| Home page | Papers, preprints and talks | Postdocs and students | CV | Links |
| 30. Ideals in enveloping algebras of affine Kac-Moody algebras. With Rekha Biswal. Algebra & Number Theory, to appear. | arxiv | |
| 29. The Poisson spectrum of the symmetric algebra of the Virasoro algebra. With Alexey Petukhov. Compositio Mathematica 159 (2023), no. 5, 933-984. | arxiv | journal |
| 28. A Poisson basis theorem for symmetric
algebras of infinite-dimensional Lie algebras. With Omar León Sánchez. Arkiv för Matematik, 61 (2023), no. 2, 375-412. |
arxiv | journal |
| 27. Ring-theoretic blowing down II: Birational transformations. With Dan Rogalski and J. T. Stafford. J. Noncommutative Geometry 17 (2023), 1045–1097. | arxiv | journal |
| 26. Enveloping algebras with just infinite Gelfand-Kirillov dimension. With Natalia Iyudu. Arkiv för Matematik 58 (2020), no. 2, 285-306. | 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), 1569-1599. | arxiv | journal |
| 23. Associating Geometry to the Lie Superalgebra sl(1|1) and
to the Color Lie Algebra slc(2,k).
With Špela Špenko, Michaela Vancliff, Padmini Veerapen,
and Emilie Wiesner. Proceedings of the AMS 147 (2019), 4135-4146. |
arxiv | journal |
| 22. A new family of Poisson algebras and their
deformations. With Cesar Lecoutre. Nagoya Math. J. 233 (2019), 32-86. |
arxiv | journal |
| 21. On a dynamical Mordell-Lang conjecture for coherent
sheaves. With Jason Bell and Matt Satriano. J. London Math Society 96 (2017), no. 1, 28-46. |
arxiv | journal |
| 20. Generalised Witt algebras and idealizers. With Špela Špenko. J. Algebra, 483 (2017), 415-28. |
arxiv | journal |
| 19. Ring-theoretic 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, 6036-6084 |
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, 475-509. |
arxiv | journal |
| 16. Classifying orders in the Sklyanin algebra. With D. Rogalski and J. T. Stafford. Algebra & Number Theory, 9 (2015), 2055-2119. |
arxiv | journal |
| 15. Noncommutative blowups of elliptic algebras. With D. Rogalski and J. T. Stafford. Algebras and Representation Theory 18 (2015), 491-529. | arxiv | journal |
| 14. Naive blowups and canonical birationally commutative factors. With T. A. Nevins. Math. Z. 280 (2015), 1125-1161 | arxiv | journal |
| 13. The universal enveloping algebra of the Witt algebra is not
noetherian. With C. Walton. Advances in Mathematics 262 (2014), 239-260. | arxiv | journal |
| 12. Algebras in which every subalgebra is noetherian. With D. Rogalski and J. T. Stafford. Proceedings of the AMS 142 (2014), 2983-2990. | arxiv | journal |
| 11. Recovering quivers from derived quiver
representations. With Y.-H. Liu. Comm. Algebra 41 (2013), no. 8, 3013-3031. | arxiv | journal |
| 10. Some noncommutative projective surfaces of GK-dimension 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, 795-834. | arxiv | journal |
Proceedings of the LMS 103 (2011), part 1, 139-196. |
journal | |
| 7. Geometric algebras on projective surfaces. Journal of Algebra 324 (2010), no. 7, 1687-1730. |
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 K-Theory 8 (2011), 481-492. |
arxiv | journal |
| 5. 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 |
| 4. Geometric idealizer rings. Transactions of the AMS 363 (2011), 457-500. |
arxiv | journal |
| 3.
A general homological Kleiman-Bertini theorem. Algebra & Number Theory 3 (2009), no. 5, 597-609. |
arxiv | journal |
| 2. Rings graded equivalent to the first Weyl algebra. Journal of Algebra 321 (2009), no. 2, 495-531. |
arxiv | journal |
| 1. G-algebras, twistings, and equivalences of graded categories. Algebras and Representation Theory 14 (2011), no. 2, 377-390. |
arxiv | journal |
| Thesis | |
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The geometry of birationally commutative graded domains. Ph. D. thesis, University of Michigan, 2008. |
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| Talks | |
| 1 and 2-sided ideals in enveloping algebras of infinite dimensional Lie algebras.ICTP Advanced Lectures in Theoretical Physics and Mathematics, July 2024 | |
| Enveloping algebras of infinite dimensional Lie algebras. Nonassociative algebra workshop, Madrid, June 2023. | |
| 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.AMS-CMS Joint International Meeting, Shanghai 2018, special session on noncommutative algebra and related topics. | |
| Algebras birational to generic Skylanin algebras. Noncommutative and non-associative 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. |
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| Families of representations of the Witt algebra.
Noncommutative Algebraic Geometry Shanghai Workshop 2014. |
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| 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 GK-dimension 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 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. |
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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. |
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| Geometric idealizers and critical transversality. AMS Special Session on Noncommutative Algebraic Geometry, Miami University, March 2007. |
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