# Jesse Burke

### Research Fellow

Mathematical Sciences Institute

Australian National University

#### Contact: jesse burke at anu dot edu dot au

### Relative Koszul duality

### CV

### Recent talks

### Papers:

- Transfer of A-infinty
structures to projective resolutions

arXiv:1801.08933, Preprint, 20 pages. (Slides from related talk) - Strictly unital A-infinty algebras

arXiv:1801.06943, to appear in Journal of Pure and Applied Algebra, 28 pages. (TikZ source for diagrams) - Golod rings and higher
homotopies

arXiv:1508.03782, Preprint, 26 pages. (Slides from related talk) - The derived category of a
graded Gorenstein ring (with Greg Stevenson)

Commutative Algebra and Noncommutative Algebraic Geometry, Volume II: Research Articles, MSRI Publications 68, 2015, 93-123. - Building
modules from the singular locus (with Lars Winther Christensen
and Ryo Takahashi)

*Math Scand.*, 116 (2015) no. 1, 23-33. - Matrix
factorizations in higher codimension (with Mark Walker)

*Transaction of the AMS*, 367 (2015), 3323-3370. - Matrix factorizations over projective
schemes (with Mark Walker)

*Homology, Homotopy, and Applications,*Vol. 14 (2012), No. 2, pp.37-61. (Slides from related talk) - The cone of Betti diagrams over a hypersurface
ring of low embedding dimension (with Christine Berkesch, Daniel
Erman, and Courtney Gibbons)

*Journal of Pure and Applied Algebra,*216 (2012), 2256-2268. - Finite injective dimension over rings with
Noetherian cohomology

*Mathematical Research Letters,*Vol. 19 (2012), No. 4, 741-752.

### Google Scholar profile

### Teaching:

Rubik's Cube Algebra 1 Add-on (F 12 - 1 in Copland G31.)UCLA teaching pages