DAVIDE TRAMONTANA

Hi! I am Davide Tramontana, a PhD student
in Mathematics at the University of Bologna, 
under the supervision of Prof. Alberto Parmeggiani.
I am particularly interested in problems that originate from the interplay between geometry, physics and mathematical analysis.
I am involved in different projects, all of which roughly intersect in the area of propagation 
of singularities.

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TEACHING 


2025-2026 


  • Teaching assistant for the course ‘Analisi Matematica’, Corso di Laurea Triennale in Astronomia, University of Bologna. Instructor: Prof. Alberto Parmeggiani.


2024 - 2025

  • Teaching assistant for the course ‘Analisi Superiore ed EDP’, Corso di Laurea Magistrale in Matematica,University of Bologna. Instructor: Prof. Alberto Parmeggiani.
2023 - 2024


  • Teaching assistant for the course ‘Analisi Superiore ed EDP’, Corso di Laurea Magistrale in Matematica,University of Bologna. Instructor: Prof. Alberto Parmeggiani.

  • Teaching assistant for the course ‘Analisi Superiore e Geometria Differenziale’, Corso di Laurea Magistrale in Matematica, University of Bologna. Instructor: Prof. Loredana Lanzani.
2022 - 2023

  • Teaching assistant for the course ‘Analisi Matematica 1 A – Classe A-L’, Corso di Laurea Triennale in Matematica, University of Bologna. Instructor: Prof. Giovanni Cupini.

  • Teaching assistant for the course ‘Analisi Matematica 1 A – Classe M-Z’, Corso di Laurea Triennale in Matematica, University of Bologna. Instructor: Prof. Giovanni Cupini.

  • Teaching assistant for the course ‘Analisi Matematica 1 B’, Corso di Laurea Triennale in Matematica, University of Bologna. Instructor: Prof. Giovanni Dore.



Last Updated 01.05.2025

RESEARCH



Research Interests: Analysis of PDEs, Microlocal Analysis, Spectral Theory, Dispersive Equations and Fluid Dynamics.

1. Research Articles

Publications


1) ‘Propagation of Shubin-Sobolev singularities of 
Weyl-quantizations of complex quadratic forms’ 
(with M.Malagutti and A. Parmeggiani). Mathematische Annalen (2025). arXiv


Preprints

1) ‘On the Microlocal Phase-Space Concentration of Schrödinger Evolutions’ (with G. Giacchi). Preprint (2025). arXiv

2) ‘Subelliptic Random Walks on Riemannian Manifolds and Their Convergence to Equilibrium’. Preprint (2025). arXiv

3) ‘Smoothing effect for third order operators with variable coefficients’ (with S. Federico). Preprint (2025). arXiv



2. Research Visit
  • Visiting Researcher at Queen Mary University of London, London (UK). Hosted by: Prof. Claudia Garetto. November ‘25.

  • Visiting Researcher at Queen Mary University of London, London (UK). Hosted by: Prof. Claudia Garetto. September ‘25

  • Visiting graduate student at Northwestern University, Evanston (Illinois). Mentor: Prof. Jared Wunsch. September ‘24 - November ‘24.
3. Scientific ActivitiesCo-Founder of ’ASK - Analysis Students Kernel’

ASK is a group of young researchers in Mathematical Analysis and Probability at the University of Bologna, founded in 2024 with the aim of sharing their research through periodic seminars. 

Find more

Conferences and Worskhop organized

  • ‘ASK Conference 2024: Interaction between different areas of Mathematical Analysis and Probability’ 
    December 18-20,’24 (University of Bologna).

  • ‘Symposium in Harmonic and Complex Analysis, Microlocal and Geometrical Analysis and Applications, for PhD students (SHaCAMIGA)’ January 24-26,’24 (University of Bologna).


Future events

  • Organizer of the Conference ‘New Perspectives on Evolution Equations and Related Topics’ - July 13-17, '26 (Queen Mary University of London).


  • Participant in the Conference ‘MAMA26: Modern Applications of Microlocal Analysis’ - February 16-20, '26 (London).


  • Invited Speaker at Anomalies in PDEs 2026 - February 2-6, '26 (Ferrara).


  • Invited Speaker at ‘Analysis seminar’ - January 23, '26 (Bordeaux).


  • Invited Speaker at ‘ADG seminar’ - January 21, '26 (Paris).


  • Invited Speaker at ‘LAGA Analysis Seminar’ - January 20, '26 (Paris).

  • Invited Speaker at ‘5th Young Researchers Workshop in Harmonic Analysis’ - January 14-16, '26 (Torino).

  • Invited Speaker at XMaths Workshop 2025 - December 18-19, '25 (Bari).

  • Invited Speaker at ‘Bruno Pini Mathematical Analysis Seminar’ - December 11, '25 (Bologna).




Invited talks


  • Invited Speaker at Junior Analysis Seminar at Imperial College - November 5, '25 (London).

  • Invited speaker at ‘Geometry, Analysis and Gravitation seminar’, Queen Mary University of London, September 16, '25 (London). 

  • Invited speaker at ‘ECR seminar’, University College London,  September 12, '25 (London).

  • Invited speaker at ‘15th ISAAC Congress International Society for Analysis, its Applications and Computation’ - July 21-25, '24 (Astana).



Conferences and Schools attended

  
  • ‘Semiclapp: Semiclassical analysis and applications’ – May 13-17, ’24 (Nice).

  • ‘Dispersion and Geometry in Padova’ - May 06-07, ’24 (Padova).

  • ‘Modern Aspects of Analysis on Lie Groups’ - April 02-05, ’24 (G ̈ottingen)

  • ‘Pseudo-Differential Operators and Related Topics’ – January 29 – February 02, ’24 (Ghent).

  • ‘More Anomalies in Partial Differential Equations’ – September 17-22, ’23 (Bertinoro).

  • ‘Spectral theory and geometry of ergodic Schr ̈odinger operators’ - July 31 - August 04 ’23, (Potsdam).

  • ‘Harmonic Analysis, PDEs, and GMT in Bilbao 2023’ - June 12-16, ’24 (Bilbao).

© DAVIDE TRAMONTANA 2025