How IBM is searching for quantum advantage in differential equations
Q & A
Robert Davis
Mathematical Sciences
Our long history of research has had an enduring impact on computer science, operations research, and information theory. We’re currently focused on optimization, probability, complexity, geometry of data, as well as linear and multi-linear algebra, to deliver tools that are fundamental to big data and AI.
Our work
The fast Fourier transform, how and why it works
ExplainerPeter HessRenowned mathematician Subhash Khot joins IBM Research
NewsMike MurphyCan quantum computers model nature’s most turbulent systems?
ExplainerRyan MandelbaumThe quest to teach LLMs how to count
ResearchKim MartineauHow IBM Research first demonstrated the revolutionary Cooley-Tukey FFT
NewsPeter Hess- See more of our work on Mathematical Sciences
Publications
The SQInstructor: a guide to SQIsign and the Deuring Correspondence with level structures
- Giacomo Borin
- Luca De Feo
- et al.
- 2026
- CRYPTO 2026
Conference paperTransformer Circuits Can Realize Clustering Algorithms
- 2026
- ICML 2026
Conference paperData valuation model for non-monetary exchanges
- Julia Blyumen
- Eitan Farchi
- 2026
- arXiv
PaperUnsupervised Cycle Detection in Agentic Applications
- Felix George
- Divya Pathak
- et al.
- 2026
- ICPE 2026
Short paperMomentum-Accelerated Structured Preconditioning for Physics-Informed Neural Networks
- Indra Priyadarsini S
- Onur Boyar
- et al.
- 2026
- ICLR 2026
Workshop paperMitigating the curse of detail: Scaling arguments for feature learning and sample complexity
- Noa Rubin
- Orit Davidovich
- et al.
- 2026
- ICLR 2026
Conference paper