Giuseppe DE NITTIS. (personal): (work): Web page: gdenittis.wordpress.
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1 Giuseppe DE NITTIS Department Mathematik Date of birth: 18/02/1977 Universität Erlangen-Nurnberg Citizenship: Italian Cauerstrasse 11 Marital status: married D Erlangen (personal): Germany (work): Web page: gdenittis.wordpress.com Current Position Post-Doc position (wissenschaftliche Mitarbeiter) at Universität Erlangen-Nurnberg, Erlangen, Germany. September 2014-September Researcher activity in the group of Mathematical-Physics. Education October 2010 January 2006 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). "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 Post-Doc position at Universität Erlangen-Nurnberg, 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 Post-Doc position at Université de Cergy-Pontoise, AGM, Cergy-Pontoise, France. Researcher in the group of F. Germinet Post-Doc position at Université Paris 13, LAGA, Villetaneuse, France. Researcher in the group of F. Klopp 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 Winter Semester 2014 Graduate course: Operatoralgebren (Operator Algebras) (4 + 1 cred. h). At Universität Erlangen-Nurnberg. Winter Semester 2013 Graduate course: Geometric Aspects of Quantum Condensed Matter (2 cred. h). At Universität Erlangen-Nurnberg. January - March 2010 Teaching Assistant for the graduate course Elements of Non-commutative Geometry at SISSA, sector of Mathematical Physic.
2 March - June 2010 Teaching Assistant for the undergraduate course Introduction to Quantum Dynamics at SISSA, sector of Mathematical Physics Tutorial activity at Department of Physics of Università di Trieste for the undergraduate courses Analysis I and Geometry 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. Organization of seminars and conferences May - June 2012 October 2009 June 2010 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". Organization of monthly seminars for the SISSA Mathematical Physics sector. 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: Vector bundles and K-theory, Non-commutative geometry and crossed products of C*- algebras, deformation quantization and (twisted) Weyl quantization. Publications with peer review process: Publications [1] G. De Nittis, M. Lein. Applications of Magnetic Psi-DO Techniques to Space-adiabatic Perturbation Theory. Rev. Math. Phys. 23, (2011). [2] G. De Nittis, M. Lein. Exponentially Localized Wannier Functions in Periodic Zero Flux Magnetic Fields. J. Math. Phys. 52, (2011). [3] G. De Nittis, A. Moro. Thermodynamic phase transitions and shock singularities. Proc. R. Soc. A. 468, (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 Birkhäuser, [5] G. De Nittis, G. Landi. Generalized TKNN equations. Adv. Theor. Math. Phys. 16, (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 (58), pg , [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 , Birkhäuser, 2013.
3 [8] G. De Nittis, M. Lein. Topological Polarization in Graphene-like Systems. J. Phys. A 46, (2013). [9] G. De Nittis, M. Lein. The Perturbed Maxwell Operator as Pseudodifferential Operator. Documenta Math. 19, (2014). [10] G. De Nittis, M. Lein. Effective Light Dynamics in Perturbed Photonic Crystals. Accepted for publication in Comm. Math. Phys. 332, (2014). [11] G. De Nittis, P. Lorenzoni, A. Moro. Integrable multi-phase thermodynamic systems and Tsallis composition rule. J. Phys.: Conf. Ser. 482, (2014). [12] G. De Nittis, M. Drabkin, H. Schulz-Baldes. Localization and Chern numbers for weakly disordered BdG operators. Accepted for publication in Markov Process. Relat. Fields, (2014). arxiv: [13] G. De Nittis, K. Gomi. Classification of Real Bloch-bundles: Topological Quantum Systems of type AI. J. Geom. Phys. 86, (2014). [14] G. De Nittis, M. Lein. On the role of symmetries in the theory of photonic crystals. Ann. Phys. 350, (2014). [15] G. De Nittis, H. Schulz-Baldes. Spectral flows of dilations of Fredholm operators. Accepted for publication in Canad. Math. Bull., (2014). ArXiv: E-print (submitted publications with peer review proccess): [16] G. De Nittis, H. Schulz-Baldes. Spectral flows associated to flux tubex. ArXiv: (May 2014). [17] G. De Nittis, K. Gomi. Classification of "Quaternionic" Bloch-bundles: Topological Insulators of type AII. arxiv: (April 2014). [18] G. De Nittis, G. Panati. Effective models for conductance in magnetic felds: derivation of Harper and Hofstadter models. arxiv: (July 2010). Books and Monographs: [19] G. De Nittis. Hunting Colored (Quantum) Butterflies. A Geometric Derivation of TKNN-equations. Scholars' Press, ISBN-13: Talks given at international conferences Title: Time-Reversal Symmetric Bloch bundles: topology & differential geometry. Topological Phases of Quantum Matter, ESI, Wien, Austria. August 04 - September 12, Title: Classification of "Real" Bloch-bundles: Topological Insulators of type AI Warwick EPSRC Symposium on Statistical Mechanics: Many-Body Quantum Systems University of Warwick, U.K.. March 17-21, Title: Topological piezo-currents in graphene. Mathematical Physics of Disordered Systems. FernUniversität in Hagen, Hagen, Germany. May 13-17, 2013.
4 Title: Generalized TKNN-equations. Hamiltonians in Magnetic Fields: Mittag-Leffler program. Institut Mittag-Leffler, Djursholm, Sweden. November 6, Title: Thermodynamic Phase Transitions and Shock Singularities. International School/Workshop on Dispersive Shocks. SISSA, Trieste, Italy. March 18-24, Title: Bloch Theory for Quasicrystals. Mathematical approach to emerging topics in materials science Tohoku University, Sendai, Japan. February 18-19, Title: Wannier Transform and aperiodic solids. Problèmes Spectraux en Physique Mathématique. Institut Henri Poincaré. Paris, France. January 16, Title: Peierls substitution, Hofstadter model, disorder. 3rd St.Petersburg Conference in Spectral Theory. Euler Institute. Saint-Petersburg, Russia. July 1-6, Title: Space-adiabatic theory for random-landau Hamiltonian. Microlocal Methods in Mathematical Physics and Global Analysis. Universität Tubingen. Tubingen, Germany. June 14-18, Title: TKNN-equations for Dirac-like operators. Meeting of GDRE GREFI-GENCO. Institut Henri Poincaré. Paris, France. May 30-June 1, 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, Mini-course in 3 lectures: Models for conductance in presence of a magnetic field. Mathematisches Institut, Universität Tubingen. Tubingen, Germany. January 18-21, 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, 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, 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.
5 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 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 Aperiodic Solids and Topological Insulators. Funded by the Alexander von Humboldt Foundation. Young researcher project Adiabatic Theory for Photonic Crystals. Young researcher project Phase transitions in classical thermodynamics and integrable hierarchies of hydrodynamic type (jointly with A. Moro). Young researcher project Schrödinger Operators with Magnetic Field and Quantum Butterflies (jointly with G. Panati). 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. Spoken languages Italian: mother tongue English: fluent Franch: fluent German: medium (level B1.1) Spanish: beginner Various 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. Supervision of student activity and thesis review 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) Scientific popularization activity Collaborator and author of the Magazine di Liberascienza (in Italian). Updated on 01/10/2014
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