Real-oriented homotopy theory and an analogue of the Adams–Novikov spectral sequence

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The C2–spectrum Tmf1(3) and its invertible modules (2015, background): “The theory has its origins in Atiyah’s article [Ati66] on Real Ktheory and came to new prominence through the work of Hu–Kriz [HK01] and the work of Hill–Hopkins–Ravenel on the Kervaire Invariant One problem [HHR09].”
Galois equivariance and stable motivic homotopy theory (2014, background): “Kriz [27] and the case p = 2 of the following theorem is [27, Corollary 6.”
On the nonexistence of elements of Kervaire invariant one (2009, methodology): “It is a result of Hu-Kriz[16] that (4.12) is in fact an isomorphism.”