@misc{cockett2019tangent,
  title = "Tangent Categories from the Coalgebras of Differential Categories",
  author = "Robin Cockett and Jean-Simon Pacaud Lemay and Rory B. B. Lucyshyn-Wright",
  year = "2019",
}
@misc{cockett2019reverse,
  title = "Reverse derivative categories",
  author = "Robin Cockett and Geoffrey Cruttwell and Jonathan Gallagher and Jean-Simon Pacaud Lemay and Benjamin MacAdam and Gordon Plotkin and Dorette Pronk",
  year = "2019",
}
@misc{lemay2019exponential,
  title = "Exponential Functions in Cartesian Differential Categories",
  author = "Jean-Simon Pacaud Lemay",
  year = "2019",
}
@misc{cockett2019differential,
  title = "Differential equations in a tangent category I: Complete vector fields, flows, and exponentials",
  author = "J. R. B. Cockett and G. S. H. Cruttwell and J. -S. P. Lemay",
  year = "2019",
}
@article{cruttwell2019integral,
  title = "Integral and differential structure on the free $ C\^{}$\{$$\backslash$infty$\}$ $-ring modality",
  author = "Cruttwell, GSH and Lemay, J-SP and Lucyshyn-Wright, RBB",
  year = "2019",
  journal = "arXiv preprint arXiv:1902.04555",
}
@article{lmcs:5895
  TITLE = {{Lifting Coalgebra Modalities and $\mathsf{MELL}$ Model Structure to
  Eilenberg-Moore Categories}},
  author = "Lemay, Jean-Simon Pacaud",
  year = "2019",
  journal = "{Logical Methods in Computer Science}",
  keywords = "Computer Science - Logic in Computer Science",
  month = "Nov",
  url = "https://lmcs.episciences.org/5895",
  volume = "{Volume 15, Issue 4}",
}
@article{Blute2019,
  title = "Differential Categories Revisited",
  author = "Blute, R. F. and Cockett, J. R. B. and Lemay, J.-S. P. and Seely, R. A. G.",
  year = "2019",
  issn = "1572-9095",
  journal = "Applied Categorical Structures",
  month = "Jul",
  url = "https://doi.org/10.1007/s10485-019-09572-y",
  doi = "10.1007/s10485-019-09572-y",
}
@inproceedings{10.1007/978-3-030-17127-8_19,
  title = "Higher-Order Distributions for Differential Linear Logic",
  author = "Kerjean, Marie and Pacaud Lemay, Jean-Simon",
  year = "2019",
  address = "Cham",
  booktitle = "Foundations of Software Science and Computation Structures",
  editor = "Boja{\'{n}}czyk, Miko{\l}aj and Simpson, Alex",
  isbn = "978-3-030-17127-8",
  pages = "330--347",
  publisher = "Springer International Publishing",
}
@article{cockett_lemay_2019,
  title = "Integral categories and calculus categories",
  author = "J. Robin B. Cockett and Jean-Simon Pacaud Lemay",
  year = "2019",
  journal = "Mathematical Structures in Computer Science",
  number = "2",
  pages = "243-308",
  publisher = "Cambridge University Press",
  url = "https://www.cambridge.org/core/journals/mathematical-structures-in-computer-science/article/integral-categories-and-calculus-categories/EA37ABD31DFFD8190D3092C05194B62E",
  volume = "29",
  doi = "10.1017/S0960129518000014",
}
@unpublished{kerjean:hal-01969262,
  title = "{Higher-order distributions for differential linear logic.}",
  author = "Kerjean, Marie and Lemay, Jean-Simon",
  year = "2019",
  month = "Jan",
  note = "working paper or preprint",
  url = "https://hal.inria.fr/hal-01969262",
}
@article{PACAUDLEMAY2019,
  title = "Differential algebras in codifferential categories",
  author = "Jean-Simon Pacaud Lemay",
  year = "2019",
  issn = "0022-4049",
  journal = "Journal of Pure and Applied Algebra",
  keywords = "Differential categories, Differential algebras, Hurwitz series rings, Faà di Bruno formula",
  url = "http://www.sciencedirect.com/science/article/pii/S0022404919300131",
  doi = "https://doi.org/10.1016/j.jpaa.2019.01.005",
}
@article{lemay2018lifting,
  title = "Lifting Coalgebra Modalities and $$\backslash$mathsf $\{$MELL$\}$ $ Model Structure to Eilenberg-Moore Categories",
  author = "Jean{-}Simon Pacaud Lemay",
  year = "2018",
  journal = "arXiv preprint arXiv:1804.11116",
  url = "https://arxiv.org/abs/1804.11116v2",
}
@article{blute2018differential,
  title = "Differential Categories Revisited",
  author = "Richard F. Blute, J. Robin B. Cockett, R.A.G. Seely, and Jean-Simon Pacaud Lemay",
  year = "2018",
  journal = "arXiv preprint arXiv:1806.04804",
  url = "https://arxiv.org/abs/1806.04804v1",
}
@article{lemay2018convenient,
  title = "Convenient Antiderivatives For Differential Linear Categories",
  author = "Jean{-}Simon Pacaud Lemay",
  year = "2018",
  journal = "arXiv preprint arXiv:1808.08513",
  url = "https://arxiv.org/abs/1808.08513v1",
}
@inproceedings{DBLP:conf/rta/Lemay18,
  title = "Lifting Coalgebra Modalities and {IMELL} Model Structure to Eilenberg-Moore Categories",
  author = "Jean{-}Simon Pacaud Lemay",
  year = "2018",
  booktitle = "3rd International Conference on Formal Structures for Computation and Deduction, {FSCD} 2018, July 9-12, 2018, Oxford, {UK}",
  pages = "21:1--21:20",
  url = "https://doi.org/10.4230/LIPIcs.FSCD.2018.21",
  doi = "10.4230/LIPIcs.FSCD.2018.21",
}
@article{COCKETT201845,
  title = "Cartesian Integral Categories and Contextual Integral Categories",
  author = "J. Robin B. Cockett and Jean-Simon Pacaud Lemay",
  year = "2018",
  issn = "1571-0661",
  journal = "Electronic Notes in Theoretical Computer Science",
  keywords = "Integral categories, coalgebra modality, context, simple slice, coKleisli category",
  note = "Proceedings of the Thirty-Fourth Conference on the Mathematical Foundations of Programming Semantics (MFPS XXXIV)",
  pages = "45 - 72",
  url = "http://www.sciencedirect.com/science/article/pii/S1571066118300847",
  volume = "341",
  doi = "https://doi.org/10.1016/j.entcs.2018.11.004",
}
@article{lemay2018Faa,
  title = " A tangent category alternative to the Faa di Bruno construction ",
  author = "Lemay, Jean-Simon Pacaud",
  year = "2018",
  journal = "Theory and Applications of Categories",
  keywords = "Cartesian Differential Categories, Cofree Cartesian Differential Categories, Tangent Categories, Higher-Order Chain Rule",
  number = "35",
  pages = "1072--1110",
  url = "http://www.tac.mta.ca/tac/volumes/33/35/33-35abs.html",
  volume = "33",
}
@article{hasegawa2018linear,
  title = "Linear Distributivity With Negation, Star-Autonomy, and Hopf Monads",
  author = "Hasegawa, Masahito and Lemay, Jean-Simon Pacaud",
  year = "2018",
  journal = "Theory and Applications of Categories",
  keywords = "monoidal categories, linearly distributive categories, $*$-autonomous categories, comonoidal monads, Hopf monads",
  number = "37",
  pages = "1145--1157",
  url = "http://www.tac.mta.ca/tac/volumes/33/37/33-37abs.html",
  volume = "33",
}
@inproceedings{cockett_et_al:LIPIcs:2017:7716,
  title = "{There Is Only One Notion of Differentiation}",
  author = "J. Robin B. Cockett and Jean-Simon Pacaud Lemay",
  year = "2017",
  address = "Dagstuhl, Germany",
  annote = "Keywords: Differential Categories, Linear Logic, Coalgebra Modalities, Bialgebra Modalities",
  booktitle = "2nd International Conference on Formal Structures for Computation and Deduction (FSCD 2017)",
  editor = "Dale Miller",
  isbn = "978-3-95977-047-7",
  issn = "1868-8969",
  pages = "13:1--13:21",
  publisher = "Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik",
  series = "Leibniz International Proceedings in Informatics (LIPIcs)",
  url = "http://drops.dagstuhl.de/opus/volltexte/2017/7716",
  volume = "84",
  doi = "10.4230/LIPIcs.FSCD.2017.13",
}
@inproceedings{cockett_et_al:LIPIcs:2017:7668,
  title = "{Integral Categories and Calculus Categories}",
  author = "Robin Cockett and Jean-Simon Pacaud Lemay",
  year = "2017",
  address = "Dagstuhl, Germany",
  annote = "Keywords: Differential Categories, Integral Categories, Calculus Categories",
  booktitle = "26th EACSL Annual Conference on Computer Science Logic (CSL 2017)",
  editor = "Valentin Goranko and Mads Dam",
  isbn = "978-3-95977-045-3",
  issn = "1868-8969",
  pages = "20:1--20:17",
  publisher = "Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik",
  series = "Leibniz International Proceedings in Informatics (LIPIcs)",
  url = "http://drops.dagstuhl.de/opus/volltexte/2017/7668",
  volume = "82",
  doi = "10.4230/LIPIcs.CSL.2017.20",
}
@article{BAGNOL201629,
  title = "The Shuffle Quasimonad and Modules with Differentiation and Integration",
  author = "Marc Bagnol and Richard Blute and J. Robin B. Cockett and Jean-Simon Pacaud Lemay",
  year = "2016",
  issn = "1571-0661",
  journal = "Electronic Notes in Theoretical Computer Science",
  keywords = "Linear Logic, Differential Categories, Rota-Baxter Algebras",
  note = "The Thirty-second Conference on the Mathematical Foundations of Programming Semantics (MFPS XXXII)",
  pages = "29 - 45",
  url = "http://www.sciencedirect.com/science/article/pii/S1571066116300779",
  volume = "325",
  doi = "https://doi.org/10.1016/j.entcs.2016.09.030",
}
@article{lemayfhilb,
  title = "Why FHilb is not an interesting (co) differential category",
  author = "Lemay, Jean-Simon Pacaud",
  journal = "To appear in the proceeding of QPL2019",
}