Ben Briggs

Hej, I am a Marie Curie postdoctoral fellow at the university of Copenhagen. Previously I was a postdoc in the MSRI complementary program, before that 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.

bpb at math dot ku dot dk

My student Daniel McCormick (joint with Srikanth Iyengar) is currently writing his thesis on André-Quillen homology, and he is on the market for a postdoc.

Papers and preprints

Koszul homomorphisms and universal resolutions in local algebra (2023) Arxiv
with James Cameron, Janina Letz and Josh Pollitz
Cohomology operations for moment-angle complexes and resolutions of Stanley-Reisner ring (2023) Arxiv
with Steven Amelotte
Bounds on cohomological support varieties (2022) Arxiv
with Eloísa Grifo and Josh Pollitz
On the Lie algebra structure of integrable derivations (2023) Bulletin of the London Mathematical Society, Arxiv
with Lleonard Rubio y Degrassi
Product decompositions of moment-angle manifolds and B-rigidity (2023) Canadian Mathematical Bulletin, Arxiv
with Steven Amelotte
Cohomological jump loci and duality in local algebra (2023) Mathematische Zeitschrift, Arxiv
with Daniel McCormick and Josh Pollitz
Maximal tori in HH1 and the fundamental group (2022) International Mathematics Research Notices, Arxiv
with Lleonard Rubio y Degrassi
Rigidity properties of the cotangent complex (2022) Journal of the American Mathematical Society, Arxiv
with Srikanth Iyengar
Constructing non-proxy small test modules for the complete intersection property (2020) Nagoya Mathematical Journal, Arxiv
with Eloísa Grifo and Josh Pollitz
Locally complete intersection maps and the proxy small property (2021) International Mathematics Research Notices, Arxiv
with Srikanth Iyengar, Janina Letz and Josh Pollitz
Stable invariance of the restricted Lie algebra structure of Hochschild cohomology (2022) Pacific Journal of Mathematics, Arxiv
with Lleonard Rubio y Degrassi
Vasconcelos' conjecture on the conormal module (2021) Inventiones Mathematicae, Arxiv
Hochschild cohomology of twisted tensor products (2022) Mathematische Zeitschrift, Arxiv
with Sarah Witherspoon
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

Thesis

Local Commutative Algebra and Hochschild Cohomology Through the Lens of Koszul Duality (2018) Here

Book

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 appendices

Miscellaneous

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 high school education maybe you would be interested in my sister's conceptual learning transfer course