CURRICULUM VITAE
John Kenneth Shaw
Department of Mathematics and Statistics
Georgetown University
Washington DC 20057-1233
EDUCATION:
1965
B.S., Mathematics, Mississippi State University, Starkville, Mississippi
1967
M.S., Mathematics, Mississippi State University, Starkville, Mississippi
1970
Ph.D., Mathematics, University of Kentucky, Lexington, Kentucky
PROFESSIONAL EMPLOYMENT:
Jul 2010-present:
Director of Graduate Studies, Mathematics and Statistics Department,
Georgetown University
Jul 2008-Jul 2010:
Director of Operations, Graduate Program in Mathematics and Statistics,
Georgetown University
Mar 2007-Feb 2008:
Program Officer, Office of Naval Research, Mathematical Sciences
Aug 2005-Feb 2007:
Director of Operations, Graduate Program in Mathematics and Statistics,
Georgetown University
Aug 2002-Aug 2005:
Program Manager, Applied Mathematics, National Science Foundation
Sept 1998-Sept 2002:
Visiting Professor of Electrical and Computer Engineering, Virginia
Tech
Summers, 1990-95:
U.S. Naval Research Laboratory, Washington, DC, ASEE Fellow
Spring, 1988:
Visiting Professor of Mathematics, University of Tennessee
Winter, 1988:
Visiting Professor of Mathematics, University of Alabama - Birmingham
Fall, 1984:
Visiting Professor of Mathematics, University of Tennessee
1982-2005:
Professor of Mathematics, Virginia Tech
1975-82:
Associate Professor of Mathematics, Virginia Tech
CURRICULUM VITAE
John Kenneth Shaw
Page 2
1979-80:
Visiting Associate Professor of Mathematics, University of Tennessee
1970-75
Assistant Professor of Mathematics, Virginia Tech
1973:
Mathematician, GS-13, WAE (Summer 1973) United States Naval
Weapons Laboratory, Dahlgren, Virginia
PUBLICATIONS:
Books:
"Mathematical Principles of Optical Fiber Communications," vol. 76, CBMS-NSF Regional
Conference Series in Applied Mathematics, SIAM Publications, Philadelphia PA, 2004.
Papers in Edited Conference Proceedings:
Hinton, D. B. and J. K. Shaw. 1981. Titchmarsh-Weyl Theory for Hamiltonian Systems. In
Spectral Theory of Differential Operators. I. W. Knowles and R. T. Lewis (Eds.) NorthHolland, New York, pp. 219-231.
Shaw, J. K. and D. B. Hinton. 1983. Well-posed Boundary Problems for Hamiltonian Systems of
Limit Point or Limit Circle Type. Proceedings of 1982 Dundee (Scotland) Conference on
Differential Equations. Springer-Verlag Lecture Notes in Mathematics. 964: 614-631.
Hinton, D. B. and J. K. Shaw. 1983. Titchmarsh's Lambda-Dependent Boundary Conditions for
Hamiltonian Systems. Proceedings of 1982 Dundee (Scotland) Conference on Differential
Equations. Springer-Verlag Lecture Notes in Mathematics. 964: 298-317.
Hinton, D. B. and J. K. Shaw. 1984. On the Spectrum of a Hamiltonian System with Two
Singular Endpoints. Proceedings of the 1983 International Conference on Spectral theory,
Birmingham, Alabama, U.S.A. North-Holland Mathematical Studies. 92: 307-312.
Krall, A. M., J. K. Shaw and D. B. Hinton. 1984. Boundary Conditions for Differential Systems
in Intermediate Limit Situations. Proceedings of the 1983 International Conference on
Spectral Theory, Birmingham, Alabama, U.S.A. North-Holland Mathematical Studies. 92:
301-306.
Hilton, D. B. and J. K. Shaw. 1984. Some Extensions of Results of Titchmarsh on Dirac
Systems. Proceedings of the 1984 Argonne National Laboratory Workshop on Spectral
Theory, Agronne, Illinois, U.S.A., pp. 135-143.
Shaw, J. K. and D. B. Hinton. 1984. Dirac Systems with Oscillating Potentials and Absolutely
Continuous Spectra. Proceedings of the 1984 Argonne National Laboratory Workshop on
Spectral Theory, Agronne, Illinois, U.S.A., pp. 195-202.
Hinton, D. B. and J. K. Shaw. 1986. Asymptotics of Solutions and Spectra of Perturbed Periodic
CURRICULUM VITAE
John Kenneth Shaw
Page 3
Hamiltonian Systems. Proceedings of 1986 International Conference on Spectral Theory,
Birmingham, Alabama, Springer-Verlag L.N.M. Vol. 1285, pp. 169-174.
Hinton, D. B. and J. K. Shaw. 1987. Spectrum of a Hamiltonian System with Spectral Parameter
in a Boundary Condition. In Oscillation, Bifurcation and Chaos, CMS Conference
Proceedings, Vol. 8, American Math. Soc., 1987, pp. 171-186.
Hinton, D. B., M. Klaus and J. K. Shaw. 1987. Levinson's Theorem and Titchmarsh-Weyl
Theory for A Dirac System. Argonne National Laboratory Proceedings ANL-87-26, Vol. 1,
pp. 119-134, Argonne, Illinois, USA.
Shaw, J. K., A. M. Vengsarkar and R. O. Claus. 1991. Theoretical Analysis of Two-Mode,
Elliptical-Core Optical Fiber Sensors. Proc. SPIE Opt. Eng., vol. 1367, paper no. 24, 1990.
Shaw, J. K., B. R. Fogg, W. M. Henry, A. M. Vengsarkar and R. O. Claus. 1991. Weakly
guiding waveguide analysis for elliptical core optical fiber, in Fiber Optic Sensor Based
Smart Materials and Structures (R. O. Claus, ed.), pp. 55-60, I.O.P. Publishing, Philadelphia.
Sirkis, J. S., J. K. Shaw, T. A. Berkoff, A. D. Kersey, E. J. Friebele and R. T. Jones. 1994.
Development of an impact detection technique using optical fiber sensors and neural
networks. SPIE Proc. 2191, 158-165.
P. M. Schindler, J. K. Shaw, R. G. May and R. O. Claus. 1994. Neural network processing of
optical fiber sensor signals for impact location. Materials Research Society, 1994 Fall
Meeting, Symposium I1: Materials for Smart Structures, Nov.28 - Dec. 2, 1994, Boston MA.
P. M. Schindler, J. K. Shaw, R. G. May and R. O. Claus. 1995. Location of impacts on
composite panels by embedded fiber optic sensors and neural network processing. SPIE
Proceedings, Vol. 2444 (Smart Sensing, Processing and Instrumentation, Feb. 26 - March 3,
1995, San Diego, CA).
J. K. Shaw , A. P. Baronavski and D. Ladouceur. 1997. Applications of the Walker Method. In
“Spectral Theory and Computational Methods of Sturm-Liouville Problems,”
D. Hinton and P. Schaefer, Eds., Marcel-Dekker, New York, 1997, 377-395.
Jacobs, I., J.-H. Lee and J. K. Shaw. 1998. Spectral asymptotics of nonlinear pulse propagation in
fibers, SPIE Proceedings, Vol. 3491 (ICAPT 98, July, Ottawa, Ontario, Canada), pp.538- 43.
Brandt-Pearce, M., I. Jacobs, J.-H. Lee and J. K. Shaw. 1999. Variational analysis of optimal
pulse widths in dispersive nonlinear fibers, Proceedings of Conference on Lasers and
Electro-Optics (CLEO 99), Optical Society of America, 436-7.
Ira Jacobs and J. K. Shaw, Spectral widths of prechirped optical pulses, Proceedings of OPTO
SE, Optical Society of America, 2000, p. 57, paper SE02-14.
Ira Jacobs, J. K. Shaw and N. Wongsangpaiboon. 2000. Variational approach to optimal
dispersion compensation, SPIE Proceedings Vol. 4087 (ICAPT 2000, July, Quebec City,
Quebec), pp. 420-428.
CURRICULUM VITAE
John Kenneth Shaw
Page 4
Ira Jacobs, J. K. Shaw and V. Wongpaibool. 2001. Effect of fiber loss on signal design for
dispersive nonlinear fibers, Proceedings of Conference on Lasers and Electro-Optics (CLEO
2001), Optical Society of America, 473-474.
I. Jacobs, J. K. Shaw and V. Wongpaibool, Effects of phase modulation and filtering on NRZ and
RZ signals, Proceedings of the 35th Asilomar Conference on Signals, Systems and
Computers Conference, Asilomar CA, November 4-7, 2001, pp. 13-17, Omnipress CD, 2002.
V. Wongpaibool, I. Jacobs and K. Shaw, New dispersion resistant format for fiber optic
transmission, in SPIE Proceedings vol. 4872, Optical Transmission Systems SPIE
Conference, Boston, July, 2002, pp. 49-58.
V. Wongpaibool, I. Jacobs and K. Shaw, Comparison of alternate carrier-suppressed retirn-tozero modulation formats, ITCOM Proceedings, June 2003.
Papers in refereed journals:
Shaw, J. K. 1971. Whittaker constants for entire functions of several complex variables, Pacific
J. Math. 38: 239-250.
Buckholtz, J. D. and J. K. Shaw. 1972. Zeros of partial sums and remainders of power series,
Trans. Amer. Math. Soc. 166: 269-284.
Shaw, J. K. 1973. On coefficients and zeros of sections of power series. Proc. Amer. Math.
Soc. 39: 567-570.
Frank, J. L. and J. K. Shaw. 1973. On analytic functions with gaps. J. London Math. Soc. 6:
577-582.
Crofts, G. W. and J. K. Shaw. 1973. Successive remainders of the Newton series. Trans. Amer.
Math. Soc. 181: 369-383.
Frank, J. L. and J. K. Shaw. 1974. Abel-Goncarov polynomial expansions. J. Approx. Theory.
10: 6-22.
Buckholtz, J. D. and J. K. Shaw. 1974. On functions expandable in Lidstone series. J. Math.
Anal. and Appl. 47: 626-632.
Frank, J. L. and J. K. Shaw. 1975. Univalence of odd derivatives of even entire functions. J.
Reine Angew. Math. 277: 1-4.
Buckholtz, J. D. and J. K. Shaw. 1975. Series expansions of analytic functions, II. Pacific J.
Math. 56: 373-384.
Buckholtz, J. D. and J. K. Shaw. 1975. Generalized completely convex functions and Sturm-
CURRICULUM VITAE
John Kenneth Shaw
Page 5
Liouville operators. SIAM J. Math. Anal. 6: 812-828.
Shaw, J. K. 1976. Series expansions and linear differential operators. SIAM J. Math. Anal. 7:
311-331.
Frank, J. L. and J. K. Shaw. 1976. On analytic functions with gaps, II. Acta. Math. Acad. Sci.
Hungary. 27: 37-42.
Shaw, J. K., L. W. Johnson and R. D. Riess. 1976. Accelerating convergence of eigenfunction
expansions. Math. Comp. 30: 469-477.
Shaw, J. K. 1977. Analytic properties of generalized completely convex functions. SIAM J.
Math. Anal. 8: 271-279.
Shaw, J. K. and W. R. Winfrey. 1978. Positivity properties of linear differential operators. J.
Math. Anal. and Appl. 65: 184-200.
Shaw, J. K. 1980. On the oscillartory behavior of singular Sturm-Liouville expansions. Trans.
Amer. Math. Soc. 257: 483-505.
Shaw, J. K. and C. L. Prather. 1980. Zeros of successive derivatives and iterated operators on
analytic functions. Proc. Amer. Math. Soc. 79: 225-232.
Hinton, D. B. and J. K. Shaw. 1981. On Titchmarsh-Weyl M-functions for linear Hamiltonian
systems. J. Differential Equations. 40: 316-342.
Shaw, J. K. and C. L. Prather. 1982. Zeros of successive derivatives of functions analytic in a
neighborhood of a single pole. Michigan Math. J. 29: 111-119.
Hinton, D. B. and J. K. Shaw. 1982. On the spectrum of a singular Hamiltonian system.
Quaestiones Mathematicae 5: 29-81.
Prather, C. L. and J. K. Shaw. 1983. Zeros of successive iterates of multiplier-sequence
operators. Pacific J. Math. 104: 205-218.
Shaw, J. K. and C. L. Prather. 1982. A polya "shire" theorem for functions with algebraic
singularities. Int. J. Math. and Math. Sci. 5: 691-706.
Hinton, D. B. and J. K. Shaw. 1983. Parameterization of the M-function for a Hamiltonian
system of limit circle type. Proc. Roy. Soc. Edinburgh. 93A:349-360.
Everitt, W. N., D. B. Hinton and J. K. Shaw. 1983. The asymptotic form of the TitchmarshWeyl M-coefficient for Dirac systems. J. London Math. Soc. 27: 465-476.
Hinton, D. B. and J. K. Shaw. 1984. Hamiltonian systems of limit point or limit circle type with
both endpoints singular. J. Diff. Eqs. 50: 444-464.
Hinton, D. B. and J. K. Shaw. 1984. On boundary problems for Hamiltonian systems with two
singular points. SIAM J. Math Anal. 15: 272-286.
CURRICULUM VITAE
John Kenneth Shaw
Page 6
Prather, C. L. and J. K. Shaw. 1983. On the oscillation of differential transforms of
eigenfunction expansions. Trans. Am. Math. Soc. 280: 187-206.
Hinton, D. B. and J. K. Shaw. 1984. The asymptotic form of the Titchmarsh-Weyl coefficient
for a fourth order differential equation. Proc. Roy. Soc. Edinburgh 97A: 109-123.
Halvorsen, S. G. and J. K. Shaw. 1984. Spiral motion for components of a Dirac system of limit
circle type. Proc. Roy. Soc. Edinburgh 97A: 97-104.
Hinton, D. B. and J. K. Shaw. 1985. On the absolutely continuous spectrum of the perturbed
Hill's equation. Proc. London Math. Soc. (3), 50: 175-192.
Hinton, D. B. and J. K. Shaw. 1985. Absolutely continuous spectra of Dirac systems with long
range, short range and oscillating potentials. Quart. J. Math. Oxford (2), 36: 183-213.
Hinton, D. B. and J. K. Shaw. 1986. Absolutely continuous spectra of second order differential
operators with short and long range potentials. SIAM J. Math Anal 17: (1986), 182-196.
Hinton, D. B. and J. K. Shaw. 1985. Spectral concentration for Hamiltonian systems. Helv.
Phys. Acta. 58: 982-994.
Hinton, D. B. and J. K. Shaw. 1986. On the spectrum of a singular Hamiltonian system, II,
Quaes. Math. 10, 1-48.
Hinton, D. B., A. B. Mingarelli, T. T. Read, and J. K. Shaw. 1986. On the number of
eigenvalues in the spectral gap of a Dirac operator. Proc. Edin. Math. Soc. 29, 367-378.
Hinton, D. B. and J. K. Shaw. 1987. Dirac systems with discrete spectra. Canadian J. Math. 39,
100-122.
Hinton, D. B. and J. K. Shaw. 1987. Absolutely continuous spectra of perturbed periodic
Hamiltonian systems. Rocky Mtn. J. Math. 17, 727-748.
Hinton, D. B., M. Klaus and J. K. Shaw. 1988. Levinson's Theorem and Titchmarsh-Weyl
Theory for Dirac systems, Proc. Roy. Soc. Edin. 109A, 173-186.
Krall, A. M., D. B. Hinton and J. K. Shaw. 1987. Boundary Conditions for Differential
Operators with Intermediate Difficiency Index. Applicable Analysis 25, 43-53.
Hinton, D. B., M. Klaus and J. K. Shaw. 1989. Asymptotic phase, asymptotic modulus and
Titchmarsh-Weyl coefficient for a Dirac system. J. Math. Anal. Appl. 142, 108-129.
Hinton, D. B., M. Klaus and J. K. Shaw. 1989. Series representations and asymptotics for
Titchmarsh-Weyl functions. Diff. and Int. Eqs. 2, 419-429.
Hinton, D. B., M. Klaus and J. K. Shaw. 1989. Titchmarsh-Weyl-Levinson theory for a fourdimensional Hamiltonian system. Proc. London Math. Soc. (3) 59, 339-372.
CURRICULUM VITAE
John Kenneth Shaw
Page 7
Hinton, D. B., M. Klaus and J. K. Shaw. 1990. On the Titchmarch-Weyl function for the halfline perturbed Hill's equation. Quart. J. Math. Oxford. (2) 41, 189-224.
Hinton, D. B., M. Klaus and J. K. Shaw. 1989. High energy asymptotics for the scattering matrix
on the line. Inverse Problems. 5, 1049-1056.
Hinton, D. B. and J. K. Shaw. 1990. Differential operators with spectral parameter incompletely
in the boundary conditions. Funkcialaj Ekvacioj 33, 363-385.
Hinton, D. B., M. Klaus and J. K. Shaw. 1991. Halfbound states and Levinson's theorem for
discrete systems. SIAM J. Math. Anal. 22, 754-768.
Shaw, J. K., A. M. Vergsarkar and R. O. Claus. 1991. Direct numerical analysis of dual-mode,
elliptical-core optical fibers. Optics Letters 16, 135-137.
Hinton, D. B., M. Klaus and J. K. Shaw. 1991. Embedded halfbound states for potentials of
Wigner-von Neumann type. Proc. London Math. Soc. 62, 607-646.
Hinton, D. B., A. K. Jordan, M. Klaus and J. K. Shaw. 1991. Inverse scattering on the line for
Dirac systems. J. Math. Phys. 32, 3015-3030.
Baronavski, A. P., H. D. Ladouceur and J. K. Shaw. 1993. Analysis of cross-correlation, phase
velocity mismatch and group velocity mismatches in sum-frequency generation. IEEE J.
Quantum Electronics 29, 580-589.
Shaw, J. K., A. K. Jordan and W. R. Winfrey. 1993. Leaky to bound mode transition in a
depressed cladding planar optical waveguide. J. Opt. Soc. Am. 10, 1157-1167.
Baronavski, A. P., H. D. Ladouceur and J. K. Shaw. 1993. Dependence of sum frequency field
intensity on group velocity mismatches. IEEE J. Quantum Electronics 29, 2928-2933.
Shaw, J. K., J. S. Sirkis, E. J. Friebele, R. T. Jones and A. D. Kersey. 1995. Model of
transverse plate impact dynamics for the design of impact location methodologies,
AIAA Journal 33, 1327-1334.
J. K. Shaw, W. M. Henry and W. R. Winfrey. 1995. Weakly guiding analysis of elliptical core
step index waveguides based on the characteristic numbers of Mathieu's equation. Journal of
Lightwave Technology 13, 2359-2371.
Brandt-Pearce, M, I. Jacobs, J.-H. Lee and J. K. Shaw. 1999. The optimal input Gaussian pulse
width for transmission in dispersive nonlinear fibers, J. Optical Soc. Am. B 16, 1189-96.
M. Klaus and J. K. Shaw, Influence of pulse shape and frequency chirp on stability of optical
solitons, Optics Communications 197 (2001) 491-500.
M. Klaus and J. K. Shaw, Purely imaginary eigenvalues of Zakharov-Shabat systems, Physical
Review E 65 (2002), paper 036607, 1-5.
M. Klaus and J. K. Shaw, On the eigenvalues of Zakharov-Shabat systems, SIAM J Math Anal.
CURRICULUM VITAE
John Kenneth Shaw
Page 8
34 (2003), 759-773
I.
Jacobs and J. K. Shaw, Optimal dispersion pre-compensation by pulse chirping, Applied
Optics 41 (2001), 1057-1062.
V. Wongpaibool, I. Jacobs and J. K. Shaw, Comments on SSB direct detection scheme in
duobinary-carrier suppressed RZ transmission, Electronics Letters 39 (2003), 86-87.
Patent Disclosures:
Patent disclosure for "New Dispersion-Resistant Modulation Format for Fiber Optic Systems"
filed 5/15/02, VTIP 02.007.
Invited papers at Conferences:
Complex Variable Symposium, Lexington, Kentucky, 1976.
International Conference on Spectral Theory, Birmingham, Alabama, 1981.
Seventh Dundee Conference on Ordinary and Partial Differential Equations, Dundee, Scotland,
UK, 1982.
International Conference on Spectral Theory, Birmingham, Alabama, 1983.
International Conference on Spectral Theory, Birmingham, Alabama, 1986.
NIHE Conference on Differential Equations, Dublin, Ireland, 1987.
Oberwolfach Conference on Spectral Theory, Germany, 1989.
Oberwolfach Conference on Spectral Theory, Germany, 1991.
ICIAM Symposium on Waveguides, Washington, DC, 1991.
DCU Conference on Differential Equations, Dublin, Ireland, 1993.
Barrett Lectures, Knoxville Tennessee, USA, March, 1996.
International Conference on Applications of Photonics Technology (ICAPT), Ottawa, July, 1998.
International Conference on Applications of Photonics Technology (ICAPT), Quebec City, July,
2000.
Plenary speaker, CBMS-NSF regional conference, May, 2002, North Carolina A&T State
University, 10 lectures.
CURRICULUM VITAE
John Kenneth Shaw
Page 9
FUNDED RESEARCH:
Recipient (principal investigator) of National Science Foundation research grant for 1981-82 for
proposal "Problems Associated with the Titchmarsh-Weyl M-Function and Spectral Theory
of Ordinary Differential Operators."
ASEE Research Fellowship, Naval Research Laboratory, Summers 1990-95.
Recipient (principal investigator) of National Science Foundation research grant for 1998-99 for
proposal on interdisciplinary research in nonlinear optics. Spent grant year in the EE
Department at VPI&SU.
Recipient of research grant from F&S Corporation (Blacksburg), 1998-99, for proposal as team
mathematician on Air Force STTR Phase I project using neural networks to compute flight
dynamics.
PROFESSIONAL SERVICE:
Research supervision:
Directed doctoral thesis in complex analysis, 1976 (W. R. Winfrey).
Directed doctoral thesis in spectral theory, 1991 (R. G. Yordanov).
Directed Masters Thesis in EE, 2000 (N. Wongsangbaipoon).
Review Panels:
NSF Review Panels, 2002, 2005-2011.
Conference participation:
Founder, and chairman of ad hoc organizing committee, for 1981 and 1982 Southeastern-Atlantic
Conference on Differential Equations.
Technical Advisor, FEORC Smart Materials Workshops.
Organized session in fiber optic communications, PIERS meeting, Boston, July, 2000.
Departmental committee chairmanships or directorships:
Undergraduate Research Director
Graduate Program Committee
Committee of Graduate Advisors
Service Course Committee
Extension Committee
Colloquium Committee
Library Committee
Honors Director
Layman Prize Committee
ACM Committee
CURRICULUM VITAE
John Kenneth Shaw
Page 10
College level committees:
Mathematics Committee, College of Engineering
College Self-Study Committee
College Research Planning Committee
College Personnel Committee
College Nominations Committee
Personnel experience:
Departmental Personnel Advisory Committee
College Personnel Committee
Student perception of teaching:
Rated 3.7 out of 4.00 for Spring, 2001.
Nominated for Certificate of Teaching Excellence by Departmental Committee, 1984.
Honoraria:
Member of the Electromagnetics Academy, Institute for Theory and Computation, and "Who's
Who in Electromagnetics".