1. No category

Giovanni S. Alberti
Curriculum Vitae
Contact Info Department of Mathematics and Applications
Ecole Normale Sup´erieure
: +33 1 44 32 20 54
45, rue d’Ulm
giovanni.alberti@ens.fr
75005 Paris, France
http://www.math.ens.fr/∼alberti
Personal
Info
Date of Birth: 6th August 1987
Nationality: Italian
Languages: English (fluent), French (fluent), Italian (mother tongue)
Employment
History
Ecole Normale Sup´
erieure
Research
Interests
Partial Differential Equations
9/2014 – current
CNRS Postdoctoral Researcher
Hybrid imaging inverse problems, which combine different aquisition modalities to provide high-contrast and high-resolution images. In particular, I am
interested in the boundary control of solutions to some PDEs to enforce nonzero constraints inside the domain, such as the absence of critical points.
Harmonic Analysis and applications
Multi-dimensional reproducing formulae arising from the metaplectic representation. They give a unified approach to continuous signal analyses, as
those provided by wavelets and shearlets in 2D.
Education
University of Oxford
10/2011 – 8/2014
Doctorate (D.Phil.) in Mathematics
Thesis Supervisor: Dr Yves Capdeboscq
Thesis Title: “On local constraints and regularity of PDE in electromagnetics.
Applications to hybrid imaging inverse problems”
Universit`
a di Genova
9/2009 – 7/2011
Master of Science (M.Sc.) in Mathematics
Thesis Supervisors: Prof Filippo De Mari and Prof Ernesto De Vito
Thesis Title: “Reproducing Subgroups of the Symplectic Group”
Final grade: 110/110 cum laude
Universit`
a di Genova
Bachelor of Science (B.Sc.) in Mathematics
Thesis Supervisor: Prof Enrico Massa
Thesis Title: “La precessione di Thomas”
Final grade: 110/110 cum laude
9/2006 – 7/2009
Publications
Invitations
[8]
G. S. Alberti, H Ammari and K. Ruan, Multi-frequency acoustoelectromagnetic tomography, submitted (2014).
[7]
G. S. Alberti, Enforcing local non-zero constraints in PDEs and applications to hybrid imaging problems, submitted (2014).
[6]
G. S. Alberti and Y. Capdeboscq, A propos de certains probl`emes inverses hybrides, Seminaire: Equations aux D´eriv´ees Partielles. 2013–
´
2014, Exp. No. II. Ecole
Polytech., Palaiseau, 2014.
[5]
G. S. Alberti, On multiple frequency power density measurements II.
The full Maxwell’s equations, submitted (2013).
[4]
G. S. Alberti and Y. Capdeboscq, Elliptic regularity theory applied to
time harmonic anisotropic Maxwell’s equations with less than Lipschitz
complex coefficients, Siam J. Math. Anal., 46(1):998–1016, 2014.
[3]
G. S. Alberti, F. De Mari, E. De Vito and L. Mantovani, Reproducing
subgroups of SP (2, R). Part II: Admissible Vectors, Monatsh. Math.,
173(3):261–307, 2014.
[2]
G. S. Alberti, On multiple frequency power density measurements, Inverse Probl., 29(11):115007, 2013.
[1]
G. S. Alberti, L. Balletti, F. De Mari and E. De Vito, Reproducing
subgroups of SP (2, R). Part I: Algebraic Classification, J. Fourier Anal.
and Appl., 19 (2013), pp. 651-682.
4/2013
´
Ecole
Normale Sup´erieure, Paris
To work with Habib Ammari (1 month).
10/2013 Universit´
e Pierre et Marie Curie, Paris
To work with Yves Capdeboscq (1 week).
12/2013 Universit´
e Pierre et Marie Curie, Paris
To work with Yves Capdeboscq (1 week).
2/2014
Universit´e Pierre et Marie Curie, Paris
To work with Yves Capdeboscq (1 week).
2/2014
Universit`a di Genova
To work with Filippo De Mari and Ernesto De Vito (1 week).
Honours &
Awards
2011 – 2015
2006 – 2009
2006
Talks
1/2013
2/2013
7/2013
EPSRC Doctoral Training Award
INDAM Scholarship
Bronze Medal in the final phase of Italian Mathematical
Olympiad
OxPDE Junior Seminar, Oxford University
MIDA Seminar, Universit`
a di Genova
Applied Inverse Problem Conference, KAIST – Korea
11/2013
1/2014
2/2014
3/2014
5/2014
6/2014
7/2014
7/2014
7/2014
8/2014
10/2014
Posters
2/2012
2/2013
3/2014
5/2014
Graduate Seminar, St Peter’s College – Oxford University
6th South West Regional PDE Winter School, Oxford University
Probl`emes Inverses et Imagerie, Institut Henri Poincar´e – Paris
MACSI Seminar Series, University of Limerick
OxPDE Lunchtime Seminar, University of Oxford
Workshop Imagerie Multi-Ondes, Universit´e Fourier – Grenoble
Young Researchers in Mathematics, University of Warwick
Hybrid imaging and multi-modal imaging, Manchester University
The 10th AIMS Conference on Dynamical Systems, Differential
Equations and Applications, Madrid
Imaging, Multi–scale and high contrast PDEs, NIMS – Korea
Maths for Imaging Seminar, ENS – Paris
February Fourier Talks, University of Maryland
February Fourier Talks, University of Maryland
Set for Britain, House of Commons, UK
Recent progress in mathematical and numerical analysis of inverse
problems, CIRM – Luminy
2013
Admissions – St Peter’s College (University of Oxford)
Assistant during the interviews for undergraduate admission.
2013
2013
College tutor – St Peter’s College (University of Oxford)
Differential equations (Hilary term)
Differential equations (Trinity term)
2011
2012
Teaching assistant – University of Oxford
Banach spaces (Michaelmas term)
Hilbert spaces (Hilary term)
2008
2009
Tutor – Universit`a di Genova
Algebra, geometry and calculus for 1st -year undergraduates.
Physics, probability and calculus for 1st -year undergraduates.
Teaching
Attended
8/2007
Conferences 8/2008
& Workshops 2/2012
2/2012
4/2012
9/2012
9/2012
11/2012
12/2012
2/2013
3/2013
5/2013
INDAM summer school – Incontro borsisti matematica, Perugia
INDAM summer school – Incontro borsisti matematica, Perugia
February Fourier Talks, University of Maryland
5th Oxford University SIAM Student Chapter Conference, Oxford
Oxbridge PDE Days, University of Cambridge
International Conference on Nonlinear PDE, University of Oxford
Free Surface and Interface Problems, University of Oxford
CANPDE Crash Course in PDEs: Genevi`eve Raugel and Sergey
Zelik, Heriot-Watt University
Nonlinear Partial Differential Equations, University of Oxford
February Fourier Talks, University of Maryland
Oxbridge PDE Days, University of Oxford
Applied Analysis for the Material Sciences, CIRM, Luminy
7/2013
9/2013
10/2013
10/2013
10/2013
1/2014
2/2014
3/2014
3/2014
5/2014
6/2014
7/2014
7/2014
7/2014
8/2014
Applied Inverse Problem Conference, KAIST
Three mini courses on applied harmonic analysis, Genova
Clay Research Conference, University of Oxford
New Mathematics Building Opening Conference, Oxford University
S´eminaire Laurent Schwartz - EDP et applications, IHES
6th South West Regional PDE Winter School, Oxford University
Probl`emes Inverses et Imagerie, Institut Henri Poincar´e – Paris
Women in PDEs & Calculus of Variations, Oxford University
Oxbridge PDE Days, University of Cambridge
Recent progress in mathematical and numerical analysis of inverse
problems, CIRM – Luminy
Workshop Imagerie Multi-Ondes, Universit´e Fourier – Grenoble
Young Researchers in Mathematics, University of Warwick
Hybrid imaging and multi-modal imaging, Manchester University
The 10th AIMS Conference on Dynamical Systems, Differential
Equations and Applications, Madrid
Imaging, Multi–scale and high contrast PDEs, NIMS – Korea