Andrea Merlo

Born in Valdobbiadene (TV, Italy), 01/08/1992.

Education and Positions

  1. Ikerbasque research fellow, 2024-present. Tenure Track at Universidad del País Vasco.
  2. Marie Skłodowska-Curie postdoctoral fellowship at Universidad del País Vasco, 2022-2024.
    Supervisor: Mihalis Mourgoglou.
  3. Post-doc at Université de Fribourg, 2022.
    Supervisor: Enrico Le Donne.
  4. Post-doc at Université Paris-Saclay, 2020-2022.
    Supervisor: Guy David.
  5. PhD in Mathematics at Scuola Normale Superiore, cum Laude, 2016-2020. Dissertation: "Geometry of 1-codimensional measures in Heisenberg groups".
    Supervisors: Giovanni Alberti, Roberto Monti.
  6. Scuola Galileiana di Studi Superiori at University of Padua, Italy. 100/100 cum Laude, 2011-2017.
    Dissertation: "Geometry of uniform measures in the Heisenberg group". Supervisor: Roberto Monti.
  7. MSc in Mathematics at University of Padua, Italy. 110/110 cum Laude, 2014-2016. Dissertation: "Non-differentiability sets of typical Lipschitz functions".
    Supervisors: Roberto Monti, David Preiss.
  8. Erasmus Program at University of Warwick, 2015-2016.
  9. BSc in Mathematics at University of Padua, Italy. 110/110 cum Laude, 2011-2014. Dissertation: "Struttura di insiemi di misura nulla".
    Supervisor: Roberto Monti.

Teaching

  1. Teaching assistant to the course Analysis 3 at the University of Pisa, Winter semester 2018-2019.
  2. Tutor for the 107th orientation course of the Scuola Normale Superiore, held in Rome, July 8-13, 2019.
  3. Tutor for the course of Analysis II at Université de Fribourg, Spring semester 2021-2022.

Selected Talks

  1. Geometry of uniform measures in the Heisenberg group, XXVIII Convegno nazionale di calcolo delle variazioni, Levico Terme, February 12-16, 2018.
  2. Geometry of uniform measures in Heisenberg groups, A sub-Riemannian day in Padova, Padova, September 14, 2018.
  3. Geometry of 1-codimensional measures in Heisenberg groups, Seminar at the Universidad Autónoma de Barcelona, Barcelona, February 25, 2019.
  4. Some extensions of the Frobenius Theorem, Part I, Some topics of Geometric Analysis and Geometric Measure Theory, Pisa, April 16-17, 2019.
  5. The Marstrand-Mattila rectifiability criterion in Carnot groups, Workshop on Geometric Measure Theory, Alba di Canazei, June 26-29, 2019.
  6. Preiss's rectifiability theorem in the first Heisenberg group, Seminar at University of Warwick, online, March 4, 2021.
  7. Preiss's rectifiability theorem in the first Heisenberg group, Jyväskylä Geometric Analysis Seminar, online, March 22, 2021.
  8. The Marstrand-Mattila rectifiability criterion in Carnot groups, Geometric Measure Theory and applications, Cortona, August 30-September 3, 2021.
  9. Endpoint Fourier restriction and unrectifiability, Seminar in Bilbao Analysis and PDEs, online, October 14, 2021.
  10. The density problem in the parabolic space, Interactions between Geometric measure theory, Singular integrals, and PDE, Bonn, 13-19 March 2022.
  11. On the density problem in Heisenberg groups, First UMI meeting of Ph.D. students, Padova, 26-27 May 2022.
  12. On the converse of Pansu's Theorem, Geometric measure theory and analysis on metric spaces, Warwick, 8-10 August 2022.
  13. On the converse of Pansu's Theorem, Seminar at the Universidad Autónoma de Barcelona, May 2023.
  14. Carnot rectifiability and Alberti representations, Geometric Measure Theory in Bressanone, 29 May-2 June 2023.
  15. Carnot rectifiability and Alberti representations, Nordic congress of mathematicians, Aalborg, 2-7 July 2023.
  16. On the converse of Pansu's Theorem, Frontiers in Sub-Riemannian Geometry, 25-29 November 2023, CIRM, Marseille.
  17. On the converse of Pansu's Theorem, OxPDE Lunchtime Seminar in Oxford, 15 May 2023.

Organization of Scientific Meetings

  1. Co-Organizer, International Conference on Harmonic Analysis, PDEs, and Geometric Measure Theory, Bilbao, 12-16 June 2023.

Grants and Awards

  1. 2024, Reserve List: ERC STG grant.
  2. 2022-2024, Grant. Marie Skłodowska Curie Action, European Union’s research and innovation programme Horizon 2022. Grant agreement number 101065346.
  3. 2023, Prize. Premio Gioacchino Iapichino, for a young mathematician author of a work, published or unpublished, in the field of mathematical Analysis, of the "Accademia Nazionale dei Lincei".
  4. 2023, Prize. Premio Indam-Umi-Simai, for the best PhD thesis in mathematics discussed in an Italian university in the previous 3 years.
  5. 2022, Prize. Premio Guido Stampacchia relative to the theme "Calculus of Variations", of the "Accademia di Scienze Fisiche e Matematiche della Società Nazionale di Scienze, Lettere e Arti" in Naples.