Luca Vitagliano  

 

I am a Full Professor of Geometry at the Department of Mathematics of the University of Salerno, Italy.

 

I work in Differential Geometry and Mathematical Physics.

 

Address:

Prof. Luca Vitagliano,

Via Giovanni Paolo II, n° 132

84084 Fisciano (SA), Italy

 

Office: University Campus in Fisciano, Building F2, 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

 

 

 

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

 

News!!

 

A Primer on Smooth Manifolds, World Scientific

 

 

 

 

- INdAM Intensive Period on Poisson Geometry and Mathematical Physics

- Poisson 2024 – Summer School and International Conference

 

 

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

 

Geometry at UniSa

 

- Geometry Group at the University of Salerno

 

 

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

 

Research

 

My research interests are towards Differential Geometry with a special emphasis on Poisson Geometry, Lie Algebroids and Groupoids, Differentiable Stacks, 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

 

 

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

 

PhD Students

 

- Antonio Maglio

(2021-2024, University of Salerno)

Thesis Title: Shifted Contact Structures on Differentiable Stacks (defended February 17, 2025).

 

- Pier Paolo La Pastina

(2016-2019, Sapienza - University of Rome)

Thesis Title: 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).

 

 

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

 

Teaching

 

This year (2024/2025) I teach:

 

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

 

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

 

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

 

- Higher Geometry (with Alfonso Tortorella, Master degree in Mathematics: 2^nd year, 2^nd semester).

 

 

 

Lecture Notes:

 

·     Geometry II (in Italian)

·     Elements of Higher Geometry

·     Homology and Cohomology

 

 

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

 

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.

 

 

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

 

 Links

 

- Mathematics

 

         Alexandre Vinogradov

 

 

- Origami

 

Centro Diffusione Origami

Origami Database

Joseph Wu

Robert Lang

Eric Joisel

Satoshi Kamiya