Home page  Papers, preprints and talks  Postdocs and students  CV  Links 
Preprints  
Associating Geometry to the Lie Superalgebra sl(11) and
to the Color Lie Algebra sl^{c}(2,k). With Špela Špenko, Michaela Vancliff, Padmini Veerapen, and Emilie Wiesner. 
arxiv  
Noncommutative minimal surfaces. With Dan Rogalski and J. T. Stafford.  arxiv  
Ideals in the enveloping algebra of the positive Witt algebra. With Alexey Petukhov. 
arxiv 
Published/accepted  
A new family of Poisson algebras and their
deformations. With Cesar Lecoutre. Nagoya Math. J., to appear. 
arxiv  journal 
On a dynamical MordellLang 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), 41528. 
arxiv  journal 
Ringtheoretic blowing down: I. With D. Rogalski and J. T. Stafford. Journal of Noncommutative Geometry, 11 (2017), no. 4, 1465–1520.  arxiv  journal 
Path algebras of quivers and representations of locally finite Lie
algebras. With J. Hennig. International Mathematics Research Notices, (2017) no. 19, 60366084 
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, 475509. 
arxiv  journal 
Classifying orders in the Sklyanin algebra. With D. Rogalski and J. T. Stafford. Algebra & Number Theory, 9 (2015), 20552119. 
arxiv  journal 
Noncommutative blowups of elliptic algebras. With D. Rogalski and J. T. Stafford. Algebras and Representation Theory, 18 (2015), 491529.  arxiv  journal 
Naive blowups and canonical birationally commutative factors. With T. A. Nevins. Math. Z. 280 (2015), 11251161  arxiv  journal 
The universal enveloping algebra of the Witt algebra is not
noetherian. With C. Walton. Advances in Mathematics 262 (2014), 239260.  arxiv  journal 
Algebras in which every subalgebra is noetherian. With D. Rogalski and J. T. Stafford. Proceedings of the AMS 142 (2014), 29832990.  arxiv  journal 
Recovering quivers from derived quiver
representations. With Y.H. Liu. Comm. Algebra 41 (2013), no. 8, 30133031.  arxiv  journal 
Some noncommutative projective surfaces of GKdimension 4. With D. Rogalski. Compositio Mathematica 148 (2012), no. 4, 1195  1237.  arxiv  journal 
Moduli spaces for point modules on naive blowups.
With T. A. Nevins. Algebra & Number Theory 7 (2013), no. 4, 795834.  arxiv  journal 
Proceedings of the LMS 103 (2011), part 1, 139196. 
journal  
Geometric algebras on projective surfaces. Journal of Algebra 324 (2010), no. 7, 16871730. 
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 KTheory 8 (2011), 481492. 
arxiv  journal 
The DixmierMoeglin equivalence for twisted homogeneous coordinate rings. With J. Bell and D. Rogalski. Israel J. Math 180 (2010), no. 1, 461507. 
arxiv  journal 
Geometric idealizer rings. Transactions of the AMS 363 (2011), 457500. 
arxiv  journal 
A general homological KleimanBertini theorem. Algebra & Number Theory 3 (2009), no. 5, 597609. 
arxiv  journal 
Rings graded equivalent to the first Weyl algebra. Journal of Algebra 321 (2009), no. 2, 495531. 
arxiv  journal 
Galgebras, twistings, and equivalences of graded categories. Algebras and Representation Theory 14 (2011), no. 2, 377390. 
arxiv  journal 
Thesis  
The geometry of birationally commutative graded domains. Ph. D. thesis, University of Michigan, 2008. 
Talks  
Chain conditions in the enveloping algebra of the Witt
algebra. AMSCMS Joint International Meeting, Shanghai 2018, special session on noncommutative algebra and related topics.  
Algebras birational to generic Skylanin algebras. Noncommutative and nonassociative structures, braces and applications, Malta 2018.  
Overrings of Sklyanin algebras. Joint meeting of the Edinburgh Mathematical Society and Societat Catalana de Matemàtiques, Edinburgh September 2017.  
Deformations of a noncommutative surface of dimension
4.
Homological Methods in Algebra and Geometry, AIMS Ghana 2016. 

Families of representations of the Witt algebra.
Noncommutative Algebraic Geometry Shanghai Workshop 2014. 

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.  
A dichotomy in GKdimension 5. Noncommutative Algebraic Geometry Shanghai Workshop, September 2011.  
Naive blowups and canonical birationally commutative
factors. New developments in noncommutative algebra and its applications, Skye, June 2011.  
The DixmierMoeglin equivalence for twisted homogeneous coordinate rings. AMS Special Session on Interactions Between Algebraic Geometry and Noncommutative Algebra, University of California Riverside, October 2009. 

The classification of birationally commutative projective surfaces. AMS Special Session on Noncommutative Algebra and Geometry, University of British Columbia, October 2008.  
Rings graded equivalent to the first Weyl algebra. AMS Special Session on Noncommutative Algebra, Davidson College, March 2007. 

Geometric idealizers and critical transversality. AMS Special Session on Noncommutative Algebraic Geometry, Miami University, March 2007. 