Thematic Einstein Semester on

Geometric and Topological Structure of Materials

Summer Semester 2021


Myfanwy Evans (U Potsdam)
Kathryn Hess Bellwald (EPFL)
Frank H. Lutz (TU Berlin)
Dmitriy Morozov (LBNL)
Ileana Streinu (Smith College)


This Thematic Einstein Semester, devoted to recent developments in the field of computational materials science, brings together experts from the sciences with experts from computational topology, computational algebraic, discrete differential and stochastic geometry working on the structure and function of materials.

Physical properties of materials are governed to a large extent by their microstructure, on which various geometric and topological analyses can be performed to identify essential structural properties. This leads to improvements in production processes or to new designs of materials with controlled properties:

The semester is organized within the framework of the Berlin Mathematics Research Center MATH+ and supported by the Einstein Foundation Berlin.

Opening Event

April 13 + 14, 2021, Titles and Abstracts

Thematic Days

April 22, 2021, Thematic Day 1, Applied Facets of Geometry and Topology, Titles and Abstracts

May 6, 2021, Thematic Day 2, Cellular Materials, Titles and Abstracts

May 20, 2021, Thematic Day 3, Stochastic Geometry and Materials, Titles and Abstracts

May 26, 2021, Thematic Day 4, Topological Data Analysis, Titles and Abstracts

June 10, 2021, Thematic Day 5, Algebraic Geometry and Framework Materials, Titles and Abstracts

June 24, 2021, Thematic Day 6, Topological Ideas in Applications, Titles and Abstracts

July 1, 2021, Thematic Day 7, Modelling and Structure, Titles and Abstracts

July 2, 2021, MATH+ Friday Colloquium

Thematic Mini-Conferences

September 21 + 22, 2021, Thematic Mini-Conference, Stochastic Topology, Titles and Abstracts

September 28 + 29, 2021, Thematic Mini-Conference, Computational Topology and Machine Learning, Titles and Abstracts

Semester courses for local students

Discrete and Computational Topology,   Frank H. Lutz   (TU Berlin)
Discrete Geometrie II,   Matthias Beck   (FU Berlin)
Discrete Geometry III,   Michael Joswig   (TU Berlin)
Geometry, Topology and Applications,   Myfanwy Evans   (U Potsdam)
Mathematical Visualization: The Symmetries of Things,   John M. Sullivan   (TU Berlin)
Zellulare Materialien   Francisco Garcia-Moreno   (Helmholtz-Zentrum Berlin / TU Berlin)

External Activities

April 26-30, 2021, Topological Data Analysis, IMSI

(organized by Brittany Fasy (Montana), Kathryn Hess (EPFL), Matthew Kahle (Ohio State), Sayan Mukherjee (Duke), Jose Perea (Michigan State))

May 4--11, 2021, Hot Topics: Topological Insights in Neuroscience, MSRI

(organized by Carina Curto (Penn State U), Chad Giusti (U Delaware), Kathryn Hess (EPFL), Ran Levi (U Aberdeen))

May 20--21, 2021, Interdisciplinary Workshop Mathematics, Materials Science & Design: The Geometry & Topology behind Fabrics at Multiple Scales

(organized by Sonia Mahmoudi (Tohoku U) and the Tohoku University Advanced Institute for Materials Research)

May 31 -- June 2, 2021, Workshop on Software and Applications of Numerical Nonlinear Algebra, MPI MIS

(organized by Paul Breiding, Taylor Brysiewicz, Simon Telen (MPI MIS Leizig) and Sascha Timme (TU Berlin))


MATH+ Collegiality Statement