CURRICULUM VITAE Paola Morando Personal Data Born in Milano

CURRICULUM VITAE
Paola Morando
Personal Data
Born in Milano (Italy), on 27.9.1964, Italian citizen.
Currently spoken languages: Italian, English, French, Spanish.
Education
1988 Degree in Mathematics, cum laude, Università degli Studi di Milano, Thesis on “ Mathematical
Foundation of Gauge Theories with applications to General Relativity” (advisor Prof. Franco Magri).
1993 Ph.D. Mathematics, Università degli Studi di Milano, Thesis on “Geometrical Methods in Lagrangian
Mechanics and a Generalization of the Noether Theorem” (advisor Prof. Enrico Massa )
1994 PostDoctoral fellowship at Università degli Studi di Milano.
Academic positions
1995-2008 Researcher and Lecturer of Mathematical Analysis, Dipartimento di Matematica, Politecnico
di Torino
2008Researcher and Lecturer of Mathematical Analysis, Dipartimento di Sienze Agraraie e
Ambientali, Università degli Studi di Milano
Research Interest
-
Geometrical methods for differential equations
Geometrical formulation of non-holonomic Lagrangian mechanics on jet bundles
Michel theory of symmetry breaking (application of PDE and gauge theories)
Generalization of Hamiltonian formalism (HyperHamiltonian dynamics, Nambu dynamics)
Variational principles and Exterior Differential Systems (EDS)
Symmetries and reduction for ODE and PDE
Paola Morando is the author of about thirty papers on major international scientific journals, and she is
referee for many international mathematical journals.
Teaching
1990-1992 Pre- courses for the Degree in Mathematics, Università degli Studi di Milano
1992-1993 Geometry (exercise classes), Politecnico di Milano
1995-2000 Mathematical Analysis, Geometry, Calculus (exercise classes) , Politecnico di Torino
2000-2008 Mathematical Analysis, Geometry (lessons and exercise classes), Politecnico di Torino
2008Mathemathics , Calculus (lessons and exercise classes), Università degli Studi di Milano
2008-2009 Optimization and its application, Ph.D course, Scuola di Dottorato in Innovazione tecnologica
per le scienze agro-alimentari e ambientali (Facoltà di Agraria dell’ Università degli Studi di Milano)
2009Pre- courses for the Agricolture Faculty
2009-2010 Catturando l’infinito, workshop in Philosophy degree, Università degli Studi di Milano
2010-2011 Differential equations and their applications, Ph.D course, Scuola di Dottorato in Innovazione
tecnologica per le scienze agro-alimentari e ambientali (Facoltà di Agraria dell’ Università degli Studi di
Milano)
Other professional activities
1993
National Certification to teach Mathematics in high school
1992-1994 High School teacher
1996-1998 Co-operation in the production of Hyperstudent, a multimedia project of Politecnico di Torino
2001-2008 Responsible for Mathematics in the Training Orientation Project, Politecnico di Torino
2006-2008 Responsible for Mathematics in the Methodology of Study Project , Politecnico di Torino
2007-2009 Responsible for Mathematics of e-math, an e-learning project of Politecnico di Torino
2009-2011 Ph.D Thesis advisor of Dott. Sammarco (Thesis on “Analytical and Geometrical Aspects of Lie
Group of Differential Equations”)
Papers
1. Paola Morando e Stefano Pasquero, Singular Lagrangian and theHamel-Appell Systems, Acta
Mechanica 96 (1993), 55-66
2. Paola Morando e Stefano Pasquero, Constitutive Characterizations of Non-Ideal Constraints in
Classical Mechanics, Annali dell'Università di Ferrara, Sez VII - Sc. Mat. XXXIX (1993), 111-122
3. Paola Morando e Stefano Pasquero, Almost Jet Structure and First Jet Extension of Fibred
Manifold, New Zeland Journal of Mathematics 23 (1994), 83-90
4. Paola Morando, Tesi di Dottorato dal titolo “Metodi geometrici in Meccanica Lagrangiana ed
Estensione del Teorema di Noether”
5. Paola Morando e Stefano Pasquero, The Symmetry in the Structure of Dynamical and Adjoint
Symmetries of Second Order Differential Equations, Journal of Physics A: Math. Gen. 28 (1995),
1943-1955
6. Paola Morando e Stefano Pasquero, Differential Operators, Symmetries and the Inverse Problem
for Second Order Differential Equations, Journal of Nonlinear Math. Phys. 3 (1996), 68-84
7. Paola Morando, Liouville Condition, Nambu Mechanics, and Differential Forms, Journal of Physics A:
Math. Gen. 29 (1996), L329-L331
8. Giuseppe Gaeta e Paola Morando, Michel theory of symmetry breaking and gauge theory, Annals of
Physics 260 (1997), 149-170
9. Giuseppe Gaeta e Paola Morando, Commuting-flow symmetries and common solutions to
differential equation with common symmetries, Journal of Physics A: Math. Gen. 31 (1998), 337347
10. Giuseppe Gaeta e Paola Morando, Reducible Connections in Gauge Theories, Letters in
Mathematical Physics 45 (1998), 121-129
11. Paola Morando e Stefano Vignolo, A Geometric Approach to Constrained Mechanical System,
Symmetries and Inverse Problem, Journal of Physics A: Math. Gen. 31 (1998), 8233-8245
12. Giuseppe Gaeta e Paola Morando, Hyper-Hamiltonian dynamics, Journal of Physics A: Math. Gen.
35 (2002), 3925-3943
13. Giuseppe Gaeta e Paola Morando, Quaternionic Integrable systems, Symmetry and Perturbation
Theory - SPT2002, S. Abenda, G. Gaeta and S. Walcher eds., World Scientific, 72—81
14. Paola Morando e Massimo Tarallo, Hyper-Hamiltonian Dynamics and Quaternionic Regularity,
Modern Physics Letters A 18 (2003), 1841—1847
15. Giuseppe Gaeta e Paola Morando, A variational principle for volume-preserving dynamics, Journal
of Nonlinear Mathematical Physics 10 (2003), 539—554
16. Giuseppe Gaeta e Paola Morando, Maximal degree variational principles and Liouville dynamics,
Differential Geometry and its Applications 21 (2004), 27—40
17. Giuseppe Gaeta e Paola Morando, Variational principles for involutive systems of vector fields,
International Journal of Geometric Methods in Modern Physics, 1, No. 3 (2004) 201—232
18. Giuseppe Gaeta e Paola Morando, On the geometry of lambda-symmetries and PDE reduction,
Journal of Physics A: Math. Gen. 37 (2004), 6955—6975
19. Giuseppe Gaeta e Paola Morando, PDEs reduction and lambda-symmetries, Note di Matematica,
Universita' di Lecce 23, No.2 (2004), 33—73
20. Giampaolo Cicogna, Giuseppe Gaeta e Paola Morando, On the relation between standard and musymmetries for PDEs , Journal of Physics A: Math. Gen. 37 (2004), 9467—9486
21. Giuseppe Gaeta, Paola Morando e Osman TeomanTurgut, Symmetry reduction in the variational
approach to Liouville dynamics, International Journal of Geometric Methods in Modern Physics, 2,
No. 4 (2005), 657—674
22. Paola Morando, Variational lambda- symmetries and deformed Lie derivative, Symmetry and
Perturbation Theory -- SPT2007, G. Gaeta, R .Vitolo and S. Walcher eds., World Scientific, 140—147
23. Diego Catalano Ferraioli e Paola Morando, Symmetries and first integrals for non-variational
equations, International Journal of Geometric Methods in Modern Physics, 4 , No. 7 (2007), 1217—
1230
24. Paola Morando, Deformation of Lie derivative and mu-symmetries, Journal of Physics A: Math.
Theor., 40, (2007), 11547—11559
25. Diego Catalano Ferraioli e Paola Morando, Local and nonlocal solvable structures in the reduction
of ODEs, Journal of Physics A: Math. Theor., 42 (2009), 035210 (15pp)
26. Diego Catalano Ferraioli e Paola Morando, Applications of solvable structures to the nonlocal
symmetry-reduction of ODEs, Journal of Nonlinear Mathematical Physics, 16 (2009), 27 – 42
27. Paola Morando e Serena Sammarco, Reduction of exterior differential systems for ordinary
variational problems , Journal of Physics A: Math. Theor., 45 (2012), 065202 (18pp)
28. Lisa De Lorenzi, Paola Morando, Jordi Planas, Michele Zannotti, Luciano Molteni e Pietro Parma,
Reciprocal Translocations in Cattle: frequency estimation, Journal of animal breeding and genetics.
ISSN 0931-2668. - ISSN 1439-0388. - (2012).
29. Paola Morando e Serena Sammarco, Variational Problems with Symmetries: A Pfaffian System
Approach, Acta Appl Math (2012) DOI 10.1007/s10440-012-9720-4

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