Primus Project
For more information, see the project website:
Our local group:
Faisal Mahmood (Ph.D.)
Shazma Zahid (Ph.D.)
Niel Van Buggenhout (Postdoc)
Myself (P.I.)
Postdoc position
A Postdoc position is available within the framework of the Primus Research Programme "A Lanczos-like Method for the Time-Ordered Exponential" at the Faculty of Mathematics and Physics, Charles University, Prague.
Deadline: February 29, 2024
Offer
The appointment period is one year, with a possible extension till the end of 2025. The Postdoc will start in May 2024. The starting date is negotiable. The project offers an international environment at one of the top universities in the Czech Republic and the oldest university in Central Europe. It will also involve collaboration with international experts from France and Italy.
The position's gross (before tax) salary is 55,000 CZK/month.
Profile of the candidates
We are looking for candidates with a strong background in numerical linear algebra and numerical analysis. In particular, we seek applicants with expertise in matrix equations and Krylov subspace methods. Expertise in the numerical solution of ODEs is also appreciated. Good English writing and speaking skills are required. The applicant must hold a Ph.D. degree by the starting date.
How to apply
Interested candidates should submit the following documents to pozza@karlin.mff.cuni.cz before February 29, 2024:
Curriculum Vitae
Cover Letter explaining motivation and interests
List of publications
A pdf of the Ph.D. thesis (if not available, please get in touch with us at pozza@karlin.mff.cuni.cz)
Two letters of recommendation must be sent to the same email address before the same deadline (February 29, 2024).
Shortlisted candidates will be contacted for an interview (online) in March 2024.
Inclusion
Equality is at the core of our workplace policy. Our team aims to promote a secure and open environment for everyone, regardless of gender identity, sexuality, ethnicity, disability, and neurodiversity. Up to the project resources and capabilities, we aim to remove those obstacles of an economic, cultural, or social nature, which may restrict the full human development of our collaborators, with particular attention to the students.
For any questions, do not hesitate to contact:
Dr. Stefano Pozza,
Email: pozza@karlin.mff.cuni.cz
A Lanczos-like Method for the Time-Ordered Exponential
Solving systems of linear ordinary differential equations with variable coefficients remains a challenge that can be expressed using the so-called time-ordered exponential (TOE). The project aims at developing new numerical approximation methods for very large TOEs. Among their many applications, TOEs can be used for magnetic resonance techniques (NMR, DNP). They require a precise understanding of the quantum dynamics of spins which, mathematically, are described by a TOE. Since large spin systems are still an elusive problem, the success of the project can lead to unprecedented descriptions of NMR/DNP processes. Desired numerical methods will be designed following a recently introduced approach known as *-Lanczos.
The project is funded by the 5th round of the PRIMUS Research Programme, Charles University and it will take place at the Department of Numerical Mathematics, Faculty of Mathematics and Physics, from January 2021 to December 2025.