Didattica a Matematica

Corsi di Laurea in Matematica

DIMA - Dipartimento di Matematica

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Giovanni Alberti Stampa

Informazioni generali e contatti

Dipartimento: DIMA

Ufficio: 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

  1. G. S. Alberti, M. Brown, M. Marletta and I. Wood, Essential spectrum for Maxwell's equations, preprint (2018), arXiv:1804.08952.
  2. R. Alaifari, G. S. Alberti and T. Gauksson, ADef: an Iterative Algorithm to Construct Adversarial Deformations, preprint (2018), arXiv:1804.07729, codes.
  3. G. S. Alberti and M. Santacesaria, Calderón's Inverse Problem with a Finite Number of Measurements, preprint (2018), arXiv:1803.04224.
  4. 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.
  5. 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

  1. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.
  12. 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.
  13. 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)

  1. G. S. Alberti and Y. Capdeboscq, Lectures on elliptic methods for hybrid inverse problems, submitted (2016), SAM Report 2016-46.

Chapters and proceedings

  1. 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.
  2. 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.
  3. 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.
  4. 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

  1. G. S. Alberti, On local constraints and regularity of PDE in electromagnetics. Applications to hybrid imaging inverse problems - DPhil Thesis, University of Oxford, 2014.
  2. G. S. Alberti, Reproducing Subgroups of the Symplectic Group - MSc Thesis, University of Genoa, 2011.