Giovanni Alberti
Informazioni generali e contatti
Dipartimento:
DIMAUfficio: 913
Orario di ricevimento: su appuntamento
Telefono: +39 010 353 6913
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Homepage:
http://www.dima.unige.it/~alberti/Insegnamenti
Insegnamenti precedenti
A.A 2018/2019
Curriculum
- Assistant Professor in Mathematical Analysis (RTDA), 2016-current, University of Genoa
- ETH Zürich Postdoctoral Fellow, 2016-2016, ETH Zürich
- Postdoc, 2015-2016, ETH Zürich
- Postdoc, 2014-2015, École Normale Supérieure, Paris
- DPhil Mathematics, 2011-2014, University of Oxford
- BSc+MSc Mathematics, 2006-2011, University of Genoa
Full CV
Pubblicazioni
Preprints
- G. S. Alberti, M. Brown, M. Marletta and I. Wood, Essential spectrum for Maxwell's equations, preprint (2018), arXiv:1804.08952.
- R. Alaifari, G. S. Alberti and T. Gauksson, ADef: an Iterative Algorithm to Construct Adversarial Deformations, preprint (2018), arXiv:1804.07729, codes.
- G. S. Alberti and M. Santacesaria, Calderón's Inverse Problem with a Finite Number of Measurements, preprint (2018), arXiv:1803.04224.
- G. S. Alberti, H. Ammari, F. Romero and T. Wintz, Dynamic Spike Super-resolution and Applications to Ultrafast Ultrasound Imaging, preprint (2018), arXiv:1803.03251, codes.
- G. S. Alberti and M. Santacesaria, Infinite dimensional compressed sensing from anisotropic measurements and applications to inverse problems in PDE, preprint (2017), arXiv:1710.11093.
Journal Articles
- G. S. Alberti, Hölder regularity for Maxwell's equations under minimal assumptions on the coefficients, Calc. Var. Partial Differential Equations, 57(3), 71, 2018, DOI:10.1007/s00526-018-1358-2, arXiv:1604.03741, premio "Gioacchino Iapichino" per l'Analisi Matematica 2017.
- G. S. Alberti, G. Bal and M. Di Cristo, Critical Points for Elliptic Equations with Prescribed Boundary Conditions, Arch. Rational Mech. Anal., 226(1), 117–141, 2017, DOI:10.1007/s00205-017-1130-3, arXiv:1611.06989.
- G. S. Alberti, S. Dahlke, F. De Mari, E. De Vito and S. Vigogna, Continuous and discrete frames generated by the evolution flow of the Schrödinger equation, Analysis and Applications, 15(6), 915–937, 2017, DOI:10.1142/S021953051750004X, arXiv:1510.04547.
- G. S. Alberti, H. Ammari, F. Romero and T. Wintz, Mathematical Analysis of Ultrafast Ultrasound Imaging, SIAM J. Appl. Math., 77(1), 1–25, 2017, DOI:10.1137/16M107102X, arXiv:1604.04604.
- G. S. Alberti and H. Ammari, Disjoint sparsity for signal separation and applications to hybrid inverse problems in medical imaging, Appl. Comput. Harmon. Anal., 42(2), 319–349, 2017, DOI:10.1016/j.acha.2015.08.013, arXiv:1502.04540.
- G. S. Alberti, H. Ammari, B. Jin, J.-K. Seo and W. Zhang, The Linearized Inverse Problem in Multifrequency Electrical Impedance Tomography, SIAM J. Imaging Sci., 9(4), 1525–1551, 2016, DOI:10.1137/16M1061564, arXiv:1602.04312.
- G. S. Alberti, Absence of Critical Points of Solutions to the Helmholtz Equation in 3D, Arch. Rational Mech. Anal., 222(2):879–894, 2016, DOI:10.1007/s00205-016-1013-z, arXiv:1507.00647.
- G. S. Alberti, Enforcing local non-zero constraints in PDEs and applications to hybrid imaging problems, Comm. PDE, 40(10):1855–1883, 2015, DOI:10.1080/03605302.2015.1050733, arXiv:1406.3248.
- G. S. Alberti, On multiple frequency power density measurements II. The full Maxwell's equations, J. Differ. Equations, 258(8):2767–2793, 2015, DOI:10.1016/j.jde.2014.12.028, arXiv:1311.7603.
- 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, DOI:10.1007/s00605-013-0542-x, arXiv:1212.2743.
- 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, DOI:10.1137/130929539, arXiv:1307.0350.
- G. S. Alberti, On multiple frequency power density measurements, Inverse Probl., 29(11):115007, 2013, DOI:10.1088/0266-5611/29/11/115007, arXiv:1301.1508.
- 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., 19:651–682, 2013, DOI:10.1007/s00041-012-9255-0, arXiv:1109.6789.
Book(s)
- G. S. Alberti and Y. Capdeboscq, Lectures on elliptic methods for hybrid inverse problems, submitted (2016), SAM Report 2016-46.
Chapters and proceedings
- G. S. Alberti, S. Dahlke, F. De Mari, E. De Vito and H. Führ, Recent Progress in Shearlet Theory: Systematic Construction of Shearlet Dilation Groups, Characterization of Wavefront Sets, and New Embeddings, in Frames and Other Bases in Abstract and Function Spaces, Appl. Numer. Harmon. Anal., 127–160, 2017, DOI:10.1007/978-3-319-55550-8_7, arXiv:1605.02873.
- G. S. Alberti and Y. Capdeboscq, On local non-zero constraints in PDE with analytic coefficients, in Imaging, Multi-scale and High Contrast Partial Differential Equations, Contemp. Math., vol. 660, AMS Providence, RI, 2016, pp. 89–97, DOI:10.1090/conm/660/13260, arXiv:1501.01449.
- G. S. Alberti, H. Ammari and K. Ruan, Multi-frequency acousto-electromagnetic tomography, in A Panorama of Mathematics: Pure and Applied, Contemp. Math., vol. 658, AMS Providence, RI, 2016, pp. 67–79, DOI:10.1090/conm/658/13132, arXiv:1410.4119.
- G. S. Alberti and Y. Capdeboscq, A propos de certains problèmes inverses hybrides, Seminaire: Equations aux Dérivées Partielles. 2013–2014, Exp. No. II. École Polytech., Palaiseau, 2014, DOI:10.5802/slsedp.50.
Dissertations
- G. S. Alberti, On local constraints and regularity of PDE in electromagnetics. Applications to hybrid imaging inverse problems - DPhil Thesis, University of Oxford, 2014.
- G. S. Alberti, Reproducing Subgroups of the Symplectic Group - MSc Thesis, University of Genoa, 2011.