Space Curve Arrangements with Many Incidences

Joshua Zahl
Massachusetts Institute of Technology

In 2010, Guth and Katz proved that if a collection of N lines in R^3 contained more than N^{3/2} 2-rich points, then many of these lies must lie on planes or reguli. I will discuss some generalizations of this result to space curves in R^3. This is joint work with Larry Guth.

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