Florio Maria Ciaglia
Max-Planck-Institut für Mathematik in den Naturwissenschaften
Inselstr. 22
04103 Leipzig
Germany

Office: A3 08

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+49 341 9959 532

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+49 341 9959 658

Florio Maria Ciaglia

Research interests

"The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve”.

This is how Wigner puts it, and I completely agree with him.

Since I do like this gift very much, the only thing I can do is keep trying to understand it better. This, I think, is easier than proving to deserve it. Of course, everyone has his preferences, so I mainly focus on the (differential) geometrical side of the gift, that is, the side that does not depend on the coordinate system we use to play with it.

Being born as a theoretical physicist, I usually start at the “Physics Playground” when I want to play with my part of the gift. Usually, the first stop would be at the “Panoramic Quantum Wheel”, which, I have to admit, is always as beautiful as the first day. Every time I am amazed to discover how much geometry lies hidden inside the algebraic envelope of quantum theories. It is always like a revelation to me.

---------------MORE TO COME---------------

This led me to realize that, if you look carefully, geometry is everywhere. I dare to say that geometry is more like a life-attitude than a branch of mathematics.

Personal homepage

Curriculum vitae

Born and raised in Napoli where I grew up eating pizza and wondering about abstractness.

I did my BSc, MSc, and PhD at the Università degli Studi di Napoli Federico II.

Publications

Publications

Chruscinski, Dariusz ; Ciaglia, Florio M. ; Ibort, Alberto ; Marmo, Giuseppe and Ventriglia, Franco: Stratified manifold of quantum states, actions of the complex special linear group
In: Annals of physics, 400 (2019), p. 221-245
Bibtex DOI: 10.1016/j.aop.2018.11.015 ARXIV: https://arxiv.org/abs/1811.07406

Ciaglia, Florio M. ; Ibort, Alberto and Marmo, Giuseppe: Differential geometry of quantum states, observables and evolution
In: Quantum physics and geometry / EdoardoBallico... (eds.)
Cham : Springer, 2019. - P. 153-172
(Lecture notes of the Unione Matematica Italiana ; 25)
Bibtex DOI: 10.1007/978-3-030-06122-7_7 ARXIV: http://de.arxiv.org/abs/1903.10465

Ciaglia, Florio M. ; Cruz, Hans and Marmo, Giuseppe: Contact manifolds and dissipation, classical and quantum
In: Annals of physics, 398 (2018), p. 159-179
Bibtex DOI: 10.1016/j.aop.2018.09.012 ARXIV: https://arxiv.org/abs/1808.06822

Ciaglia, Florio M. ; Di Cosmo, Fabio ; Felice, Domenico ; Mancini, Stefano ; Marmo, Giuseppe and Pérez-Pardo, Juan M.: Aspects of geodesical motion with Fisher-Rao metric : classical and quantum
In: Open systems and information dynamics, 25 (2018) 1, 1850005
Bibtex DOI: 10.1142/S1230161218500051 ARXIV: https://arxiv.org/abs/1608.06105

Ciaglia, Florio M. ; Di Cosmo, Fabio ; Laudato, Marco ; Marmo, Giuseppe ; Mele, Fabio M. ; Ventriglia, Franco and Vitale, Patrizia: A pedagogical intrinsic approach to relative entropies as potential functions of quantum metrics: the q-z family
In: Annals of physics, 395 (2018), p. 238-274
Bibtex DOI: 10.1016/j.aop.2018.05.015 ARXIV: http://de.arxiv.org/abs/1711.09769

Ciaglia, Florio M. ; Ibort, Alberto and Marmo, Giuseppe: A gentle introduction to Schwinger's formulation of quantum mechanics : the groupoid picture
In: Modern physics letters / A, 33 (2018) 20, 1850122
Bibtex DOI: 10.1142/S0217732318501225 ARXIV: http://de.arxiv.org/abs/1807.00519

Ciaglia, Florio M. ; Marmo, Giuseppe and Pérez-Pardo, Juan M.: Generalised potential functions in differential geometry and information geometry
In: International journal of geometric methods in modern physics, Vol. not yet known, pp. not yet known
Bibtex DOI: 10.1142/S0219887819400024 ARXIV: http://de.arxiv.org/abs/1804.10414

Asorey, Manuel ; Ciaglia, Florio M. ; Di Cosmo, Fabio and Ibort, Alberto: Covariant brackets for particles and fields
In: Modern physics letters / A, 32 (2017) 19, 1750100
Bibtex DOI: 10.1142/S0217732317501000 ARXIV: https://arxiv.org/abs/1705.00235

Asorey, Manuel ; Ciaglia, Florio M. ; Di Cosmo, Fabio and Ibort, Alberto: Erratum: 'Covariant brackets for particles and fields' [Mod. Phys. Lett. A. 32, 1750100 (2017)]
In: Modern physics letters / A, 32 (2017) 22, 1792002
Bibtex DOI: 10.1142/S021773231792002X ARXIV: https://arxiv.org/abs/1705.00235

Asorey, Manuel ; Ciaglia, Florio M. ; Di Cosmo, Fabio ; Ibort, Alberto and Marmo, Giuseppe: Covariant Jacobi brackets for test particles
In: Modern physics letters / A, 32 (2017) 23, 1750122
Bibtex DOI: 10.1142/S021773231750122X ARXIV: https://arxiv.org/abs/1706.02865

Ciaglia, Florio M. ; Di Cosmo, Fabio ; Felice, Domenico ; Mancini, Stefano ; Marmo, Giuseppe and Pérez-Pardo, Juan M.: Hamilton-Jacobi approach to potential functions in information geometry
In: Journal of mathematical physics, 58 (2017) 6, 063506
Bibtex DOI: 10.1063/1.4984941 ARXIV: https://arxiv.org/abs/1608.06584

Ciaglia, Florio M. ; Di Cosmo, Fabio ; Ibort, Alberto ; Laudato, Marco and Marmo, Giuseppe: Dynamical vector fields on the manifold of quantum states
In: Open systems and information dynamics, 24 (2017) 3, 1740003
Bibtex DOI: 10.1142/S1230161217400030 ARXIV: https://arxiv.org/abs/1707.00293

Ciaglia, Florio M. ; Di Cosmo, Fabio ; Ibort, Alberto and Marmo, Giuseppe: Dynamical aspects in the quantizer-dequantizer formalism
In: Annals of physics, 385 (2017), p. 769-781
Bibtex DOI: 10.1016/j.aop.2017.08.025 ARXIV: https://arxiv.org/abs/1708.02774

Ciaglia, Florio M. ; Di Cosmo, Fabio ; Laudato, Marco and Marmo, Giuseppe: Differential calculus on manifolds with boundary applications
In: International journal of geometric methods in modern physics, 14 (2017) 8, 1740003
Bibtex DOI: 10.1142/S0219887817400035 ARXIV: https://arxiv.org/abs/1705.02974

Ciaglia, Florio M. ; Di Cosmo, Fabio and Marmo, Giuseppe: Hamilton-Jacobi theory and information geometry
In: Geometric science of information : Third International Conference, GSI 2017, Paris, France, November 7-9, 2017, proceedings / FrankNielsen... (eds.)
Cham : Springer, 2017. - P. 495-502
(Lecture notes in computer science ; 10589)
Bibtex DOI: 10.1007/978-3-319-68445-1_58 ARXIV: https://arxiv.org/abs/1711.01129

Ciaglia, Florio M. ; Ibort, Alberto and Marmo, Giuseppe: Geometrical structures for classical and quantum probability spaces
In: International journal of quantum information, 15 (2017) 8, 1740007
Bibtex DOI: 10.1142/S021974991740007X ARXIV: https://arxiv.org/abs/1711.09774

Aniello, Paolo ; Ciaglia, Florio M. ; Di Cosmo, Fabio ; Marmo, Giuseppe and Pérez-Pardo, Juan M.: Time, classical and quantum
In: Annals of physics, 373 (2016), p. 532-543
Bibtex DOI: 10.1016/j.aop.2016.08.001 ARXIV: https://arxiv.org/abs/1605.03534
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