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Storico lavorativo:

  1. Ricercatore RTD-B (posizione tenure-track nel sistema italiano) aprile 2022 - oggi Università di Roma “Tor Vergata”, Italia  
  2. Assegnista di ricerca gennaio 2021 - marzo 2022 UiT Università Artica della Norvegia, Tromsø
  3. Visiting Researcher e docente di matematica da gennaio a febbraio e da maggio a giugno 2020, Università di Padova, Italia  
  4. Senior Research Fellow da gennaio a dicembre 2019 Università di Padova, Italia  
  5. Visiting Researcher novembre - dicembre 2018 Università di Bologna, Italia  
  6. Professore invitato di Matematica al BFS/TFS ottobre 2018 UiT-Università Artica della Norvegia, Tromsø 
  7. Assegnista di ricerca e docente stipendiato 1 giugno 2017 - 15 settembre 2018 Università di Bologna, Italia  
  8. Visiting Researcher febbraio - marzo 2017 Università di Bologna, Italia  
  9. Borsa Marie-Curie dal 1° febbraio 2015 al 31 gennaio 2017 Università di Bologna, Italia (dal 1 agosto 2016) Università di Edimburgo, Regno Unito (fino al 31 luglio 2016)  
  10. Assegnista di ricerca 16 gennaio 2013 - 15 gennaio 2015 Università di Parma, Italia  
  11. Assistente didattico stipendiato agosto 2013 Scuola di specializzazione estiva “Relatività Generale Matematica” organizzato da MSRI (Berkeley) e INdAM (Roma), Cortona, Italia  
  12. Collaborateur Scientifique 1 marzo 2010 - 14 gennaio 2013 Università del Lussemburgo, Lussemburgo  
  13. Professore a contratto di Matematica settembre 2009 - aprile 2011 Università di Firenze, Italia   

Formazione:  

  1. Dottorato di ricerca Matematica, Università di Firenze, Italia Gennaio 2006 - Giugno 2009 Titolo: Superizzazione di varietà di spin omogenee e geometria di supermanifold omogenei Supervisori: Prof. D. Alekseevsky, Prof. A. Spiro. Data: 30 giugno 2009. Voto Eccellente.
  2. Studente di dottorato in visita, Università di Edimburgo, Regno Unito, ottobre 2007 - maggio 2009 

Abilitazione:

  1. Abilitazione Professore Associato in Geometria e Algebra 01/A2 dal 18/09/2018 al 18/09/2029.  
  2. Abilitazione Professore Associato in Fisica Matematica 01/A4 dal 31/05/2021 al 31/05/2032.  

Principali bandi di ricerca:

  1. Borsa Marie-Curie INdAM-Cofund-2012 febbraio 2015 - gennaio 2017 PI del progetto di ricerca "La geometria delle supervarietà" Valore 126000€  
  2. Proposta d'azione COST giugno 2022 - ora Proponente secondario dell'azione COST “Geometria di Cartan, Lie, Sistemi Integrabili, Teorie dei gruppi quantistici per applicazioni” (CaLISTA). Proponente principale: R. Fioresi (Università di Bologna). Valore 500000€  
  3. Borsa di studio FNR-Lussemburgo 3-6 settembre 2012 Responsabile [con A. Altomani] del progetto congressuale "Symmetries in Differential Geometry and Mathematical Physics" Valore 15000€  

Conferenze su invito (solo dal 2021 in poi): 

  1. Meeting on Geometric Methods in Science (Poland, https://griegmeetschopin.com/) 10th - 14th July 2023 (invited speakers include Sir Roger Penrose)  
  2. CaLISTA Kick-off meeting (Italy) 5th - 9th June 2023  
  3. Conference “Lie Theory: frontiers, algorithms, and applications” (Italy) 10th - 14th January 2023  
  4. Workshop “A Quantum & Super afternoon in Bologna” (Italy) 9th September 2022  
  5. Workshop “Noncommutative geometry and higher structures” (Italy) 6th - 10th June 2022  
  6. Complex Geometry Meeting 2021 (Norway) 9th - 11th December 2021  
  7. SCREAM Workshop (Poland, online http://old.cft.edu.pl/grieg/). 16th - 21st August 2021  
  8. Geometric Structures and Supersymmetry (Norway, online) 2nd - 3rd August 2021    

Seminari su invito (solo dal 2021 in poi):  

  1. Cohomology Seminar, Czech Academy of Sciences, Prague (CZ, online) 10th May 2023  
  2. Seminar “Complex analysis in several variables”, Moscow State University (Russia, online) 3rd May 2023  
  3. Department Day, Tor Vergata University, Rome (Italy) 15th December 2022  
  4. Algebra, Geometry and Number Theory Seminar, University of Bath (UK) 6th December 2022  
  5. Algebra & Representation Theory Seminar, Tor Vergata University, Rome (Italy) 25th March 2022  
  6. GRIEG Seminars at CFT PAN, Warsaw. 14th January, 28th January, 11th February 2022  
  7. Cohomology Seminar, Czech Academy of Sciences, Prague (CZ, online) 12th May 2021  
  8. Seminar “Complex analysis in several variables”, Moscow State University (Russia, online) 14th April 2021     

Esperienze Organizzative (solo dal 2021 in poi):

Conferenze

  1. Organizzatore [con G. Codogni, V. Morinelli] dell'incontro Dipartimento Day, Università Tor Vergata, Roma (Italia) 21 dicembre 2023  
  2. Organizzatore [con B. Kruglikov, D. The] della conferenza Geometric Structures and Supersymmetry, UiT-The Arctic University of Norvegia, Tromsø, 23-26 agosto 2022  
  3. Organizzatore [con B. Kruglikov, D. The] del workshop Zoom Geometric Structures and Supersymmetry, UiT-The Arctic University of Norvegia, Tromsø, 2-3 agosto 2021  

Seminari

  1. Organizzatore dei Seminari ARTS - Algebra e Teoria delle Rappresentazioni presso l'Università di Roma “Tor Vergata” (insieme a F. Gavarini, N. Kowalzig, M. Lanini) da gennaio 2023 ad oggi.    

Esperienza di insegnamento:  Diversi corsi universitari in Algebra, Algebra lineare, Geometria e aspetti matematici delle teorie fisiche presso i Dipartmenti di Matematica, Fisica, Informatica, Ingegneria ed Economia in varie università italiane ed europee  

Membro:

  1. Membro del gruppo di ricerca nazionale Geometria e Algebra dell'INdAM (Italia)
  2. Membro dell'Associazione Alumni Marie Curie
  3. Membro di progetti di ricerca italiani ed europei  

Referee:

  1. Referee per le riviste Abh. Math. Semin. Univ. Hambg., Anal. Math. Phys., Ann. Mat. Pura Appl., Comm. Math. Phys., Int. J. Geom. Methods Mod. Phys., J. Geom. Phys., J. London Math. Soc., J. Math. Phys., J. Phys A: Math. Theor., SIGMA (alcuni più volte).
  2. Referee di tesi di laurea e master in Matematica  

Soggiorni di ricerca su invito (solo dopo il 2021):

  1. UiT-The Arctic University of Norvegia, Tromsø 29 novembre - 16 dicembre 2023
  2. Istituto Galileo Galilei di Firenze (Italia) 19 - 23 giugno 2023
  3. Università di Bath (UK) 4 - 11 dicembre 2022
  4. Istituto Galileo Galilei di Firenze (Italia) 28 - 30 novembre 2022
  5. UiT-The Arctic University of Norvegia, Tromsø 10 - 30 agosto 2022  

Elenco delle pubblicazioni:

  1. (1) Superization of Homogeneous Spin Manifolds and Geometry of Homogeneous Supermanifolds, Ph.D. Thesis (2009).  
  2. (2) Superizations of Cahen-Wallach Symmetric Spaces and Spin Representations of the Heisenberg Algebra, J. Geom. Phys. 60 (2010), 295–325.  
  3. (3) Superization of Homogeneous Spin Manifolds and Geometry of Homogeneous Supermanifolds, Abh. Math. Semin. Univ. Hambg. 80 (2010), 87–144.  
  4. (4) Super-Poincar´e algebras, space-times and supergravities (I) [with A. Spiro], Adv. Theor. Math. Phys. 16 no. 5 (2012), 1411–1441.  
  5. (5) Super-Poincar´e algebras, space-times and supergravities (II) [with A. Spiro], J. Math. Phys. 53 (2012), 032505 (24 pp).  
  6. (6) Tanaka structures modeled on extended Poincar´e algebras [with A. Altomani], Indiana Univ. Math. J. 63 no. 1 (2014), 91–117.  
  7. (7) Classification of maximal transitive prolongations of super-Poincar´e algebras [with A. Altomani], Adv. Math. 265 (2014), 60–96.  
  8. (8) A generalized integrability problem for G-structures, Ann. Mat. Pura Appl. 195 (2016), 1463–1489.  
  9. (9) Sasakian manifolds and M-theory [with J. Figueroa-O’Farrill], Classical Quantum Gravity 33 (2016), 095004 (18pp).  
  10. (10) Eleven-dimensional supergravity from filtered subdeformations of the Poincar´e superalgebra [with J. Figueroa-O’Farrill], J. Phys A: Math. Theor. 49 (2016), 295204 (7pp).  
  11. (11) Killing superalgebras for Lorentzian four-manifolds [with P. de Medeiros, J. Figueroa-O’Farrill], J. High Energy Phys. 6 (2016), 2016:106 (50 pp).  
  12. (12) Almost CR quaternionic manifolds and their immersibility in HPn, Abh. Math. Semin. Univ. Hambg. 87 (2017), 83–103.  
  13. (13) Homogeneous irreducible supermanifolds and graded Lie superalgebras [with D. Alekseevsky], Int. Math. Res. Not. IMRN 4 (2018), 1045–1079.  
  14. (14) Spencer cohomology and 11-dimensional supergravity [with J. Figueroa-O’Farrill], Comm. Math. Phys. 349 (2017), 627–660.  
  15. (15) On the algebraic structure of Killing superalgebras [with J. Figueroa-O’Farrill], Adv. Theor. Math. Phys 21 (2017), 1115–1160.  
  16. (16) Homogeneous models for Levi degenerate CR manifolds, Kyoto J. Math. 60 (2020), 291–334.  
  17. (17) Killing superalgebras for Lorentzian six-manifolds [with P. de Medeiros, J. Figueroa-O’Farrill], J. Geom. Phys. 132 (2018), 13–44.  
  18. (18) Classification of simple linearly compact Kantor triple systems over the complex numbers [with N. Cantarini, A. Ricciardo], J. Algebra 514 (2018), 468–535.  
  19. (19) Homogeneous symplectic 4-manifolds and finite dimensional Lie algebras of symplectic vector fields on the symplectic 4-space [with D. Alekseevsky], Mosc. Math. J. 20 (2020), 217–256.  
  20. (20) G(3)-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation [with B. Kruglikov, D. The], Adv. Math. 376 (2021), 98 pages. https://doi.org/10.1016/j.aim.2020.107420  
  21. (21) Remarks on highly supersymmetric backgrounds of 11-dimensional supergravity, Proceedings of the Abel Symposium 2019 “Geometry, Lie Theory and Applications”, Springer series “Abel Symposia” (2022), 253–277.  
  22. (22) On Jordan classes for Vinberg’s ?-groups [with G. Carnovale, F. Esposito], Transform. Groups 28 (2023), 151–183.  
  23. (23) Symmetries of supergeometries related to nonholonomic superdistributions [with B. Kruglikov, D. The], Transform. Groups 29 (2024), 179–229.  
  24. (24) Exceptionally simple super-PDE for F(4) [with D. The], to appear on Commun. Contemp. Math., 52 pages.  

Employment History:

  1. RTD-B researcher (tenure-track position in Italian system) April 2022 - now University of Rome “Tor Vergata”, Italy  
  2. Research Fellow January 2021 - March 2022 UiT The Arctic University of Norway, Tromsø.  
  3. Visiting Researcher & Lecturer in Mathematics January - February & May - June 2020 The University of Padova, Italy
  4. Senior Research Fellow January - December 2019 The University of Padova, Italy  
  5. Visiting Researcher November - December 2018 The University of Bologna, Italy  
  6. Invited BFS/TFS Professor in Mathematics October 2018 UiT-The Arctic University of Norway, Tromsø.  
  7. Research Fellow and Stipendiary Lecturer 1st June 2017 - 15th September 2018 The University of Bologna, Italy  
  8. Visiting Researcher February - March 2017 The University of Bologna, Italy  
  9. Marie-Curie Fellow 1st February 2015 - 31st January 2017 The University of Bologna, Italy (from 1st August 2016) The University of Edinburgh, UK (until 31st July 2016)  
  10. Research Fellow 16th January 2013 - 15th January 2015 The University of Parma, Italy  
  11. Stipendiary Teaching Assistant August 2013 Summer graduate school “Mathematical General Relativity” organised by MSRI (Berkeley) and INdAM (Rome), Cortona, Italy  
  12. Collaborateur Scientifique 1st March 2010 - 14th January 2013 The University of Luxembourg, Luxembourg  
  13. Non-stipendiary Lecturer in Mathematics September 2009 - April 2011 The University of Florence, Italy    

Education:

  1. Ph.D. Mathematics, The University of Florence, Italy January 2006 - June 2009 Title: Superization of Homogeneous Spin Manifolds and Geometry of Homogeneous Supermanifolds Supervisors: Prof. D. Alekseevsky, Prof. A. Spiro. Viva date: 30th June 2009. Grade Excellent.
  2. Visiting Ph.D. student, The University of Edinburgh, UK October 2007 - May 2009    

Habilitation:

  1. Habilitation to Italian associate professorship in Geometry and Algebra 01/A2 from 18/09/2018 to 18/09/2029.  
  2. Habilitation to Italian associate professorship in Mathematical Physics 01/A4 from 31/05/2021 to 31/05/2032.  

Main Research Grants:

  1. Marie-Curie fellowship INdAM-Cofund-2012 February 2015 - January 2017 PI of the research project The geometry of supermanifolds Value 126000€  
  2. COST Action Proposal June 2022 - now Secondary proposer of the COST action “Cartan geometry, Lie, Integrable Systems, quantum group Theories for Applications” (CaLISTA). Main proposer: R. Fioresi (University of Bologna).  Value 500000€  
  3. Conference grant FNR-Luxembourg 3rd - 6th September 2012 Leader [with A. Altomani] of conference project Symmetries in Differential Geometry and Mathematical Physics Value 15000€    

Invited Conference Talks (only from 2021 on):

  1. Meeting on Geometric Methods in Science (Poland, https://griegmeetschopin.com/) 10th - 14th July 2023 (invited speakers include Sir Roger Penrose)  
  2. CaLISTA Kick-off meeting (Italy) 5th - 9th June 2023  
  3. Conference “Lie Theory: frontiers, algorithms, and applications” (Italy) 10th - 14th January 2023  
  4. Workshop “A Quantum & Super afternoon in Bologna” (Italy) 9th September 2022  
  5. Workshop “Noncommutative geometry and higher structures” (Italy) 6th - 10th June 2022  
  6. Complex Geometry Meeting 2021 (Norway) 9th - 11th December 2021  
  7. SCREAM Workshop (Poland, online http://old.cft.edu.pl/grieg/). 16th - 21st August 2021
  8. Geometric Structures and Supersymmetry (Norway, online) 2nd - 3rd August 2021

Invited Seminar Cycles and Talks (only from 2021 on):

  1. Cohomology Seminar, Czech Academy of Sciences, Prague (CZ, online) 10th May 2023
  2. Seminar “Complex analysis in several variables”, Moscow State University (Russia, online) 3rd May 2023
  3. Department Day, Tor Vergata University, Rome (Italy) 15th December 2022  
  4. Algebra, Geometry and Number Theory Seminar, University of Bath (UK) 6th December 2022  
  5. Algebra & Representation Theory Seminar, Tor Vergata University, Rome (Italy) 25th March 2022  
  6. GRIEG Seminars at CFT PAN, Warsaw. 14th January, 28th January, 11th February 2022  
  7. Cohomology Seminar, Czech Academy of Sciences, Prague (CZ, online) 12th May 2021  
  8. Seminar “Complex analysis in several variables”, Moscow State University (Russia, online) 14th April 2021    

 

Organizational Experiences (only from 2021 on):

Conferences

  1. Organiser [with G. Codogni, V. Morinelli] of the meeting Department Day, Tor Vergata University, Rome (Italy) 21th December 2023  
  2. Organiser [with B. Kruglikov, D. The] of the conference Geometric Structures and Supersymmetry, UiT-The Arctic University of Norway, Tromsø, 23rd-26th August 2022  
  3. Organiser [with B. Kruglikov, D. The] of the Zoom workshop Geometric Structures and Supersymmetry, UiT-The Arctic University of Norway, Tromsø, 2nd-3rd August 2021  

Seminars

  1. Organizer of ARTS - Algebra and Representation Theory Seminars at University of Rome “Tor Vergata” (together with F. Gavarini, N. Kowalzig, M. Lanini) from January 2023 to now.    

Teaching Experience:  Several undergraduate and graduate courses in Algebra, Linear Algebra, Geometry and mathematical aspects of physical theories in Mathematics, Physics, Informatics, Engineering, and Economics departments at various Italian and European universities      

Membership:    

  1. Member of Geometry and Algebra national research group of INdAM (Italy)  
  2. Member of Marie Curie Alumni Association  
  3. Member of Italian and European research projects    

Referee:

  1. Referee for the journals Abh. Math. Semin. Univ. Hambg., Anal. Math. Phys., Ann. Mat. Pura Appl., Comm. Math. Phys., Int. J. Geom. Methods Mod. Phys., J. Geom. Phys., J. London Math. Soc., J. Math. Phys., J. Phys A: Math. Theor., SIGMA (some of them several times).  
  2. Referee of undergraduate and master thesis in Mathematics    

Invited Research Stays (only after 2021):

  1. UiT-The Arctic University of Norway, Tromsø 29th November - 16th December 2023  
  2. Galileo Galilei Institute in Florence (Italy) 19th - 23rd June 2023  
  3. University of Bath (UK) 4th - 11th December 2022  
  4. Galileo Galilei Institute in Florence (Italy) 28th - 30th November 2022  
  5. UiT-The Arctic University of Norway, Tromsø 10th - 30th August 2022    

List of Publications:

  1. (1) Superization of Homogeneous Spin Manifolds and Geometry of Homogeneous Supermanifolds, Ph.D. Thesis (2009).  
  2. (2) Superizations of Cahen-Wallach Symmetric Spaces and Spin Representations of the Heisenberg Algebra, J. Geom. Phys. 60 (2010), 295–325.  
  3. (3) Superization of Homogeneous Spin Manifolds and Geometry of Homogeneous Supermanifolds, Abh. Math. Semin. Univ. Hambg. 80 (2010), 87–144.  
  4. (4) Super-Poincar´e algebras, space-times and supergravities (I) [with A. Spiro], Adv. Theor. Math. Phys. 16 no. 5 (2012), 1411–1441.  
  5. (5) Super-Poincar´e algebras, space-times and supergravities (II) [with A. Spiro], J. Math. Phys. 53 (2012), 032505 (24 pp).  
  6. (6) Tanaka structures modeled on extended Poincar´e algebras [with A. Altomani], Indiana Univ. Math. J. 63 no. 1 (2014), 91–117.  
  7. (7) Classification of maximal transitive prolongations of super-Poincar´e algebras [with A. Altomani], Adv. Math. 265 (2014), 60–96.  
  8. (8) A generalized integrability problem for G-structures, Ann. Mat. Pura Appl. 195 (2016), 1463–1489.  
  9. (9) Sasakian manifolds and M-theory [with J. Figueroa-O’Farrill], Classical Quantum Gravity 33 (2016), 095004 (18pp).  
  10. (10) Eleven-dimensional supergravity from filtered subdeformations of the Poincar´e superalgebra [with J. Figueroa-O’Farrill], J. Phys A: Math. Theor. 49 (2016), 295204 (7pp).  
  11. (11) Killing superalgebras for Lorentzian four-manifolds [with P. de Medeiros, J. Figueroa-O’Farrill], J. High Energy Phys. 6 (2016), 2016:106 (50 pp).  
  12. (12) Almost CR quaternionic manifolds and their immersibility in HPn, Abh. Math. Semin. Univ. Hambg. 87 (2017), 83–103.  
  13. (13) Homogeneous irreducible supermanifolds and graded Lie superalgebras [with D. Alekseevsky], Int. Math. Res. Not. IMRN 4 (2018), 1045–1079.  
  14. (14) Spencer cohomology and 11-dimensional supergravity [with J. Figueroa-O’Farrill], Comm. Math. Phys. 349 (2017), 627–660.  
  15. (15) On the algebraic structure of Killing superalgebras [with J. Figueroa-O’Farrill], Adv. Theor. Math. Phys 21 (2017), 1115–1160.  
  16. (16) Homogeneous models for Levi degenerate CR manifolds, Kyoto J. Math. 60 (2020), 291–334.  
  17. (17) Killing superalgebras for Lorentzian six-manifolds [with P. de Medeiros, J. Figueroa-O’Farrill], J. Geom. Phys. 132 (2018), 13–44.  
  18. (18) Classification of simple linearly compact Kantor triple systems over the complex numbers [with N. Cantarini, A. Ricciardo], J. Algebra 514 (2018), 468–535.  
  19. (19) Homogeneous symplectic 4-manifolds and finite dimensional Lie algebras of symplectic vector fields on the symplectic 4-space [with D. Alekseevsky], Mosc. Math. J. 20 (2020), 217–256.  
  20. (20) G(3)-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation [with B. Kruglikov, D. The], Adv. Math. 376 (2021), 98 pages. https://doi.org/10.1016/j.aim.2020.107420  
  21. (21) Remarks on highly supersymmetric backgrounds of 11-dimensional supergravity, Proceedings of the Abel Symposium 2019 “Geometry, Lie Theory and Applications”, Springer series “Abel Symposia” (2022), 253–277.  
  22. (22) On Jordan classes for Vinberg’s ?-groups [with G. Carnovale, F. Esposito], Transform. Groups 28 (2023), 151–183.  
  23. (23) Symmetries of supergeometries related to nonholonomic superdistributions [with B. Kruglikov, D. The], Transform. Groups 29 (2024), 179–229.  
  24. (24) Exceptionally simple super-PDE for F(4) [with D. The], to appear on Commun. Contemp. Math., 52 pages.  
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