gabriella pinzari B [email protected] Í https://www.ercprojectpinzari.wordpress.com vitae & studiorum Associate Professor, Department of Mathematics, University of Padova

personal information place and rome, may 21, 1966. date of birth citizenship italian. living rome (italy). residence working padua (italy). residence current position 1/3/2017– Associate Professor, University of Padova (“Chiamata diretta”, reserved to ERC present grantées). education 1986–1990 master in physics, sapienza, university of rome, roma. supervisor: professor g. gallavotti 1992–1996 master in mathematics, sapienza, university of rome, roma. supervisor: professor c. marchioro 2004–2009 PhD, roma tre university, roma. supervisor: professor l. chierchia PhD dissertation title on the kolmogorov set for many–body problems university roma tre, rome year 2009 supervisor professor luigi chierchia (roma tre, rome) report1 professor massimiliano berti (sissa, trieste) report2 professor jacques féjoz (ceremade, paris) judging professor massimiliano berti (sissa, trieste), professor alessandra celletti (tor vergata, rome), committee professor jacques féjoz (ceremade, paris), professor corrado falcolini (roma tre, rome) abstract In my dissertation I obtained a constructive proof of a famous statement by V. I. Arnold about the stability of planetary motions, 1963. The reason of such delay with respect to the initial statement was due to understanding certain degeneracies in the problem, not yet clear at Arnold’s times. A complete, general proof of Arnold’s statement had been obtained in 2004, by M. Herman and J. Féjoz. After their paper, some important questions had remained open yet, concerning the structure of the phase space of the problem, the existence of a non–degenerate normal form for the problem, the measure of the invariant set. Arnold’s initial ideas were based on the application of a sophisticated perturbation theory that Arnold himself had developed in the same paper. My personal contribution started with the rediscovery, that I made during the year 2008, of a symplectic set of canonical coordinates (that I describe in §4 of my thesis), which had been already considered in the 80s by F. Boigey and A. Deprit, but remained substantially unnoticed since then. These coordinates perform explicitly the reduction of rotation invariance of the system. I adapted Boigey–Deprit coordinates to the planetay problem by producing a set of rectangular variables sharing many good properties (regularity, symmetries) with the classical Poincaré coordinates (extensively used in Celestial Mechanics). These new coordinates allowed me to recover Arnold’s design, since they let the system free of its degeneracy. As a consequence, I obtained an explicit measure of the density of stable motions in the planetary problem. The results of my thesis were published in Invent.Math. 2011 and motivated my invitation to give a lecture at the 2014’s ICM, seoul. arXiv source 1309.7028 honors, grants 2014 Invited Speaker to the International Congress of Mathematicians, Seoul (Session no 9 Dynamical Systems) 2015 Awarded of ERC Starting Grant 2015 Project no 677793, “StableChaoticPlanetM, Stable and Chaotic Motions in the Planetary Problem”. 900,000 e 2015 Editor of Springer Monographs in Mathematics 2017 Awarded of FARE project MIUR, Italy (co–funding reserved to ERC grantées) 91.080 e previous positions 10/22/2015– assistant professor (tenure-track), University of Naples “Federico II”. 2/28/2017 2013–2015 assistant professor (non tenure-track), university of napoli federico II, position supported by ERC grant 306414 (p.i. michela procesi). call 2012, italian national scientific qualification, (“abilitazione scientifica nazionale”), as 2013 Associate Professor in Mathematical Physic, valid until 2020. 2012–2013 post-doc, university of roma roma tre, since october, 1st, 2012 to september, 30, 2013. 2011–2012 post-doc, university of roma roma tre, since june, 1, 2011 to may, 31, 2012. 2010–2011 post-doc, university of napoli federico II, since april, 1st, 2010 to march, 31, 2011, position supported by ERC grant 204979 (p.i. massimiliano berti). 2009–2010 post-doc, university of napoli federico II, since march, 1st, 2009 to february, 28, 2010, position supported by ERC grant 204979 (p.i. massimiliano berti). 1990–2004 high school teacher. academic teaching 2017–2018 university of padua, calculus, module I (“analisi I”), for engineering students, 72 hours. 2016–2017 university of napoli federico II, calculus, module I (“analisi I”), for students of natural sciences, 72 hours. 2015–2016 university of napoli federico II, calculus, module II (“analisi II”), for students of chemical engineering, 72 hours. 2014–2015 university of napoli federico II, calculus, module II (“analisi II”), for students of chemical engineering, 72 hours. 2013–2014 university of napoli federico II, calculus, module II (“analisi II”), for students of chemical engineering, 72 hours. 2007–2008 university of roma roma tre, calculus, module I (“analisi I”), for students of physics, 12 hours. 2010–2011 to university of roma tor vergata, master for spacial science and technology for 2013–2014 graduated students (“master di II livello in scienza e tecnologia spaziale”), Class: “classical orbit determination”, 5–10 hours each class. research field and interests my current research fields are: hamiltonian systems, perturbative techniques, celestial mechanics.

some international conferences (as invited speaker) 2019 { New Trends in Celestial Mechanics. Cogne. June 24–28 { Symplectic Dynamics. Lorentz Center, Leiden. April 8–12 { Leaning Tori. Centro di Ricerca Matematica Ennio de Giorgi of the Scuola Normale Superiore in Pisa. May 20–23.

2018 { Hamiltonian systems, from topology to applications through analysis. Mathemati- cal Sciences Research Institute, Bekeley. September 8–October 12. Title of the lecture: Exponential Stability of Euler Integral in the three–body problem

2018 { SPT 2018. Pula (Cagliari) June 3–10. Invited lecture. 2017 { DinAmicI IV: Modern trends in the ergodic theory of dynamical system. Rome, June 5–9 (Organized by C. Bonanno). invited speaker. { CELMEC. international conference on celestial mechanics. san martino al cimino, viterbo, roma.September 3-9. invited speaker. { winter school in conservative dynamics. Engelberg, Switzerland, February 5–11. Organized by the ETH Institute for Theoretical Studies (Organizers: Marcel Giardia, Vadim Kaloshin, Alfonso Sorrentino). Invited lecture.

2016 { The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications. orlando (florida), july 1–5. organizer of special session no 16 “hamiltonian systems and the planetary problem”

2015 { minisymposium on "Celestial Mechanics". Equadiff conference. lyon, july 6-10, 2015.org: v. kaloshin and m. guardia. Invited lecture. { Conference on Dynamical Systems at ICTP, Trieste, which will take place on July 27 - August 07, 2015.org: s. luzzatto, c. yoccoz, m. viana. Invited lecture. { European Women in Mathematics. cortona. august, 31- sept., 4. Invited lecture. { Convegno Umi. Siena, 1-6 Sett.Invited lecture. { hamiltonian systems and celestial mechanics, Oaxaca, Mexico September 6-11, BIRS, workshops. org: e. pereze–chavela, f. diacu, j. libre.Invited lecture.

2014 { Symposium on Mathematical Physics. University of Züric. nov. 10–11. Invited lecture. { Symplectic Techniques in Topology and Dynamics. colonia, germany. september, 22– 26. Invited lecture. { International Congress of Mathematicians. coex, seoul, south corea. august 13–21. Invited lecture. { 10th AIMS conference on dynamical systems, differential equations and applica- tions. madrid, spain. july, 7–11. { spt 2014. cala gonone, sardegna, italy. may 26 – june, 1. Invited lecture.

2013 { Planetary Motions, Satellite Dynamics and Spaceship Orbits. CRM, montreal. canada. july, 22–26. Invited lecture. { New Perspectives on the N–body Problem. BIRS, banff, canada. january, 13–18. Invited lecture.

2012 { Variational Methods in N–body and Vortex Dynamics. june 4–8, 2012. lecce, italy. Invited lecture. 2011 { Dynamical Systems and Classical Mechanics: a Conference in Celebration of Vladimir Arnold 1937 -2010. edinburgh, great britain. october 3–7. Invited lecture. { International Symposium on Orbit Propagation and Determination. lille, france. september, 26–28. Invited lecture. { KAM and Cauchy Theories, napoli, may 21–18. Invited lecture.

2010 { Conference on Celestial Mechanics and Hamiltonian Dynamics. university of maryland, college park (USA). april 15-18. Invited lecture.

2009 { Observatoire de Paris. December 14–18. Invited lecture.

visiting, fellowships, etc. fellowships. 2018 { Invited as a Research Member and Speaker at MSRI, Berkeley, for the semester “Hamiltonian systems, from topology to applications through analysis” August– December 2018

invitations. 2016 { university of barcelona. june. 5–10. invited by m. guardia. Invited lecture.

2014 { university of zurich. nov. 10–11. invited by v. schroeder. Invited lecture.

2010 { university of maryland. april. invited by v. kaloshin. three days. Invited lecture.

2009 { observatoire de paris. december. invited by j. féjoz. one week. Invited lecture.

schools as a lecturer. 2013 { CIRM, luminy, marseille, france. lecturer. eight ours, Invited lecture.

schools as a participant. 2013 { st. etienne de tinée. winter school. one week. february, 3-9. (by l. stolovich)

2012 { school on Variational Methods in N–body and Vortex Dynamics. Università del Salento, (by a. portaluri and s. terracini). may 28–june 1. Invited lecture.

2011 { school Ciclo di Lezioni at milano bicocca university (by v. barurello and v. felli) . february 7–9. Milan, Italy; 2009 { school New Connections Between Dynamical Systems and Hamiltonian PDEs. april–may (by m. berti et al.).

grants (as a participant) 2014–2017 PRIN 2012 (italian national relevance research project). project variational and perturbative aspects of nonlinear differential problems duration 8/3/2014–8/3/2017 funding MIUR (italian ministry of university school and research) p. i. susanna terracini (university of torino)

2013–2016 ERC ideas 2012. project hamiltonian PDEs and small divisor problems: a dynamical system approach (306414) funding european research council p. i. michela procesi (university of roma la sapienza)

2009–2012 ERC starting grant. project Hamiltonian PDEs new connections between dynamical systems and Hamiltonian PDEs with small divisors phenomena (204979) funding european research council p. i. massimiliano berti (sissa, trieste)

2009 prin 2009 (italian national relevance research project). project Critical Point Theory and Perturbative Methods for Nonlinear Differential Equations duration 2008–2012 funding MIUR (italian ministry of university school and research) p. i. susanna terracini (university of torino) students { Jerome Daquin. Since July 1 2018 to present. post–doc Student (Dep. Mathe- matics; University of Padua).

{ Rocio I. Paez. Since July 1 2018 to present. post–doc Student (Dep. Mathematics; University of Padua).

{ Sara Di Ruzza. Since March 1 2018 to present. Researcher (non tenure–track) (Dep. Mathematics; University of Padua).

{ Santiago Barbieri. Since October 1 2017 to present. PhD Student (Dep. Mathe- matics; University of Padua). { Alexandre Pousse. Since November 1 2016 to October 31 2018. post-doc Student (Dep. Mathematics; University of Padua).

{ Edoardo Legnaro. Since March to June 2018. Master (II level) Student (Dep. Mathematics; University of Padua). publications and e-prints { Pinzari, Gabriella. A first integral to the partially averaged Newtonian potential of the three–body problem. arXiv: 1607.03056, 2016.

{ Pinzari, Gabriella. Exponential stability of Euler integral in the three–body problem. arXiv: 1808.07633, 2018.

{ Pinzari, Gabriella. On the co-existence of maximal and whiskered tori in the planetary three-body problem. J. Math. Phys. 59 (2018), no. 5, 052701, 37 pp.

{ Pinzari, Gabriella. Perihelia Reduction and Global Kolmogorov Tori in the Planetary Problem. 2016. Mem. Amer. Math. Soc., 255(1218), 2018.

{ Pinzari, Gabriella. Global Kolmogorov Tori in the Planetary N-Body problem. Announce- ment of Result. Electron. Res. Announc. Math. Sci. 22 (2015), 55–75

{ Pinzari, Gabriella. Canonical Coordinates for the Planetary Problem. 2014. Acta Appl Math (2015) 137:205–232

{ Chierchia, Luigi and Pinzari, Gabriella. Metric stability of the planetary N-body problem. Proceedings of the International Congress of Mathematicians, Coex, Seoul, 2014.

{ Pinzari, Gabriella. Aspects of the planetary Birkhoff normal form. Regul. Chaotic Dyn. 18 (2013), no. 6, 860–906. Special Issue dedicated to Alain Chenciner’s 70th birthday.

{ Chierchia, Luigi and Pinzari, Gabriella . Planetary Birkhoff normal forms. J. Mod. Dyn. 5 (2011), no. 4, 623–664.

{ Chierchia, Luigi and Pinzari, Gabriella . The planetary N-body problem: symplectic foliation, reductions and invariant tori. Invent. Math. 186 (2011), no. 1, 1–77.

{ Chierchia, Luigi and Pinzari, Gabriella . Deprit’s reduction of the nodes revisited. Celestial Mech. Dynam. Astronom. 109 (2011), no. 3, 285–301.

{ Chierchia, Luigi and Pinzari, Gabriella . Properly-degenerate KAM theory (following V. I. Arnold). Discrete Contin. Dyn. Syst. Ser. S 3 (2010), no. 4, 545–578. { Celletti, Alessandra and Pinzari, Gabriella . Dependence on the observational time intervals and domain of convergence of orbital determination methods. Celestial Mech. Dynam. Astronom. 95 (2006), no. 1-4, 327–344.

{ Celletti, Alessandra and Pinzari, Gabriella . Four classical methods for determining planetary elliptic elements: a comparison. Celestial Mech. Dynam. Astronom. 93 (2005), no. 1-4, 1–52.

languages spoken languages italian reading, writing, conversation level: native english reading, writing, conversation level: good programming languages fortran, c++ mathematica

Io sottoscritta Gabriella Pinzari, consapevole delle sanzioni previste dalle Leggi vigenti a carico di chi dichiara il falso, dichiaro sotto la mia personale responsabilità, che quanto dichiarato nel presente Curriculum Vitae corrisponde a verità.

last revised: Dec. 2018 gabriella pinzari