A Ricercatore a Tempo Determinato di tipo A (RTD-A, non-tenured three-year) position, carrying a reduced teaching load, has been announced by the University of Pisa for the study of mathematical methods for climate science.
In the call you can find it classified as MAT05 (Mathematical Analysis) but the research to be done is expected to involve other areas of mathematics and science.
The call can be found here: https://www.unipi.it/ateneo/bandi/ricercat/ricercator/pon/bando-43/index.htm
Website for online application: https://pica.

Prof. Corinna Ulcigrai (University of Zürich) is currently advertising a 2-year postdoc position (possibly +1 year), starting in September 2022 (different starting dates can be negotiated).
The deadline for the applications is January 7, 2022.
The job ad and the link to the job application can be retrieved from the following link: https://w16.math.uzh.ch/ort/?id=open

The Department of Mathematics “G. Peano” of Università di Torino has announced a 1-year postdoctoral fellowship titled “Nontrivial solutions and complex dynamics in nonlinear problems”.
Reference person: Prof. Paolo Caldiroli
Deadline for application: October 25, 2021
Formal announcement (in Italian): https://webapps.unito.it/albo_ateneo/?area=Albo&action=Read_Download&id_attach=43505

A Ricercatore a Tempo Determinato di tipo B (RTD-B, tenure-track 3 year) position in Mathematical Physics has been announced at Università degli Studi Roma Tre
Deadline for application: October 28, 2021
Formal announcement (in Italian and in English): https://www.albopretorionline.it/uniroma/download.aspx?ida=614591&pubb=1&n=1
Annexes (template of application form, etc): https://www.albopretorionline.it/uniroma/download.aspx?ida=614591&pubb=1&n=4

The School of Mathematical Sciences at Tel Aviv University invites applications for a post-doctoral fellowship in symplectic topology and related fields. The School has a strong and diverse geometry and topology group specialising in symplectic geometry and topology, symplectic group actions, mirror symmetry and algebraic geometry, billiards and convexity, dynamics, spectral geometry. The position starts on October 1, 2022. Its duration is two years with a possible extension to the third year.

A Ricercatore a Tempo Determinato di tipo B (RTD-B, tenure-track 3 year) position in Mathematical Physics has been announced at Sapienza Università di Roma.
Deadline for application: September 30, 2021
All info (in Italian): https://web.uniroma1.it/trasparenza/dettaglio_bando/180307

The Mathematics Department at the University of Surrey (UK) is advertising a full-time Research Fellow position on Coupled Quantum-Classical Dynamics.
High quality candidates from Applied Mathematics or Theoretical Physics (or related areas) with familiarity with numerical methods and a solid background in quantum and classical mechanics are particularly sought.
At the basis of measurement theory, the interaction of classical and quantum degrees of freedom has attracted much attention in several other fields, ranging from mathematics to physics and chemistry.

Opening for a 1-year postdoc position at the Department of Mathematics of the University of Pisa on the following topic:
Holomorphic dynamics and complex analysis and geometry, in one and more variables
The instructions for applying can be found here:
https://www.unipi.it/ateneo/bandi/assegni/2021/mat/7ott2021/inglese.pdf
Deadline for application: October 7, 2021 at 1:00 PM.
For any question about the position or the application procedure feel free to e-mail Prof. Marco Abate: marco.abate@unipi.it.

The Department of Mathematics of Università di Bologna has opened a call for two 1-year postdoctoral positions denominated “Starting postdoctoral position in Mathematics and Applications in Sciences, Social Sciences and Engineering”.
The positions are open to all candidates who hold a Ph.D. in Mathematics, Physics, Computer Science, Engineering, Statistics or Economics, with a preference for applicants who have obtained their Ph.D.’s in recent years. They are “open” positions in that all research areas that are currently represented in the Department will be considered (see the announcement for a list of them).

A new PhD position call on the topology of Hamiltonian systems has been advertised by dr Nikolay Martynchuk at the University of Groningen (Netherlands).
More info and application form: www.rug.nl/about-ug/work-with-us/job-opportunities/?details=00347-02S0008GFP
Deadline: August 2,2021
Intended starting date: between November 2021 and March 2022