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Geometry and Topology in Contemporary Material Science - International Summer School *POSTPONED until summer 2022/New dates and info pending
Provider: Faculty of Science

Activity no.: 5876-20-11-31
Enrollment deadline: 13/04/2020
PlaceNiels Bohr Institute
Date and timeAugust 2020
Regular seats
ECTS credits5.00
Contact personJulie Meier Hansen    E-mail address: juliemh@nbi.ku.dk
Enrolment Handling/Course OrganiserJacob Judas Kain Kirkensgaard    E-mail address: jjkk@nbi.ku.dk
Written languageEnglish
Teaching languageEnglish
Block noteDuration: 1 week
Course workload
Course workload categoryHours
Preparation / Self-Study75.00
Course hours50.00


This 5 ECTS point course will explore the geometry and topology of ordered cellular patterns such as foams, bicontinuous and polycontinuous forms and nets found in synthetic and biological materials, including:

- Mesoporous silicates
- Metal organic frameworks and coordination polymers
- Amphiphiles, lipids and star polyphiles
- Block copolymers including star miktoarm copolymers

Lectures will emphasise the fundamental structural aspects, with an introduction to the following concepts from modern geometry, crystallography and topology:

- Two-dimensional symmetries and orbifolds
- Graph theory and net embeddings
- Triply-periodic minimal surfaces and related polycontinuous patterns

No specialised mathematical knowledge is assumed, apart from some elementary familiarity with the shape of space, polyhedra and symmetry. The course will introduce students to unifying structural concepts in a range of ordered multi-phase hard/soft materials. We encourage students with theoretical or experimental backgrounds to attend.

The course will familiarise students with open-source software for construction and characterisation of structures from nets to surfaces. Hands-on tutorials will explore the concepts, via models and software.

The course is free to attend, but all travel, accommodation and meals are at participants own expense. A limited number of participants will be chosen from the applicants.

For further details, please go to the website for the course:


Guest lecturers:

Stephen Hyde
University of Sydney, Australia

Gerd Schröder-Turk
Murdoch University, Australia

Myfanwy Evans
TU-Berlin, Germany

Toen Castle
La Trobe University, Australia

Local lecturers:
Martin Cramer Pedersen
Niels Bohr Institute, University of Copenhagen, Denmark

Jacob Kirkensgaard
Department of Food Science, University of Copenhagen, Denmark

*Due to the ongoing situation with COVID-19, this summer school has unfortunately been further postponed until summer 2022. New dates and information re. course description and lecturers will be posted when confirmed.

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