About Me

I am a PhD candidate in Mathematics at TU Berlin, working in the Interactive Optimization & Learning (IOL) lab under the supervision of Prof. Sebastian Pokutta. My research focuses on developing agentic AI systems for mathematical and scientific discovery, with particular attention to the interplay between autonomous reasoning and interactive, human-guided exploration. In parallel, I study foundational questions in optimization theory. Prior to this, I worked on learning-augmented algorithms that incorporate predictive models into classical methods from computational algebra.

Recent Publications

Neural Sum-of-Squares: Certifying the Nonnegativity of Polynomials with Transformers

Nico Pelleriti, Christoph Spiegel, Shiwei Liu, David Martínez-Rubio, Max Zimmer, Sebastian Pokutta

arXiv preprint (under review), 2025

BIB

PDF Code

@article{pelleriti2025neural,
  title={Neural Sum-of-Squares: Certifying the Nonnegativity of Polynomials with Transformers},
  author={Pelleriti, Nico and Spiegel, Christoph and Liu, Shiwei and Mart{\'i}nez-Rubio, David and Zimmer, Max and Pokutta, Sebastian},
  journal={arXiv preprint arXiv:2510.13444},
  year={2025}
}

Approximating Latent Manifolds in Neural Networks via Vanishing Ideals

Nico Pelleriti, Max Zimmer, Elias Wirth, Sebastian Pokutta

International Conference on Machine Learning (ICML), 2025

BIB

PDF Code

@inproceedings{pelleriti2025approximating,
  title={Approximating Latent Manifolds in Neural Networks via Vanishing Ideals},
  author={Pelleriti, Nico and Zimmer, Max and Wirth, Elias and Pokutta, Sebastian},
  booktitle={International Conference on Machine Learning (ICML)},
  year={2025}
}

Computational Algebra with Attention: Transformer Oracles for Border Basis Algorithms

Hiroshi Kera*, Nico Pelleriti*, Yuki Ishihara, Max Zimmer, Sebastian Pokutta

Conference on Neural Information Processing Systems (NeurIPS), 2025

BIB

PDF Code

@inproceedings{kera2025computational,
  title={Computational Algebra with Attention: Transformer Oracles for Border Basis Algorithms},
  author={Kera, Hiroshi and Pelleriti, Nico and Ishihara, Yuki and Zimmer, Max and Pokutta, Sebastian},
  booktitle={Conference on Neural Information Processing Systems (NeurIPS)},
  year={2025},
  note={Equal contribution: Kera and Pelleriti}
}