Paul Breiding

Professor Für Mathematik

Osnabrück, Lower Saxony, Germany
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Summary

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Senior
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Top School
Paul Breiding is a Professor of Mathematics and leader of an Emmy Noether research group, with over a decade of experience developing high-performance algorithms at the intersection of AI, tensor analysis, and numerical algebraic geometry. He has authored 42 international publications, won the SIAG/AG Early Career Prize, and secured competitive funding (DFG, EU) to build interdisciplinary teams and mentor PhD students and postdocs. As the creator and maintainer of HomotopyContinuation.jl, he has delivered a state-of-the-art open-source tool widely used for numerically solving polynomial systems in ML and scientific computing. His work blends deep theoretical insight with practical software engineering, making algebraic methods tractable for real-world AI and simulation problems. Based in Osnabrück, Germany, he combines academic leadership with hands-on open-source development, often translating abstract geometry into scalable algorithms.
code9 years of coding experience
bookDr. rer. nat., Mathematics, Dr. rer. nat., Mathematics at Technische Universität Berlin
bookMaster, Mathematics, Master, Mathematics at Georg-August-Universität Göttingen
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Github Skills (50)

continuation10
polynomials10
nonlinear-algebra10
julia10
numerical9
computer-algebra9
row9
reaction9
factorization9
systems-biology9
differential-equations8
symbolic-computation8
biology8
discrete-mathematics8
simulation8

Programming languages (4)

JuliaC++JavaScriptJupyter Notebook

Github contributions (5)

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Contributions:22 commits, 13 pushes in 1 month
PBrdng/StochIng-WiSe-20-21

Oct 2020 - Jan 2024

Contributions:56 pushes, 1 branch in 3 years 3 months
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Paul Breiding - Professor Für Mathematik