Přehled

Organisation/Company
Czech Technical University in Prague

Research Field
Mathematics » Applied mathematics
Mathematics » Computational mathematics
Engineering » Civil engineering
Engineering » Mechanical engineering
Engineering » Aerospace engineering

Researcher Profile
Recognised Researcher (R2)
Established Researcher (R3)

Country
Czech Republic
Application Deadline
30 Nov 2023 – 23:59 (Europe/Prague)
Type of Contract
Temporary
Job Status
Full-time
Hours Per Week
40
Offer Starting Date
1 Jan 2024
Not funded by an EU programme

Reference Number
Topic #1-5

Offer Description

We are looking for a motivated postdoctoral candidate to join the Open Mechanics Group at Czech Technical University (CTU) to advance solution techniques in structural topology optimization. The position is embedded in the Open Mechanics group led by Jan Zeman, and the candidate will collaborate with Marek Tyburec (Czech Technical University in Prague).

Within this project, the candidate will develop techniques and tools for solving selected topology optimization problems to certified global optimality. The idea of the project rests on exploiting the fact that topology optimization problems can be formulated as a minimization of a polynomial function over a feasible set, generally nonconvex, described by an intersection of a finite number of polynomial inequalities. Recent results in mathematical optimization have shown that, in such cases, the moment-sum-of-squares (Lasserre) hierarchy of outer convexifications enables obtaining certified globally-optimal solutions.

The candidate will explore the application of these recent results in polynomial optimization to address specific topology optimization problems. The focus will be on evaluating the scalability of the proposed method, analyzing and exploiting the problem structure, and establishing convergence guarantees.

Moreover, in addition to the theoretical aspects of the project, we can provide access to conventional additive manufacturing and testing facilities. This would enable the candidate to not only develop innovative designs but also manufacture and validate them.

The candidate is expected to have a strong background and applied mathematics and experience in mathematical optimization.

The list below includes some of the relevant references for the position:

[1] Tyburec M, Zeman J, Kružík M, Henrion D. Global optimality in minimum compliance topology optimization of frames and shells by moment-sum-of-squares hierarchy. Structural and Multidisciplinary Optimization 2021; 64: 1963–1981.

[2] Tyburec M, Kočvara M, Kružík M. Global weight optimization of frame structures with polynomial programming; 2023. arXiv:2211.14066

[3]  Lasserre JB. An Introduction to Polynomial and Semi-Algebraic Optimization. Cambridge University Press, 2015.

Requirements

Mathematics » Applied mathematics
Mathematics » Computational mathematics
Engineering » Civil engineering
Engineering » Mechanical engineering
Engineering » Aerospace engineering
Education Level
PhD or equivalent

Skills/Qualifications

  • Ph.D. degree (obtained not more than 7 years ago or to be obtained soon) in mathematical optimization, structural optimization, computational mechanics, solid mechanics, structural mechanics, or a related field,
  • Co-author of at least 3 papers published in journals with impact factor,
  • Professional proficiency in the English language is required.
  • Specific Requirements
  • Candidates should have a proven background in some or, ideally, all of the following areas:
  • Mathematical optimization,
  • Computational mechanics of materials and structures,
  • Topology optimization,
  • Code development skills, preferably in MATLAB, C++, or a related programming language.

Languages
ENGLISH
Excellent

Internal Application form(s) needed

We offer:

  • Collaboration with Dr. Marek Tyburec and Prof. Jan Zeman.
  • Full appointment for two years.
  • Gross salary of 62K CZK monthly; see the Numbeo database for the cost of living in Prague.
  • An informal and inclusive international working environment at the Department of Mechanics, Faculty of
  • Civil Engineering and the Open Mechanics Group.
  • Office facilities located on the Czech Technical University in Prague’s Dejvice campus. Prague regularly ranks among the top five European cities to live in (cf. Time Out Magazine index for 2022).
  • Full social and health insurance.
  • 30 days of paid annual leave.
  • Children’s corner, kindergarten, and elementary school operated by the Czech Technical University in Prague.
  • Additional benefits such as subsidized meals, yearly benefits supporting recreational and sports activities, as well as health care programs.
  • Relocation assistance via the EURAXESS Czech Republic office.

Eligibility criteria

  • Ph.D. degree (obtained no more than 7 years ago or to be obtained soon) in computational mechanics, solid mechanics, structural mechanics, mechanics of materials, or a related field,
  • Co-author of at least 3 papers published in journals with impact factor,
  • Professional proficiency in the English language is required.

Selection process

Interested candidates are invited to use the provided link to submit their applications:

https://forms.gle/g6DRsEyhXvJVnbJ78

The application package should contain the following:

  • The completed application form available above,
  • Academic curriculum vitae, including a detailed list of publications,
  • A recommendation letter,
  • A motivation letter (up to two pages) stating personal goals and research interests,
  • Date when your Ph.D. was awarded or the expected date of your Ph.D. thesis defense,
  • A copy of or a link to your Ph.D. thesis,
  • A copy of the Ph.D. certificate.

For full consideration, complete applications must be received by 30 November 2023. We reserve the right to disregard incomplete applications.

Applications will be assessed by a committee based on documents sent by applicants. The mentor has a strong vote in the selection process.

Review of applications will begin immediately and will continue no later than 14 December 2023, when the evaluation committee will invite shortlisted candidates to the interview stage (in-person for applicants living in the Czech Republic; remote for all other candidates).

By submitting an application form, the candidate agrees to the processing of personal data for the purposes of the selection procedure following the General Data Protection Regulation (EU) 2016/679 and, in particular, to the distribution of the submitted materials in the electronic form to the members of the selection committee.

Additional comments

Czech Technical University in Prague now offers a new fellowship program, the CTU Global Postdoc Fellowship. This new and attractive two-year fellowship program offers excellent researchers who have recently completed their Ph.D. the chance to continue their research career at CTU. Fellows receive a two-year fellowship and become members of a team led by a mentor. The fellowship primarily aims at external international scientists who are currently conducting research abroad, but national candidates are also eligible.

For more information

About the fellowship program and research topics: please feel free to contact Jan Zeman at jan.zeman@cvut.cz.
About employment conditions or living in Prague: please consult the comprehensive info collected by EURAXESS Czech Republic or contact Eliška Blümlová at eliska.blumlova@fsv.cvut.cz.

Website for additional job details
https://international.cvut.cz/jobs-at-ctu/postdoc/

Work Location(s)
Number of offers available: 1
Company/Institute: Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague
Country: Czech Republic
City: Prague
Postal Code: 16629
Street: Thákurova 7
Where to apply: Website https://forms.gle/g6DRsEyhXvJVnbJ78

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