I'm a postdoc at the University of Utah, working with Srikanth Iyengar.
I got my PhD in Toronto in 2018 under the supervision of Ragnar-Olaf Buchweitz.
I think about problems in commutative algebra and representation theory, often borrowing ideas from algebraic topology. Recently I'm especially interested in complete intersections and the homological phenomena surrounding them.
Here is my CV.
briggs at math dot utah dot edu
Constructing non-proxy small test modules for the complete intersection
property (2020) Arxiv,
with Eloísa Grifo and Josh Pollitz
Locally complete intersection maps and the proxy small property (2020) 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
with Lleonard Rubio y Degrassi
Vasconcelos' conjecture on the conormal module (2020) 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 (2020) 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 Arxiv|
|Lusternik-Schnirelmann Category in Commutative Algebra and The Homotopy Lie Algebras (2018) Journal|
|Local Commutative Algebra and Hochschild Cohomology Through the Lens of Koszul Duality (2018) Thesis|
|I am cosupervising Mkrtich Ohanyan with Claudia Miller; he is currently writing his PhD thesis on the Hochschild cohomology of short Gorenstein rings at the University of Syracuse|
|I am cosupervising Daniel McCormick with Srikanth Iyengar; he is currently in his third year at the University of Utah|
|I am coeditor in a project to typeset and publish Ragnar-Olaf Buchweitz' famous manuscript Maximal Cohen-Macaulay Modules and Tate-Cohomology Over Gorenstein Rings, and add few new appendices, with Luchezar Avramov, Srikanth Iyengar and Janina Letz|
|I recently coorganised a Zoom conference DG Methods in Commutative Algebra and Representation Theory, with Janina Letz and Josh Pollitz|
|Maybe you would be interested in Adimom|
|Here is the Syllabus. Office hours are ten minutes after every class, and also Monday 10-11am and Tuesday 12-1pm (Zoom details on canvas)|
I am lucky to be working (or have worked) with the following interesting people
Steven Amelotte (University of Rochester)