On pro-algebraic resolutions of regular schemes:
On smooth ∞-groupoids (called “differentiable stacks”) and the smooth Oka principle:
Adrian Clough, A Convenient Category for Geometric Topology, PhD thesis, UT Austin (2021) [pdf, pdf]
The homotopy theory of differentiable sheaves [arXiv:2309.01757]
Adrian Clough, The Homotopy Theory of Differentiable Sheaves, talk at Workshop on Homotopy Theory and Applications, CQTS (Oct 2023) [video:YT]
On global equivariant homotopy theory and cohesive homotopy theory applicable to differential orbifold cohomology:
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