Konrad Plato

Konrad Plato

I currently work on (approximately) solving large-scale PDE-constrained optimization problems using dynamic programming and physics-informed neural networks. This brings together many of my research interests, which include but are not limited to: Continuous (convex) optimization, Stochastics, Control Theory, Numerics of PDEs, and (Scientific) machine learning.

Contact

office
Room 3027 at ZIB
e-mail
languages
German, English, Polish, and Spanish

Curriculum vitae

since 2026
Researcher at ZIB
since 2023
Member of BMS
2023 to 2026
Researcher at TUB
Dec 2020
M.Sc. in Mathematics at TUB
Mar 2017
B.Sc. in Business Mathematics at TUB

Publications and preprints

Preprints and reports

  1. Mundinger, K., Zimmer, M., and Pokutta, S. (2024). Neural Parameter Regression for Explicit Representations of PDE Solution Operators. [arXiv]
    [BibTeX]
    @misc{2024_MundingerZimmerPokutta_Neuralparameterregression,
      archiveprefix = {arXiv},
      eprint = {2403.12764},
      arxiv = {arXiv:2403.12764},
      primaryclass = {cs.LG},
      author = {Mundinger, Konrad and Zimmer, Max and Pokutta, Sebastian},
      title = {Neural Parameter Regression for Explicit Representations of PDE Solution Operators},
      date = {2024-03-19}
    }
  2. Geiselmann, Z., Joswig, M., Kastner, L., Mundinger, K., Pokutta, S., Spiegel, C., Wack, M., and Zimmer, M. (2026). Limits of combinatorial patchworking. [arXiv]
    [BibTeX]
    @misc{2026_ZoeEtAl_Patchworkedcurves_2602-06888,
      archiveprefix = {arXiv},
      eprint = {2602.06888},
      arxiv = {arXiv:2602.06888},
      primaryclass = {math.AG},
      author = {Geiselmann, Zoe and Joswig, Michael and Kastner, Lars and Mundinger, Konrad and Pokutta, Sebastian and Spiegel, Christoph and Wack, Marcel and Zimmer, Max},
      title = {Limits of combinatorial patchworking},
      date = {2026-02-06}
    }

Conference contributions

  1. Geiselmann, Z., Joswig, M., Kastner, L., Mundinger, K., Pokutta, S., Spiegel, C., Wack, M., and Zimmer, M. (2027). Fast Isotopy Computation for T-Curves. Mathematical Software – ICMS 2026, 16677. To appear. Associated with ICMS 2026. [URL] [arXiv]
    [BibTeX]
    @inproceedings{2026_ZoeEtAl_Isotopytcurves_2604-09221,
      year = {2027},
      booktitle = {Mathematical Software – ICMS 2026},
      series = {Lecture Notes in Computer Science},
      volume = {16677},
      publisher = {Springer Science+Business Media},
      note = {To appear},
      url = {https://icms-conference.org/2026/papers/paper32/main.pdf},
      archiveprefix = {arXiv},
      eprint = {2604.09221},
      arxiv = {arXiv:2604.09221},
      primaryclass = {math.AG},
      author = {Geiselmann, Zoe and Joswig, Michael and Kastner, Lars and Mundinger, Konrad and Pokutta, Sebastian and Spiegel, Christoph and Wack, Marcel and Zimmer, Max},
      title = {Fast Isotopy Computation for T-Curves}
    }
  2. Pelleriti, N., Mundinger, K., Zimmer, M., and Pokutta, S. (2026). Zero: A Meta-Agent for Mathematical Research. Accepted at The Sixth Workshop on Mathematical Reasoning and AI @ NeurIPS 2026.
    [BibTeX]
    @misc{2026_PelleritiMundingerZimmerPokutta_Zero,
      howpublished = {Accepted at The Sixth Workshop on Mathematical Reasoning and AI @ NeurIPS 2026},
      year = {2026},
      author = {Pelleriti, Nico and Mundinger, Konrad and Zimmer, Max and Pokutta, Sebastian},
      title = {Zero: A Meta-Agent for Mathematical Research}
    }
  3. Pelleriti, N., Mundinger, K., Zimmer, M., and Pokutta, S. (2026). Zero: A Meta-Agent for Mathematical Research. Accepted at First Workshop on Meta Agents: Managing Agents That Manage Agents @ NeurIPS 2026.
    [BibTeX]
    @misc{2026_PelleritiMundingerZimmerPokutta_Zero:1,
      howpublished = {Accepted at First Workshop on Meta Agents: Managing Agents That Manage Agents @ NeurIPS 2026},
      year = {2026},
      author = {Pelleriti, Nico and Mundinger, Konrad and Zimmer, Max and Pokutta, Sebastian},
      title = {Zero: A Meta-Agent for Mathematical Research}
    }
  4. Mundinger, K., Zimmer, M., Kiem, A., Spiegel, C., and Pokutta, S. (2025). Neural Discovery in Mathematics: Do Machines Dream of Colored Planes? Proceedings of the 42nd International Conference on Machine Learning, 267, 45236–45255. Associated with ICML 2025. [URL] [arXiv]
    [BibTeX]
    @inproceedings{2025_MundingerZimmerKiemSpiegelPokutta_NeuralDiscovery,
      year = {2025},
      booktitle = {Proceedings of the 42nd International Conference on Machine Learning},
      series = {Proceedings of Machine Learning Research},
      volume = {267},
      month = jul,
      pages = {45236--45255},
      url = {https://proceedings.mlr.press/v267/mundinger25a.html},
      archiveprefix = {arXiv},
      eprint = {2501.18527},
      arxiv = {arXiv:2501.18527},
      primaryclass = {cs.LG},
      author = {Mundinger, Konrad and Zimmer, Max and Kiem, Aldo and Spiegel, Christoph and Pokutta, Sebastian},
      title = {Neural Discovery in Mathematics: Do Machines Dream of Colored Planes?}
    }
  5. Mundinger, K., Zimmer, M., and Pokutta, S. (2024). Neural Parameter Regression for Explicit Representations of PDE Solution Operators. Accepted at ICLR 2024: AI4DifferentialEquations in Science. [URL] [arXiv]
    [BibTeX]
    @misc{2024_MundingerZimmerPokutta_Neuralparameterregression:1,
      howpublished = {Accepted at ICLR 2024: AI4DifferentialEquations in Science},
      year = {2024},
      month = mar,
      url = {https://openreview.net/forum?id=6Z0q0dzSJQ},
      archiveprefix = {arXiv},
      eprint = {2403.12764},
      arxiv = {arXiv:2403.12764},
      primaryclass = {cs.LG},
      author = {Mundinger, Konrad and Zimmer, Max and Pokutta, Sebastian},
      title = {Neural Parameter Regression for Explicit Representations of PDE Solution Operators}
    }
  6. Mundinger, K., Pokutta, S., Spiegel, C., and Zimmer, M. (2024). Extending the Continuum of Six-Colorings. Discrete Mathematics Days 2024, 20, 178–183. Associated with DMD 2024. [URL] [arXiv]
    [BibTeX]
    @inproceedings{2024_MundingerPokuttaSpiegelZimmer_SixcoloringsExpansion:1,
      year = {2024},
      booktitle = {Discrete Mathematics Days 2024},
      series = {Obras Colectivas Ciencias},
      volume = {20},
      publisher = {Editorial Universidad de Alcalá},
      pages = {178--183},
      url = {https://dmd2024.web.uah.es/files/abstracts/paper_27.pdf},
      archiveprefix = {arXiv},
      eprint = {2404.05509},
      arxiv = {arXiv:2404.05509},
      primaryclass = {math.CO},
      author = {Mundinger, Konrad and Pokutta, Sebastian and Spiegel, Christoph and Zimmer, Max},
      title = {Extending the Continuum of Six-Colorings}
    }

Articles, chapters and books

  1. Mundinger, K., Pokutta, S., Spiegel, C., and Zimmer, M. (2024). Extending the Continuum of Six-Colorings. Geombinatorics, XXXIV(1), 20–29. [URL] [arXiv]
    [BibTeX]
    @article{2024_MundingerPokuttaSpiegelZimmer_SixcoloringsExpansion,
      year = {2024},
      date = {2024-07-01},
      journal = {Geombinatorics},
      month = jul,
      volume = {XXXIV},
      number = {1},
      pages = {20--29},
      url = {https://geombina.uccs.edu/past-issues/volume-xxxiv},
      archiveprefix = {arXiv},
      eprint = {2404.05509},
      arxiv = {arXiv:2404.05509},
      primaryclass = {math.CO},
      author = {Mundinger, Konrad and Pokutta, Sebastian and Spiegel, Christoph and Zimmer, Max},
      title = {Extending the Continuum of Six-Colorings}
    }

Projects

NeuCurves MATH+ EF-LiOpt-1
Neural Generative Models for Algebraic Curves

This project aims to apply neural generative models to real plane algebraic curves to advance the classification of M-curves, a problem from Hilbert's 16th problem that remains open for degree ≥8.

NeuCurves MATH+ EF-LiOpt-1
Aug 2025 to Jul 2028
5
2

TRR-154 A05 DFG SFB/TRR 154 259087942
Decomposition Methods for Mixed-Integer Optimal Control

This project studies domain decomposition approaches for optimal control in gas transport networks, coupling space-time-domain decomposition with machine learning and mixed-integer programming. It develops NeTI (Network Tearing and Interconnection), a data-driven and physics-informed algorithm combining mixed-integer nonlinear programming, surrogate model learning, and graph decomposition strategies.

TRR-154 A05 DFG SFB/TRR 154 259087942
Jan 2022 to Jun 2026
6
3

Talks and posters

Research seminar talks

Feb 2025
Neural Networks for Unsupervised Discovery of Plane Colorings by Konrad Plato
IOL Research Seminar (IOL), Berlin
May 2024
Learning Operators via Hypernetworks by Konrad Plato
NASPDE Seminar, Berlin

Poster presentations

Jul 2025
Neural Discovery in Mathematics: Do Machines Dream of Colored Planes? by Konrad Plato and Max Zimmer
42nd International Conference on Machine Learning (ICML), Vancouver
May 2024
Neural Parameter Regression for Explicit Representations of PDE Solution Operators by Konrad Plato
ICLR 2024: AI4DifferentialEquations in Science (ICLR), Vienna

Events

Jun 2026
Geometrische Färbungen: Das Hadwiger-Nelson Problem (part of LNdW 2026), Berlin
Jul 2025
42nd International Conference on Machine Learning (ICML), Vancouver
Jun 2025
Geometrische Färbungen: Das Hadwiger-Nelson Problem (part of LNdW 2025), Berlin
May 2025
7th DOxML Conference, Kyoto
Jun 2024
Ein Bild, unendliche Welten: Von Gemälden bis Galaxien (part of LNdW 2024), Berlin
summer 2024
Analysis 1 and Linear Algebra for Engineers, Berlin
May 2024
12th International Conference on Learning Representations (ICLR), Vienna
May 2024
ICLR 2024: AI4DifferentialEquations in Science (ICLR), Vienna
Apr 2023
MATH+ TES 2023: Exploring synergies: Machine Learning Meets Physics & Optimization, Berlin
winter 2020
Analysis II for Engineers, Berlin
winter 2018
Analysis II for Engineers, Berlin

Teaching

summer 2024
Teaching Assistant for Analysis 1 and Linear Algebra for Engineers at TUB
winter 2020
Tutor for Analysis II for Engineers at TUB
summer 2020
Tutor for Probability Theory at TUB
winter 2019
Tutor for Analysis and Linear Algebra for Engineers at TUB
summer 2019
Tutor for Probability Theory at TUB
winter 2018
Tutor for Analysis II for Engineers at TUB
summer 2018
Tutor for Analysis I for Engineers at TUB

Organization and outreach