Home page  Papers, preprints and talks  Postdocs and students  CV  Links 
Preprints  
30. Ideals in enveloping algebras of affine KacMoody algebras. With Rekha Biswal. 
arxiv  
29. The Poisson spectrum of the symmetric algebra of the
Virasoro algebra. With Alexey Petukhov.  arxiv  
28. A Poisson basis theorem for symmetric
algebras of infinitedimensional Lie algebras. With Omar León Sánchez. 
arxiv 
Published/accepted  
27. Ringtheoretic blowing down II: Birational
transformations. With Dan Rogalski and J. T. Stafford. To appear in J. Noncommutative Geometry 
arxiv  
26. Enveloping algebras with just infinite GelfandKirillov
dimension. With Natalia Iyudu. Arkiv för Matematik 58 (2020), no. 2, 285306.  arxiv  journal 
25. Some noncommutative minimal surfaces. With Dan Rogalski and J. T. Stafford. Advances in Mathematics 369 (2020), 107151.  arxiv  journal 
24. Ideals in the enveloping algebra of the positive Witt
algebra. With Alexey Petukhov. Algebras and Representation Theory 23 (2020), 15691599. 
arxiv  journal 
23. 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. Proceedings of the AMS 147 (2019), 41354146. 
arxiv  journal 
22. A new family of Poisson algebras and their
deformations. With Cesar Lecoutre. Nagoya Math. J. 233 (2019), 3286. 
arxiv  journal 
21. On a dynamical MordellLang conjecture for coherent
sheaves. With Jason Bell and Matt Satriano. J. London Math Society 96 (2017), no. 1, 2846. 
arxiv  journal 
20. Generalised Witt algebras and idealizers. With Špela Špenko. J. Algebra, 483 (2017), 41528. 
arxiv  journal 
19. Ringtheoretic blowing down: I. With D. Rogalski and J. T. Stafford. Journal of Noncommutative Geometry 11 (2017), no. 4, 1465–1520.  arxiv  journal 
18. Path algebras of quivers and representations of locally finite Lie
algebras. With J. Hennig. International Mathematics Research Notices (2017) no. 19, 60366084 
arxiv  journal 
17. 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 
16. Classifying orders in the Sklyanin algebra. With D. Rogalski and J. T. Stafford. Algebra & Number Theory, 9 (2015), 20552119. 
arxiv  journal 
15. Noncommutative blowups of elliptic algebras. With D. Rogalski and J. T. Stafford. Algebras and Representation Theory 18 (2015), 491529.  arxiv  journal 
14. Naive blowups and canonical birationally commutative factors. With T. A. Nevins. Math. Z. 280 (2015), 11251161  arxiv  journal 
13. The universal enveloping algebra of the Witt algebra is not
noetherian. With C. Walton. Advances in Mathematics 262 (2014), 239260.  arxiv  journal 
12. Algebras in which every subalgebra is noetherian. With D. Rogalski and J. T. Stafford. Proceedings of the AMS 142 (2014), 29832990.  arxiv  journal 
11. Recovering quivers from derived quiver
representations. With Y.H. Liu. Comm. Algebra 41 (2013), no. 8, 30133031.  arxiv  journal 
10. Some noncommutative projective surfaces of GKdimension 4. With D. Rogalski. Compositio Mathematica 148 (2012), no. 4, 1195  1237.  arxiv  journal 
9. 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  
7. Geometric algebras on projective surfaces. Journal of Algebra 324 (2010), no. 7, 16871730. 
arxiv  journal 
6. 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 
5. The DixmierMoeglin equivalence for twisted homogeneous coordinate rings. With J. Bell and D. Rogalski. Israel J. Math 180 (2010), no. 1, 461507. 
arxiv  journal 
4. Geometric idealizer rings. Transactions of the AMS 363 (2011), 457500. 
arxiv  journal 
3.
A general homological KleimanBertini theorem. Algebra & Number Theory 3 (2009), no. 5, 597609. 
arxiv  journal 
2. Rings graded equivalent to the first Weyl algebra. Journal of Algebra 321 (2009), no. 2, 495531. 
arxiv  journal 
1. 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  
The Poisson spectrum of the symmetric algebra of the
Virasoro algebra. University of Aarhus, May 2021. 

Enveloping algebras of infinite dimensional Lie
algebras. African Mathematics Seminar, September 2020.  
An overview of Artin's conjecture. At 2019 AIM meeting on Artin's conjecture.  
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. 