Curriculum Vitae …

                                 Curriculum Vitae
                                   Elena Cherkaev
Address: Department of Mathematics, University of Utah, 155 South 1400 East, JWB 233
          Salt Lake City, UT 84112
Phone: (801) 581 7315,    Fax: (801) 581 4148,   e-mail: elena@math.utah.edu

Education: St. Petersburg State University
    Areas: Applied Mathematics, Computational Methods and Optimization Theory,
           Computational Geophysics

Degrees: Ph.D. (Candidate of Sciences) - St. Petersburg State University
         M.S. (Mathematics Diploma) - St. Petersburg State University

Research Fields:
Inverse problems, inhomogeneous media, numerical methods, calculus of variations and opti-
mization, wave propagation, pde, mathematical modeling

Experience:
2004 - present: Professor, Department of Mathematics, The University of Utah
2003 - 2004: Research Professor, Department of Mathematics, The University of Utah
1996 - 2003: Research Associate Professor, Department of Mathematics, The University of Utah
1998 - 2003: Adjunct Associate Professor, Department of Geophysics, The University of Utah
1993 - 1998: Adjunct Assistant Professor, Department of Geophysics, The University of Utah
1992 - 1993: Associate Scientist, Earth Science Lab, University of Utah Research Institute
1991 - 1992: Adjunct Instructor, Courant Institute of Mathematical Sciences, NYU
1978 - 1991: Research Fellow, Academy of Sciences of U.S.S.R., Institute of Terrestrial
                       Magnetism, Ionosphere and Radiowave Propagation


                                Organizing Committees

   · AWM (Association for Women in Mathematics) sponsor of University of Utah Student
     Chapter of the Association for Women in Mathematics

   · Co-organizer of Special session on "Computational Methods in Large-scale and Multiscale
     Inverse Problems", 5th International Congress of Industrial and Applied Mathematics
     (ICIAM05), Sydney, Australia, July 7-11, 2003

   · Co-organizer: VIGRE Mini-course: Waves in Inhomogeneous Media, July 28 - August 8,
     2003, Salt Lake City, UT

   · SIAM representative and Co-organizer: Sixth International Conference on Electrical Trans-
     port and Optical Properties of Inhomogeneous Media (ETOPIM 6), Snowbird, July 14­19,
     2002



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                                Mentoring and Advising

VIGRE REU (Research Experience for Undergraduates) mentor for Reza Sarijlou, 2003-2004
SROP (Summer Research Opportunity Program for Underrepresented Students) mentor for
Lucinda Robledo, 2004
AWM (Association for Women in Mathematics) mentor for Assistant Professor Yvonne Ou,
Department of Mathematics, University of Central Florida
Adviser for Ph.D. student Dali Zhang, 2001-2004
Supervision of visiting research associate Dali Zhang, 2000-2001
Adviser for M.S. student Altaf H. Khan, 1999-2000
Supervision of industrial postdoc H. Bertete-Aguirre, funding from Schlumberger Doll Research
Adviser of Ph.D. student Hugo Bertete-Aguirre, Ph.D. 1998 (currently in Livermore National
Lab, Math. Dept., Stanford University).


                                Selected Invited Lectures


Recent Colloquia and Seminars:
University of Trento, May 2003; Moscow State University, Moscow, 2002; Polish Academy of
Sciences, Warsaw, 2001; Rensselaer Polytechnic Institute, NY, 2001; Worcester Polytechnic
Institute, MA, 2001; University of California, Irvine, CA, 2001; University of Saint Etienne,
France, 2000; Oxford Brookes University,Oxford, UK 2000; University of Muenster, Germany,
2000; Danish Technical University, Copenhagen, Denmark, 2000; University of Liverpool, UK,
2000; Brigham Young University, Provo, 2000; University of Utah, Dept. Mathematics, 2000,
2002, Dept. Physics, 2000, Dept. Geophysics, 1999, Dept. Computer Science, 1999; Stanford
University, Palo Alto, 1998; University of Bath, England, 1997; University of Rio de Janeiro,
Brasil, 1997; University of Karlsruhe, Germany, 1996; University of Erlangen, Erlangen, Ger-
many, 1996

Keynote Lectures, Invited Talks, and Conference Presentations (1995-2004)

---- 2003 - 2004 -----

Plenary Speaker at the International Conference on Differential Equations and Dynamical Sys-
tems, Suzdal, July 5-10, 2004

Invited Speaker (40 minute lecture) at the International Conference "Inverse Problems: Model-
ing and Simulation", Fethiye, June 07-12, 2004

Midnight Sun Narvik Conference "Multscale Problems and Asymptotic Analysis", June 22 - 26,
2004, Narvik, Norway

Invited Speaker at the SIAM Conference on "Mathematical Aspects of Materials Science" in
Los Angeles, May 23-26 2004, minisymposium

Invited Speaker at the ARO/GATECH workshop on Inverse Techniques in Materials Design,
Army Research Office / Georgia Tech, Atlanta, April 26-28, 2004

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Invited Speaker (45 minute lecture) Analytic and Geometric Methods in Inverse Problems,
Helsinki, Finland, Aug. 25-29, 2003

Lecturer at VIGRE Mini-course: Waves in Inhomogeneous Media, July 28 - August 8, 2003,
Salt Lake City, UT

Minisymposium Co-organizer and speaker at the ICIAM05, The Fifth International Congress
on Industrial and Applied Mathematics, Sydney, Australia, July 7-13, 2003

Invited talk at the NATO Advanced Research Workshop on Nonlinear Homogenization and
Its Application to Composites, Polycrystals and Smart Materials, June 23-26, 2003, Kazimierz
Dolny, Poland

WSSMO - Structural Multidisciplinary Optimization, Venice, Italy, May 2003

Invited talk at the Special Session on Applied Mathematics and Materials Science, AMS 2003
Spring Southeastern Section Meeting, Baton Rouge, Louisiana, March 14-16, 2003

Invited talk (45 minute) at the Joint AMS Meeting, SIAM minisymposium on Dynamical Sys-
tems, Baltimore, January 15-18, 2003
---- 2002 -----

Electrical Impedance Tomography Workshop, August 1-7, 2002

Sixth International Conference on Electrical Transport and Optical Properties of Inhomogeneous
Media (ETOPIM 6), Snowbird, July 14­19, 2002

Invited talk at the Clifford Truesdell's Symposium held in conjunction with the 14th U.S. Na-
tional Congress of Theoretical and Applied Mechanics at Virginia Tech, June 24-27, 2002

Invited Speaker (45 minute) at the IUTAM Symposium on Asymptotics, Singularities and Ho-
mogenization in Problems of Mechanics, 8-11 July, 2002, Liverpool, UK

Invited Speaker (50 minute lecture) for the Special Year "Mathematics in the Geosciences" at
the Institute for Mathematics and its Applications (IMA), University of Minnesota, Workshop
"Inverse Problems and Quantification of Uncertainty", April, 2002

Invited talk at the Symposium "Materials by Design" held in conjunction with Plasticity 2002,
Aruba, January 3-9, 2002
---- 2001 and earlier -----

Invited talk at Minisymposium on "Low frequency geophysical inverse problems", SIAM Annual
Meeting, July 9-13, 2001, San Diego, CA

Invited talk at the 2nd Max Planck Workshop on Engineering Design Optimization, October
12-14, 2001, Nyborg, Copenhagen, Denmark

26-th Workshop on Geothermal Reservoir Engineering, Stanford, 2001

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Invited Speaker at the Homogenization and Materials Science Conference, Akron, Sept., 2000

Fifth International Conference Mathematical and Numerical Aspects of Wave Propagation, San-
tiago de Compostela, Spain, July 10-14, 2000

RCP 264: Inverse Problems and Nonlinearity, On occasion of Pierre Sabatier's 65th birthday,
Montpellier, France, June 20-24, 2000

2000 IEEE International Conference on Phased Array Systems and Technology, May 21-25, 2000
Dana Point, California

SIAM Materials Science Conference, May 21-24, 2000, Philadelphia, Session Chair

25-th Workshop on Geothermal Reservoir Engineering, Stanford, 2000

Invited talk at The Fourth International Congress on Industrial and Applied Mathematics
(ICIAM4), Minisymposium, Edinburgh, Scotland, July 5-9, 1999

Invited talk at the 36th Ann. Techn. Meeting of Soc. Engineering Science (SES), Minisympo-
sium, Austin, Texas, October 25-27, 1999

Inverse Problems Seminar of the Pacific Northwest, University of Washington, 1999

WCSMO3, 3rd World Congress of Structural and Multidisciplinary Optimization, Buffalo, 1999

24-th Workshop on Geothermal Reservoir Engineering, Stanford, Palo Alto, 1999

SEG, 68th Annual Meeting, Soc. Exploration Geophys., New Orlean, 1998

Invited talk at PIERS: Progress in Electromagnetic Research, Minisymposium, Nantes, France,
1998

SIAM Conference on Mathematical and Numerical Aspects of Wave Propagation, Golden, Col-
orado, 1998. Session Chair

Special Session: Frontiers in Electromagnetics, SEG, Dallas, 1997

Workshop on Inhomogeneous Materials, Salt Lake City, Utah, 1997. Session Chair

McNU'97: Joint ASME, ASCE, SES Meeting, Northwestern University, 1997

SIAM Conference Mathematical and Computational Issues in Geosciences, Albuquerque, NM,
1997. Session Chair

Invited talk at SIAM Conf. on Mathematical Aspects of Materials Science, minisymposium
"Inverse Problems for Composite Media", Philadelphia, Pennsylvania, 1997

Workshop on Nonlinear Analysis and PDE, Salt Lake City, 1996

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The 9th Conference of European Consortium for Mathematics in Industry, Copenhagen, Den-
mark, 1996

SIAM/GAMM Symposium on Inverse Problems, Yosemite, 1995

NIST Workshop on Optimal Design of Materials and Structures, Salt Lake City, 1995

World Congress of Structural and Multidisciplinary Optimization, Goslar, Germany, 1995

                               Past and Current Support


   · University of Utah Research Foundation, PI with D. Christensen and R. Bloebaum, co-PIs,
     11/01/04 - 10/31/05, "Ultrasound Evaluation of Bone Structure", $34,610 ­ pending
   · NSF-CCLI, Co-PI with R. Palais, 02/01/03 - 01/31/05, "Linking Visualizations Online to
     Discover and Unify Mathematics", $74,996
   · ARO (Army Research Office), Senior Investigator, 10/01/03 - 08/31/06: "Analysis and
     Control of Cellular Bi-Stable Lattices", $225,335
   · NSF/DOE/ONR, Co-PI: Conference grant for organizing ETOPIM, July 14­19, 2002,
     approx. $60,000
   · NSF Travel grants, 2003: $2,000; 1999: $1,500
   · ONR, Co-PI with K.Golden, 11/1/97 - 10/31/01: "Inverse Scattering in Ocean Environ-
     ment", $232,088
   · Schlumberger-Doll Research, PI, 1997 - 2003: "Inverse Problems with Nonsmooth Prop-
     erties", Research grant, $60,000
   · DOE-OBES, Co-PI with A.C.Tripp (U. of Utah, Geophysics), 11/15/98 - 11/14/01:
     "High Resolution Imaging of Electrical Conductivity and Inductive Tool Design", approx.
     $180,000
   · DOE-OBES, Co-PI with A.C.Tripp (U. of Utah, Geophysics), 11/15/95 - 11/14/98: "High
     Resolution Imaging of Electrical Conductivity Using Low Frequency Electromagnetic
     Fields", $171,595
   · Binational USA-Israel Science Foundation, Senior Investigator, 09/30/95 - 08/31/98,
     "Structural Materials of High Strain Energy on Extension", $66,000
   · DOE-Geothermal, 1995 - 1996: "Three-dimensional Geothermal Reservoir Simulation and
     Electric Spontaneous Potentials", Co-investigator with A.C. Tripp, approx. $22,000
   · Schlumberger Doll Research, Co-PI, 1995, "Optimization of Electrical Currents for Well-
     Logging"

   · DOE-OBES, 11/15/93 - 11/14/95: "High Resolution Imaging of Electrical Conductivity",
     Investigator with A.C.Tripp (U. of Utah, Geophysics) as PI, approx. $150,000



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                                      Referee duties

I serve as a referee for NSF and DOE funding agencies as well as for various journals, namely:
Inverse Problems
SIAM Journal on Applied Mathematics (SIAP)
Philosophical Transactions of the Royal Society: Mathematical, Physical and Engineering Sci-
ences
Journal of Physics A: Mathematical and General
Measurement Science and Technology
Geophysics
IEEE Transactions on Medical Imaging
Referee Reports for IUTAM volumes
Physica B: Physics of Condensed Matter
Journal of the Mechanics and Physics of Solids


                                        Publications


1. E. Cherkaeva, On the value of a game with a countable number of players, Mathematical
Methods in Social Sciences, Vilnjus, 1982, 15, 55 ­ 64 (Russian).

2. G. Dubin and E. Cherkaeva, Measures generated by set functions, Optimization, Novosibirsk,
1988, N. 44(61), 143 ­ 154 (Russian).

3. E. Cherkaeva, Asymptotic methods in computing the vector magnetic field from the field
intensity. Report N 17(902), Moscow, IZMIRAN, 1989, (Russian).

4. E. Cherkaeva, Methods of computation of vector geomagnetic field from intensity measure-
ments. Ph.D. dissertation, Leningrad State University, 1988, 130 p, (Russian).

5. V. Kolesova, V.I. Pochtariev and E. Cherkaeva, Computation of geomagnetic field gradients
for the plane case. Geomagnetic Field and the Structure of the Earth, 1980, 93­102, (Russian).

6. V. Kolesova, E. Cherkaeva, V.I. Pochtariev, Determination of the geomagnetic field's decli-
nation using spectral analysis. Patent, 1986, (Russian).

7. V. Kolesova and E. Cherkaeva, Computation of regional vector geomagnetic fields from
intensity data. Report N 47 (736), Moscow, IZMIRAN, 1987, 24 p, (Russian).

8. V. Kolesova and E. Cherkaeva, Vector magnetic anomalies derived from intensity measure-
ments. Report N 46 (735), Moscow, IZMIRAN, 1987, 23 p, (Russian).

9. V. Kolesova and E. Cherkaeva, A vector model of the magnetic field based on a system of
dipole sources. Geomagnetism and Aeronomy, 1987, 27, 1, 151 ­ 153.

10. V. Kolesova and E. Cherkaeva, Computation of anomalous magnetic field components from
intensity survey data. Geomagnetism and Aeronomy, 1986, 26, 6, 884 ­ 886.

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11. E. Cherkaeva, Estimation of unremovable uncertainty in the determination of the compo-
nents of the geomagnetic field. Izv. Acad. Sci. U.S.S.R., Physics of Solid Earth, 1990, 4, 289 ­
294.

12. E. Cherkaeva and A. Cherkaev, Bounds for detectability of material damage by noisy electri-
cal measurements. In: Structural and multidisciplinary optimization, N. Olhoff and G. I. N. Roz-
vany eds, Pergamon, 1995, 543 ­ 548.

13. E.Cherkaeva and A.C. Tripp, Optimal survey design using focused resistivity arrays. IEEE,
Trans. Geoscience and Remote Sensing, 1996, 34, 2, 358 ­ 366.

14. E. Cherkaeva and A.C. Tripp, Bounds on Porosity for Dielectric Logging. European Con-
sortium on Mathematics in Industry, Denmark, 1996, 304 ­ 306.

15. E. Cherkaeva and A.C. Tripp, Inverse conductivity problem for inexact measurements.
Inverse Problems, 1996, 12, 869 ­ 883.

16. E. Cherkaeva, Optimal source control and resolution in nondestructive testing. Structural
and Multidisciplinary Optimization, 1997, 13, 1, 12 ­ 16.

17. E. Cherkaeva and A.C. Tripp, Source optimization in the inverse geoelectrical problem.
Inverse Problems in Geophysical Applications, H.W. Engl, A. Louis, and W. Rundell, eds.,
SIAM, Philadelphia, 1997, 240 ­ 256.

18. A.C. Tripp, E. Cherkaeva, and J. Hulen, Bounds on the complex conductivity of geophysical
mixtures. Geophysical Prospecting, 1998, 46, 6, 589 ­ 601.

19. A.C. Tripp, H.P. Ross, and E. Cherkaeva, Three dimensional modeling of SP data. Pro-
ceedings, 23-rd Workshop Geothermal Reservoir Engineering, Stanford, 1998, 234 ­ 239.

20. E. Cherkaeva and A.C. Tripp, On optimal design of transient electromagnetic waveforms.
Expanded Abstracts, 67th Ann. Meeting, Soc. Exploration Geophys., 1997, 438 ­ 441.

21. K.M. Golden, D. Borup, M. Cheney, E. Cherkaeva, M.S. Dawson, Kung-Hau Ding, A.K.
Fung, D. Isaacson, S.A. Johnson, A.K. Jordan, J.A. Kong, Ronald Kwok, Son V. Nghiem, R.G.
Onstott, J. Sylvester, D.P. Winebrenner, and I.H.H. Zabel, Inverse electromagnetic scattering
for sea ice. IEEE Trans. on Geoscience and Remote Sensing, 1998, 36, 5, 1675 ­ 1704.

22. A.C. Tripp, H.P. Ross, J. Moore, and E. Cherkaeva, SP interpretation for forced convection
along a vertical fracture zone, Proceedings, 24-th Workshop on Geothermal Reservoir Engineer-
ing, Stanford University, Stanford, 1999, 281 ­ 286.

23. E. Cherkaeva, Inverse electromagnetic problem for lossy medium in intermediate range of
frequencies, Mathematical and Numerical Aspects of Wave Propagation, J. de Santo, ed., SIAM,
Philadelphia, 1998, 520 ­ 522.

24. H. Bertete-Aguirre, E. Cherkaeva, and M. Oristaglio, Non-smooth gravity problem. 68th
Ann. Meeting, Soc. Exploration Geophys., 1998, 170 ­ 173.

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25. E. Cherkaeva and K. Golden, Inverse bounds for microstructural parameters of composite
media derived from complex permittivity measurements, Waves in Random Media, 1998, 8, 437
­ 450.

26. E. Cherkaeva and A.C. Tripp, Inductive source design for fracture detection. 24-th Workshop
Geothermal Reservoir Engineering, Proceedings, Stanford University, Stanford, 1999, 268­274.

27. A. Cherkaev and E. Cherkaev, Structural optimization and biological "designs". Solid
Mechanics and its Applications, v. 69: Synthesis in Bio Solid Mechanics, P. Pedersen and M. P.
Bendsoe, eds., Kluwer Academic Press, 1999, 247­264.

28. D. Johnson, E. Cherkaev, C. Furse, and A.C. Tripp, Cross-borehole delineation of a conduc-
tive ore deposit in a resistive host ­ Experimental design. Geophysics, 2001, V. 66, 3, 824­835.

29. A. Cherkaev and E. Cherkaeva, Optimal design for uncertain loading conditions. In: Ho-
mogenization, V. Berdichevsky, V. Jikov, and G. Papanicolaou, eds., World Scientific, 1999,
193­213.

30. E. Cherkaev and A. Cherkaev, Design versus loading: min-max approach. Proceedings of
3rd World Congress of Structural and Multidisciplinary Optimization, 1999, 247 ­ 250.

31. E. Cherkaev, A.H. Khan, and A.C. Tripp, Fracture surface characterization through X-ray
tomography, Proceedings, 25-th Workshop Geotherm. Reservoir Engineer., Stanford, 2000, 216
­ 221.

32. A.C. Tripp, E. Cherkaeva, and R.D. Jarrard, High-resolution adaptive induction logging:
petrophysical and electromagnetic considerations, Subsurface sensing technologies and applica-
tions, Proceedings­SPIE, Vol. 4129, Nguyen, C., ed., 2000, 175 ­ 179.

33. E. Cherkaev and A.C. Tripp, Optimal design of focusing inductive arrays for inhomogeneous
medium, IEEE Intern.Conf. on Phased Array Systems and Technology, 2000, 485 ­ 488.

34. H. Bertete-Aguirre, A.C. Tripp, and E. Cherkaev, The borehole environment in triaxial
induction logging, 26-th Workshop Geothermal Reservoir Engineering, Proceedings, Stanford,
2001, 278 ­ 283.

35. A.C. Tripp, E. Cherkaev, and J. Moore, Representation and inductive response of frac-
tal resistivity distribution, Proceedings: 26-th Workshop Geothermal Reservoir Engineering,
Stanford, 2001, 296­301.

36. E. Cherkaev, A new inversion method for dissipating electromagnetic problem, Fifth Interna-
tional Conference on Mathematical and Numerical Aspects of Wave Propagation, A. Bermudez
et al., eds., SIAM, 2000, 637 ­ 642.

37. H. Bertete-Aguirre, A.C. Tripp, and E. Cherkaev, Paradigms and pitfalls using 3D data
from induction logging tools, Stanford Geothermal Workshop, 2002, 221-225.



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38. H. Bertete-Aguirre, E. Cherkaev, and M. Oristaglio, Non-smooth gravity problem with total
variation penalization functional, Geophys. Journal International, 2002, 149, 499 ­ 507.

39. E. Cherkaev, Inverse homogenization for evaluation of effective properties of a mixture,
Inverse Problems, Special issue to celebrate Pierre Sabatier's 65th birthday, 2001, 17, 1203 ­
1218.

40. E. Cherkaev, Spectral coupling of effective properties of a random mixture, IUTAM Sym-
posium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics, A.B.
Movchan, ed., Kluwer Academic Press, 2003, 331 ­ 340.

41. E. Cherkaev and D. Zhang, Coupling of the effective properties of a random mixture through
the reconstructed spectral representation, Physica B: Physics of Condensed Matter, 2003, 338
(1 - 4), 16 ­ 23.

42. E. Cherkaev and A. Cherkaev, Principal compliance and robust optimal design, The Rational
Spirit in Modern Continuum Mechanics, Essays and Papers Dedicated to the Memory of Clifford
Ambrose Truesdell III, C.-S. Man and R.L. Fosdick, eds., Kluwer Academic Publishers, 2004.
Also in: Journal of Elasticity, 2003, 72 (1-3), 71 ­ 98

43. A. Cherkaev, E. Cherkaev, and L. Slepyan, Transition waves in bistable structures I: Delo-
calization of damage, J. Mech. Phys. Solids, 2004. In print.

44. L. Slepyan, A. Cherkaev, and E. Cherkaev, Transition waves in bistable structures II:
Analytical solution, wave speed, and energy dissipation, J. Mech. Phys. Solids, 2004. In print.

45. H. Bertete-Aguirre, E. Cherkaev, and A. Fogelson, A total variation algorithm for non-
smooth solutions of the inverse geophysical problem. In progress.

46. E. Cherkaev, P.C. Hansen, and A. Berglund, Regularization using non-negativity constraints.
In progress.

47. A. Cherkaev and E. Cherkaev, Calculus of Variations and Applications, Textbook. In
progress.




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