Curriculum Vitæ
Daniele Angella
(Last updated on August 7, 2014)
Personal informations
Name and surname
Daniele Angella
Date and place of birth
Citizenship
October 17, 1985, Pontremoli (MS), Italy
Italian
Actual position
Institution
research fellow
Istituto Nazionale di Alta Matematica
Positions
Actual position
01/12/2013- Research fellow (Assegno di Ricerca) by Istituto Nazionale di Alta Matematica, at
30/11/2014 Dipartimento di Matematica e Informatica of Università di Parma, under the advice
of prof. Adriano Tomassini.
01/12/2014- Junior Visiting Position at Centro di Ricerca Matematica “E. de Giorgi” in Pisa.
30/11/2016
Past positions
01/09/2013- Grant for abroad research activity by Istituto Nazionale di Alta Matematica, at De30/11/2013 partamento de Matemáticas of the Universidad de Zaragoza.
01/01/2010- PhD student in Mathematics, at Università di Pisa.
21/01/2013
1
Education
21/01/2013
14/07/2009
21/09/2007
2004
PhD in Mathematics, at Dipartimento di Matematica of Università di Pisa. Thesis
on Cohomological aspects of non-Kähler manifolds, advisor prof. Adriano Tomassini
(Università di Parma), research developed at Università di Pisa and during a period
at Institut Fourier of Université Joseph Fourier in Grenoble; date January 21, 2013,
grade eccellente (excellent).
Master degree in Pure and Applied Mathematics, at Università degli Studi di Parma.
Grade 110/110 with honour.
Bachelor degree in Mathematics, at Università degli Studi di Parma. Grade 110/110
with honour.
High school diploma, at Liceo Scientifico a indirizzo pni (high school focused mainly
on scientific subjects and computer science) “Leonardo da Vinci” in Villafranca in
Lunigiana (MS).
Awards and grants
2014
2013
2013
2009
2004
2004
Winner of a Junior Visiting Position at Centro di Ricerca Matematica “E. de Giorgi”
in Pisa.
“Michele Cuozzo” Prize 2013 for PhD thesis, Università di Roma Tor Vergata.
Winner of grants for research activity abroad (three months at Departamento de
Matemáticas of the Universidad de Zaragoza) and in Italy (one year at Dipartimento
di Matematica e Informatica of the Università di Parma, director prof. Adriano
Tomassini) by Istituto Nazionale di Alta Matematica.
Winner of grants for PhD studies at: Università di Pisa; Università di Roma “La
Sapienza”; Università di Roma “Tor Vergata”.
Winner of a grant as undergraduate student of Science (Chemistry) at Scuola Normale
Superiore in Pisa.
Winner of a scholarship by Istituto Nazionale di Alta Matematica for attending a
bachelor degree in Mathematics.
Teaching
2013
2012
2012
High school teacher of Mathematics and Physics at Liceo Classico “Giacomo Leopardi” (high school focused mainly on humanities) in Aulla (MS, Italy), from January
17, 2013 to February 10, 2013.
Tutor for the Geometry and Linear Algebra course, teacher prof. Carlo Petronio,
Bachelor degree in Civil, Environmental, and Construction Engineering, Università
di Pisa.
Advanced courses in Mathematics for high school students at Liceo Scientifico (high
school focused mainly on scientific subjects) “Leonardo Da Vinci” in Villafranca in
Lunigiana (MS, Italy), since 2012.
Other experiences
2014-today
2014-today
2014-today
System administration and maintenance for GeCo GeDi project: website “Geometria
Complessa e Geometria Differenziale”, http://gecogedi.dimai.unifi.it; mailing list “Geometria globale”, https://lists.math.unifi.it/mailman/listinfo/
geometriaglobale.
Referee.
Reviewer for Zentralblatt MATH.
2
2013-today
2014
2012-2013
2012
2011
2010
Reviewer for Mathematical Reviews.
Organizer, jointly with Simone Calamai and David Petrecca, of the seminars Complex Geometry and Analysis at Dini, Dipartimento di Matematica e Informatica “Ulisse Dini”, Università di Firenze (http://www.dm.unipi.it/~petrecca/
CGAlDini.html).
Organizer, jointly with Simone Calamai, of the informal seminars Seminari dei babygeometri 2012/2013 (Baby-geometry seminars), Dipartimento di Matematica, Università di Pisa (http://www.dm.unipi.it/~angella/baby-geometri/).
Representative, jointly with Serena Guarino Lo Bianco, of the Mathematics PhD
students, Università di Pisa.
Organizer, jointly with Laura Cremaschi, of the seminars Seminari degli ex-studenti di
Parma – seconda edizione (Parma alumnae’s seminars – second edition), Dipartimento
di Matematica, Università di Parma, January 09-12, 2012 (http://www.dm.unipi.
it/~angella/exstudenti2011/).
Organizer, jointly with Laura Cremaschi, of the seminars Seminari degli ex-studenti
di Parma (Parma alumnae’s seminars), Dipartimento di Matematica, Università di
Parma, December 21-22, 2010 and January 10, 2011 (http://www.dm.unipi.it/
~angella/exstudenti2010/).
3
Research
Research interests
Complex non-Kähler Geometry. Symplectic Geometry. Cohomological properties of non-Kähler manifolds. Functions of complex and hypercomplex variables.
• Several complex variables and analytic spaces, and Symplectic geometry.
– Complex geometry:
(Almost-)complex manifolds; Hermitian and Kählerian manifolds; Cohomology of complex
manifolds, cohomological decomposition and ∂∂-Lemma; Topological aspects of complex manifolds.
– Symplectic geometry:
Symplectic manifolds; Generalized geometries (à la Hitchin); Cohomology of compact symplectic manifolds.
– Deformations of analytic structures:
Deformations of complex structures; Deformations of special structures.
– Geometric convexity:
q-completeness; Other notions of convexity; Analytical consequences of geometric convexity
(vanishing theorems, etc.).
– Complex variables:
Holomorphic foliations and vector fields; Hyperbolic and Kobayashi hyperbolic manifolds;
Special classes of entire functions and growth estimates; Quasi-analytic and other classes of
functions; Functions of hypercomplex variables; Geometric theory of slice regular functions
of one quaternionic variable; Geometry and dynamics in the open unit ball of quaternions;
Quaternionic Hardy spaces.
• Global analysis, analysis on manifolds.
– General theory of differentiable manifolds:
de Rham theory; Hodge theory; Elliptic equations on manifolds; and Relations with special
manifold structures; Kähler-Einstein manifolds; Calabi-Yau theory.
• Topological groups, Lie groups.
– Lie groups:
General properties and structure of complex and real Lie groups; Nilpotent and solvable Lie
groups.
– Homology and homotopy of topological groups and related structures:
Homology and cohomology of Lie groups; Homology and cohomology of homogeneous spaces
of Lie groups.
Projects and Research groups
2012-today
2012-today
2010-today
Research program PRIN 2010/2011 “Varietà reali e complesse: geometria, topologia
e analisi armonica” (Real and complex manifolds: geometry, topology, and harmonic
analysis).
Research program FIRB 2012 “Geometria Differenziale e Teoria Geometrica delle
Funzioni” (Differential Geometry and Geometric Function Theory).
GNSAGA (National Group on Algebraic and Geometric Structures and their Applications) of Istituto Nazionale di Alta Matematica.
4
Collaborators
Adriano Tomassini
Simone Calamai
Hisashi Kasuya
Weiyi Zhang
Federico Alberto Rossi
Maria Giovanna Franzini
Georges Dloussky
Adela Latorre
Dipartimento di Matematica e Informatica, Università di Parma, Italy.
Dipartimento di Matematica e Informatica “U. Dini”, Università di
Firenze, Italy.
Graduate School of Mathematical Sciences, University of Tokyo, Japan;
Department of Mathematics, Tokyo Institute of Technology, Japan.
Department of Mathematics, University of Michigan, USA;
current address: Mathematics Insitute, University of Warwick, United
Kingdom.
Dipartimento di Matematica e Applicazioni, Università di Milano Bicocca, Italy.
Dipartimento di Matematica, Università di Parma, Italy.
Institut de Mathématiques, Aix-Marseille Université, France.
Instituto Universitario de Matemáticas y Aplicaciones, Universidad de
Zaragoza, Spain.
Research period abroad
2014
2014
2014
2014
2014
2013
2012
2011
2011
University of the Basque Country, Bilbao, Spain, from June 30, 2014 to July 04, 2014,
at First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI.
Fakultät für Mathematik of the Universität Bielefeld, Germany, from May 06, 2014
to May 09, 2014, invited by prof. Sönke Rollenske and by dr. Giovanni Bazzoni.
Institut de Mathématiques de Toulouse of the Université Paul Sabatier Toulouse 3,
France, from March 30, 2014 to April 05, 2014, invited by prof.ssa Eveline Legendre.
Centre International de Rencontres Mathématiques, Luminy, Marseille, France, from
March 24, 2014 to March 29, 2014, at Komplex Analysis Winter School and Workshop.
Institut de Mathématiques de Marseille of the Aix-Marseille Université, France, from
February 02, 2014 to February 08, 2014, invited by prof. Georges Dloussky.
Departamento de Matemáticas, Universidad de Zaragoza, Spain, from September 01,
2013 to today, with a grant by Istituto Nazionale di Alta Matematica.
Institut Fourier, Laboratoire de Mathématiques, Université de Grenoble i, France,
from June 17, 2012 to July 07, 2012, for the summer school Feuilletages, Courbes
Pseudoholomorphes, Aypplications (Foliations, Pseudoholomorphic curves, Applications).
Institut Fourier, Laboratoire de Mathématiques, Université de Grenoble i, France,
from January 16, 2011 to February 13, 2011, from March 16, 2011 to March 31, 2011,
and from May 18, 2011 to June 09, 2011, invited by prof. Jean-Pierre Demailly.
Centre International de Rencontres Mathématiques, from February 13, 2011 to February 26, 2011, Francia, for the thematic month Complex and Riemann Geometry.
Conferences
2015
2014
2014
2014
2014
Joint meeting Nordic Complex Analysis Meeting (NORDAN) and Komplex Analysis
Winter school and workshop (KAWA), from March 23, 2015 to March 28, 2015, CRM
“de Giorgi”, Pisa, Italy.
Invited at the conference Progressi Recenti in Geometria Reale e Complessa - IX, from
October 19, 2014 to October 23, 2014, CIRM-FBK, Levico Terme (Trento), Italy.
Conference Complex Geometry, Analysis and Foliations, from September 29, 2014 to
October 03, 2014, ICTP, Trieste, Italy.
Workshop New trends in Differential Geometry 2014, from September 18, 2014 to
Semptember 20, 2014, Villasimius (CA), Italy.
Summer school An introduction to Calabi’s extremal Kaehler metrics by Paul Gauduchon, from July 21, 2014 to August 01, 2014, SMI, Cortona, Italy.
5
2014
2014
2014
2014
2014
2014
2014
2014
2014
2014
2013
2013
2013
2013
2013
2012
2012
2012
2012
2012
Invited speaker at First Joint International Meeting RSME-SCM-SEMA-SIMAIUMI, from June 30, 2014 to July 04, 2014, Bilbao, Spain.
Summer school Asymptotic aspects of complex and algebraic geometry, from June 23,
2014 to June 28, 2014, Dipartimento di Matematica e Applicazioni, Università di
Milano Bicocca, Milano, Italy.
Workshop Complex Geometry and Lie Groups, from June 16, 2014 to June 20, 2014,
Dipartimento di Matematica “G. Peano”, Università di Torino, Italy.
Workshop Isoperimetric Problems Between Analysis and Geometry of the ERC Research Period on Calculus of Variations and Analysis in Metric Spaces, from June 16,
2014 to June 20, 2014, Scuola Normale Superiore, Pisa, Italy.
Workshop Analysis and Geometry on Singular Spaces of the ERC Research Period on
Calculus of Variations and Analysis in Metric Spaces, from June 09, 2014 to June 13,
2014, Scuola Normale Superiore, Pisa, Italy.
Invited speaker at Conference on Complex Analysis and Geometry in honor of Pierre
Dolbeault, from June 02, 2014 to June 04, 2014, Université Pierre et Maire Curie,
Paris, France.
Speaker at Joint meeting Nordic Complex Analysis Meeting (NORDAN) and Komplex
Analysis Winter school and workshop (KAWA), from March 24, 2014 to March 29,
2014, CIRM, Luminy (Marseille), France.
Speaker at School Carnival Differential Geometry, from February 24, 2014 to February
27, 2014, Dipartimento di Matematica G. Peano, Università di Torino, Italy.
Invited speaker at Workshop Secondo workshop PRIN 2010-2011 Varietà reali e complesse: geometria, topologia e analisi armonica (Second Workshop PRIN 2010-2011
Real and complex manifolds: geometry, topology, and harmonic analysis), from February 20, 2014 to February 22, 2014, Scuola Normale Superiore, Pisa, Italy.
Workshop Partial Differential Equations and applications, from February 20, 2014 to
February 21, 2014, Dipartimento di Matematica, Università di Pisa, Italy.
Invited speaker at Workshop New Entries’s Day 2013 and Prize Michele Cuozzo 2013,
December 20, 2013, Dipartimento di Matematica, Università di Roma Tor Vergata,
Roma, Italy.
Workshop Fundamental Groups in Arithmetic and Algebraic Geometry, from December 16, 2013 to December 20, 2013, Centro di Ricerca Matematica Ennio de Giorgi,
Pisa, Italy.
Invited speaker at Workshop Incontro del progetto FIRB 2012 “Geometria Differenziale e Teoria Geometrica delle Funzioni” (FIRB workshop “Differential Geometry
and Geometric Function Theory”), from October 23, 2013 to October 25, 2013, Dipartimento di Matematica e Informatica “Ulisse Dini”, Università di Firenze, Italy.
Conference Complex Analysis and Geometry - XXI, from June 02, 2013 to June 07,
2013, CIRM Fondazione Bruno Kessler, Levico Terme (TN), Italy.
Workshop Varietà reali e complesse: geometria, topologia e analisi armonica (Real
and complex manifolds: geometry, topology, and harmonic analysis), from February
28, 2013 to March 03, 2013, Scuola Normale Superiore, Pisa, Italy.
Invited speaker at Workshop Progressi Recenti in Geometria Reale e Complessa (Recent Advances in Real and Complex Geometry), from October 14, 2012 to October
19, 2012, CIRM Fondazione Bruno Kessler, Levico Terme (TN), Italy.
Seminars The locally free geometry seminar at Florence, September 14, 2012, Dipartimento di Matematica ”Ulisse Dini”, Università di Firenze, Italy.
Conference New Trends in Holomorphic Dynamics, from September 03, 2012 to
September 07, 2012, INdAM, Palazzone della Scuola Normale Superiore, Cortona
(AR), Italy.
Summer school Feuilletages, Courbes Pseudoholomorphes, Applications (Foliations,
Pseudoholomorphic curves, Applications), from June 18, 2012 to July 06, 2012, Institut Fourier, Université Joseph Fourier, Grenoble, France.
Conference Giornate di Geometria Algebrica ed Argomenti Correlati XI (Days on
Algebraic Geometry and Related Subjects), from May 23, 2012 to May 26, 2012,
Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy.
6
2012
2012
2011
2011
2011
2011
2011
2011
2011
2010
2010
2010
2010
2010
2010
2010
Workshop Geometria in Bicocca 2012 (Geometry at Bicocca 2012), from May 10, 2012
to May 11, 2012, Dipartimento di Matematica e Applicazioni, Università di Milano
Bicocca, Italy.
Speaker at Seminars Seminario degli ex-studenti di Parma, seconda edizione (Parma
alumnae’s seminars, second edition), from January 09, 2012 to January 12, 2012,
Dipartimento di Matematica, Università di Parma, Italy.
Conference XIX Congresso dell’Unione Matematica Italiana (19th conference of Italian Mathematical Union), from September 12, 2011 to September 17, 2011, UMI,
Bologna, Italy.
Summer school Pluripotential Theory, from July 11, 2011 to July 16, 2011, CIME,
Cetraro (CS), Italy.
Conference Complex Analysis and Geometry xx, from June 13, 2011 to June 17, 2011,
CIRM, Levico Terme (TN), Italy.
Workshop Geometria in Bicocca 2011 (Geometry at Bicocca 2011), from May 12, 2011
to May 13, 2011, Dipartimento di Matematica e Applicazioni, Università di Milano
Bicocca, Italy.
Workshop Ricci Solitons Days in Pisa 2011, from April 04, 2011 to April 08, 2011,
Centro di Ricerca Matematica Ennio de Giorgi, Pisa, Italy.
Invited speaker at Workshop Non-Kählerian aspects of complex geometry, fourth week
of the thematic month Complex and Riemann Geometry, from February 21, 2011 to
February 25, 2011, CIRM, Luminy campus, Marseille, France.
Workshop Analytic aspects of complex algebraic geometry, third week of the thematic
month Complex and Riemann Geometry, from February 14, 2011 to February 18,
2011, CIRM, Luminy campus, Marseille, France.
Speaker at Seminars Seminario degli ex-studenti di Parma (Parma alumnae’s seminars), from December 21, 2010 to December 22, 2010 and January 10, 2011, Dipartimento di Matematica, Università di Parma, Italy.
Invited speaker at Conference Progressi Recenti in Geometria Reale e Complessa (Recent Advances in Real and Complex Geometry), from October 17, 2010 to October
22, 2010, CIRM, Levico Terme (TN), Italy.
Workshop Workshop in Deformation Theory ii, from August 30, 2010 to September
03, 2010, Dipartimento di Matematica, Università la Sapienza di Roma, Italy.
Summer school Ricci Flow and Geometric Applications, from June 28, 2010 to July
03, 2010, CIME, Cetraro (CS), Italy.
Conference Complex Geometry, from May 31, 2010 to June 04, 2010, INdAM, Levico
Terme (TN), Italy.
Workshop Geometria in Bicocca (Geometry at Bicocca), May 7, 2010, Dipartimento
di Matematica e Applicazioni, Università di Milano Bicocca, Italy.
Lectures An introduction to Topos Theory and its unifying role in Mathematics by
Olivia Caramello, from February 22, 2010 to February 26, 2010, Centro di Ricerca
Matematica Ennio de Giorgi, Pisa, Italy.
Invited talks
2014
2014
2014
2014
July 01, 2014, Bilbao: Cohomological properties of symplectic manifolds, at the First
Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI, Bilbao, Spain.
June 04, 2014, Paris: Cohomologies of complex manifolds, at the Conference on Complex Analysis and Geometry in honor of Pierre Dolbeault, Université Pierre et Maire
Curie Paris 6, France.
May 10, 2014, Pontremoli: joint with Anna Rita Giammetta, Matematica e
Democrazia, at Circolo ARCI Babel – la casa dei Popoli.
May 07, 2014, Bielefeld: Cohomologies of complex manifolds in non-Kähler geometry, at the seminars Oberseminar Gruppen und Geometrie, Faculty of Mathematics,
Universität Bielefeld, Bielefeld, Germany.
7
2014
2014
2014
2014
2014
2014
2014
2013
2013
2013
2013
2013
2013
2013
2013
2012
2012
April 04, 2014, Toulouse: Cohomological aspects of non-Kähler manifolds, at the
seminars on Analyse et géométrie complexe, Institut de Mathématiques de Toulouse,
Université Paul Sabatier, Toulouse, France.
March 28, 2014, Marseille: On Bott-Chern cohomology for complex manifolds, at the
Joint meeting NORDAN and KAWA, CIRM Luminy (Marseille), France.
March 04, 2014, Pisa: Un’introduzione alla Geometria non-Kähleriana (verso il Lato
Oscuro della Geometria Complessa) (An introduction to non-Kähler geometry), at
Seminari dei baby-geometri (Baby-geometry seminars), Dipartimento di Matematica,
Università di Pisa, Italy.
February 25, 2014, Torino: Cohomological aspects of non-Kähler manifolds, at the
Carnival Differential Geometry school, Dipartimento di Matematica “G. Peano”, Università di Torino, Italy.
February 22, 2014, Pisa: Coomologie di varietà complesse (Cohomologies of complex manifolds), at the second workshop PRIN 2010-2011 Varietà reali e complesse:
geometria, topologia e analisi armonica, Scuola Normale Superiore di Pisa, Italy.
January 22, 2014, and February 13, 2014, and February 19, 2014, and May 13, 2014,
and May 20, 2014, Parma: Formalità di varietà complesse, I-II-IV-V-VI (Formality
of complex manifolds, 1-2-4-5-6), at the Seminario di Geometria 2013/2014, Dipartimento di Matematica e Informatica, Università di Parma, Italy.
January 03, 2014, Firenze: CMA in Geometria Complessa (Complex Monge Ampère
equations in Complex Geometry), at CGAlDini, Dipartimento di Matematica e Informatica “Ulisse Dini”, Università di Firenze, Italy.
December 20, 2013, Roma: Cohomological aspects in complex non-Kähler geometry,
at workshop New Entries’ Day 2013 Cuozzo Prize, Dipartimento di Matematica, Università di Roma Tor Vergata, Italy.
November 27, 2013, Torino: Un’introduzione alla Geometria non-Kähleriana (An introduction to non-Kähler geometry), at Mathematics Ph.D. Seminars, Scuola di Dottorato in Scienze della Natura e Tecnologie Innovative, Dottorato in Matematica,
Università di Torino, Italy.
November 21, 2013, Madrid: An introduction to non-Kähler geometry , at Seminario
Doctorandos Matemáticas, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Spain.
November 19, 2013, Madrid: Cohomological aspects in complex non-Kähler geometry,
at Seminario de Geometrı́a y Topologı́a, Departamento de Geometrı́a y Topologı́a,
Universidad Complutense de Madrid, Spain.
November 12, 2013, Zaragoza: Cohomological aspects in complex geometry, working
seminar at Instituto Universitario de Matemáticas y Aplicaciones, Departamento de
Matemáticas, Universidad de Zaragoza, Spain.
October 24, 2013, Firenze: Relazioni coomologiche e modelli per varietà non-Kähleriane (Cohomological relations and models for non-Kähler manifolds), at the workshop
“Incontro del progetto FIRB 2012 Geometria Differenziale e Teoria Geometrica delle
Funzioni”, Dipartimento di Matematica e Informatica “Ulisse Dini”, Università di
Firenze, Italy.
October 01, 2013, Zaragoza: Cohomologically-computable manifolds, working seminar
at Departamento de Matemáticas of the Universidad de Zaragoza, Spain.
June 06, 2013, Levico Terme: Cohomologically-computable non-Kähler manifolds, at
the conference “Complex Analysis and Geometry - XXI”, CIRM Fondazione Bruno
Kessler, Italy.
December 12, 2012, Parma: Seminario di Geometria, IV, seminar at the working
group “Seminario di Geometria 2012/2013”, Dipartimento di Matematica e Informatica, Università di Parma, Italy.
December 10, 2012, Firenze: Non-Kähler Geometry: towards the Dark Side of Complex Geometry, at “Seminari dei Dottorandi” (PhD student seminars), Dipartimento
di Matematica “Ulisse Dini”, Università di Firenze, Italy.
8
2012
2012
2012
2011
2011
2011
2011
2011
2011
2010
2010
2010
November 21, 2012, Pisa: Cohomological aspects of non-Kaehler manifolds, at “Seminari di Geometria” (Geometry seminars), Dipartimento di Matematica, Università di
Pisa, Italy.
October 19, 2012, Levico Terme: Aspetti coomologici in Geometria non-Kähleriana
(Cohomological aspects in non-Kähler geometry), at the workshop “Progressi Recenti
in Geometria Reale e Complessa” (Recent Advances in Real and Complex Geometry),
CIRM Fondazione Bruno Kessler, Italy.
January 11, 2012, Parma: Introduzione alla Geometria Generalizzata, II (Introduction
to Generalized Geometry, second part), at “Seminari degli ex-studenti di Parma, seconda edizione” (Parma alumnae’s seminars, second edition ), Dipartimento di Matematica, Università di Parma, Italy.
December 12, 2011, Pisa: Coomologie di varietà complesse e varietà-esempio (Cohomologies of complex manifolds and toys-manifolds), informal seminar at “Seminari
Informali di Matematica dei Dottorandi, Seminari di Algebra e Geometria” (Informal seminars of PhD students, Algebra and Geometry Seminars), Scuola Normale
Superiore di Pisa, Italy.
October 18, 2011, and November 15, 2011, and November 29, 2011, Parma: Coomologia di Bott-Chern e deformazioni, i-iii-iv (Bott-Chern cohomology and deformations,
i-iii-iv), seminar at the working group “Seminario di Geometria 2011/2012”, Dipartimento di Matematica, Università di Parma, Italy.
September 16, 2011, Bologna: Scomposizione in coomologia per varietà quasicomplesse (Cohomology decomposition on almost-complex manifolds), communication at “XIX Congresso dell’Unione Matematica Italiana” (19th Conference of Italian Mathematical Union), section Geometria Complessa (Complex Geometry), UMI,
Bologna, Italy.
March 21, 2011, Grenoble: On cohomological properties of non-Kähler manifolds,
at “Séminaires d’Algèbre et géométries” (Algebra and Geometry Seminars), Institut
Fourier, Laboratoire de Mathématiques, Université de Grenoble i, France.
March 18, 2011, Grenoble: Non-Kähler complex varieties and Hodge decomposition,
at the workgroup “Pathologies in Institut Fourier” (Pathologies at Institut Fourier),
Institut Fourier, Université de Grenoble i, France.
February 22, 2011, Marseille: On cohomological properties of non-Kähler manifolds,
at the workshop “Analytic aspects of complex algebraic geometry”, CIRM, Luminy
campus, Marseille, France.
December 22, 2010, Parma: Coomologia di varietà (quasi-)complesse (Cohomology of
(almost-)complex manifolds), at the seminars “Seminari degli ex-studenti di Parma”
(Parma alumnae’s seminars), Dipartimento di Matematica, Università di Parma,
Italy.
October 18, 2010, Levico Terme: Scomposizione della coomologia di de Rham per
una classe di varietà quasi-complesse (Decomposition of de Rham cohomology for a
class of almost-complex manifolds), at the conference “Progressi Recenti in Geometria
Reale e Complessa” (Recent Advances in Real and Complex Geometry), CIRM, Italy.
¯
April 26, 2010, Pisa: Il ∂ ∂-lemma:
un’introduzione alla geometria Kähleriana (The
∂∂-Lemma: an introduction to non-Kähler geometry), informal seminar at “Seminari
dei baby-geometri” (Baby-geometry seminars), Dipartimento di Matematica “Leonida
Tonelli”, Università di Pisa, Italy.
9
Papers and preprints
Papers
[1] Daniele Angella, Adriano Tomassini,
On cohomological decomposition of almost-complex manifolds and deformations,
J. Symplectic Geom. 9 (2011), no. 3, 403–428,
doi: 10.4310/JSG.2011.v9.n3.a5,
http://projecteuclid.org/euclid.jsg/1310388902,
(preprint arXiv:0909.3604 [math.DG].)
[2] Daniele Angella, Adriano Tomassini,
On the cohomology of almost-complex manifolds,
Internat. J. Math. 23 (2012), no. 2, 1250019 (25 pages),
doi: 10.1142/S0129167X11007604,
http://www.worldscientific.com/doi/abs/10.1142/S0129167X11007604,
(preprint arXiv:1211.6276 [math.DG].)
[3] Daniele Angella,
The cohomologies of the Iwasawa manifold and of its small deformations,
J. Geom. Anal. 23 (2013), no. 3, 1355–1378,
doi: 10.1007/s12220-011-9291-z,
http://www.springerlink.com/content/m7547621g7722265/,
(preprint arXiv:1212.4351 [math.DG].)
[4] Daniele Angella, Adriano Tomassini,
On the ∂∂-Lemma and Bott-Chern cohomology,
Invent. Math. 192 (2013), no. 1, 71–81,
doi: 10.1007/s00222-012-0406-3,
http://link.springer.com/article/10.1007%2Fs00222-012-0406-3,
(preprint arXiv:1402.1954 [math.DG].)
[5] Daniele Angella, Federico Alberto Rossi,
Cohomology of D-complex manifolds,
Differ. Geom. Appl. 30 (2012), no. 5, 530–547,
doi: 10.1016/j.difgeo.2012.07.003,
http://www.sciencedirect.com/science/article/pii/S0926224512000617,
(preprint arXiv:1201.2503 [math.DG].)
[6] Daniele Angella, Simone Calamai,
A vanishing result for strictly p-convex domains,
Ann. Mat. Pura Appl. (4) 193 (2014), no. 4, 1069–1084,
doi: 10.1007/s10231-012-0315-5,
http://link.springer.com/article/10.1007/s10231-012-0315-5,
(preprint arXiv:1211.2564 [math.DG].)
[7] Daniele Angella, Adriano Tomassini, Weiyi Zhang,
On cohomological decomposability of almost-Kähler structures,
Proc. Amer. Math. Soc. 142 (2014), no. 10, 3615–3630,
doi: 10.1090/S0002-9939-2014-12049-1,
http://www.ams.org/journals/proc/2014-142-10/S0002-9939-2014-12049-1/home.html,
(preprint arXiv:1211.2928v1 [math.DG].)
10
[8] Daniele Angella, Adriano Tomassini,
Symplectic manifolds and cohomological decomposition,
J. Symplectic Geom. 12 (2014), no. 2, 1–22,
doi: 10.4310/JSG.2014.v12.n2.a1,
http://intlpress.com/site/pub/pages/journals/items/jsg/content/vols/0012/0002/a001/
index.html,
(preprint arXiv:1211.2565 [math.SG].)
[9] Daniele Angella,
Cohomologies of certain orbifolds,
J. Geom. Phys. 171 (2013), 117-126,
doi: 10.1016/j.geomphys.2013.04.008,
http://www.sciencedirect.com/science/article/pii/S0393044013000909,
(preprint arXiv:1211.2561 [math.DG].)
[10] Daniele Angella, Simone Calamai,
Bott-Chern cohomology and q-complete domains,
C. R. Math. Acad. Sci. Paris 151 (2013), no. 9–10, 343–348,
doi: 10.1016/j.crma.2013.05.006,
http://www.sciencedirect.com/science/article/pii/S1631073X13001118,
(preprint arXiv:1305.4011 [math.CV].)
[11] Daniele Angella, Adriano Tomassini,
Inequalities à la Frölicher and cohomological decompositions,
to appear in J. Noncommut. Geom.,
(preprint arXiv:1403.2298 [math.DG].)
Preprints
[12] Daniele Angella, Maria Giovanna Franzini, Federico Alberto Rossi,
Degree of non-Kählerianity for 6-dimensional nilmanifolds,
submitted,
(preprint arXiv:1210.0406 [math.DG].)
[13] Daniele Angella, Hisashi Kasuya,
Bott-Chern cohomology of solvmanifolds,
submitted,
(preprint arXiv:1212.5708 [math.DG].)
[14] Daniele Angella, Hisashi Kasuya,
Cohomologies of deformations of solvmanifolds and closedness of some properties,
submitted,
(preprint arXiv:1305.6709 [math.CV].)
[15] Daniele Angella, Hisashi Kasuya,
Symplectic Bott-Chern cohomology of solvmanifolds,
submitted,
(preprint arXiv:1308.4258 [math.SG].)
11
[16] Daniele Angella, Georges Dloussky, Adriano Tomassini,
On Bott-Chern cohomology of compact complex surfaces,
submitted,
(preprint arXiv:1402.2408 [math.DG].)
[17] Daniele Angella, Adriano Tomassini,
Cohomological models and formalities of complex manifolds,
submitted.
[18] Daniele Angella, Adriano Tomassini,
Stability of holomorphically-parallelizable manifolds,
submitted.
[19] Daniele Angella, Simone Calamai,
Cohomologies of generalized-complex manifolds and nilmanifolds,
submitted,
(preprint arXiv:1405.0981 [math.DG].)
[20] Daniele Angella, Simone Calamai, Adela Latorre,
On cohomological decomposition of generalized-complex structures,
submitted,
(preprint arXiv:1406.2101 [math.DG].)
[21] Daniele Angella, Hisashi Kasuya,
Hodge theory for twisted differentials,
preprint,
(preprint arXiv:1407.3928v1 [math.DG].)
Books
[22] Daniele Angella,
Cohomological aspects in complex non-Kähler geometry,
Lecture Notes in Mathematics 2095 (2014), ISBN 978-3-319-02440-0,
http://www.springer.com/mathematics/geometry/book/978-3-319-02440-0.
Thesis
[23] Daniele Angella,
Cohomological aspects of non-Kähler manifolds,
Ph.D. Thesis, Università di Pisa, academic year 2011/2012,
date January 21, 2013, advisor prof. Adriano Tomassini (Università di Parma),
http://etd.adm.unipi.it/theses/available/etd-01072013-231626/,
(arXiv:1302.0524 [math.DG].)
Pisa, August 7, 2014
12
Scarica

Angella Daniele - Scuola Normale Superiore