Luca Vitagliano  

 

I am an Associate Professor of Geometry at the Department of Mathematics of the University of Salerno, Italy. In 2018 I got the Italian National Scientific Habilitation (ASN) to Full Professor, Area 01/A2 (Algebra and Geometry).

 

I work on Differential Geometry and Mathematical Physics.

 

Address:

Dr. Luca Vitagliano,

Via Giovanni Paolo II, n 123

84084 Fisciano (SA), Italy

 

Office: Campus di Fisciano, Invariante 12B, First Floor, Room n 035

 

e-mail: lvitagliano@unisa.it

phone: +39 089 96 33 31

fax: +39 089 96 33 03

 

official web page: http://docenti.unisa.it/luca.vitagliano

 

 

 

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News!!

 

No news at the moment!

 

 

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Geometry at UniSa

 

- Differential Geometry Group at the University of Salerno

 

 

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Research

 

My research interests include Differential Geometry, Geometric Methods in Mathematical Physics, Geometric Methods for PDEs, Differential Calculus over Commutative Algebras, Homological Methods in Geometry and Physics, Secondary Calculus.

 

- My Curriculum Vitae

- My Research papers

- Selected Talks and Lecture Notes

 

 

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PhD Students

 

- Antonio Maglio

(2021-present, University di Salerno)

Research Topic: Contact Structures on Differentiable Stacks.

 

- Gabriele Perna

(2020-present, University of Napoli “Federico II”)

Research Topic: Deformations of Complex Groupoids.

 

- Pier Paolo La Pastina

(2016-2019, Sapienza - University of Rome)

Research Topic: Deformations of Vector Bundles in the Category of Lie Groupoids (defended February 11, 2020).

 

- Jonas Schnitzer

         (2016-2019, University of Salerno)

         Thesis Title: Local and Global Properties of Jacobi related Geometries (defended December 18, 2019).

 

- Alfonso Tortorella

         (2013-2016, University of Florence)

         Thesis Title: Deformations of Coisotropic Submanifolds in Jacobi Manifolds (defended March 10, 2017).

 

 

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Teaching

 

This year (2021/2022) I teach:

 

- Geometry II (undergraduate degree in Mathematics: 1st year, 2nd semester, odd badge number),

co-teaching with Chiara Esposito.

 

- Homology and Cohomology (undergraduate degree in Mathematics: 3rd year, 1st semester, free choice course).

 

- Elements of Higher Geometry (Master degree in Mathematics: 1st year, 1st semester).

 

- Mathematics II (undergraduate degree in Electronic Engeneering: 1st year, 2nd semester), co-teaching with Cristian Tacelli (reference person).

 

- Homological Methods in Differential Geometry (PhD in Mathematics, Physics and Applications).

 

 

Lecture Notes:

 

·     Geometry II (in Italian)

·     Elements of Higher Geometry

·     Homology and Cohomology

 

 

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Theses

 

Interested students may write a thesis with me on Linear Algebra, Homological Algebra, Algebraic Topology, Calculus and Commutative Algebra, Differential Geometry, Differential Geometric Methods in Theoretical Mechanics, Differential Geometric Methods for PDEs.

 

 

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 Links

 

- Mathematics

 

         Diffiety School

         Alexandre Vinogradov

 

 

- Origami

 

Centro Diffusione Origami

Origami Database

Joseph Wu

Robert Lang

Eric Joisel

Satoshi Kamiya