RESEARCH

Research Interests: Microlocal Analysis, Spectral Theory, Dispersive Equations and Semiclassical Analysis.

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) Subelliptic Random Walks on Riemannian Manifolds and Their Convergence to Equilibrium. Preprint (2025). ArXiv

2) 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. September ‘25.

Visiting graduate student at Northwestern University,
Evanston (Illinois). Mentor: Prof. Jared Wunsch. September ‘24 - November ‘24.

3. Scientific Activities

Co-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.

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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

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

Invited talks

Geometry, Analysis and Gravitation seminar, Queen Mary University of London, September 16, '25 (London).

ECR seminar, University College London, September 12, '25 (London).

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