SIGMA 9 (2013) 022, 21 pp.

26. Squared Eigenfunctions and Linear Stability Properties of Closed Vortex Filaments. (with S.F. Keith and S. Lafortune)

Nonlinearity 24, no. 12 (2013) 3555-3583.

25. Stability of Small-amplitude Torus Knot Solutions of the Localized Induction Approximation. (with T. Ivey)

J. Phys. A: Math. Theor. 44 (2011) 335204.

PDF version

24. Remarks on KdV-like Flows on Star-Shaped Curves. (with T. Ivey and G. Marí-Beffa)

Physica D, Vol. 238, no. 2 (2009), 788-797.

PDF version (arXiv:nlin.SI/0808.3593v1)

23. Finite-gap solutions of the Vortex Filament Equation: Isoperiodic Deformations. (with T. Ivey)

Journal of Nonlinear Science, Vol. 17, no. 6 (2007), 527--567.

PDF version (arXiv:nlin.SI/0612065)

22. Finite-gap solutions of the Vortex Filament Equation: Genus one solutions and symmetric solutions. (with T. Ivey)

Journal of Nonlinear Science, Vol 15, no. 5 (2005), 321--361

PDF version (arXiv:nlin.SI/0411065)

Four lectures delivered at the Fourth International Conference on Geometry, integrability and quantization. Varna, Bulgaria 2003.

Geometry, integrability and quantization. I.M. Mladenov and G.L. Naber Editors. Softex, Sofia (2004), 11--50

PDF version

*20. Knot types, Floquet spectra, and finite-gap solutions of the
Vortex
Filament Equation.* (with T. Ivey)

Journal of Mathematics and Computers in Simulation. Vol. 55, No. 4-6
(2001), 341-350

PDF
version

*19. Connecting geometry, topology and spectra for finite-gap NLS
potentials.*
(with T. Ivey)

Physica D 152-153 (2001), 9-19

PostScript
version

*18. Recent developments in integrable curve dynamics.*

In *Geometric Approaches to Differential Equations.* Lecture
Notes
of the Australian Mathematical Society, Vol. 15 (2000), 56-99

Cambridge University Press.

PostScript
version

*17. Topology and sine-Gordon evolution of constant torsion curves.*
(with T. Ivey)

Physics Letters A 254 (1999), 170-178

PostScript
version

*16. Backlund transformations and knots of constant torsion.* (with
T. Ivey)

Journal of Knot Theory and its Ramifications Vol. 7 No. 6 (1998),
719-746

PostScript
version

Physics Letters A, 203 (1995), 333-344

Rogue Waves in Deep Water

*14. Characterizing JONSWAP Rogue Waves and their Statistics via Inverse Spectral
Data.* (with C.M. Schober)

Wave Motion, In Press (2016)

*13. Numerical investigation of stability of breather-type solutions of the nonlinear
Schroedinger equation.* (with C.M. Schober)

Nat. Hazards Earth Syst. Sci., 14, (2014)

*12. Observable and reproducible rogue waves.* (with C.M. Schober)

J. Optics, 15, no. 10, 105201 (2013)

*11. Dynamical Criteria for Rogue Waves in NLS Models.* (with C.M. Schober)

Nonlinearity, 25, (2012), 19 pp.

*10. Rogue Waves in Higher-Order
Nonlinear Schroedinger Models.* (with C. Schober)

in Extreme Ocean Waves, E. Pelinovsky and C. Kharif Editors. Springer
(2008), 31--52

PDF version

*9. Homoclinic chaos increases the likelihood of rogue wave formation.*
(with C. Schober)

Physics Letters A , 298 (5-6) (2002), 335-349

PDF
version

*8. Chaotic Dynamics for a Symmetry-Breaking perturbation of the NLS
equation.* (with C. Schober)

Journal of Mathematics and Computers in Silmulation. Vol. 55, No. 4-6
(2001), 351-364

Postscript
version

*7. Mel'nikov analysis of a Hamiltonian Perturbation of the Nonlinear
Schroedinger Equation.* (with C. Schober)

NATO Science Series C, Math. and Phys. Sci., Vol 533. Kluwer Academic
Press (1999), 558-562

Postscript
version

* 6. Mel'nikov analysis of numerically induced chaos in the Nonlinear
Schroedinger
Equation.* (with N.M. Ercolani, D.W. McLaughlin, C.M. Schober)

Physica D 89 (1996), 227-260

*5. Schwarz Reflection Geometry II: Local and Global Behavior of the
Exponential Map. *(with
J. Langer)

Experimental Mathematics, Vol 16, no. 3 (2007), 321--346

PDF version

*4. Schwarz Reflection Geometry I: Continuous Iteration of
Reflection.
*(with
J. Langer)

Mathematische Zeitschrift, Vol. 244, No. 4 (2003), 775-804

PDF
version

Encyclopedia Articles

3. Entries*: The Mel'nikov Method, Elliptic Functions.
*Encyclopedia
of Nonlinear Science

Ed. Alwyn Scott, New York and London: Routledge, 2004.

Theses

Ph.D. Dissertation. University of Arizona, 1994.

Advisor: Nicholas Ercolani.

* 1. Influenza di un Segnale Esterno sulla Dinamica Cooperativa di un Gas Atomico: Risultati Analitici.*

Tesi di Laurea. Universitá degli Studi di Milano, 1989.

Advisor: Vincenzo Benza.