The homotopy category of flat modules, and Grothendieck duality

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How researchers see this paper

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Approximations and adjoints in homotopy categories (2010, methodology): “The other half of the recollement has been established in [32].”
Hereditary abelian model categories (2015, methodology): “With this in mind, Neeman showed in [51] that K(Proj) is equivalent to D(Flat), the derived category of all flat modules.”
Exact model categories, approximation theory, and cohomology of quasi-coherent sheaves (2013, methodology): “In view of [65, §3] Neeman proves in [57, Theorems 8.6 and 5.9] that (C(Proj-R),W) is a complete cotorsion pair in C(Flat-R) generated by a set S as in Theorem 5.16 and that C(Proj-R) ∩W = Cac(Proj-R).”
On exact categories and applications to triangulated adjoints and model structures (2010, background): “However, Neeman [50, 51] and Murfet [47] recently constructed right adjoints to inclusion functors C֌ D where C typically was not well generated, see [59, Theorem 5.”
Deconstructibility and the Hill Lemma in Grothendieck categories (2010, background): “We aim to establish easy to use yet strong enough properties which cover a considerable part of technicalities tackled in the recent work of Gillespie, Estrada, Guil Asensio, Murfet, Neeman, Prest, Trlifaj and others; we refer to [13, 16, 17, 18, 23, 26, 29, 28].”