I am interested in the foundations of mathematics (building an automatic mathematical research system), the foundations of theoretical physics (interpretation of quantum mechanics and statistical physics), and in applied mathematics of all sorts (from protein folding to cattle breeding to uncertainty modeling in space system design).
I wrote books on topics in finite geometry, numerical analysis, and Lie algebras (different ones for each of these subjects).
On the foundations and interpretation of quantum physics:
Arnold Neumaier, Introduction to coherent spaces, (arXiv:1804.01402)
Arnold Neumaier, Coherent Quantum Physics: A Reinterpretation of the Tradition, 1st edition, De Gruyter (2019) [ISBN:9783110667295, doi:10.1515/9783110667387]
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