= Noam Elkies
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<Noam Elkies> coauthored work with <Lou M. Pretorius> and <Konrad J. Swanepoel> on finite incidence configurations in projective spaces. Their elementary argument proves the complex <Sylvester-Gallai theorem> dimension bound and extends the problem to <quaternions>.<Sylvester-Gallai Theorems for Complex Numbers and Quaternions by Noam Elkies and others>[Original byline and abstract]{ref}
The project connects elementary incidence questions with the algebra of the scalar field: complex and quaternionic configurations permit different geometry from real ones.
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