PhD projects
Publications
- F. Zadra, A. Bravetti, A. A. García-Chung, M. Seri: The flow method for the Baker-Campbell-Hausdorff
formula: exact results. J. Phys. A: Math. Theor. 56 385206 (2023)
[link]
- M. Kluitenberg, D. Roest, M. Seri: Chaotic light scattering around extremal black holes.
Bollettino dell’Unione Matematica Italiana (2023) [link]
- F. Zadra, A. Bravetti, M. Seri: Geometric numerical integration of Liénard systems via a
contact Hamiltonian approach.
Mathematics 2021, 9(16), 1960 (2021) [link]
- A. Bravetti, M. Seri, F. Zadra: New directions for contact integrators.
In: Nielsen F., Barbaresco F. (eds) Geometric Science of Information. GSI 2021. Lecture Notes in Computer
Science, vol 12829. Springer. [link]
- A. Bravetti, M. Seri, M. Vermeeren, and F. Zadra: Numerical integration in celestial mechanics:
a case for contact geometry.
Celestial Mechanics and Dynamical Astronomy, 132 (2020)
[link]
- M. Seri, and T.-C. Kao: OwlDE: making ODEs first-class Owl citizens.
Journal of Open
Source Software, 4(44) (2019) 1812 [link]
- M. Vermeeren, A. Bravetti, M. Seri: Contact variational integrators.
J. Phys. A:
Math. Theor. 52 (2019) 445206 [link]
- D. Prandi, L. Rizzi, and M. Seri: A sub-Riemannian Santaló formula with applications to
isoperimetric inequalities and first Dirichlet eigenvalue of hypoelliptic operators.
J. Differential Geometry 111 (2019) [link]
- D. Prandi, L. Rizzi, and M. Seri: Quantum Confinement On Non-complete Riemannian Manifolds.
Journal of Spectral Theory, Volume 8, Issue 4 (2018) [link]
- A. Knauf, and M. Seri: Symbolic Dynamics of Magnetic Bumps.
Regular and Chaotic Dynamics, Issue 4, Vol. 22 (2017) [link]
- M. Seri, A. Knauf, M. Degli Esposti, T. Jecko: Resonances in the Two-Centers Coulomb
System.
Reviews in Mathematical Physics 28 (2016) [link]
- M. Levitin, M. Seri: Accumulation of complex eigenvalues of an indefinite Sturm-Liouville
operator with a
shifted Coulomb potential.
Operators and Matrices, Volume 10, Number 1 (2016)
[link]
- U. Boscain, D. Prandi, M. Seri: Spectral analysis and the Ahronov-Bohm effect on certain
almost-Riemannian manifolds.
Comm. P.D.E., Issue 1 Vol. 41 (2015)
[link]
- M. Seri: The Problem of Two Fixed Centers: Bifurcation Diagram for Positive Energies.
J. Math.
Phys. 56, 012902 (2015) [link]
- M. Seri, M. Lenci, M. Degli Esposti, G. Cristadoro: Recurrence and higher ergodic properties for
quenched random Lorentz tubes in dimension bigger than two.
J. Stat. Phys. 144 (2011)
[link]
- G. Cristadoro, M. Lenci, M. Seri: Recurrence for quenched random Lorentz tubes.
Chaos
20 (2010) [link]
Preprints
- D. de Neeling, D. Roest, M. Seri, H. Waalkens. Extremal Black Holes as Relativistic Systems with Kepler Dynamics.
[link]
- G. De Nittis, M. Lein, M. Seri: A Magnetic Pseudodifferential Calculus for Operator-Valued and Equivariant Operator-Valued Symbols
[link]
Also on my
arXiv profile page.
Books
- H. Broer, M. Seri, F. Takens: Oscillations: swings and vibrations from a mathematical viewpoint. In preparation. [link to current draft]
- M. Seri (ed.): Exploring Haskell - Core concepts. Manning, March 2019 ISBN 978-1617296772
[link]
Other works
- M. Seri: Resonances in the two centers Coulomb system.
PhD Thesis (09.2012) [link
- link on ub
Erlangen]
- P. Gmeiner, M. Seri: The Classical KAM Theory.
In: Oberwolfach Reports (OWR), vol. 9
(2012) [link]
- P. Gmeiner, M. Seri: Surprising Simple Geometries [link]
(talk slides in German: Ueberraschende Geometrie und Fraktale [link]).
Project for the Tag der Mathematik in Erlangen (10.03.2012). Reduced version published by
Mathematics in School, vol. 44, no. 3, 2015, pp. 25–30.
- M. Seri, F. Tümel: Poisson Limit Law for Dynamical Systems.
Project for the
International Summer School on Dynamical Systems in Göttingen (2011) [link]
- M. Seri: The Boltzmann-Sinai Conjecture, a sketch of the proof.
In: Oberwolfach
Reports (OWR), vol. 7 (2010) [link]
- M. Seri: Recurrence of quenched random Lorentz tubes and related questions.
In:
Oberwolfach Reports (OWR), vol. 7 (2010) [link]
Still something more
- M. Seri: Analisi spettrale del laplaciano magnetico sulle superfici modulari.
MSc
Thesis (2008) [link]
- M. Seri: Appunti sulla Trasformata di Legendre.
Personal notes (2008) [link]
- M. Seri: Sui Numeri.
Project for the exam 'Storia della Matematica' (2008) [link]
- M. Seri: Sugli Insiemi Numerici.
Project for the exam 'Algebra Superiore I' (2008)
[link]
- M. Seri: A walk through quantum charged particle in a (constant) magnetic field.
Project for the exam 'Introduzione alle meccaniche superiori' (2007) [link]
- M. Seri, A. Venturini Barazzuol: PSFrac, ovvero “chi ha detto che non si sbircia tra i frattali
con gli occhi del Post Script?”.
Project for the exam 'Complementi di informatica'
(2006) [link]
- M. Seri: Irrazionali quadratici, frazioni continue e flussi geodetici chiusi sulla superficie
modulare.
BSc Thesis (2006) [link]