nLab David Carchedi (changes)

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• website

Selected writings

On topological stacks and differentiable stacks:

• David Carchedi, Categorical Properties of Topological and Diffentiable Differentiable Stacks, PhD thesis, Universiteit Utrecht, 2011 (dspace:1874/208971, pdf, pdf)

On smooth superalgebras:

• David Carchedi, Dmitry Roytenberg, On Theories of Superalgebras of Differentiable Functions [[arXiv:1211.6134](http://arxiv.org/abs/1211.6134)]

On étale infinity-groupoids:

• David Carchedi, Étale Stacks as Prolongations, Advances in Mathematics Volume 352, 20 August 2019, Pages 56-132 (arXiv:1212.2282)

• David Carchedi, Higher Orbifolds and Deligne-Mumford Stacks as Structured Infinity-Topoi, Memoirs of the American Mathematical Society 2020; 120 (arXiv:1312.2204,ISBN:978-1-4704-5810-2)

• David Carchedi, On The Homotopy Type of Higher Orbifolds and Haefliger Classifying Spaces, Advances of Mathematics, Volume 294, 2016, Pages 756-818 (arXiv:1504.02394)

• David Carchedi, On the étale homotopy type of higher stacks (arXiv:1511.07830)

On derived geometry for Lagrangian field theory in terms of smooth stacks:

• David Carchedi, Derived differential geometry and quantum field theory, talk in the Prague Mathematical Physics Seminar (Dec 2020) [video:YT]

• David Carchedi, Derived differential geometry and the quantization of gauge field theories, talk at Workshop on Supergeometry and Bracket Structures in Mathematics and Physics, Fields Institute (Mar 2022) [video:YT]

On derived smooth manifolds:

• David Carchedi, Pelle Steffens, On the universal property of derived manifolds [[arXiv:1905.06195](https://arxiv.org/abs/1905.06195)]

• David Carchedi, Derived Manifolds as Differential Graded Manifolds [[arXiv:2303.11140](https://arxiv.org/abs/2303.11140)]

On higher orbifolds and Deligne-Mumford stacks as (∞,1)-toposes:

• David Carchedi, Higher Orbifolds and Deligne-Mumford Stacks as Structured Infinity Topoi, Memoirs of the American Mathematical Society 264 1282 (2020) [[doi:10.1090/memo/1282](https://doi.org/10.1090/memo/1282), arXiv:1312.2204]

Related $n$Lab entries

• geometric stack

  • topological stack

  • differentiable stacks