Papers, preprints, and talks

Published/accepted
A new family of Poisson algebras and their deformations.
With Cesar Lecoutre.
Nagoya Math. J., to appear.
arxiv  
On a dynamical Mordell-Lang conjecture for coherent sheaves.
With Jason Bell and Matt Satriano.
J. London Math Society, to appear.
arxiv  
Generalised Witt algebras and idealizers.
With Špela Špenko.
J. Algebra, 483 (2017), 415-28.
arxiv journal
Ring-theoretic blowing down: I.
With D. Rogalski and J. T. Stafford.
Journal of Noncommutative Geometry, to appear.
arxiv  
Path algebras of quivers and representations of locally finite Lie algebras.
With J. Hennig.
International Mathematics Research Notices, (2017) no. 19, 6036-6084
arxiv journal
Maps from the enveloping algebra of the positive Witt algebra to regular algebras.
With C. Walton.
Pacific J. Math, 284 (2016), no. 2, 475-509.
arxiv journal
Classifying orders in the Sklyanin algebra.
With D. Rogalski and J. T. Stafford.
Algebra & Number Theory, 9 (2015), 2055-2119.
arxiv journal
Noncommutative blowups of elliptic algebras.
With D. Rogalski and J. T. Stafford.
Algebras and Representation Theory, 18 (2015), 491-529.
arxiv journal
Naive blowups and canonical birationally commutative factors.
With T. A. Nevins.
Math. Z. 280 (2015), 1125-1161
arxivjournal
The universal enveloping algebra of the Witt algebra is not noetherian.
With C. Walton.
Advances in Mathematics 262 (2014), 239-260.
arxivjournal
Algebras in which every subalgebra is noetherian.
With D. Rogalski and J. T. Stafford.
Proceedings of the AMS 142 (2014), 2983-2990.
arxivjournal
Recovering quivers from derived quiver representations.
With Y.-H. Liu.
Comm. Algebra 41 (2013), no. 8, 3013-3031.
arxivjournal
Some noncommutative projective surfaces of GK-dimension 4.
With D. Rogalski.
Compositio Mathematica 148 (2012), no. 4, 1195 - 1237.
arxivjournal
Moduli spaces for point modules on naive blowups.
With T. A. Nevins.
Algebra & Number Theory 7 (2013), no. 4, 795-834.
arxivjournal
Classifying birationally commutative projective surfaces.
Proceedings of the LMS 103 (2011), part 1, 139-196.
arxiv journal
Geometric algebras on projective surfaces.
Journal of Algebra 324 (2010), no. 7, 1687-1730.
arxiv journal
A derived equivalence for a Del Pezzo surface of degree 6 over an arbitrary field.
With M. Blunk and S. P. Smith.
Journal of K-Theory 8 (2011), 481-492.
arxiv journal
The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings.
With J. Bell and D. Rogalski.
Israel J. Math 180 (2010), no. 1, 461-507.
arxiv journal
Geometric idealizer rings.
Transactions of the AMS 363 (2011), 457-500.
arxiv journal
A general homological Kleiman-Bertini theorem.
Algebra & Number Theory 3 (2009), no. 5, 597-609.
arxiv journal
Rings graded equivalent to the first Weyl algebra.
Journal of Algebra 321 (2009), no. 2, 495-531.
arxiv journal
G-algebras, twistings, and equivalences of graded categories.
Algebras and Representation Theory 14 (2011), no. 2, 377-390.
arxiv journal

Thesis
The geometry of birationally commutative graded domains.
Ph. D. thesis, University of Michigan, 2008.
pdf

Talks
Overrings of Sklyanin algebras.
Joint meeting of the Edinburgh Mathematical Society and Societat Catalana de Matemàtiques, Edinburgh September 2017.
pdf
Deformations of a noncommutative surface of dimension 4.
Homological Methods in Algebra and Geometry, AIMS Ghana 2016.
pdf
Families of representations of the Witt algebra.
Noncommutative Algebraic Geometry Shanghai Workshop 2014.
pdf
The universal enveloping algebra of the Witt algebra is not noetherian.
Interactions between Noncommutative Algebra, Representation Theory, and Algebraic Geometry (MSRI), April 2013.
(Note that the video does not include the last 15 minutes of the talk!)
video
What are the noncommutative projective surfaces?
Connections for Women: Noncommutative Algebraic Geometry and Representation Theory, January 2013.
pdf
A dichotomy in GK-dimension 5.
Noncommutative Algebraic Geometry Shanghai Workshop, September 2011.
pdf
Naive blowups and canonical birationally commutative factors.
New developments in noncommutative algebra and its applications, Skye, June 2011.
pdf
The Dixmier-Moeglin equivalence for twisted homogeneous coordinate rings.
AMS Special Session on Interactions Between Algebraic Geometry and Noncommutative Algebra,
University of California Riverside, October 2009.
pdf
The classification of birationally commutative projective surfaces.
AMS Special Session on Noncommutative Algebra and Geometry,
University of British Columbia, October 2008.
pdf
Rings graded equivalent to the first Weyl algebra.
AMS Special Session on Noncommutative Algebra,
Davidson College, March 2007.
pdf
Geometric idealizers and critical transversality.
AMS Special Session on Noncommutative Algebraic Geometry,
Miami University, March 2007.
pdf

Last updated 14 October 2017