Condensee. Ecole Polytechnique. (Palaiseau (near Paris),
France, 09/09). International Conference on "Noncommutative Geometry and
Operator Algebras" (Anniversary Conference in Honor of Professor Ryszard
Nest). University of Copenhagen/European and Danish Research
Foundations. University of Copenhagen. (Copenhagen, Denmark, 09/10).
First International Meeting SISRS 2011: "Analysis, Fractal Geometry,
Dynamical Systems and Economics", on the occasion of the Award of the
2011 Annassileos International Prize in Mathematics (to Michel Lapidus).
University of Messina, Italy/Permanent International Series of Research
Seminars (PISRS). University of Messina. (Sicily, Italy, 11/11).

(**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,
with Emphasis on Geometric Aspects and Symbolic Dynamics" *(Morelia,
Mexico, 5/01), featured speaker. AMS Reg. Mtg., Sp. Session on “*Spectral
and Inverse Spectral Theories of Schr**ö**dinger
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 Joint Mtg. French/NordicMath. Soc., Sp.
Session on “*Spectral Geometry” *(Reykjavik, Iceland, 1/05) *.
ISAAC Sp. Session on “*Elliptic and Parabolic Nonlinear Problems” *(Catania,
Italy, 7/05). *“Einstein Century” *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: *GermanMath.
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,
3-7/04), and on *“Analysis on Graphs and Fractals” *(Newton
Inst., Cambridge & Cardiff Univ., UK, 5-6/07).

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 of zeta functions”, *Birkhäuser,
Boston, 2000, 268+(xii) pp., (with M. van Frankenhuysen). [Refereed
research 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 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.] 2nd rev. and enl. ed. to appear in 2012, approx.
600 pp.

** **5**. ***“In Search of the Riemann
Zeros: Strings, fractal membranes and noncommutative spacetimes”, *Amer.
Math. Soc., Providence, R I, 2008, 600 pp. (precisely, 558+(xxix) pp.).
[Refereed research monographs.] ISBN-10: 0-8218-422-5. US Library of
Congress Classification: QA333.L37 2007].

6. *“Generalized Dyson Series, Generalized Feynman Diagrams, the
Feynman Integral and Feynman’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 Indefinite Weights”*, Archives for Rational
Mechanics & Analysis **98**(1987), pp. 329-356, (with
J. Fleckinger).

8. *“Counterexamples to the Modified Weyl-Berry Conjecture”, *Mathematical
Proceedings of the Cambridge Philosophical Society*, ***119**(1996),
pp. 167-178, (with C. Pomerance).

9. *“Towards a Noncommutative Fractal Geometry? Laplacians and
Volume Measures on Fractals”*, 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).

**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 Joint National Meeting in Boston,
1/12).

(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**:

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)

**Editorial
Boards**:

- Editor, Journal
of Mathematical Physics, Analysis and Geometry, Springer, 2000-.

- Editor, The African Diaspora Journal of Mathematics (formerly called
"The African Journal of Mathematics"), 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 and Francis, 2012-.

- Honorary Editor, Advances in Applied Physics, Hikari Ltd., 2012-.

- Editor-in-Chief (and founder), Journal of Fractal Geometry
(Mathematics of Fractals and Related Topics), European Mathematical
Society, 2013-. (I created JFG upon the request of the EMS publishers,
made in early 2012.)