Research Lab
My group works on Artificial Intelligence, Optimization, and Machine Learning; from foundational algorithms to real-world systems. We develop new optimization and learning methods with a focus on efficiency and sustainability, combine learning with decision-making, and build agentic AI systems for complex tasks. A particular focus is on AI4Science and AI4Math, where we use AI to drive mathematical discovery and scientific insight. Recent examples include global forest monitoring from satellite data, entanglement certification via optimization, new constructions in extremal combinatorics, AI-assisted mathematical proofs, and AI for creativity and education. group homepage more about research and projects
TL;DR. We use computers to learn from data and make better decisions.
ETC. Hashed Commitments AI News
Prospective Students. If you are interested in working in our group or writing your MS/BS thesis please check our openings.
Select Recent Papers
(see publications for a complete list)
- Khoruzhii, K., Gelß, P., and Pokutta, S. (2026). Tensor Decomposition for Non-Clifford Gate Minimization. Preprint. [arXiv] compalgquantum
- Geiselmann, Z., Joswig, M., Kastner, L., Mundinger, K., Pokutta, S., Spiegel, C., Wack, M., and Zimmer, M. (2026). Patchworked Curves of Degree Seven. Preprint. [arXiv] ai4mathalggeomcombinatoricscompalg
- Halbey, J., Deza, D., Zimmer, M., Roux, C., Stellato, B., and Pokutta, S. (2026). Lower Bounds for Frank-Wolfe on Strongly Convex Sets. Preprint. [arXiv] complexityfwlowerboundsopt
- Berthold, T., Kamp, D., Mexi, G., Pokutta, S., and Pólik, I. (2026). Global Optimization for Combinatorial Geometry Problems Revisited in the Era of LLMs. To Appear in Proceedings of ISCO, Lecture Notes in Computer Science. [arXiv] computationalllmnlpopt
- Xiao, W., Besançon, M., Gelß, P., Hendrych, D., Klus, S., and Pokutta, S. (2026). Graph Isomorphism: Mixed-Integer Convex Optimization from First-Order Methods. To Appear in Proceedings of CPAIOR. [arXiv] computationalgraphsmipopt
- Haase, J., and Pokutta, S. (2026). The Hidden Cost of Tokenization: Why (most) Non-English Speakers Pay More for Less. Preprint. [arXiv] fairnessllmmlmultilingual
- Pelleriti, N., Spiegel, C., Liu, S., Martínez-Rubio, D., Zimmer, M., and Pokutta, S. (2026). Neural Sum-of-Squares: Certifying the Nonnegativity of Polynomials with Transformers. To Appear in Proceedings of the International Conference on Learning Representations (ICLR). [arXiv] ai4mathcompalgml
- Zimmer, M., Roux, C., Wagner, M., Hendrych, D., and Pokutta, S. (2025). SparseSwaps: Tractable LLM Pruning Mask Refinement at Scale. Preprint. [arXiv] llmmlpruningsparsity
- Wagner, M., Roux, C., Zimmer, M., and Pokutta, S. (2025). A Free Lunch in LLM Compression: Revisiting Retraining after Pruning. Preprint. [arXiv] llmmlpruningsparsity
- Roux, C., Zimmer, M., d’Aspremont, A., and Pokutta, S. (2025). Don’t Be Greedy, Just Relax! Pruning LLMs via Frank-Wolfe. Preprint. [arXiv] fwllmmloptpruningsparsity
- Gonnermann-Müller, J., Haase, J., Fackeldey, K., and Pokutta, S. (2025). FACET: Teacher-Centred LLM-Based Multi-Agent Systems – Towards Personalized Educational Worksheets. Preprint. [arXiv] educationhaiillmmlmultiagent
- Haase, J., and Pokutta, S. (2025). Beyond Static Responses: Multi-Agent LLM Systems as a New Paradigm for Social Science Research. Preprint. [arXiv] haiimlsocial
- Abbas, A., Ambainis, A., Augustino, B., Bärtschi, A., Buhrman, H., Coffrin, C., Cortiana, G., Dunjko, V., Egger, D. J., Elmegreen, B. G., Franco, N., Fratini, F., Fuller, B., Gacon, J., Gonciulea, C., Gribling, S., Gupta, S., Hadfield, S., Heese, R., … Zoufal, C. (2024). Quantum Optimization: Potential, Challenges, and the Path Forward. Nature Reviews Physics. [PDF] [arXiv] optphysicsquantumsurvey
Select Recent Talks and Teaching
(see archive for a complete list)
- 03/2026: (technical) “Efficient Quadratic Corrections for Frank-Wolfe Algorithms”. Talk at MLaftermath Workshop (Berlin, Germany). [slides]
- 02/2026: (technical) “How Machines Explore, Conjecture, and Discover Mathematics”. Talk at Munich AI Lecture (Munich, Germany). [slides]
- 02/2026: (technical) “Neural Discovery in Mathematics: Do Machines Dream of Colored Planes?”. Talk at HKBU Computer Science Seminar Series (Hong Kong). [slides]
- 02/2026: (technical) “Algorithmic and geometric aspects of alternating linear minimization”. Talk at PolyU Applied Mathematics Seminar Series (Hong Kong). [slides]
- 01/2026: (technical) “How Machines Explore, Conjecture, and Discover Mathematics”. Talk at NUS CQF Seminar (Singapore). [slides]
- WS/2025: Discrete Optimization and Machine Learning (seminar)
Recent Blog Posts
- 03/2026: The Agentic Researcher
- 03/2026: The Box You Can’t Open Twice: Newcomb’s Paradox Through Four Mathematical Lenses
- 03/2026: Do LLM Outputs Mirror Their Internal Semantic Maps? A Large-Scale Behavioral Probing Study
- 12/2025: Between Theory and Reality: How Schools Grapple with Heterogeneity and Where AI Fits
- 12/2025: SCIP Optimization Suite 10.0: Exact Solving, Better Decompositions, and a More Productive Ecosystem
Select Outreach
(see archive for a complete list)
- 11/2024: El aprendizaje automático ayuda a atacar problemas matemáticos clásicos (Machine learning helps attack classical mathematical problems). El Pais: Café y teoremas. (Newspaper (Spanish))
- 11/2024: Zukunftsforum KI. IHK Berlin. (Panel Discussion (German))
- 10/2021: Improve the World with Maths?. Humboldt Forum: Discourse, Science and Humanities. (Talk + Discussion (German))
- 05/2021: Durch KI verhandene Ressourcen effizienter nutzen. Aufbruch Ausgabe 28. (Interview (German))
- 12/2020: Folge 7: „Trendsetter Internet? Angstmacher KI? Folgen der Digitalisierung“. Brain City Berlin. (Podcast (German))
News
(see archive for a complete list)
- 01/2026: Kartikey Sharma accepted an Assistant Professor position in the Mechanical Engineering Department at IIT Delhi. Congratulations!
- 10/2025: Our book on Conditional Gradients and Frank-Wolfe methods has been published in the MOS-SIAM Series on Optimization.
- Fall 2025: Sai Ganesh Nagarajan started a Tenure Track Assistant Professor Position at the Department of Mathematics and Computer Science (IMADA), Southern Denmark University, Odense, Denmark. Congratulations!
- Summer 2025: Sébastien Designolle started an Inria Starting Faculty Position in the QINFO group based at the École Normale Supérieure in Lyon. Congratulations!
- 06/2025: Together with Gioni Mexi, Deborah Hendrych, Sébastien Designolle, and Mathieu Besançon, we won the Land-Doing MIP Computational Competition 2025.