Personale docente

Address.
Dipartimento di Matematica
Parco delle Scienze 53/A Nazionality:Italiana
43100 Parma

e-mail:leonardo.biliotti@unipr.it
Place of birth: Florence Date of birth: 21/11/1972

Education

-11/91 - 10/96, Laurea con lode in Matematica.
-03/97 – 04/02 PHD University of Campinas (Brazil).
-05/02 - 05/03, Post-Doctoral position (INdAM Senior).
-12/04 – 08/07 Post-Doctoral position at University of Ancona.
- 09/07 - , Assistant Professor Univesrity of Parma..

Visiting Period
- 07/03 - 08/03, 08/04, 04/05 - 05/05, 06/06 - 08/06, 03/07 - 06/07, 07/08 - 08/08, 04/10 - 09/10, 24/08/16 - 26/08/16 (USP), Sao Paulo (SP) Brasile;
-01/05/09 - 11/05/09 Universidad de Granada, Granada, Spagna;
-25/11/10 - 29-11-11 -03/04/12 11/06/12 - 15/06/12 Mathematisches Institut der Universitat zu Koln, Koln, Germania;
-16/05/11 – 21/05/11, 03/10/11 7/10/11,27/03/12-03/04/12 11/06/12 - 15/06/12, 06/05/13 - 11/05/13, 09/12/14 - 11/12/14 Ruhr-Universitat Bochum, Bochum, Germania;
-01-10-2012 - 14-12-2012 Max Plank institute, Bonn, Germania;
-24/11/15 - 28/11/15, Universidad de Murcia, Murcia, Spagna;
-18/08/16 - 23/08/16, Universidade Estadual de Campinas (UNICAMP).

Students
Dott. Niccolò Pederzani (Laurea Magistrale) 04/11;
Dott. Michela Zedda (Assegnista) 03/15--12/15;
Dott. Alberto Raffero (Assegnista) 02/16--11/16;
Dott. Luca Adorni (Laura Triennale) 07/17.

Funds

-local coordinator Firb 2012 ''Differential geometry and geometric function theory
- partecipant unity of patma Prin 2012
-partecipant unity of parma Firb 2008 (starded 2010)
-partecipant unit of Parma Prin 2017 ''Real and Complex Manifolds: Topology, Geometry and holomorphic dynamics''
-partecipant unit of Parma Prin 2012 ''Varietà reali e complesse: geometria, topologia e analisi armonica'' Ref: {2010NNBZ78004 (36 mesi);
partecipant unit of Parma progetto Prin 2008 ''Geometria delle varieta' reali e complesse'' Ref 2007-BET4BR002 (24 mesi).

Congress attendend
-22-07-01 - 27-07-01, 23 Coloquio Brasileiro de Matematica,
Instituto Nacional de Matematica Pura e aplicada (IMPA), Rio de Janeiro (RJ) Brazil;
-15-08-01 - 17-08-01, Encontro de Geometria e Topologia, Universidade Estadual de Campinas (UNICAMP), Campinas (SP) Brazil;
-01-09-02 - 01-08-02, Proprietà Geometriche delle Varietà Reali e Complesse, Nuovi Contributi Italiani III, Mondello - Hotel La Torre, Palermo Italy;
-28-07-03 - 01-08-03, 24 Coloquio Brasileiro de Matematica, Instituto Nacional de Matematica Pura e aplicada (IMPA), Rio de Janeiro (RJ) Brazil;
-26-07-04 - 30-07-04, XIII Escola de Geometria diferencial, Universidade Estadual de Sao Paulo (USP), Sao Paulo (SP) Brazil;
-27-09-04 - 01-10-04, Progressi Recenti in Geometria Reale e Complessa, G.H. Bellavista, Levico-Terme (Trento) Italy;
-30-05-05 - 03-06-05, Complex analasys and Geometry - XVII, G.H. Bellavista, Levico-Terme (Trento) Italy;
- 09-03-06 - 11-03-06 ''Recenti sviluppi nella geometria complessa, differenziabile e simplettica'', Centro di ricerca Matematica Ennio de Giorgi, Pisa;
- 05-06-06 - 09-06-06, ''I congresso latino-americano de grupos de Lie em geometria'', Universidade Estadaul de Campinas (UNICAMP), Campinas (SP) Brazil;
-17-07-06 - 22-07-06, ''XIV Escola de Geometria Diferencial em homenagem a Shiing-Shen Chern'', Universidade Federal da Bahia (UFBA), Salvador (BA) Brazil;
-22-10-06 - 26-10-06, ''Progressi Recenti in Geometria Reale e Complessa'', G.H. Bellavista, Levico-Terme (Trento);
-22-01-07 - 26-01-07, ''Local Holomorphic Dinamics'', Centro di ricerca Matematica Ennio De Giorgi, Pisa;
-28-05-08 - 30-05-08, ''Recent Advances in Geometry and Topology of Submanifolds'', Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Università la Sapienza, Roma;
-14-07-09 - 18-07-08,'' XV Escola de Geometria,'' Fortaleza (CE) Brazil;
-22-01-09 - 24-01-09, '' Recenti Sviluppi in Geometria Complessa e Simplettica'', Centro di ricerca Matematica Ennio de Giorgi, Pisa;
-02-06-09 - 05-06-09, ''Complex Analysis and Geometry'' - XIX, G.H. Bellavista, Levico-Terme (Trento);
-24-05-10 - 28-05-10, ''Conference in Differential Geometry and Partial Differential Equations (65 Keti Tenenblat)'', Universidade de Brasilia (UNB), Brasilia (DF), Brazil;
-12-07-10 - 16-07-10, ''XVI Escola de Geometria'', Universidade Estadual de Sao Paulo (USP), Sao Paulo (SP) Brasile;
-12-05-11 - 13-05-11 ''Geometria in Bicocca'', Dipartimento di Matematica e Applicazioni dell'Università degli Studi di Milano Bicocca;
-13-06-11 - 17-06-11 '''Complex Analysis and Geometry ''- XX G.H. Bellavista, Levico-Terme (Trento);
-11-01-12 - 14-01-12 ''Lie groups: structure, actions and representations, dedicated to Joseph A. Wolf on the occasion of his 75th Birthday'', Bochum, Germany;
11-05-12 Geometria in Bicocca 2012, Dipartimento di Matematica e Applicazioni dell' Università degli Studi di Milano Bicocca;
28-02-13 - 03-03-13, Workshop su varietà reali e complesse: geometria, topologia e analisi armonica, Scuola Normale Superiore, Pisa.
20-02-14 - 22-02-14, Workshop su varietà reali e complesse: geometria, topologia e analisi armonica, Scuola Normale Superiore, Pisa;
04-12-14 - 05-12-14, Lagrangian submanifolds and related topics, Dipartimento di Matematica, Università degli Studi di Milano;
-10-12-14, Weihnachtskolloquium, Ruhr-Universit\"at Bochum, Bochum Germania;
-23-02-15 - 26-02-15, A workshop in memory of our colleague and friend Sergio Console, Dipartimento di Matematica ''G. Peano'', Torino;
-05-03-15 - 07-03-15, Workshop su varietà reali e complesse: geometria, topologia e analisi armonica, Scuola Normale Superiore, Pisa;
-07-09-15 - 12-09-15, XX Congresso dell'Unione Matematica Italiana, Siena;
-14-12-15 - 18-12-15, End of Year London Geometry Conference, King's college, London, England;
-03-02-16 - 04-02-16, Workshop "Complex Geometry and Hamiltonian actions", Dipartimento di Matematica e Informatica, Università di Parma;
-18-02-16 - 19-02-16, Workshop "Geometria in Bicocca 2016", Dipartimento di Matematica e Applicazioni dell'Università degli Studi di Milano-Bicocca;
-20-03-16 - 22-02-16 "Submanifolds and Lie Theory", Osaka City University, Osaka;
-23-03-16 - 26-03-16, "The IV Workshop "Complex Geometry and Lie Groups", Nara-Osaka;
-11-07-16 - 15-07-16, "Differential Geometry in large'', Firenze;
-28-08-16 - 02-09-16, "The first Joint Meeting Brazil - Italy in Mathematics", IMPA, Rio de Janeiro, Brasile;
-19-09-16 - 20-09-16, ''Workshop on Riemannian and Complex Geometry
On the occasion of the seventieth birthday of Francesco Mercuri", Centro S. Elisabetta, Parma, Italia;
-26-01-17 - 28-01-17, ''Perspectives in Geometry'' A conference in memory of Paolo de Bartolomeis, Firenze, Italia;
-24-02-17 - 26-02-17, ''Workshop su varietà reali e complesse:
geometria, topologia e analisi armonica'', SNS, Pisa, Italia;
-01-02-18 - 03-02-18, ''Varietà reali e complesse: geometria, topologia e analisi armonica'' SNS, Pisa, Italia;
-31-05-18 - 01-06-18, "Geometria in Bicocca'', Milano Bicocca, Milano, Italia;
-23-07-18 - 27-07-18, ''Modern Trends in Differential Geometry'' ICM 2018 Satellite conference, USP,, Sao Paulo, Brasile;
-01-08-18 - 09-08-18, ICM 2018, Rio Centro, Rio de Janeiro, Brasile.

Seminar and talks
-24-11-00 USP-UNICAMP seminar, Universidade Estadual de Sao Paulo (USP), Sao Paulo (SP) Brazil;
-01-12-00 USP-UNICAMP seminar, Universidade Estadual de Campinas
(UNICAMP), Campinas (SP) Brazil;
-17-07-03 Universidade Federal de Campina Grande (UFCG), Campina Grande (PB) Brazil;
-15-08-03 seminario USP-UNICAMP, Universidade Estadual de Sao Paulo (USP), Sao Paulo (SP) Brazil;
-02-10-03 University of Pavia;
-04-02-04 University of Parma;
-23-07-04 University of Ancona;
-06-10-04 University of Ancona;
-22-03-05 Seminar of Complex analysis, University of Roma ''Tor Vergata'', Roma Italy;
-11-04-05 Universidade Federal de Sao Carlos, Sao Carlos (UFSCAR), Sao Carlos (SP) Brazil;
-15-04-05 Universidade Estadual de Sao Paulo (USP), Sao Paulo (SP) Brazil;
-02-05-05 Universidade Estadual de Campinas (UNICAMP), Campinas
(SP) Brazil;
-02-06-06 Universidade Estadual de Sao Paulo (USP), Sao Paulo (SP), Brazil;
-08-06-06 First American Latin congress, Universidade Estadaul de Campinas (UNICAMP), Campinas (SP), Brazil;
-20-07-06 XIV Escola de Geometria diferencial em homenagem a Shiing-Shen Chern, Universidade Federal da Bahia (UFBA), Salvador (BA), Brazil;
-24-10-06 ``Progressi Recenti in Geometria Reale e Complessa'', G.H Bellavista, Levico-Terme (Trento).
-27-04-07 Universidade Federal do Rio Grande do Sul (UFRS), Porta Alegre (RS), Brazil.
-25-05-07 Universidade Federal de Manuas (UFM), Manaus (AM) Brazil.
-19-09-07 Università di Milano Bicocca, Milano.
-20-05-08, Università Statale di Milano, Milano.
-23-01-09, Recenti Sviluppi in Geometria Complessa e Simplettica, Centro di ricerca Matematica Ennio de Giorgi, Pisa.
-06-05-09, Universidad de Granada, Spain.
-08-06-10, Universidade Federal do ABC (UFABC), Santo Andre (SP), Brazil.
-18-07-10, Universidade Estadual de Sao Paulo (USP), Sao Paulo (SP), Brazil.
-16-07-10 XVI Escola de Geometria, Universidade Estadual de Sao Paulo (USP), Sao Paulo (SP), Brazil.
-12-08-10, Universidade Federal do Ceara (UFC), Fortaleza (CE), Brazil.
-26-11-10 Mathematisches Institut der Universitat zu Koln, Koln, Germany.
-20-05-11 Ruhr-Universitat Bochum, Bochum, Germany.
-03-05-12 University of Florence;
-04-05-12 University of Rome Tor Vergata.
-22-11-12 Max Plank Institute;
-03-03-13 Workshop su varietà reali e complesse: geometria, topologia e analisi armonica, Scuola Normale Superiore, Pisa;
04-12-14, Lagrangian submanifolds and related topics, Dipartimento di Matematica, Università degli Studi di Milano;
08-09-15, XX Congresso dell'Unione Matematica Italiana, Siena;
26-11-15, Universidad de Murcia;
19-02-16, "Geometria in Bicocca 2016", Università di Milano Bicocca, Milano;
22-03-16, "Submanifolds and Lie Theory", Osaka City University, Osaka;
23-03-16, "The IV Workshop "Complex Geometry and Lie Groups", Nara-Osaka;
18-22-23-09-16, Minicorso ''Mappa momento e Teoremi di convessità'', Universidade estadual de Campinas (UNICAMP), Campinas (SP), Brasile;
26-09-16, Universidade Estadual de S\~ao Paulo (USP), S\~ao Paulo (SP) Brasile;
31-09-16, "The first Joint Meeting Brazil - Italy in Mathematics", IMPA, Rio de Janeiro, Brasile;
24-02-17, Università di Firenze;
26-02-17, ''Workshop su varietà reali e complesse:
geometria, topologia e analisi armonica'', Pisa SNS;
20-07-18, Modern Trends in Differential Geometry: preliminary talks, USP, S~ao Paulo, Brasile.

Pubblications
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Biliotti, L., On the automorphism group of a second order structure, Rend. Sem. Mat. Univ. Padova 104 (2000) 63-70;
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Biliotti, L., Mercuri, F., Tausk, D., A note on tensor fields in Hilbert spaces, An. Acad. Brasil. Cienc. 74 (2) (2002) 207-210;
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Bilioti, L., Properly discontinuous isometric actions on the unit sphere of infinite dimensional Hilbert spaces, Ann. Global Anal. Geom. 26 (2004) 385-395;
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Exponential map of a weak Riemannian Hilbert manifold}, Illinois J. Math 48 (4) (2004) 1191-1206;
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Biliotti, L., Gori, A., Coisotropic and Polar actions on complex Grassmannians, Trans. Am. Math. Soc. 357 (2005) 1731-1751;
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Biliotti, L., Coisotropic and polar actions on compact irreducible Hermitian symmetric spaces, Trans. Am. Math. Soc. 358 (2006) 3003-3022;
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Biliotti, L., Some results on infinite dimensional Riemannian
geometry, Acta Sci. Math. 72 (2006) 387-405;
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Biliotti, L., Exel, R., Piccione, P., Tausk, D., On the singularities of the exponential map in infinite dimensional Riemannian manifolds,
Math. Ann. 336 (2) (2006) 247-267;
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Biliotti L. ,Gorodski C., Polar actions on a compact rank one symmetric spaces are taut, Math. Z. 255 (2) (2007) 335-342;
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Biliotti, L., Hamiltonian actions and Lagrangian homogeneous
submanifolds, Tohoku Math. J. 59 (2007) 603-616;
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Biliotti, L., Mercuri, F., Piccione, P., On a Gromoll-Meyer type
theorem in globally hyperbolic stationary spacetime, Comm. Anal. Geom. 16 (2008) 333-393;
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Biliotti, L., Ghigi, A., Homogeneous bundles and the first eigenvalue of symmetric spaces, Ann. Inst. Fourier (Grenoble) 58 (2008) 2315-2331;
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Biliotti, L., A note on moment map on symplectic manifolds, Bull. Belg. Math. Soc. Simon Stevin 16 (2009) 107-116;
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Biliotti, L., Javaloyes, M. A., Piccione, P., Genericity of nondegenerate critical points and Morse geodesic functionals, Indiana Univ. Math. J. 58 (2009) 1797- 1831;
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Alexandrino M., Biliotti L., Pedrosa R., Lectures on isometric actions, Lectures on isometric actions. XV Escola de Geometria Diferencial. [XV School of Differential Geometry] Instituto de Matematica Pura e Aplicada (IMPA), Rio de Janeiro 2008. vi+224 pp;
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Biliotti, L., Javaloyes, M. A., t-periodic light rays in conformally stazionary spacetime via Finsler geometry,Houston J. Math. 37 (2011), n. 1 127-146.;
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Biliotti, L., Javaloyes, M. A., Piccione, P., on the Semi-Riemannian bumpy metric theorem J. Lond. Math. Soc. 84 (2011) n. 1, 1-18, ;
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Biliotti L., A. Ghigi, Satake-Furstenberg compactifications and moment map, Amer. J. Math. 135 (2013) 237--274 ;
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Biliotti, L., Ghigi, A., Heinzner, P., Coadjoint orbitopes, preprint arxiv1206.5717 to appear in Osaka J. Math.
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Biliotti L., Ghigi A., Heinzner P., Polar orbitopes,. Comm. Anal. Geom. 21 (2013), (3), 579--606.
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Biliotti, L., Mercuri, F., Properly discontinuous actions on Hilbert manifolds, Bull. Braz. Math. Soc., New Series 45 (3) (2014), 433--452;
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\item Biliotti, L., Ghigi, A., Heinzner, P., A remark on the gradient map, Doc. Math. (19}(2014), 1017--1023;
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\item Biliotti, L., Ghigi, A., Heinzner, P., Coadjoint orbitopes} Osaka J. Math. (51) (4) (2014), 935--968;
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\item Biliotti L., Ghigi A., Heinzner P., Invariant convex set in polar representations, Israel J. Math. \textbf{213}, 423--441, (2016).
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Biliotti L., Ghigi A., Stability of measures on Kahler manifold, Adv. Math. 307 (2017), 1108-1150 .
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i L., Mercuri F., Riemannian Hilbert manifolds,
Hermitian-Grassmannian submanifolds, 261-271, Springer Proc. Math. Stat., 203, Springer, Singapore, 2017.
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Biliotti L., Zedda, M. Stability with respect to actions of real reductive Lie groups,
Ann. Mat. Pura Appl. \textbf{196 (6)} (2017).
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Biliotti L., Raffero, A.,Convexity theorems for the gradient map on probability measures, Complex Manifolds, 5 (1), 133--145 (2018).
Biliotti L., Ghigi, A., Remarks on the abelian convexity theorem, to appear on Proceedings of the American Mathematical Society.