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Giuseppe De Nittis

Asociated Professor

Pontificia Universidad Católica de Chile

Santiago, Chile

Líneas de Investigación


Topological effects in quantum mechanics and classical waves; Spectral theory; Non-commutative Geometry

Educación

  •  PhD in Mathematical Physics, SISSA, International School for Advanced Studies. Italia, 2010
  •  Theoretical Physics, UNIVERSITÀ DI PISA. Italia, 2006
  •  Physics, UNIVERSITÀ DI PISA. Italia, 2003

Experiencia Académica

  •   Advanced Postdoctoral Researcher Part Time

    FRIEDRICH-ALEXANDER-UNIVERSITÄT ERLANGEN-NÜRNBERG

    2012 - 2015

  •   Exercise classes Part Time

    SISSA, Trieste

    2009 - 2010

  •   Tutorial activity Part Time

    UNIVERSITA DEGLI STUDI DI TRIESTE

    2006 - 2008

Experiencia Profesional

  •   Post-Doc position (wissenschaftliche Mitarbeiter) Full Time

    Universität Erlangen-Nürnberg

    Erlangen, Alemania

    2014 - 2015

  •   Post-Doc position (Humboldt fellow) Full Time

    Universität Erlangen-Nürnberg

    Erlangen, Alemania

    2012 - 2014

  •   Post-Doc position Full Time

    Université de Cergy-Pontoise

    Paris, Francia

    2011 - 2012

  •   Post-Doc position Full Time

    Université Paris 13

    Paris, Francia

    2010 - 2011

  •   Assistant Professor Full Time

    Pontificia Universidad Católica de Chile

    Santiago, Chile

    2015 - 2018

  •   Asociated Professor Full Time

    Pontificia Universidad Católica de Chile

    Santiago, Chile

    2018 - A la fecha

Formación de Capital Humano


- Supervision of student activity and thesis review

Fall 2016
Supervisor for the “Concurso de Investigación para Pregrado Invierno 2016”.
Mini-thesis: Gravedad Cuántica de Bucles.
Candidate: Sebastián Andés Molina Riveros, Pontificia Universidad Católica de Chile.

September 2015
Supervisor (external):
Thesis: Spectral and dynamical properties of Maxwell-like operators.
Candidate: Massimo Moscolari.
Advisor: prof.ssa Annalisa Marzuoli, Università degli Studi di Pavia, Italy.

March 2012
Reviewer for the master thesis: Generalized Bloch Theory for Quasicrystals.
Candidate: Siegfried Beckus.
Advisor: prof. Daniel Lenz, Friedrich-Schiller Universität Jena, Jena, Germany.

- Teaching activity

1st Semester (Mar.-Jun.) 2017
Postgraduate course: Estructuras Matemáticas en Mecánica Cuántica.
At Pontificia Universidad Católica de Chile.

2st Semester (Aug.-Nov.) 2016
Graduate course: Electricidad y Magnetismo.
At Pontificia Universidad Católica de Chile.

1st Semester (Mar.-Jun.) 2016
Postgraduate course: Mecánica Cuántica Avanzada.
At Pontificia Universidad Católica de Chile.

2nd Semester (Aug.-Nov.) 2015
Undergraduate course: Variable Compleja I.
At Pontificia Universidad Católica de Chile.

Winter Semester 2014
Graduate course: Operator Algebras.
At Universität Erlangen-Nürnberg.

Winter Semester 2013
Graduate course: Geometric Aspects of Quantum Condensed Matter. At Universität Erlangen-Nürnberg.

- Organization of seminars and conferences

2017
Top Math-?: Workshop on “Hot Topics” in Mathematical Physics. At Pontificia Universidad Católica de Chile, April 24–27 & May 2–5, 2017.

2016
First Joint Meeting “SUMA 2016”. Organizer of the special section “Spectral theory and geometric methods”. At Universidad Técnica Federico Santa María, Valparaíso, Chile. December 14-17, 2016.

2016
Mini-workshop in Mathematical Physics: Noncommutative Topics at Pontificia Universidad Católica de Chile.
August 9-18 & September 6-16, 2016.



 

Article (25)

On the K -theoretic classification of dynamically stable systems
Symmetry Classification of Topological Photonic Crystals
Chiral vector bundles
Spectral Continuity for Aperiodic Quantum Systems I. General Theory.
The cohomological nature of the Fu-Kane–Mele invariant
The FKMM-invariant in low dimension
The non-commutative topology of two-dimensional dirty superconductors
The Schrödinger Formalism of Electromagnetism and Other Classical Waves: How to Make Quantum-Wave Analogies Rigorous.
Derivation of Ray Optics Equations in Photonic Crystals via a Semiclassical Limit
Differential geometric invariants for time-reversal symmetric Bloch-bundles: The "Real" case
Spectral Flows Associated to Flux Tubes
Classification of “Quaternionic" Bloch-Bundles
Localization and Chern Numbers for Weakly Disordered BdG Operators
Spectral Flows of Dilations of Fredholm Operators
Classification of “Real” Bloch-bundles
Effective Light Dynamics in Perturbed Photonic Crystals
Integrable multi-phase thermodynamic systems and Tsallis' composition rule
On the role of symmetries in the theory of photonic crystals
The Perturbed Maxwell Operator as Pseudodifferential Operator
Topological polarization in graphene-like systems
Generalized TKNN-equations
Thermodynamic phase transitions and shock singularities
Topological aspects of generalized Harper operators
Applications of Magnetic Psi-DO Techniques to Space-adiabatic Perturbation Theory.
Exponentially localized Wannier functions in periodic zero flux magnetic fields

BookSection (2)

Space–Adiabatic Theory for Random-Landau Hamiltonian: Results and Prospects
The Topological Bloch-Floquet Transform and Some Applications

BookWhole (2)

Linear Response Theory
Hunting Colored (Quantum) Butterflies

Proyecto (3)

Aperiodic Solids and Topological Insulators
MATHEMATICAL CHALLENGES FOR NEW MATERIALS
PHOTONIC CRYSTALS: FROM DYNAMICS TO TOPOLOGY
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Giuseppe De Nittis

Asociated Professor

Matemática

Pontificia Universidad Católica de Chile

Santiago, Chile