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Identification

Personal identification

Full name
Alfonso Giuseppe Tortorella

Author identifiers

Ciência ID
711E-AF98-9CBF
Education
Degree Classification
2017/03/10
Concluded
Dottorato in Matematica, Informatica, Statistica - Indirizzo in Matematica (Dottorato di Ricerca)
Università degli Studi di Firenze, Italy
"Deformations of Coisotropic Submanifolds in Jacobi Manifolds" (THESIS/DISSERTATION)
cum laude
2013/05/27
Concluded
Laurea in Matematica - Percorso Indirizzo Generale (Laurea)
Università degli Studi di Salerno, Italy
"Sui Metodi Geometrici della Meccanica Hamiltoniana" (THESIS/DISSERTATION)
cum laude
Affiliation

Others

Category
Host institution
Employer
2022/10/31 - Current Tenure Track Assistant Professor Università degli Studi di Salerno Dipartimento di Matematica, Italy
Università degli Studi di Salerno, Italy
2022/10/01 - 2022/10/31 FCT Junior Researcher Universidade de Coimbra Centro de Matemática, Portugal
Universidade de Coimbra Departamento de Matemática, Portugal
2021/10/01 - 2022/09/30 Investigador (Assistant Researcher) Universidade do Porto Centro de Matemática, Portugal
Universidade do Porto Departamento de Matemática Pura, Portugal
2018/10/01 - 2021/09/30 FWO postdoctoral fellow Fonds Wetenschappelijk Onderzoek Vlaanderen, Belgium
Katholieke Universiteit Leuven Departement Wiskunde, Belgium
2018/03/01 - 2018/09/30 postdoctoral researcher Katholieke Universiteit Leuven Departement Wiskunde, Belgium
2017/09/01 - 2017/12/31 Postdoctoral researcher Universidade de Coimbra Centro de Matemática, Portugal
2013/11/29 - 2016/11/29 INdAM PhD student Università degli Studi di Firenze, Italy
2015/02/15 - 2015/06/15 Warsaw Center of Mathematics and Computer Science (WCMSC) PhD INTERNSHIP Instytut Matematyczny Polskiej Akademii Nauk, Poland
Projects

Contract

Designation Funders
2018/10/01 - 2021/09/30 From Poisson geometry to Jacobi geometry and beyond
Post-doc Fellow
Katholieke Universiteit Leuven Departement Wiskunde, Belgium
Fonds Wetenschappelijk Onderzoek Vlaanderen
Concluded
Outputs

Publications

Journal article
  1. Schnitzer, J.; Tortorella, A.G.. "Weak dual pairs in Dirac-Jacobi geometry". Communications in Contemporary Mathematics 25 8 (2023): http://www.scopus.com/inward/record.url?eid=2-s2.0-85166224641&partnerID=MN8TOARS.
    10.1142/S0219199722500353
  2. Tortorella, A.G.. "The deformation L8 algebra of a Dirac–Jacobi structure". Differential Geometry and its Application 80 (2022): http://www.scopus.com/inward/record.url?eid=2-s2.0-85122639165&partnerID=MN8TOARS.
    10.1016/j.difgeo.2021.101846
  3. Geudens, S.; Tortorella, A.G.; Zambon, M.. "Deformations of symplectic foliations". Advances in Mathematics 404 (2022): http://www.scopus.com/inward/record.url?eid=2-s2.0-85129711998&partnerID=MN8TOARS.
    10.1016/j.aim.2022.108445
  4. Blaga, Adara Monica; Salazar, Maria Amelia; Tortorella, Alfonso Giuseppe; Vizman, Cornelia. "Contact Dual Pairs". International Mathematics Research Notices 2020 22 (2020): 8818-8877. http://dx.doi.org/10.1093/imrn/rnz186.
    Published • 10.1093/imrn/rnz186
  5. Tortorella, Alfonso Giuseppe; Vitagliano, Luca; Yudilevich, Ori. "Homogeneous G-structures". Annali di Matematica Pura ed Applicata (1923 -) 199 6 (2020): 2357-2380. http://dx.doi.org/10.1007/s10231-020-00972-9.
    Published • 10.1007/s10231-020-00972-9
  6. Esposito, Chiara; Vitagliano, Luca; Tortorella, Alfonso Giuseppe. "Infinitesimal Automorphisms of VB-Groupoids and Algebroids". The Quarterly Journal of Mathematics 70 3 (2019): 1039-1089. http://dx.doi.org/10.1093/qmath/haz007.
    Published • 10.1093/qmath/haz007
  7. V¿n Lê, H.; Oh, Y.-G.; Tortorella, A.G.; Vitagliano, L.. "Deformations of coisotropic submanifolds in jacobi manifolds". Journal of Symplectic Geometry 16 4 (2018): 1051-1116. http://www.scopus.com/inward/record.url?eid=2-s2.0-85050486512&partnerID=MN8TOARS.
    10.4310/jsg.2018.v16.n4.a7
  8. Hông Vân Lê; Alfonso G. Tortorella; Luca Vitagliano. "Jacobi bundles and the BFV-complex". Journal of Geometry and Physics 121 (2017): 347-377. https://doi.org/10.1016%2Fj.geomphys.2017.07.025.
    10.1016/j.geomphys.2017.07.025
  9. Tortorella, A.G.. "Rigidity of integral coisotropic submanifolds of contact manifolds". Letters in Mathematical Physics (2017): 1-14. http://www.scopus.com/inward/record.url?eid=2-s2.0-85029578165&partnerID=MN8TOARS.
    10.1007/s11005-017-1005-4
  10. Bruce, A.J.; Tortorella, A.G.. "Kirillov structures up to homotopy". Differential Geometry and its Application 48 (2016): 72-86. http://www.scopus.com/inward/record.url?eid=2-s2.0-84976416947&partnerID=MN8TOARS.
    10.1016/j.difgeo.2016.06.005
Thesis / Dissertation
  1. Tortorella, Alfonso. "Deformation of Coisotropic Submanifolds in Jacobi Manifolds". PhD, Università degli Studi di Firenze, 2017. https://flore.unifi.it/handle/2158/1077777.
Activities

Oral presentation

Presentation title Event name
Host (Event location)
2024/01/31 A Rigidity Result for Coisotropic Submanifolds in Contact Geometry. Mini-workshop on Manifolds, (C*-)Algebras and Quantization
Department of Mathematics and Applications "Renato Caccioppoli", University of Napoli Federico II (Napoli, Italy)
2023/05/04 Deformations of symplectic foliations via Dirac geometry and L-infinity algebras. Global Poisson webinar
2023/03/01 Homogeneous G-Structures. Seminar Geometric Methods in Physics,
Physics Department, University of Warsaw (Warsaw, Poland)
2022/11/22 Deformations of Symplectic Foliations Lie Theory and Poisson Geometry, hybrid conference, CIRM, Luminy, France
(Luminy, France)
2022/06/09 Deformations of symplectic foliations via Dirac geometry and L8 algebras. Noncommutative Geometry and Higher Structures
(Scalea, Italy)
2022/02/16 Deformations of symplectic foliations via Dirac geometry and L8 algebras CMUC Geometry Seminar, University of Coimbra
(Coimbra, Portugal)
2021/09/10 Deformations of Symplectic Foliations XXIX International Fall Workshop on Geometry and Physics
2021/06/01 Deformations of Symplectic Foliations II Good morning SFARS, Goettingen-Potsdam online meeting
2021/05/17 Deformations of Symplectic Foliations I Good morning SFARS, Goettingen-Potsdam online meeting
2021/01/06 Deformations of Symplectic Foliations Cohomology in algebra, geometry, physics and statistics
Institute of Mathematics of the Czech Academy of Sciences (Prague, Czech Republic)
2020/02/25 Dual Pairs in Dirac-Jacobi Geometry Utrecht Geometry Center
Mathematics Department, Utrecht University (Utrecht)
2019/12/10 Contact Dual Pairs International Conference on Poisson Geometry
IMPA - Instituto de Matemática Pura e Aplicada (Rio de Janeiro, Brazil)
2019/10/31 Homogeneous G-Structures Workshop on Contact and Poisson Geometry, Timisoara,
West University of Timisoara (Timisoara, Romania)
2019/04/15 Contact Dual Pairs Bayrischzell Workshop 2019: Quantum structure of space-time: Generalized geometry and symmetries
(Bayrischzell, Germany)
2019/02/04 Contact Dual Pairs Junior GESTA, Congreso Bienal de la RSME
Real Sociedad Matematica Espanola – RSME (Santander, Spain)
2019/01/08 Dual Pairs in Jacobi Geometry Geometry Seminar
Department of Mathematics, University of Salerno (Salerno, Italy)
2018/12/13 Deformations of Coisotropic Submanifolds in Jacobi Manifolds Poisson aan de Waal
Radboud University Nijmegen (Nijmegen, Netherlands)
2018/09/06 Contact Dual Pairs XXVII International Fall Workshop on Geometry and Physics
Instituto de Matematicas de la Universidad de Sevilla (Seville, Spain)
2018/06/27 Infinitesimal Automorphisms of VB Groupoids and Algebroids Geometry Seminar
Centro de Matematica da Universidade de Coimbra (CMUC) (Coimbra, Portugal)
2018/01/25 On the geometry of Jacobi bundles and coisotropic submanifolds Geometry Seminar
Department of Mathematics, West University of Timisoara (Timisoara, Romania)
2017/08/27 Infinitesimal Automorphisms of VB Groupoids and Algebroids Conference Pure and Applied Differential Geometry PADGE
Mathematics Department, KU Leuven (Leuven, Belgium)
2017/07/10 An introduction to VB-algebroids and VB-groupoids Geometry Seminar
Department of Mathematics, University of Salerno (Salerno, Italy)
2016/07/27 Higher homotopy versions of Jacobi structures Workshop on Noncommutative Geometry and Higher Structures
Mathematics Department, University of Perugia (Perugia, Italy)
2016/07/14 Rigidity of integral coisotropic submanifolds of contact manifolds Conference Differential Geometry and its Applications (DGA) 2016
Department of Mathematics and Statistics, Masaryk University (Brno, Czech Republic)
2016/06/03 Deformations of coisotropic submanifolds in abstract Jacobi manifolds Deformation Quantization seminar
Chair of Mathematical Physics, Wurzburg University (Wurzburg, Germany)
2015/07/02 Deformations of coisotropic submanifolds in abstract Jacobi manifolds XXXIV Workshop on Geometric Methods in Physics
University of Bialystok (Bialowieza, Poland)
2015/05/25 The BFV-complex and the deformation problem of a coisotropic submanifold. Seminarium Geometrical Methods in Physics
IMPAN - Institute of Mathematics of the Polish Academy of Science (Warsaw, Poland)

Supervision

Thesis Title
Role
Degree Subject (Type)
Institution / Organization
2023/12/15 - Current Contact and Jacobi geometry on b-manifolds
Co-supervisor
Programa Doutoral em Matemática - Interuniversitário (PhD)
Universidade do Porto Faculdade de Ciências, Portugal
2021/10 - Current Contact Structures on Differentiable Stacks
Co-supervisor
mathematics (PhD)
Università degli Studi di Salerno Dipartimento di Matematica, Italy
2023/09 - 2023/10 Coomologia delle algebre di Lie
Co-supervisor
mathematics (Degree)
Università degli Studi di Salerno Dipartimento di Matematica, Italy
2023/01 - 2023/07/19 On the Local Structure of Poisson Manifolds
Supervisor
mathematics (Master)
Universidade do Porto Departamento de Matemática Pura, Portugal
2019/09 - 2019/12 Deformation Theory of Lie Algebras
Supervisor
Mathematics (Scientific initiation)
Katholieke Universiteit Leuven Departement Wiskunde, Belgium
2019/09 - 2019/12 Deformation Theory of Lie Algebras
Supervisor
Mathematics (Scientific initiation)
Katholieke Universiteit Leuven Departement Wiskunde, Belgium
2019/09 - 2019/12 Deformation Theory of Associative Algebras
Supervisor
Mathematics (Scientific initiation)
Katholieke Universiteit Leuven Departement Wiskunde, Belgium
2019/09 - 2019/12 Deformation Theory of Associative Algebras
Supervisor
Mathematics (Scientific initiation)
Katholieke Universiteit Leuven Departement Wiskunde, Belgium

Event organisation

Event name
Type of event (Role)
Institution / Organization
2022 - Current member of the organizing committee of the Poisson 2024 school and conference (2024/07/01 - 2024/07/12)
Conference (Member of the Organising Committee)
2022 - Current member of the organizing committee of the INdAM Intensive Period "Poisson Geometry and Mathematical Physics" (2024/05/13 - 2024/07/12)
Other (Member of the Organising Committee)

Event participation

Activity description
Type of event
Event name
Institution / Organization
2020/07/10 - Current Friday Fish seminar, weekly online seminar, 10 July 2020-today.
Seminar
Friday Fish seminar
Universiteit Utrecht Departement Wiskunde, Netherlands
2020/04/09 - Current Global Poisson webinar, weekly online seminar, 9 Apr 2020-today.
Seminar
Global Poisson webinar
Université de Genève Section de mathématiques, Switzerland
2020/09/14 - 2020/09/16 Junior Global Poisson Workshop, online event, September 14-16, 2020
Workshop
Junior Global Poisson Workshop
Université de Genève Section de mathématiques, Switzerland
2020/09/10 - 2020/09/11 Workshop on Multisymplectic geometry, KU Leuven, Belgium, September 10-11, 2020.
Workshop
Workshop on Multisymplectic geometry
Katholieke Universiteit Leuven Departement Wiskunde, Belgium
2020/02/27 - 2020/02/27 Workshop on geometric structures, Lie groupoids and symmetries, Utrecht Geometry Centre, The Netherlands, February 27, 2020.
Workshop
Workshop on geometric structures, Lie groupoids and symmetries
Universiteit Utrecht Departement Wiskunde, Netherlands
2019/12/09 - 2019/12/13 participation as an invited speaker at the International Conference on Poisson Geometry, IMPA, Rio de Janeiro, Brazil, December 9-13, 2019.
Conference
International Conference on Poisson Geometry
Instituto Nacional de Matemática Pura e Aplicada, Brazil
2019/12/02 - 2019/12/07 School on Poisson Geometry, IMPA, Rio de Janeiro, Brazil, December 2-7, 2019
Other
School on Poisson Geometry
Instituto Nacional de Matemática Pura e Aplicada, Brazil
2019/10/31 - 2019/11/02 participation as an invited speaker at the Workshop on Contact and Poisson Geometry, Timisoara, Romania, October 31 - November 2, 2019
Workshop
Workshop on Contact and Poisson Geometry
Universitatea de Vest din Timisoara, Romania
2019/04/12 - 2019/04/16 participation as a speaker to the Bayrischzell Workshop 2019 ”Quantum structure of space-time: Generalized geometry and symmetries”, Bayrischzell, Germany, April 12 - 16, 2019.
Workshop
Bayrischzell Workshop 2019 ”Quantum structure of space-time: Generalized geometry and symmetries”
2019/02/03 - 2019/02/08 participation, as an invited speaker within the special session JuniorGESTA, to the Congreso Bienal de la Real Sociedad Matemática Española (RSME), Santander, Spain, February 4 - 8, 2019.
Congress
Congreso Bienal de la Real Sociedad Matemática Española (RSME)
Real Sociedad Matemática Española, Spain
2018/12/12 - 2018/12/14 participation as an invited speaker to the conference "Poisson aan de Waal", Radboud University Nijmegen, The Netherlands, December 12 - 14, 2018.
Conference
Poisson aan de Waal
Radboud Universiteit, Netherlands
2018/09/16 - 2018/09/22 participation to the conference "Homotopy algebras, deformation theory and quantization", Banach Conference Center, Bedlewo, Poland, September 16 - 22, 2018.
Conference
Homotopy algebras, deformation theory and quantization
Instytut Matematyczny Polskiej Akademii Nauk, Poland
2018/09/03 - 2018/09/07 participation as a speaker to the XXVII International Fall Workshop on Geometry and Physics, Instituto de Matemáticas de la Universidad de Sevilla, Spain, September 3 - 7, 2018.
Workshop
XXVII International Fall Workshop on Geometry and Physics
Universidad de Sevilla Instituto Universitario de Investigación de las Matemáticas Antonio de Castro Brzezicki, Spain
2018/05/29 - 2018/06/02 participation to the Séminaire itinérant «Géométrie et Physique» (GAP XVI), West University of Timisoara, Romania, 29 May - 2 June 2018.
Conference
Séminaire itinérant «Géométrie et Physique» (GAP XVI)
Universitatea de Vest din Timisoara, Romania
2017/08/21 - 2017/08/25 participation as a speaker to the Conference on Pure and Applied Differential Geometry – PADGE 2017, Department of Mathematics, KU Leuven, Belgium, 21 – 25 August 2017.
Conference
Conference on Pure and Applied Differential Geometry – PADGE 2017
Katholieke Universiteit Leuven Departement Wiskunde, Belgium
2016/07/25 - 2016/07/29 participation as an invited speaker to the Workshop on Noncommutative Geometry and Higher Structures, Dipartimento di Matematica ed Informatica, Università di Perugia, Italy, 25 - 29 July 2016.
Workshop
Workshop on Noncommutative Geometry and Higher Structures
Università di Perugia Dipartimento di Matematica e Informatica, Italy
2016/07/11 - 2016/07/15 participation as a speaker to the Conference “Differential Geometry and its Applications (DGA) 2016”, Department of Mathematics and Statistics, Masaryk University, Brno, Czech Republic, 11 - 15 July 2016.
Conference
Differential Geometry and its Applications (DGA) 2016
Masarykova univerzita, Czech Republic
2016/07/04 - 2016/07/08 participation to the Conference “Poisson 2016”, Swiss Federal Institute of Technology (ETH), Zurich, Switzerland, 4 - 8 July 2016.
Conference
Poisson 2016
Eidgenössische Technische Hochschule Zürich, Switzerland
2015/10/05 - 2015/10/10 participation to the Autumn School “From Poisson Geometry to Quantum Fields on Noncommutative Spaces”, Institut für Mathematik, Universität Würzburg, Germany, 5 - 10 October 2015.
Other
From Poisson Geometry to Quantum Fields on Noncommutative Spaces
Julius-Maximilians-Universität Würzburg Institut für Mathematik, Germany
2015/08/31 - 2015/09/04 participation to the XXIV International Fall Workshop on Geometry and Physics, Centro Universitario de la Defensa, Zaragoza, Spain, 31 August - 4 September 2015.
Workshop
XXIV International Fall Workshop on Geometry and Physics
Centro Universitario de la Defensa Zaragoza, Spain
2015/06/28 - 2015/07/04 participation as a speaker to the XXXIV Workshop on Geometric Methods in Physics, Bialowieza, Poland, 28 June - 4 July 2015
Workshop
XXXIV Workshop on Geometric Methods in Physics
Uniwersytet w Bialymstoku, Poland
2015/05/10 - 2015/05/16 participation with a poster to the Conference “Geometry of Jets and Fields”, Banach Center, Bedlewo, Poland, 10 - 16 May 2015.
Conference
Geometry of Jets and Fields
Instytut Matematyczny Polskiej Akademii Nauk, Poland
2014/06/29 - 2014/07/12 participation to the XXXIII Workshop on Geometric Methods in Physics and III School on Geometry and Physics, Bialowieza, Poland, 29 June – 12 July 2014.
Workshop
XXXIII Workshop on Geometric Methods in Physics and III School on Geometry and Physics
Uniwersytet w Bialymstoku, Poland
2013/07/29 - 2013/08/30 participation to the Summer School of Mathematics SMI (Scuola Matematica Interuniversitaria), Dipartimento di Matematica e Informatica, Università di Perugia, Italy, 29 July – 30 August 2013.
Other
Summer School of Mathematics SMI (Scuola Matematica Interuniversitaria)
Scuola Matematica Interuniversitaria (SMI), Italy

Jury of academic degree

Topic
Role
Candidate name (Type of degree)
Institution / Organization
2021/03/01 On Moment Maps and Jacobi Structures Alexander Leguizamon Robayo (Master)
Universidad Nacional de Colombia Departamento de Matemáticas, Colombia
2020/12/14 Reader of the Master Thesis "On Moment Maps and Jacobi Structures"
President of the jury
Alexander Leguizamon Robayo (Master)
Universidad Nacional de Colombia Departamento de Matemáticas, Colombia

Association member

Society Organization name Role
2014 - Current Istituto Nazionale di Alta Matematica (INdAM) Francesco Severi member

Course / Discipline taught

Academic session Degree Subject (Type) Institution / Organization
2019/07/21 - 2019/07/27 Symplectic and Contact Geometry (& the Hamiltonian Formalism), minicourse (12 hours) given at the XXII Summer Diffiety School, Lizzano in Belvedere, Italy, July 21–27, 2019. Symplectic and Contact Geometry (& the Hamiltonian Formalism)

Evaluation committee

Activity description
Role
Institution / Organization Funding entity
2021/07 - Current Member of the selection committee for a Bolsa de Investigação (First Stage Researcher grant) for MSc students in Mathematics at University of Porto (Projeto UIDB/MAT/00144/2020_Geom).
Member
Universidade do Porto Departamento de Matemática Pura, Portugal

Mentoring / Tutoring

Topic Student name
2022/03 - 2023/07 On the Local Structure of Poisson Manifolds Rodrigo de Oliveira Baptista

Other jury / evaluation

Activity description Institution / Organization
2018 - Current reviewer activity for Zentralblatt MATH Zentralblatt MATH, Germany
2017 - Current reviewer activity for Mathematical Reviews Mathematical Reviews, United States
Distinctions

Other distinction

2019 Research in Pairs at CIRM
Centre International de Rencontres Mathématiques, France
2018 FWO postdoctoral fellowship (three years)
Fonds Wetenschappelijk Onderzoek Vlaanderen, Belgium
2015 4 months PhD internship
Warsaw Center of Mathematics and Computer Science, Poland
2013 3 years PhD scholarship
Istituto Nazionale di Alta Matematica Francesco Severi, Italy
2013 1 month scholarship
Scuola Matematica Interuniversitaria (SMI), Italy