Giuseppe DE NITTIS Facultad de Matemáticas y Instituto de Física
Date of birth: 18/02/1977 P. Universidad Católica de Chile Citizenship: Italian Vicuña Mackenna 4860, Macul Marital status: married Santiago 6904441 Email (personal): [email protected] Chile Email (work): [email protected]Web page: gdenittis.wordpress.com
Current Position
From August 2015 Assistant Professor.
Education
October 2010 Ph.D. in Mathematical Physics, at SISSA, Trieste (Italy). Thesis: Hunting colored (quantum) butterflies: a geometric derivation of the TKNN-equations. Advisors: G. Dell'Antonio (external) and L. Dąbrowski (internal).
January 2006 "Laurea specialistica" (Master's degrees), in Theoretical Physics at Università di Pisa, Pisa (Italy). Grade: 110/110 cum laude. Thesis: Convergence to equilibrium for large systems. Advisor: G. Morchio.
March 2003 "Laurea I livello" (Bachelor), in Physics at Università di Pisa, Pisa (Italy). Grade: 110/110 cum laude. Thesis: Axiomatic formulation of thermodynamcs. Advisor: E. Guadagnini. July 1996 "Maturità Scientifica" (Scientific high school degree), at Liceo Scientifico "E. Fermi",
Montalbano J., (Italy). Grade: 60/60 cum laude. Work Experience
2014-2015 Post-Doc position (wissenschaftliche Mitarbeiter) at Universität Erlangen-Nürnberg, Erlangen, Germany. Researcher activity in the group of Mathematical-Physics.
2012-2014 Post-Doc position at Universität Erlangen-Nürnberg, Erlangen, Germany. Awarded of the research fellowship from the Alexander von Humboldt-Foundation. Researcher in the group of Mathematical-Physics under the supervision of H. Schulz-Baldes.
2011-2012 Post-Doc position at Université de Cergy-Pontoise, AGM, Cergy-Pontoise, France. Researcher in the group of F. Germinet.
2010-2011 Post-Doc position at Université Paris 13, LAGA, Villetaneuse, France. Researcher in the group of F. Klopp.
2006 Professor of mathematics at Istituto Comprensivo (high school) "A. Pacinotti", Pontedera, Italy. Fixed term position of one year. I Left the position after three months (September -November) since I won a PhD. Fellowship.
Teaching experience
2nd Sem. 2016 Undergraduate course: Electricidad y Magnetismo (Electricity and Magnetism). At Pontificia Universidad Católica de Chile.
2nd Sem. 2015 Undergraduate course: Variable Compleja I (Complex variables I). At Pontificia Universidad Católica de Chile.
Winter Semester 2014 Graduate course: Operatoralgebren (Operator Algebras) (4 + 1 cred. h). At Universität Erlangen-Nürnberg.
Winter Semester 2013 Graduate course: Geometric Aspects of Quantum Condensed Matter (2 cred. h). At Universität Erlangen-Nürnberg.
January - March 2010 Teaching Assistant for the graduate courseElements of Non-commutative Geometry at SISSA, sector of Mathematical Physic.
March - June 2010 Teaching Assistant for the undergraduate course Introduction to Quantum Dynamics at SISSA, sector of Mathematical Physics.
2007-2009 Tutorial activity at Department of Physics of Università di Trieste for the undergraduate courses Analysis I and Geometry.
2006-2007 Professor in mathematics at Istituto Comprensivo (high school) "Antonio
Pacinotti", Pontedera, Italy. Fixed term position of one year. Position left after two months since I won the SISSA PhD Fellowship.
Administrative responsibilities
From 2016 Member of the council of the department of Mathematics at Pontificia Universidad Católica de Chile
From 2016 Member of the steering committee for the International Doctorate School of the Physics Institute at Pontificia Universidad Católica de Chile
Organization of seminars and conferences
August 9 - 18 Mini-workshop in Mathematical Physics: "Noncommutative Topics" September 6 - 16 At Pontificia Universidad Católica de Chile
May - June 2012 Organization and coordination of "Happy Hour of Math", a cycle of seminars held during the Hausdorff Trimester Program: "Mathematical challenges of materials science and condensed matter physics".
October 2009 Organization of monthly seminars for the SISSA Mathematical Physics sector. June 2010
Research Interests
Mathematical Aspects of Condensed Matter:
Topological insulators and superconductors (quantum Hall effect, spin Hall effect , transport phenomena, Magnetization, etc.), photonic crystals, adiabatic perturbation theory, geometry of quasicrystals and random operators.
Geometry and Operator Theory:
Publications Publications with peer review process:
[1] G. De Nittis, M. Lein. Applications of Magnetic Psi-DO Techniques to Space-adiabatic
Perturbation Theory. Rev. Math. Phys. 23, 233-260 (2011).
[2] G. De Nittis, M. Lein. Exponentially Localized Wannier Functions in Periodic Zero Flux Magnetic Fields. J. Math. Phys. 52, 112103 (2011).
[3] G. De Nittis, A. Moro. Thermodynamic phase transitions and shock singularities. Proc. R. Soc. A. 468, 701-719 (2012).
[4] G. De Nittis, G. Panati. The Topological Bloch-Floquet Transform and Some Applications. In "Quantum Magnetic Hamiltonians" (Eds. R. Benguria, E. Friedman and M. Măntoiu), Operator Theory: Advances and Applications vol. 224, pg. 67-106. Birkhäuser, 2012.
[5] G. De Nittis, G. Landi. Generalized TKNN equations. Adv. Theor. Math. Phys. 16, 505-547 (2012). [6] G. De Nittis, G. Landi. Topological aspects of generalized Harper operators. In: "The 8th
international conference on progress in Theoretical Physics, Constantine, Algeria" (Eds. N. Mebarki and J.Mimouni). AIP Conf. Proc. 1444 (58), pg. 58-65, 2012.
[7] G. De Nittis. Space-Adiabatic Theory for Random-Landau Hamiltonian: Results and Prospects. In: "Microlocal Methods in Mathematical Physics and Global Analysis" (Eds. D. Grieser, S. Teufel, A. Vasy). Trends in Mathematics, pg. 11-14, Birkhäuser, 2013.
[8] G. De Nittis, M. Lein. Topological Polarization in Graphene-like Systems. J. Phys. A 46, 385011 (2013).
[9] G. De Nittis, M. Lein. The Perturbed Maxwell Operator as Pseudodifferential Operator. Documenta Math. 19, 62-101 (2014).
[10] G. De Nittis, M. Lein. Effective Light Dynamics in Perturbed Photonic Crystals. Accepted for publication in Commun. Math. Phys. 332, 221-260 (2014).
[11] G. De Nittis, P. Lorenzoni, A. Moro. Integrable multi-phase thermodynamic systems and Tsallis’ composition rule. J. Phys.: Conf. Ser. 482, 012009 (2014).
[12] G. De Nittis, K. Gomi. Classification of “Real” Bloch-bundles: Topological Quantum Systems of type AI. J. Geom. Phys. 86, 303-338 (2014).
[13] G. De Nittis, M. Lein. On the role of symmetries in the theory of photonic crystals. Ann. Phys. 350, 568-587 (2014).
[14] G. De Nittis, M. Drabkin, H. Schulz-Baldes. Localization and Chern numbers for weakly disordered BdG operators. Markov Process. Relat. Fields 21, 463-482 (2015).
[15] G. De Nittis, H. Schulz-Baldes. Spectral flows of dilations of Fredholm operators. Canad. Math. Bull. 58, 51-68 (2015).
[16] G. De Nittis, H. Schulz-Baldes. Spectral flows associated to flux tubes. Ann. Henri Poincaré 17, 1-35 (2016).
[17] G. De Nittis, K. Gomi. Classification of "Quaternionic" Bloch-bundles: Topological Quantum Systems of type AII. Commun. Math. Phys. 339, 1-55 (2015).
Books and Monographs:
[19] G. De Nittis. Hunting Colored (Quantum) Butterflies. A Geometric Derivation of TKNN-equations. Scholars' Press, 2013.
ISBN-13: 978-3-639-51958-7
Talks given at international conferences
Title: Topological nature of the Fu-Kane-Mele invariants
-Spectral Theory of Novel Materials. CIRM, Luminy (Marseille), France. April 18-22, 2016.
-Topological Matter, Strings, K-theory and related areas
IGA, University of Adelaide, Australia. September 26-30, 2016. -COMCA 2016 – XXV Congreso de matematicas Capricornio
Universidad Católica del Norte, Antofagasta, Chile. August 2-5, 2016. -Solid Math 2016
Aalborg, Denmark. May 26-28, 2016. Title: The Topology of Chiral Vector Bundles
XVIII International Congress on Mathematical Physics. Santiago, Chile. July 27 - August 01, 2015.
Title: Time-Reversal Symmetric Bloch bundles: topology & differential geometry. Topological Phases of Quantum Matter, ESI, Wien, Austria.
August 04 - September 12, 2014.
Title: Classification of "Real" Bloch-bundles: Topological Insulators of type AI.
2013-14 Warwick EPSRC Symposium on Statistical Mechanics: Many-Body Quantum Systems University of Warwick, U.K.. March 17-21, 2014.
Title: Topological piezo-currents in graphene.
Mathematical Physics of Disordered Systems. FernUniversität in Hagen, Hagen, Germany. May 13-17, 2013.
Title: Generalized TKNN-equations.
Hamiltonians in Magnetic Fields: Mittag-Leffler program. Institut Mittag-Leffler, Djursholm, Sweden. November 6, 2012.
Title: Thermodynamic Phase Transitions and Shock Singularities.
International School/Workshop on Dispersive Shocks. SISSA, Trieste, Italy. March 18-24, 2012. Title: Bloch Theory for Quasicrystals.
Mathematical approach to emerging topics in materials science 2012. Tohoku University, Sendai, Japan. February 18-19, 2012.
Title: Wannier Transform and aperiodic solids.
Problèmes Spectraux en Physique Mathématique. Institut Henri Poincaré. Paris, France. January 16, 2012. Title: Peierls substitution, Hofstadter model, disorder.
3rd St.Petersburg Conference in Spectral Theory. Euler Institute. Saint-Petersburg, Russia.July 1-6, 2011. Title: Space-adiabatic theory for random-Landau Hamiltonian.
Title: TKNN-equations for Dirac-like operators.
Meeting of GDRE GREFI-GENCO. Institut Henri Poincaré. Paris, France. May 30-June 1, 2011. Title: Wannier Transform for Quasicrystals: preliminary results.
Challenges in aperiodic media, Conference honoring Dr. Jean Bellissard’s 65th birthday. Institut Camille Jordan, University of Lyon 1. Lyon, France. February 28-March 2, 2011.
Mini-course in 3 lectures: Models for conductance in presence of a magnetic field. Mathematisches Institut, Universität Tübingen. Tübingen, Germany. January 18-21, 2009.
Title: Inequivalent bundle representations for the Noncommutative Torus. Chern numbers: from “abstract” to “concrete”.
Noncommutative Geometry and Quantum Physics. Vietri sul Mare, Italy.August 31-September 5, 2009. Title : Bloch Electron in a Strong Magnetic Field. Adiabatic Derivation of the Harper Model. Mathematical Methods in Quantum Mechanics III. Bressanone, Italy. February 16-21, 2009.
Abroad research experience
August 15 - September 05, 2014: Invited for the ESI program: "Topological Phases of Quantum Matter". ESI, Wien, Austria.
May 2014: Awarded of a grant for the Research in Pairs Program at Mathematisches Forschungsinstitut Oberwolfach (MFO), Oberwolfach, Germany. Collaboration with M. Lein and M. Seri.
February - March 2014: Invited research assistant at Georgia Institute of Technology, Atlanta (Georgia, U.S.). Collaboration with J. Bellissard.
January - March 2013: Invited research assistant at Universidad Nacional Autónoma de México, Istituto de Matemáticas, Cuernavaca, México. Collaboration with C. Villegas.
November 2-12, 2012: Invited for the Mittag-Leffler program: "Hamiltonians in Magnetic Fields". Institut Mittag-Leffler, Djursholm, Sweden.
May - June 2012: Invited for the Hausdorff Trimester Program: "Mathematical challenges of materials science and condensed matter physics". HRI, Bonn, Germany.
November - December 2010: Invited research assistant at Universidade Estadual de Campinas, Departamento de Matemática Aplicada, Campinas (Brazil). Collaboration with S. De Leo.
April - May 2010: Invited research assistant at Georgia Institute of Technology, Atlanta (Georgia, U.S.). Collaboration with J. Bellissard.
Research funding
Iniciación en Investigación 2015 (Ref.: 11150143) Photonic Crystals: from Dynamics to Topology. Funded by FONDECYT, Chile.
Research in Pairs grant (May 2014)
Systems with compactly supported magnetic fields and their unusual properties from classical to quantum mechanics.
Funded by the MFO, Oberwolfach, Germany. Humboldt Research fellowship 2012-2014 Aperiodic Solids and Topological Insulators.
Young researcher project 2012-2013 Adiabatic Theory for Photonic Crystals.
Funded by the Italian Group of Mathematical Physics (GNFM). Young researcher project 2011-2012
Phase transitions in classical thermodynamics and integrable hierarchies of hydrodynamic type (jointly with A. Moro).
Funded by the Italian Group of Mathematical Physics (GNFM). Young researcher project 2009-2010
Schrödinger Operators with Magnetic Field and Quantum Butterflies (jointly with G. Panati).
Funded by the Italian Group of Mathematical Physics (GNFM). Member of the Italian Priority Project (PRIN) 2008
Spectral analysis and symmetries in quantum mechanics and noncommutative geometry. Leaded by G. Landi and L. Dąbrowski.
Various
Spoken languages Italian: mother tongue English: fluent
Spanish: fluent Franch: fluent
German: medium (level B1.1) Peer-review activity
Referee for: Communications in Mathematical Physics, Annales Henri Poincaré, New Journal of Physics, Mathematical Reviews, Journal of Physics A, Topological Quantum Matter, Journal of Functional Analysis.
Supervision of student activity and thesis review
Supervisor for the "Concurso de Investigación para Pregrado Invierno 2016". Candidate: Sebastián Andés Molina Riveros. Mini-thesis: "Gravedad Cuántica de Bucles"
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.
Reviewer for the master thesis: "Generalized Bloch Theory for Quasicrystals". Candidate: Siegfried Beckus. Advisor: prof. Daniel Lenz. At Friedrich-Schiller Universität Jena, Jena, Germany. (2012)
Scienti fic popularization activity
Collaborator and author of the Magazine di Liberascienza (in Italian). www.liberascienza.it/magazine.html