Current support: Simons Foundation Grant, Award Number 711639 [2020-2025]. Past support: NSA grant H98230-15-1-0022 [2015-2017] and NSF grant DMS-1101383 [2011-2015].

Click here for a more detailed summary of the papers listed below.

Work-in-progress/Submitted papers/Preprints

A quiver invariant approach to radial isotropy and Paulsen's Problem for matrix frames

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Abstract | pdf |

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Edmonds' problem and the membership problem for orbit semigroups of quiver representations

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Abstract | pdf | arxiv

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Abstract | pdf | arxiv

Refereed articles (accepted or published)

Simultaneous robust subspace recovery and semi-stability of quiver representations

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Journal of Algebra, Computational Section (accepted), 2021.

Abstract | pdf | doi | arxiv

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Journal of Algebra, Computational Section (accepted), 2021.

Abstract | pdf | doi | arxiv

The capacity of quiver representations and Brascamp-Lieb constants

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International Mathematics Research Notices (accepted), 2021. DOI 10.1093/imrn/rnab064

Abstract | pdf | arxiv

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International Mathematics Research Notices (accepted), 2021. DOI 10.1093/imrn/rnab064

Abstract | pdf | arxiv

Moduli spaces of representations of special biserial algebras

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International Mathematics Research Notices 2020, no. 2, 403-421

Abstract | pdf | arxiv

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International Mathematics Research Notices 2020, no. 2, 403-421

Abstract | pdf | arxiv

GIT-equivalence and semi-stable subcategories of quiver representations

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Journal of Pure and Applied Algebra, 223(8), 3499-3514, 2019

Abstract | pdf | arxiv

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Journal of Pure and Applied Algebra, 223(8), 3499-3514, 2019

Abstract | pdf | arxiv

Decomposing moduli of representations of finite-dimensional algebras

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Mathematische Annalen, 372(1), 555-580, 2018

Abstract | pdf | arxiv

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Mathematische Annalen, 372(1), 555-580, 2018

Abstract | pdf | arxiv

On locally semi-simple quiver representations

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Journal of Algebra, 467 (2016), 284-306.

Abstract | pdf | arxiv

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Journal of Algebra, 467 (2016), 284-306.

Abstract | pdf | arxiv

Moduli spaces of modules of Schur-tame algebras

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Algebras and Representation Theory, (2015) 18: 961-976.

Abstract | pdf | arxiv

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Algebras and Representation Theory, (2015) 18: 961-976.

Abstract | pdf | arxiv

On the invariant theory for acyclic gentle algebras

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Transactions of the American Mathematical Society, 367 (2015), no. 5, 3481-3508.

Abstract | pdf | arxiv

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Transactions of the American Mathematical Society, 367 (2015), no. 5, 3481-3508.

Abstract | pdf | arxiv

Module varieties and representation type of finite dimensional algebras

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International Mathematics Research Notices 2015, no 3, 631-650.

Abstract | pdf | arxiv

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International Mathematics Research Notices 2015, no 3, 631-650.

Abstract | pdf | arxiv

On the invariant theory for tame tilted algebras

Algebra & Number Theory, Vol. 7 (2013), No. 1, 193-214.

Abstract | pdf | arxiv

Algebra & Number Theory, Vol. 7 (2013), No. 1, 193-214.

Abstract | pdf | arxiv

On the geometry of orbit closures for representation-infinite algebras

Glasgow Mathematical Journal, 54 (2012), 629-636.

Abstract | pdf | arxiv

Glasgow Mathematical Journal, 54 (2012), 629-636.

Abstract | pdf | arxiv

Geometric characterizations of the representation type of hereditary algebras and of canonical algebras

Advances in Mathematics, 228 (2011), no. 3, 1405-1434.

Abstract | pdf | arxiv

Advances in Mathematics, 228 (2011), no. 3, 1405-1434.

Abstract | pdf | arxiv

Cluster fans, stability conditions, and domains of
semi-invariants

Transactions of the American Mathematical Society, 363 (2011), no. 4, 2171-2190.

Abstract | pdf | arxiv

Transactions of the American Mathematical Society, 363 (2011), no. 4, 2171-2190.

Abstract | pdf | arxiv

Orbit semigroups and the representation type of quivers

Journal of Pure and Applied Algebra, 213 (2009), pp. 1418-1429.

Abstract | pdf | arxiv

Journal of Pure and Applied Algebra, 213 (2009), pp. 1418-1429.

Abstract | pdf | arxiv

Quivers, long exact sequences and Horn type inequalities
II

Glasgow Mathematical Journal, 51 (2009), 1-17.

Abstract | pdf | arxiv

Glasgow Mathematical Journal, 51 (2009), 1-17.

Abstract | pdf | arxiv

Quivers, long exact sequences and Horn type
inequalities

Journal of Algebra, 320 (2008), no. 1, 128-157.

Abstract | pdf | arxiv

Journal of Algebra, 320 (2008), no. 1, 128-157.

Abstract | pdf | arxiv