RESEARCH

Research Interests: Microlocal Analysis, Dispersive Equations, Spectral Theory and Quantum Mechanics

Research Articles

Publications

2)‘On the propagation of isotropic Sobolev singularities’ (with M. Malagutti and A. Parmeggiani). Bruno Pini Mathematical Analysis Seminar (2026).

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

Preprints

6) ‘The metaplectic semigroup with applications to evolution equations generated by non-selfadjoint quadratic
Hamiltonians’. Preprint (2026).

5)‘Schrödinger ultrahyperbolic equations with singular coefficients’ (with C. Garetto). Preprint (2026). arXiv

4)’The metaplectic semigroup and its applications to time-frequency analysis and evolution operators’ (with G. Giacchi and L. Rodino). Preprint (2026). arXiv

3)‘On the microlocal phase-space concentration of Wigner distributions associated with Schrödinger evolutions’ (with G. Giacchi). Preprint (2025). arXiv

2)‘Subelliptic random walks on Riemannian manifolds and their convergence to equilibrium’. Preprint (2025). arXiv

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

Positions

Postdoctoral Researcher, University of Bologna (June ‘26 - May ‘27)

Research Visits

Visiting Researcher at Queen Mary University of London, London (UK). Hosted by: Prof. Claudia Garetto. July ‘26.

Visiting Researcher at Instituto Superior Técnico, Lisbon (Portugal). Hosted by: Prof. João Nuno Prata and Prof. Nuno Costa Dias. June '26.

Visiting Researcher at Queen Mary University of London, London (UK). Hosted by: Prof. Claudia Garetto. February ‘26.

Visiting Researcher at Université Sorbonne Paris Nord, Paris (France). Hosted by: Prof. Francis Nier. January ‘26.

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.

Scientific Activities

Co-Founder of ’ASK - Analysis Seminar 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 organized

‘ASK 2026: Conference in Geometric Analysis and PDEs’ - September 2-4, ‘26 (University of Bologna)

‘New Perspectives on evolution equations and related topics’ - July 13-17, ‘26 (Queen Mary University of London).

‘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).

Invited talks

‘New perspectives on evolution equations and related topics at QMUL - July 13-17, ‘26 (London).

‘Lisbon Young Researcher Seminars’ at Instituto Superior Técnico - June 19, '26 (Lisbon).

XLV Convegno Nazionale di Analisi Armonica Bergamo - May 25-28, '26 (Bergamo)

‘London Maths PhD seminar’ at QMUL - February 27, '26 (London).

‘Anomalies in PDEs 2026’ - February 2-6, '26 (Ferrara).

‘Analysis seminar’ - January 23, '26 (Bordeaux).

‘ADG seminar’ at Institut Henri Poincaré - January 21, '26 (Paris).

‘LAGA Analysis Seminar’ - January 20, '26 (Paris).

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

‘XMaths Workshop 2025’ - December 18-19, '25 (Bari).

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

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

‘Geometry, Analysis and Gravitation seminar’ at QMUL, September 16, '25 (London).

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

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

© DAVIDE TRAMONTANA 2025