Doing so, we answer questions first introduced in doi.org/10.1016/j.ce... through a systematic exploration of sign patterns in the associated oriented matroids. The Maple implemtation of this algorithm is available at git.mpi-cbg.de/scholten/fea...

We prove certain 4-species ecological networks cannot achieve stable coexistence, no matter the parameters. The proof uses combinatorial insights from oriented matroid theory to study feasibility/stability constraints algorithmically 🔍

How do you know if species can coexist? The feasible-stable equilibria of Lotka-Volterra systems form semialgebraic sets in parameter space. We recast this using Plücker coordinates & the Grassmannian - opening new computational approaches to ecological networks.

New preprint: We study Lotka-Volterra ecological dynamics through computational algebraic geometry. By encoding feasibility & stability on the real Grassmannian, we prove certain ecological networks are mathematically impossible 🧮🌿 arxiv.org/abs/2509.00165

Seventeen people have already been confirmed killed in Russia’s massive overnight strike on Kyiv, as rescue workers continue searching the rubble. See the aftermath of Moscow’s deadly assault on Ukraine’s capital.
meduza.io/en/feature/2...

🔍 New algorithm finds ALL local minimizers of functions on tensorized domains using only noisy function evaluations!

Combines approximation theory + computer algebra.

Implemented in Julia package GlobTim

#optimization #mathematics #Julia #computeralgebra

New pre-print: Probabilistic algorithm for computing all local minimizers of Morse functions on a compact domain - Archive ouverte HAL

📄 Preprint: hal.science/hal-05160251v1

💻 Julia: github.com/gescholt/Glo...

#Optimization #JuliaLang #ScientificComputing #ComputerAlgebra

🤬 Signs of torture found on most bodies of Ukrainians repatriated from Russian captivity – photo, video

#Communiqué 🗞️ Une équipe de recherche internationale vient de détecter grâce au rover de la NASA Perseverance, des roches qui témoignent d’anciennes circulations d’eau sur Mars. 💧 🚀

👉 www.cnrs.fr/fr/presse/du...

Türkü Özlem Çelik, one of our wonderful new mathematics RGLs here at CSBD

The numerical nonlinear algebra workshop, organized by @math-mpicbg.bsky.social, took place at the @mpicbg.bsky.social from February 3-6, 2025. It featured biology, chemistry, and physics with a focus on nonlinear modeling problems and techniques. News article: www.csbdresden.de/news-events/...

Jiayi Li, a new postdoc here at CSBD

Aida Maraj, a new mathematics group leader here @mpicbg.bsky.social and CSBD

Georgy showing us how he uses polynomial approximations for global optimisation over a compact domain @georgysch.bsky.social