Snapshots of Modern Mathematics

Snapshots of modern mathematics from Oberwolfach, ISSN 2626-1995, explain mathematical problems and ideas of present relevance in an accessible and understandable way. They provide exciting insights into current topics of the mathematical community for everyone who is interested in modern mathematics, although varying in difficulty.

The snapshots are written by participants of the scientific program at the MFO, who volunteer to explain an important aspect of their research. A team of editors selects the manuscripts that are most suitable for a broad readership and assists the authors in communicating complicated matters to a broad audience. In some cases, the authors are asked to submit their manuscript to a journal for more advanced readers. The MFO publishes the snapshots for free download under a Creative Commons license here and on the IMAGINARY platform.

The snapshot project is designed to promote the understanding and appreciation of modern mathematics and mathematical research in the interested public world-wide. The targeted readership consists of mathematics teachers, science journalists, undergraduate and advanced high school students. If you are interested in writing a snapshot, please contact the organizers of the program in which you are participating.

Editors' choice

No. 6/2019: Counting self-avoiding walks on the hexagonal lattice

by Hugo Duminil-Copin

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In how many ways can you go for a walk along a lattice grid in such a way that you never meet your own trail? In this snapshot, we describe some combinatorial and statistical aspects of these so-called self-avoiding walks. In particular, we discuss a recent result concerning the number of self-avoiding walks on the hexagonal (“honeycomb”) lattice. In the last part, we briefly hint at the connection to the geometry of long random self-avoiding walks.

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