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Arithmetic topology is an area of mathematics that is a combination of algebraic number theory and topology. It establishes an analogy between number fields and closed, orientable 3-manifolds; and between ideals in the ring of integers and links and knots.
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In mathematics, Hilbert's Nullstellensatz (German for "theorem of zeros," or more literally, "zero-locus-theorem") is a theorem that establishes a fundamental relationship between geometry and algebra. This relationship is the basis of algebraic geometry.
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Questions about hyperbolic polynomials (in a certain direction $e$): multivariate homogeneous polynomials $p(x)$ that satisfy $p(e)>0$ and $t\mapsto p(x-te)$ is real rooted.
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