I am now a postdoc in the MSRI complementary program. Previously I was a postdoc at the University of Utah, and before that I got my PhD in Toronto in 2018 under Ragnar-Olaf Buchweitz. Here is my CV.
I think about problems in commutative algebra and representation theory, often borrowing ideas from algebraic topology.
briggs at math dot utah dot edu
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On the Lie algebra structure of integrable derivations
(2022) Arxiv
with Lleonard Rubio y Degrassi |
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Product decompositions of moment-angle manifolds and B-rigidity
(2022) Arxiv
with Steven Amelotte |
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Cohomological jump loci and duality in local algebra
(2022) Arxiv
with Daniel McCormick and Josh Pollitz |
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Maximal tori in HH1 and the fundamental group
(2022) International Mathematics Research Notices, Arxiv
with Lleonard Rubio y Degrassi |
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Rigidity properties of the cotangent complex (2022) Journal of the American Mathematical Society, Arxiv and CHAMP seminar talk on this
with Srikanth Iyengar |
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Constructing non-proxy small test modules for the complete intersection
property (2020) Nagoya Mathematical Journal, Arxiv
with Eloísa Grifo and Josh Pollitz |
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Locally complete intersection maps and the proxy small property (2021) International Mathematics Research Notices, Arxiv
with Srikanth Iyengar, Janina Letz and Josh Pollitz, also recorded talk about this at the 2020 Zoom Special Session on Commutative Algebra |
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Stable invariance of the restricted Lie algebra structure of Hochschild cohomology (2020) Arxiv and FD seminar talk on this
with Lleonard Rubio y Degrassi |
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Vasconcelos' conjecture on the conormal module (2021) Inventiones Mathematicae, Arxiv
also recorded talk about this at the Fellowship of the Ring seminar, and two talks about this at the IIT Bombay Virtual Commutative Algebra seminar |
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Hochschild cohomology of twisted tensor products (2022) Mathematische Zeitschrift, Arxiv
with Sarah Witherspoon |
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The A-infinity Centre of the Yoneda Algebra and the Characteristic Action of Hochschild Cohomology on the Derived Category (2017) Arxiv
with Vincent Gélinas |
| Matrix Factorisations Arising From Well-Generated Complex Reflection Groups (2020) Journal of Algebra, Arxiv |
| Lusternik-Schnirelmann Category in Commutative Algebra and The Homotopy Lie Algebras (2018) C. R. Math. Rep. Acad. Sci. Canada |
| Local Commutative Algebra and Hochschild Cohomology Through the Lens of Koszul Duality (2018) Thesis |
| With Luchezar Avramov, Srikanth Iyengar and Janina Letz I am coeditor of Maximal Cohen-Macaulay Modules and Tate-Cohomology, a typeset edition of the manuscript of Ragnar-Olaf Buchweitz, with new appendixes |
| DG Methods in Commutative Algebra and Representation Theory, coorganised with Janina Letz and Josh Pollitz |
| Maybe you would be interested in Adimom |
| And if you are interested in education maybe you would be interested in my sister's conceptual learning transfer course |
| Just Mathematics Collective |
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I am lucky to be working (or have worked) with the following interesting people
Steven Amelotte (University of Rochester)
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