Carl Schildkraut

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20242026

most citedSemi-Autonomous Mathematics Discovery with Gemini: A Case Study on the Erdős Problems

3 citations · 4 across the 13 of their papers we have counts for

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math.CO2024

More unit distances in arbitrary norms

Josef Greilhuber, Carl Schildkraut, Jonathan Tidor

For $d \geq 2$ and any norm on $R^{d}$ , we prove that there exists a set of $n$ points that spans at least $(\frac{d}{2} - o (1)) n lo g_{2} n$ unit distances under this norm for every…

math.MG2024

Lower bounds for sphere packing in arbitrary norms

Carl Schildkraut

We show that in any $d$ -dimensional real normed space, unit balls can be packed with density at least \[\frac{(1-o(1))d\log d}{2^{d+1}},\] improving a result of Schmidt from 1958 b…