Thanks to my thesis advisor and co-author, I have a finite Erdős number: 6. Not so small, but something.
According to MathSciNet's calculator, here's the path:
| Craig J. Hogan | coauthored with | Mark G. Jackson | MR2550649 |
| Mark G. Jackson | coauthored with | Brian R. Greene | MR1935717 |
| Brian R. Greene | coauthored with | Shing-Tung Yau | MR1059826 |
| Shing-Tung Yau | coauthored with | Fan Chung | MR1779780 |
| Fan Chung | coauthored with | Paul1 Erdős | MR0889356 |
MathSciNet doesn't have all the papers; in particular, it doesn't have the two that I wrote with Craig Hogan, so there's a chance my Erdős number is smaller
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