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 RagnarOlaf 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
On the Lie algebra structure of integrable derivations
(2022) Arxiv
with Lleonard Rubio y Degrassi 
Product decompositions of momentangle manifolds and Brigidity
(2022) Arxiv
with Steven Amelotte 
Cohomological jump loci and duality in local algebra
(2022) Arxiv
with Daniel McCormick and Josh Pollitz 
Maximal tori in HH^{1} 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 and CHAMP seminar talk on this
with Srikanth Iyengar 
Constructing nonproxy 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, also recorded talk about this at the 2020 Zoom Special Session on Commutative Algebra 
Stable invariance of the restricted Lie algebra structure of Hochschild cohomology (2020) Arxiv and FD seminar talk on this
with Lleonard Rubio y Degrassi 
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 
Hochschild cohomology of twisted tensor products (2022) Mathematische Zeitschrift, Arxiv
with Sarah Witherspoon 
The Ainfinity 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 WellGenerated Complex Reflection Groups (2020) Journal of Algebra, Arxiv 
LusternikSchnirelmann 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 CohenMacaulay Modules and TateCohomology, a typeset edition of the manuscript of RagnarOlaf 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 
I am lucky to be working (or have worked) with the following interesting people
Steven Amelotte (University of Rochester)
