= John Douglas Moore
{c}
<John Douglas Moore> studies <differential geometry> and geometric analysis. His UCSB research page describes work on minimal surfaces and related variational problems.https://web.math.ucsb.edu/~moore/researchinterests.html[Author research statement]{ref}
His <Lecture Notes on Seiberg-Witten Invariants by John Douglas Moore> develop gauge-theoretic methods for four-manifolds. The treatment of <Hodge theory> connects the curvature of a line-bundle connection with its harmonic representative: analytic equations select distinguished representatives of topological classes. This provides a bridge from differential equations to invariants of smooth manifolds.<Lecture Notes on Seiberg-Witten Invariants by John Douglas Moore>[Section 1.9, pp. 42–45]{ref}
\Image[https://web.math.ucsb.edu/~moore/dougmoore.jpg]
{title=John Douglas Moore}
{description=Portrait identified by the linked primary author or institutional profile.}
{source=https://web.math.ucsb.edu/~moore/}
{width=220}
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