Non-Linear Algebra at Max Planck Institute for Mathematics in the Sciences

Non-Linear Algebra at Max Planck Institute for Mathematics in the Sciences The Non-Linear algebra group at MPI Leipzig works on fundamental problems in algebra, geometry and c

Research

The theory, algorithms, and software of linear algebra are familiar tools across mathematics, the applied sciences, and engineering. This ubiquity of linear algebra masks the fairly recent growth of nonlinear algebra in mathematics and its application. The proliferation of nonlinear methods, notably for systems of multivariate polynomial equations, has been fueled by recent theoretical a

dvances, efficient software, and an increased awareness of these tools. This connects to numerous branches in the mathematical sciences, as highlighted in the description of the SIAM Journal of Applied Algebra and Geometry. (http://www.siam.org/journals/siaga.php)

The Nonlinear algebra group at MPI Leipzig works on fundamental problems in algebra, geometry and combinatorics that are relevant for nonlinear models. This involves algebraic geometry (complex and real), commutative algebra, combinatorics, polyhedral geometry, and more. On the applications side, we are especially interested in statistics, optimization and the life sciences.

Join us for the Q***r in Math Day on June 22 at MPI MiS. This one-day conference showcases the work of q***r mathematici...
30/04/2026

Join us for the Q***r in Math Day on June 22 at MPI MiS.
This one-day conference showcases the work of q***r mathematicians and creates a safe space for networking, as well as for sharing advice and experiences. The scientific program is designed to be accessible to a broad mathematical audience.

While the event highlights q***r perspectives in mathematics, everyone is very welcome to attend and learn. As some topics may be sensitive, we kindly ask all participants to be respectful and help us maintain a supportive and safe environment for everyone.

👉Registration is now open until June 8 https://forms.mis.mpg.de/cgi-bin/registration.pl?id=443

👉 Conference Website: www.mis.mpg.de/qimd

Allgemeine Informationen über das Institut wie z.B. Leitbild, Organisationsstruktur, Mitarbeiterverzeichnis, Geschichte, Anfahrtsbeschreibung usw.

"Landau analysis in the Grassmannian" - A new preprint by Benjamin Hollering, Elia Mazzucchelli, Matteo Parisi and Bernd...
27/03/2026

"Landau analysis in the Grassmannian" - A new preprint by Benjamin Hollering, Elia Mazzucchelli, Matteo Parisi and Bernd Sturmfels is online on arXiv!
https://arxiv.org/abs/2603.25454

"Positivity and cluster structures in Landau analysis" - A new preprint by Benjamin Hollering, Elia Mazzucchelli, Matteo...
27/03/2026

"Positivity and cluster structures in Landau analysis" - A new preprint by Benjamin Hollering, Elia Mazzucchelli, Matteo Parisi and Bernd Sturmfels is online on arXiv!
https://arxiv.org/abs/2603.25493

"Dyck paths, configuration spaces and polytopes for linear Nakayama algebras" - A new preprint by Veronica Calvo Cortes ...
23/02/2026

"Dyck paths, configuration spaces and polytopes for linear Nakayama algebras" - A new preprint by Veronica Calvo Cortes and Hadleigh Frost is online on arXiv!
https://arxiv.org/abs/2602.04571

"Distance optimization in the Grassmannian of lines" - A new preprint by Hannah Friedman, Andrea Rosana and  Bernd Sturm...
19/02/2026

"Distance optimization in the Grassmannian of lines" - A new preprint by Hannah Friedman, Andrea Rosana and Bernd Sturmfels is online on arXiv!
https://arxiv.org/abs/2601.22843

Math Planck People - They make Math happen! 📸Hello! My name is Teresa Yu, and I have been a postdoc in the Nonlinear Alg...
04/02/2026

Math Planck People - They make Math happen! 📸

Hello! My name is Teresa Yu, and I have been a postdoc in the Nonlinear Algebra group at the MPI MiS in Leipzig since August 2025. Previously, I was a PhD student at the University of Michigan in Ann Arbor, where my advisor was Andrew Snowden.

I am interested in commutative algebra, especially in applied, computational, and equivariant aspects. My research encompasses a broad range of topics, including algebraic statistics, equivariant modules over infinite polynomial rings, and connections between standard monomial theory and representation theory. Since joining the Nonlinear Algebra group, I have really enjoyed learning about applications of algebra to fields like particle physics, machine learning, and quantum chemistry.

Outside of math, I like reading, hiking, and baking. I have enjoyed exploring Leipzig and Germany, and look forward to seeing more!

✨Meet our at: https://www.mis.mpg.de/news/math-planck-people

Algebraic Geometry for Spin-Adapted Coupled Cluster Theory - A new preprint by Fabian M. Faulstich and Svala Sverrisdótt...
28/01/2026

Algebraic Geometry for Spin-Adapted Coupled Cluster Theory - A new preprint by Fabian M. Faulstich and Svala Sverrisdóttir is online on arXiv!
https://arxiv.org/abs/2601.16646

The workshop "Recent Developments on Lattice Polytopes in Leipzig" at the Max Planck Institute for Mathematics in the Sc...
27/01/2026

The workshop "Recent Developments on Lattice Polytopes in Leipzig" at the Max Planck Institute for Mathematics in the Sciences brought together more than 70 participants from institutions in Austria, Belgium, Canada, Colombia, France, Germany, Greece, Hungary, Japan, Spain, Sweden, and the USA. 🌐

✨ It was an active event with fruitful discussions, including many insightful questions following the talks among early-career and senior researchers. As seen in the figure from the workshop poster, depicting a polytope with its facets opening as doors to various areas of mathematics, the combinatorics of lattice polytopes is a fundamental research topic that extends beyond discrete geometry into many fields. The talks focused on polytopes arising from graphs, matroids, posets, and other combinatorial objects.

This event was financially supported by the Japan Society for the Promotion of Science, the DFG Priority Program SPP "Combinatorial Synergies," and the Max Planck Institute for Mathematics in the Sciences. 🙏

More information: https://www.mis.mpg.de/events/series/recent-developments-on-lattice-polytopes-in-leipzig

Our research group leader Anna-Laura Sattelberger was recently selected to the Young Academy | Mainz, the early-career p...
23/01/2026

Our research group leader Anna-Laura Sattelberger was recently selected to the Young Academy | Mainz, the early-career program of the Academy of Sciences and Literature | Mainz. Her appointment recognizes her outstanding scientific achievements and comes with a four-year membership.

💐 We warmly congratulate her and wish her every success in her work within this exciting interdisciplinary network.

👉 Read more in our Institute News.

Our research group leader Anna-Laura Sattelberger was recently selected to the Young Academy | Mainz, the early-career program of the Academy of Sciences and Literature | Mainz. Her appointment recognizes her outstanding scientific achievements and comes with a four-year membership.

Congratulations 🎊 to Laura Casabella on the successful defense of her PhD dissertation on regular subdivisions at the in...
13/01/2026

Congratulations 🎊 to Laura Casabella on the successful defense of her PhD dissertation on regular subdivisions at the interface of algebraic, tropical, and metric geometry. 🎓 She has now joined Goethe University Frankfurt as a postdoctoral researcher.

Read more in our Institute News

Congratulations to Laura Casabella on the successful defense of her PhD dissertation on regular subdivisions at the interface of algebraic, tropical, and metric geometry. She has now joined Goethe University Frankfurt as a postdoctoral researcher.

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