Some adjoints in homotopy categories

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Torsion pairs in silting theory (2016, unknown): “(3) Following the arguments in [Neeman 2010, Proposition 1.4], we have that if V is a cosuspended and preenveloping (respectively, suspended and precovering) subcategory of T , then the inclusion of V in T has a left (respectively, right) adjoint.”
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, methodology): “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].”