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University of Michigan

1. Su, Yi. Electrical Networks and Electrical Lie Theory of Classical Types.

Degree: PhD, Mathematics, 2015, University of Michigan

URL: http://hdl.handle.net/2027.42/113393

► In this thesis we investigate the structure of electrical Lie algebras of finite Dynkin type. These Lie algebras were introduced by Lam-Pylyavskyy in the study…
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Subjects/Keywords: Electrical Networks, Electrical Lie Algebra, Finite Dynkin Type; Mathematics; Science

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APA (6^{th} Edition):

Su, Y. (2015). Electrical Networks and Electrical Lie Theory of Classical Types. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/113393

Chicago Manual of Style (16^{th} Edition):

Su, Yi. “Electrical Networks and Electrical Lie Theory of Classical Types.” 2015. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/113393.

MLA Handbook (7^{th} Edition):

Su, Yi. “Electrical Networks and Electrical Lie Theory of Classical Types.” 2015. Web. 07 Aug 2020.

Vancouver:

Su Y. Electrical Networks and Electrical Lie Theory of Classical Types. [Internet] [Doctoral dissertation]. University of Michigan; 2015. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/113393.

Council of Science Editors:

Su Y. Electrical Networks and Electrical Lie Theory of Classical Types. [Doctoral Dissertation]. University of Michigan; 2015. Available from: http://hdl.handle.net/2027.42/113393

University of Michigan

2. Kim, Giwan. Richardson Varieties in a Toric Degeneration of the Flag Variety.

Degree: PhD, Mathematics, 2015, University of Michigan

URL: http://hdl.handle.net/2027.42/113475

► In this thesis, we study degenerations of Richardson varieties in the Groebner degeneration of the flag variety into the toric variety of the Gelfand-Tsetlin polytope.…
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Subjects/Keywords: flag variety; Richardson variety; Groebner degeneration; Standard Monomial Theory; toric variety; Mathematics; Science

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APA (6^{th} Edition):

Kim, G. (2015). Richardson Varieties in a Toric Degeneration of the Flag Variety. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/113475

Chicago Manual of Style (16^{th} Edition):

Kim, Giwan. “Richardson Varieties in a Toric Degeneration of the Flag Variety.” 2015. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/113475.

MLA Handbook (7^{th} Edition):

Kim, Giwan. “Richardson Varieties in a Toric Degeneration of the Flag Variety.” 2015. Web. 07 Aug 2020.

Vancouver:

Kim G. Richardson Varieties in a Toric Degeneration of the Flag Variety. [Internet] [Doctoral dissertation]. University of Michigan; 2015. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/113475.

Council of Science Editors:

Kim G. Richardson Varieties in a Toric Degeneration of the Flag Variety. [Doctoral Dissertation]. University of Michigan; 2015. Available from: http://hdl.handle.net/2027.42/113475

University of Michigan

3. Wiltshire-Gordon, John D. Representation Theory of Combinatorial Categories.

Degree: PhD, Mathematics, 2016, University of Michigan

URL: http://hdl.handle.net/2027.42/133178

► A representation V of a category D is a functor D – > Mod-R; the representations of D form an abelian category with natural transformations…
(more)

Subjects/Keywords: Representation theory of categories; Representation stability; Categories of dimension zero; Coherent functors; Mathematics; Science

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APA (6^{th} Edition):

Wiltshire-Gordon, J. D. (2016). Representation Theory of Combinatorial Categories. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/133178

Chicago Manual of Style (16^{th} Edition):

Wiltshire-Gordon, John D. “Representation Theory of Combinatorial Categories.” 2016. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/133178.

MLA Handbook (7^{th} Edition):

Wiltshire-Gordon, John D. “Representation Theory of Combinatorial Categories.” 2016. Web. 07 Aug 2020.

Vancouver:

Wiltshire-Gordon JD. Representation Theory of Combinatorial Categories. [Internet] [Doctoral dissertation]. University of Michigan; 2016. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/133178.

Council of Science Editors:

Wiltshire-Gordon JD. Representation Theory of Combinatorial Categories. [Doctoral Dissertation]. University of Michigan; 2016. Available from: http://hdl.handle.net/2027.42/133178

University of Michigan

4. Gandini, Francesca. Ideals of Subspace Arrangements.

Degree: PhD, Mathematics, 2019, University of Michigan

URL: http://hdl.handle.net/2027.42/151589

► Given a collection of t subspaces in an n-dimensional mathbb{K} -vector space W, we can associated to them t vanishing ideals in the symmetric algebra…
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Subjects/Keywords: subspace arrangements; invariant theory; exterior algebra; symmetric algebra; Mathematics; Science

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APA (6^{th} Edition):

Gandini, F. (2019). Ideals of Subspace Arrangements. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/151589

Chicago Manual of Style (16^{th} Edition):

Gandini, Francesca. “Ideals of Subspace Arrangements.” 2019. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/151589.

MLA Handbook (7^{th} Edition):

Gandini, Francesca. “Ideals of Subspace Arrangements.” 2019. Web. 07 Aug 2020.

Vancouver:

Gandini F. Ideals of Subspace Arrangements. [Internet] [Doctoral dissertation]. University of Michigan; 2019. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/151589.

Council of Science Editors:

Gandini F. Ideals of Subspace Arrangements. [Doctoral Dissertation]. University of Michigan; 2019. Available from: http://hdl.handle.net/2027.42/151589

University of Michigan

5. Fraser, Christopher. Correspondences Between Cluster Structures.

Degree: PhD, Mathematics, 2016, University of Michigan

URL: http://hdl.handle.net/2027.42/133477

► This thesis introduces quasi-homomorphisms of cluster algebras, a class of maps relating cluster algebras of the same type, but with different coefficients. The definition is…
(more)

Subjects/Keywords: cluster algebra; quasi-homomorphism; seed orbit; cluster modular group; grassmannian; Mathematics; Science

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APA (6^{th} Edition):

Fraser, C. (2016). Correspondences Between Cluster Structures. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/133477

Chicago Manual of Style (16^{th} Edition):

Fraser, Christopher. “Correspondences Between Cluster Structures.” 2016. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/133477.

MLA Handbook (7^{th} Edition):

Fraser, Christopher. “Correspondences Between Cluster Structures.” 2016. Web. 07 Aug 2020.

Vancouver:

Fraser C. Correspondences Between Cluster Structures. [Internet] [Doctoral dissertation]. University of Michigan; 2016. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/133477.

Council of Science Editors:

Fraser C. Correspondences Between Cluster Structures. [Doctoral Dissertation]. University of Michigan; 2016. Available from: http://hdl.handle.net/2027.42/133477

University of Michigan

6. Barter, Daniel. Some Remarks about the Interaction Between Quantum Algebra and Representation Stability.

Degree: PhD, Mathematics, 2017, University of Michigan

URL: http://hdl.handle.net/2027.42/138525

► Tensor categories are ubiquitous in modern mathematics. We will explore how they arise from the perspective of topological quantum computing. Despite their importance, it is…
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Subjects/Keywords: Tensor Categories; Mathematics; Science

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APA (6^{th} Edition):

Barter, D. (2017). Some Remarks about the Interaction Between Quantum Algebra and Representation Stability. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/138525

Chicago Manual of Style (16^{th} Edition):

Barter, Daniel. “Some Remarks about the Interaction Between Quantum Algebra and Representation Stability.” 2017. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/138525.

MLA Handbook (7^{th} Edition):

Barter, Daniel. “Some Remarks about the Interaction Between Quantum Algebra and Representation Stability.” 2017. Web. 07 Aug 2020.

Vancouver:

Barter D. Some Remarks about the Interaction Between Quantum Algebra and Representation Stability. [Internet] [Doctoral dissertation]. University of Michigan; 2017. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/138525.

Council of Science Editors:

Barter D. Some Remarks about the Interaction Between Quantum Algebra and Representation Stability. [Doctoral Dissertation]. University of Michigan; 2017. Available from: http://hdl.handle.net/2027.42/138525

University of Michigan

7. Ingermanson, Grace. Cluster Algebras of Open Richardson Varieties.

Degree: PhD, Mathematics, 2019, University of Michigan

URL: http://hdl.handle.net/2027.42/153460

► This thesis shows that the coordinate ring of the open Richardson variety in type A has the structure of an upper cluster algebra. We begin…
(more)

Subjects/Keywords: combinatorics; cluster algebras; flag variety; open Richardson variety; Mathematics; Science

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APA (6^{th} Edition):

Ingermanson, G. (2019). Cluster Algebras of Open Richardson Varieties. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/153460

Chicago Manual of Style (16^{th} Edition):

Ingermanson, Grace. “Cluster Algebras of Open Richardson Varieties.” 2019. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/153460.

MLA Handbook (7^{th} Edition):

Ingermanson, Grace. “Cluster Algebras of Open Richardson Varieties.” 2019. Web. 07 Aug 2020.

Vancouver:

Ingermanson G. Cluster Algebras of Open Richardson Varieties. [Internet] [Doctoral dissertation]. University of Michigan; 2019. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/153460.

Council of Science Editors:

Ingermanson G. Cluster Algebras of Open Richardson Varieties. [Doctoral Dissertation]. University of Michigan; 2019. Available from: http://hdl.handle.net/2027.42/153460

University of Michigan

8. Tosteson, Philip. Representation Stability, Configurations Spaces, and Deligne-Mumford Compactifications.

Degree: PhD, Mathematics, 2019, University of Michigan

URL: http://hdl.handle.net/2027.42/151414

► We study the homology of ordered configuration spaces and Deligne – Mumford compactifications using tools from representation stability. In the case of configuration spaces, we show…
(more)

Subjects/Keywords: representation stability; configuration space; homology; Mathematics; Science

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APA (6^{th} Edition):

Tosteson, P. (2019). Representation Stability, Configurations Spaces, and Deligne-Mumford Compactifications. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/151414

Chicago Manual of Style (16^{th} Edition):

Tosteson, Philip. “Representation Stability, Configurations Spaces, and Deligne-Mumford Compactifications.” 2019. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/151414.

MLA Handbook (7^{th} Edition):

Tosteson, Philip. “Representation Stability, Configurations Spaces, and Deligne-Mumford Compactifications.” 2019. Web. 07 Aug 2020.

Vancouver:

Tosteson P. Representation Stability, Configurations Spaces, and Deligne-Mumford Compactifications. [Internet] [Doctoral dissertation]. University of Michigan; 2019. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/151414.

Council of Science Editors:

Tosteson P. Representation Stability, Configurations Spaces, and Deligne-Mumford Compactifications. [Doctoral Dissertation]. University of Michigan; 2019. Available from: http://hdl.handle.net/2027.42/151414

University of Michigan

9. Froehlich, Stefan. Polyhedral Analysis of Plethysms and Kronecker Coefficients.

Degree: PhD, Mathematics, 2017, University of Michigan

URL: http://hdl.handle.net/2027.42/140935

► We study three types of polytopes occurring in combinatorial representation theory. The first two are related to Kronecker coefficients; i.*e*. the tensor product multiplicities for…
(more)

Subjects/Keywords: Polytopes in Combinatorial Representation Theory; Mathematics; Science

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APA (6^{th} Edition):

Froehlich, S. (2017). Polyhedral Analysis of Plethysms and Kronecker Coefficients. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/140935

Chicago Manual of Style (16^{th} Edition):

Froehlich, Stefan. “Polyhedral Analysis of Plethysms and Kronecker Coefficients.” 2017. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/140935.

MLA Handbook (7^{th} Edition):

Froehlich, Stefan. “Polyhedral Analysis of Plethysms and Kronecker Coefficients.” 2017. Web. 07 Aug 2020.

Vancouver:

Froehlich S. Polyhedral Analysis of Plethysms and Kronecker Coefficients. [Internet] [Doctoral dissertation]. University of Michigan; 2017. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/140935.

Council of Science Editors:

Froehlich S. Polyhedral Analysis of Plethysms and Kronecker Coefficients. [Doctoral Dissertation]. University of Michigan; 2017. Available from: http://hdl.handle.net/2027.42/140935

University of Michigan

10. Silversmith, Robert. Gromov-Witten Invariants of Symmetric Products of Projective Space.

Degree: PhD, Mathematics, 2017, University of Michigan

URL: http://hdl.handle.net/2027.42/138727

► Gromov-Witten invariants are numbers that roughly count curves of a fixed type on an algebraic variety X. For example, for 3 general points and 6…
(more)

Subjects/Keywords: Moduli spaces; Orbifolds; Mathematics; Science

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APA (6^{th} Edition):

Silversmith, R. (2017). Gromov-Witten Invariants of Symmetric Products of Projective Space. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/138727

Chicago Manual of Style (16^{th} Edition):

Silversmith, Robert. “Gromov-Witten Invariants of Symmetric Products of Projective Space.” 2017. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/138727.

MLA Handbook (7^{th} Edition):

Silversmith, Robert. “Gromov-Witten Invariants of Symmetric Products of Projective Space.” 2017. Web. 07 Aug 2020.

Vancouver:

Silversmith R. Gromov-Witten Invariants of Symmetric Products of Projective Space. [Internet] [Doctoral dissertation]. University of Michigan; 2017. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/138727.

Council of Science Editors:

Silversmith R. Gromov-Witten Invariants of Symmetric Products of Projective Space. [Doctoral Dissertation]. University of Michigan; 2017. Available from: http://hdl.handle.net/2027.42/138727

11. Walker, Robert. Uniform Symbolic Topologies in Non-Regular Rings.

Degree: PhD, Mathematics, 2019, University of Michigan

URL: http://hdl.handle.net/2027.42/149907

► When does a Noetherian commutative ring R have uniform symbolic topologies (USTP) on primes – read, when does there exist an integer D>0 such that…
(more)

Subjects/Keywords: Symbolic Powers of Ideals in Noetherian Integral Domains; Rationally Singular Combinatorially Defined Algebras; Weil divisor class groups of Noetherian normal integral domains; Mathematics; Science

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APA (6^{th} Edition):

Walker, R. (2019). Uniform Symbolic Topologies in Non-Regular Rings. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/149907

Chicago Manual of Style (16^{th} Edition):

Walker, Robert. “Uniform Symbolic Topologies in Non-Regular Rings.” 2019. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/149907.

MLA Handbook (7^{th} Edition):

Walker, Robert. “Uniform Symbolic Topologies in Non-Regular Rings.” 2019. Web. 07 Aug 2020.

Vancouver:

Walker R. Uniform Symbolic Topologies in Non-Regular Rings. [Internet] [Doctoral dissertation]. University of Michigan; 2019. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/149907.

Council of Science Editors:

Walker R. Uniform Symbolic Topologies in Non-Regular Rings. [Doctoral Dissertation]. University of Michigan; 2019. Available from: http://hdl.handle.net/2027.42/149907

12. Karpman, Rachel. Total Positivity and Network Parametrizations: From Type A to Type C.

Degree: PhD, Mathematics, 2016, University of Michigan

URL: http://hdl.handle.net/2027.42/133290

► The Grassmannian Gr(k,n) of k-planes in n-space has a stratification by positroid varieties, which arises in the study of total nonnegativity. The positroid stratification has…
(more)

Subjects/Keywords: totally nonnegative Grassmannian; Lagrangian Grassmannian; positroid variety; planar network; plabic graph; parametrization; Mathematics; Science

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APA (6^{th} Edition):

Karpman, R. (2016). Total Positivity and Network Parametrizations: From Type A to Type C. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/133290

Chicago Manual of Style (16^{th} Edition):

Karpman, Rachel. “Total Positivity and Network Parametrizations: From Type A to Type C.” 2016. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/133290.

MLA Handbook (7^{th} Edition):

Karpman, Rachel. “Total Positivity and Network Parametrizations: From Type A to Type C.” 2016. Web. 07 Aug 2020.

Vancouver:

Karpman R. Total Positivity and Network Parametrizations: From Type A to Type C. [Internet] [Doctoral dissertation]. University of Michigan; 2016. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/133290.

Council of Science Editors:

Karpman R. Total Positivity and Network Parametrizations: From Type A to Type C. [Doctoral Dissertation]. University of Michigan; 2016. Available from: http://hdl.handle.net/2027.42/133290

13. Kearney, John McLean. Hunting for New Physics in New Places.

Degree: PhD, Physics, 2014, University of Michigan

URL: http://hdl.handle.net/2027.42/107070

► In this thesis, we consider two questions concerning the nature of physics beyond the Standard Model (BSM). First, to what extent are minimal or favored…
(more)

Subjects/Keywords: Theoretical High-Energy Physics - Phenomenology; New Physics Beyond the Standard Model; Naturalness; Dark Matter; Physics; Science

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APA (6^{th} Edition):

Kearney, J. M. (2014). Hunting for New Physics in New Places. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/107070

Chicago Manual of Style (16^{th} Edition):

Kearney, John McLean. “Hunting for New Physics in New Places.” 2014. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/107070.

MLA Handbook (7^{th} Edition):

Kearney, John McLean. “Hunting for New Physics in New Places.” 2014. Web. 07 Aug 2020.

Vancouver:

Kearney JM. Hunting for New Physics in New Places. [Internet] [Doctoral dissertation]. University of Michigan; 2014. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/107070.

Council of Science Editors:

Kearney JM. Hunting for New Physics in New Places. [Doctoral Dissertation]. University of Michigan; 2014. Available from: http://hdl.handle.net/2027.42/107070

14. Ullery, Brooke Susanna. Tautological Bundles on the Hilbert Scheme of Points and the Normality of Secant Varieties.

Degree: PhD, Mathematics, 2015, University of Michigan

URL: http://hdl.handle.net/2027.42/111531

► In this dissertation, we study the geometry of secant varieties and their connections to certain tautological bundles on Hilbert schemes of points. Our main theorem…
(more)

Subjects/Keywords: secant varieties; Mathematics; Science

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APA (6^{th} Edition):

Ullery, B. S. (2015). Tautological Bundles on the Hilbert Scheme of Points and the Normality of Secant Varieties. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/111531

Chicago Manual of Style (16^{th} Edition):

Ullery, Brooke Susanna. “Tautological Bundles on the Hilbert Scheme of Points and the Normality of Secant Varieties.” 2015. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/111531.

MLA Handbook (7^{th} Edition):

Ullery, Brooke Susanna. “Tautological Bundles on the Hilbert Scheme of Points and the Normality of Secant Varieties.” 2015. Web. 07 Aug 2020.

Vancouver:

Ullery BS. Tautological Bundles on the Hilbert Scheme of Points and the Normality of Secant Varieties. [Internet] [Doctoral dissertation]. University of Michigan; 2015. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/111531.

Council of Science Editors:

Ullery BS. Tautological Bundles on the Hilbert Scheme of Points and the Normality of Secant Varieties. [Doctoral Dissertation]. University of Michigan; 2015. Available from: http://hdl.handle.net/2027.42/111531

15. Zhou, Xin. Asymptotics of Equivariant Syzygies.

Degree: PhD, Mathematics, 2014, University of Michigan

URL: http://hdl.handle.net/2027.42/108798

► In the present thesis we study the asymptotics of equivariant syzygies. We study asymptotics in two settings, in the general linear group setting and in…
(more)

Subjects/Keywords: Asymptotics; Syzygy; General Linear Groups; Normalized Torus Weights; Mathematics; Science

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APA (6^{th} Edition):

Zhou, X. (2014). Asymptotics of Equivariant Syzygies. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/108798

Chicago Manual of Style (16^{th} Edition):

Zhou, Xin. “Asymptotics of Equivariant Syzygies.” 2014. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/108798.

MLA Handbook (7^{th} Edition):

Zhou, Xin. “Asymptotics of Equivariant Syzygies.” 2014. Web. 07 Aug 2020.

Vancouver:

Zhou X. Asymptotics of Equivariant Syzygies. [Internet] [Doctoral dissertation]. University of Michigan; 2014. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/108798.

Council of Science Editors:

Zhou X. Asymptotics of Equivariant Syzygies. [Doctoral Dissertation]. University of Michigan; 2014. Available from: http://hdl.handle.net/2027.42/108798

16. Ford, Nicolas. Geometric Shifts and Positroid Varieties.

Degree: PhD, Mathematics, 2014, University of Michigan

URL: http://hdl.handle.net/2027.42/107312

► Matroid varieties are the closures in the Grassmannian of sets of points defined by specifying which Plucker coordinates vanish and which don't – the set…
(more)

Subjects/Keywords: Combinatorics; Algebraic Geometry; Mathematics; Science

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APA (6^{th} Edition):

Ford, N. (2014). Geometric Shifts and Positroid Varieties. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/107312

Chicago Manual of Style (16^{th} Edition):

Ford, Nicolas. “Geometric Shifts and Positroid Varieties.” 2014. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/107312.

MLA Handbook (7^{th} Edition):

Ford, Nicolas. “Geometric Shifts and Positroid Varieties.” 2014. Web. 07 Aug 2020.

Vancouver:

Ford N. Geometric Shifts and Positroid Varieties. [Internet] [Doctoral dissertation]. University of Michigan; 2014. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/107312.

Council of Science Editors:

Ford N. Geometric Shifts and Positroid Varieties. [Doctoral Dissertation]. University of Michigan; 2014. Available from: http://hdl.handle.net/2027.42/107312

17. Huh, June. Rota's Conjecture and Positivity of Algebraic Cycles in Permutohedral Varieties.

Degree: PhD, Mathematics, 2014, University of Michigan

URL: http://hdl.handle.net/2027.42/108901

► Rota's conjecture predicts that the coefficients of the characteristic polynomial of a matroid form a log-concave sequence. We give a proof of the conjecture for…
(more)

Subjects/Keywords: Algebraic Cycles; Positivity; Mathematics; Science

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APA (6^{th} Edition):

Huh, J. (2014). Rota's Conjecture and Positivity of Algebraic Cycles in Permutohedral Varieties. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/108901

Chicago Manual of Style (16^{th} Edition):

Huh, June. “Rota's Conjecture and Positivity of Algebraic Cycles in Permutohedral Varieties.” 2014. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/108901.

MLA Handbook (7^{th} Edition):

Huh, June. “Rota's Conjecture and Positivity of Algebraic Cycles in Permutohedral Varieties.” 2014. Web. 07 Aug 2020.

Vancouver:

Huh J. Rota's Conjecture and Positivity of Algebraic Cycles in Permutohedral Varieties. [Internet] [Doctoral dissertation]. University of Michigan; 2014. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/108901.

Council of Science Editors:

Huh J. Rota's Conjecture and Positivity of Algebraic Cycles in Permutohedral Varieties. [Doctoral Dissertation]. University of Michigan; 2014. Available from: http://hdl.handle.net/2027.42/108901

18. Carde, Kevin. Cluster Algebras and Classical Invariant Rings.

Degree: PhD, Mathematics, 2014, University of Michigan

URL: http://hdl.handle.net/2027.42/108931

► Let V be a k-dimensional complex vector space. The Plucker ring of polynomial SL(V) invariants of a collection of n vectors in V can be…
(more)

Subjects/Keywords: Cluster Algebras; Grassmannians; Invariant Theory; Mathematics; Science

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APA (6^{th} Edition):

Carde, K. (2014). Cluster Algebras and Classical Invariant Rings. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/108931

Chicago Manual of Style (16^{th} Edition):

Carde, Kevin. “Cluster Algebras and Classical Invariant Rings.” 2014. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/108931.

MLA Handbook (7^{th} Edition):

Carde, Kevin. “Cluster Algebras and Classical Invariant Rings.” 2014. Web. 07 Aug 2020.

Vancouver:

Carde K. Cluster Algebras and Classical Invariant Rings. [Internet] [Doctoral dissertation]. University of Michigan; 2014. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/108931.

Council of Science Editors:

Carde K. Cluster Algebras and Classical Invariant Rings. [Doctoral Dissertation]. University of Michigan; 2014. Available from: http://hdl.handle.net/2027.42/108931

19. Block, Florian S. Plane Curves, Node Polynomials, and Floor Diagrams.

Degree: PhD, Mathematics, 2011, University of Michigan

URL: http://hdl.handle.net/2027.42/84586

► This thesis is about utilizing and extending a combinatorial approach - based on tropical geometry - to the Gromov-Witten theory of the complex projective plane.…
(more)

Subjects/Keywords: Enumerative Geometry; Plane Curves; Severi Degree; Goettsche Conjecture; Node Polynomials; Floor Diagram; Mathematics; Science

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APA (6^{th} Edition):

Block, F. S. (2011). Plane Curves, Node Polynomials, and Floor Diagrams. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/84586

Chicago Manual of Style (16^{th} Edition):

Block, Florian S. “Plane Curves, Node Polynomials, and Floor Diagrams.” 2011. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/84586.

MLA Handbook (7^{th} Edition):

Block, Florian S. “Plane Curves, Node Polynomials, and Floor Diagrams.” 2011. Web. 07 Aug 2020.

Vancouver:

Block FS. Plane Curves, Node Polynomials, and Floor Diagrams. [Internet] [Doctoral dissertation]. University of Michigan; 2011. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/84586.

Council of Science Editors:

Block FS. Plane Curves, Node Polynomials, and Floor Diagrams. [Doctoral Dissertation]. University of Michigan; 2011. Available from: http://hdl.handle.net/2027.42/84586

20. Glick, Max I. The Pentagram Map: Combinatorial and Geometric Perspectives.

Degree: PhD, Mathematics, 2012, University of Michigan

URL: http://hdl.handle.net/2027.42/93989

► The pentagram map, introduced by R. Schwartz, is defined by the following construction: given a polygon as input, draw all of its shortest diagonals, and…
(more)

Subjects/Keywords: Pentagram Map; Mathematics; Science

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APA (6^{th} Edition):

Glick, M. I. (2012). The Pentagram Map: Combinatorial and Geometric Perspectives. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/93989

Chicago Manual of Style (16^{th} Edition):

Glick, Max I. “The Pentagram Map: Combinatorial and Geometric Perspectives.” 2012. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/93989.

MLA Handbook (7^{th} Edition):

Glick, Max I. “The Pentagram Map: Combinatorial and Geometric Perspectives.” 2012. Web. 07 Aug 2020.

Vancouver:

Glick MI. The Pentagram Map: Combinatorial and Geometric Perspectives. [Internet] [Doctoral dissertation]. University of Michigan; 2012. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/93989.

Council of Science Editors:

Glick MI. The Pentagram Map: Combinatorial and Geometric Perspectives. [Doctoral Dissertation]. University of Michigan; 2012. Available from: http://hdl.handle.net/2027.42/93989

21. Von Korff, Michael Richard. The F-Signature of Toric Varieties.

Degree: PhD, Mathematics, 2012, University of Michigan

URL: http://hdl.handle.net/2027.42/93995

► In this thesis, we express the F-signature of the coordinate ring of an affine toric variety as the volume of a polytope, generalizing a formula…
(more)

Subjects/Keywords: F-signature; Algebraic Geometry; Commutative Algebra; Toric Varieties; Mathematics; Science

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APA (6^{th} Edition):

Von Korff, M. R. (2012). The F-Signature of Toric Varieties. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/93995

Chicago Manual of Style (16^{th} Edition):

Von Korff, Michael Richard. “The F-Signature of Toric Varieties.” 2012. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/93995.

MLA Handbook (7^{th} Edition):

Von Korff, Michael Richard. “The F-Signature of Toric Varieties.” 2012. Web. 07 Aug 2020.

Vancouver:

Von Korff MR. The F-Signature of Toric Varieties. [Internet] [Doctoral dissertation]. University of Michigan; 2012. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/93995.

Council of Science Editors:

Von Korff MR. The F-Signature of Toric Varieties. [Doctoral Dissertation]. University of Michigan; 2012. Available from: http://hdl.handle.net/2027.42/93995

22. Lutz, Robert. Electrical Networks, Hyperplane Arrangements and Matroids.

Degree: PhD, Mathematics, 2019, University of Michigan

URL: http://hdl.handle.net/2027.42/151412

► This thesis introduces a class of hyperplane arrangements, called Dirichlet arrangements, arising from electrical networks with Dirichlet boundary conditions. Dirichlet arrangements encode harmonic functions on…
(more)

Subjects/Keywords: Combinatorics; Hyperplane arrangements; Electrical networks; Matroids; Mathematics; Science

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Lutz, R. (2019). Electrical Networks, Hyperplane Arrangements and Matroids. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/151412

Chicago Manual of Style (16^{th} Edition):

Lutz, Robert. “Electrical Networks, Hyperplane Arrangements and Matroids.” 2019. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/151412.

MLA Handbook (7^{th} Edition):

Lutz, Robert. “Electrical Networks, Hyperplane Arrangements and Matroids.” 2019. Web. 07 Aug 2020.

Vancouver:

Lutz R. Electrical Networks, Hyperplane Arrangements and Matroids. [Internet] [Doctoral dissertation]. University of Michigan; 2019. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/151412.

Council of Science Editors:

Lutz R. Electrical Networks, Hyperplane Arrangements and Matroids. [Doctoral Dissertation]. University of Michigan; 2019. Available from: http://hdl.handle.net/2027.42/151412

23. Hadjiantonis, Marios. Modern Techniques in Quantum Field Theory.

Degree: PhD, Physics, 2019, University of Michigan

URL: http://hdl.handle.net/2027.42/151583

► In this thesis, I discuss three projects on modern approaches to quantum field theory. Firstly, I present a novel approach to holographic renormalization, using an…
(more)

Subjects/Keywords: Quantum field theory; Gauge-gravity duality; Holographic renormalization; Effective field theories; Scattering amplitudes; Entanglement entropy; Physics; Science

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Hadjiantonis, M. (2019). Modern Techniques in Quantum Field Theory. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/151583

Chicago Manual of Style (16^{th} Edition):

Hadjiantonis, Marios. “Modern Techniques in Quantum Field Theory.” 2019. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/151583.

MLA Handbook (7^{th} Edition):

Hadjiantonis, Marios. “Modern Techniques in Quantum Field Theory.” 2019. Web. 07 Aug 2020.

Vancouver:

Hadjiantonis M. Modern Techniques in Quantum Field Theory. [Internet] [Doctoral dissertation]. University of Michigan; 2019. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/151583.

Council of Science Editors:

Hadjiantonis M. Modern Techniques in Quantum Field Theory. [Doctoral Dissertation]. University of Michigan; 2019. Available from: http://hdl.handle.net/2027.42/151583

24. Levinson, Jake. Foundations of Boij-Soderberg Theory for Grassmannians.

Degree: PhD, Mathematics, 2017, University of Michigan

URL: http://hdl.handle.net/2027.42/137146

► Boij-Söderberg theory characterizes syzygies of graded modules and sheaves on projective space. This thesis is concerned with extending the theory to the setting of modules…
(more)

Subjects/Keywords: algebraic geometry; combinatorics; commutative algebra; syzygies; Mathematics; Science

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Levinson, J. (2017). Foundations of Boij-Soderberg Theory for Grassmannians. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/137146

Chicago Manual of Style (16^{th} Edition):

Levinson, Jake. “Foundations of Boij-Soderberg Theory for Grassmannians.” 2017. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/137146.

MLA Handbook (7^{th} Edition):

Levinson, Jake. “Foundations of Boij-Soderberg Theory for Grassmannians.” 2017. Web. 07 Aug 2020.

Vancouver:

Levinson J. Foundations of Boij-Soderberg Theory for Grassmannians. [Internet] [Doctoral dissertation]. University of Michigan; 2017. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/137146.

Council of Science Editors:

Levinson J. Foundations of Boij-Soderberg Theory for Grassmannians. [Doctoral Dissertation]. University of Michigan; 2017. Available from: http://hdl.handle.net/2027.42/137146

25. Leaf, Alexander. The Kashaev Equation and Related Recurrences.

Degree: PhD, Mathematics, 2018, University of Michigan

URL: http://hdl.handle.net/2027.42/145882

► The hexahedron recurrence was introduced by R. Kenyon and R. Pemantle in the study of the double-dimer model in statistical mechanics. It describes a relationship…
(more)

Subjects/Keywords: Kashaev equation; hexahedron recurrence; principal minors of symmetric matrices; cubical complexes; s-holomorphicity; cluster algebras; Mathematics; Science

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APA (6^{th} Edition):

Leaf, A. (2018). The Kashaev Equation and Related Recurrences. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/145882

Chicago Manual of Style (16^{th} Edition):

Leaf, Alexander. “The Kashaev Equation and Related Recurrences.” 2018. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/145882.

MLA Handbook (7^{th} Edition):

Leaf, Alexander. “The Kashaev Equation and Related Recurrences.” 2018. Web. 07 Aug 2020.

Vancouver:

Leaf A. The Kashaev Equation and Related Recurrences. [Internet] [Doctoral dissertation]. University of Michigan; 2018. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/145882.

Council of Science Editors:

Leaf A. The Kashaev Equation and Related Recurrences. [Doctoral Dissertation]. University of Michigan; 2018. Available from: http://hdl.handle.net/2027.42/145882

26. Rebhuhn-Glanz, Rebecca. Closure Operations that Induce Big Cohen-Macaulay Modules and Algebras, and Classification of Singularities.

Degree: PhD, Mathematics, 2016, University of Michigan

URL: http://hdl.handle.net/2027.42/133408

► Geoffrey Dietz introduced a set of axioms for a closure operation on a complete local domain such that the existence of a closure operation satisfying…
(more)

Subjects/Keywords: commutative algebra; cohen-macaulay module; closure operation; tight closure; Mathematics; Science

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Rebhuhn-Glanz, R. (2016). Closure Operations that Induce Big Cohen-Macaulay Modules and Algebras, and Classification of Singularities. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/133408

Chicago Manual of Style (16^{th} Edition):

Rebhuhn-Glanz, Rebecca. “Closure Operations that Induce Big Cohen-Macaulay Modules and Algebras, and Classification of Singularities.” 2016. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/133408.

MLA Handbook (7^{th} Edition):

Rebhuhn-Glanz, Rebecca. “Closure Operations that Induce Big Cohen-Macaulay Modules and Algebras, and Classification of Singularities.” 2016. Web. 07 Aug 2020.

Vancouver:

Rebhuhn-Glanz R. Closure Operations that Induce Big Cohen-Macaulay Modules and Algebras, and Classification of Singularities. [Internet] [Doctoral dissertation]. University of Michigan; 2016. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/133408.

Council of Science Editors:

Rebhuhn-Glanz R. Closure Operations that Induce Big Cohen-Macaulay Modules and Algebras, and Classification of Singularities. [Doctoral Dissertation]. University of Michigan; 2016. Available from: http://hdl.handle.net/2027.42/133408

27. Frieden, Gabriel. Geometric Lifting of Affine Type A Crystal Combinatorics.

Degree: PhD, Mathematics, 2018, University of Michigan

URL: http://hdl.handle.net/2027.42/147545

► In the first part of this thesis, we construct a type A_{n-1}^{(1)} geometric crystal on the variety mathbb{X}_{k} := {rm Gr}(k,n) times ℂ^{times}, and show…
(more)

Subjects/Keywords: crystals; geometric crystals; combinatorial $R$-matrix; Mathematics; Science

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Frieden, G. (2018). Geometric Lifting of Affine Type A Crystal Combinatorics. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/147545

Chicago Manual of Style (16^{th} Edition):

Frieden, Gabriel. “Geometric Lifting of Affine Type A Crystal Combinatorics.” 2018. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/147545.

MLA Handbook (7^{th} Edition):

Frieden, Gabriel. “Geometric Lifting of Affine Type A Crystal Combinatorics.” 2018. Web. 07 Aug 2020.

Vancouver:

Frieden G. Geometric Lifting of Affine Type A Crystal Combinatorics. [Internet] [Doctoral dissertation]. University of Michigan; 2018. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/147545.

Council of Science Editors:

Frieden G. Geometric Lifting of Affine Type A Crystal Combinatorics. [Doctoral Dissertation]. University of Michigan; 2018. Available from: http://hdl.handle.net/2027.42/147545

28. Ramadas, Rohini. Dynamics on the Moduli Space of Pointed Rational Curves.

Degree: PhD, Mathematics, 2017, University of Michigan

URL: http://hdl.handle.net/2027.42/138644

► The moduli space M_{0,n} parametrizes all ways of labelling n distinct points on the Riemann sphere P^{1}, up to change of coordinates by Mobius transformations.…
(more)

Subjects/Keywords: Moduli spaces; Complex dynamics; Mathematics; Science

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Ramadas, R. (2017). Dynamics on the Moduli Space of Pointed Rational Curves. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/138644

Chicago Manual of Style (16^{th} Edition):

Ramadas, Rohini. “Dynamics on the Moduli Space of Pointed Rational Curves.” 2017. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/138644.

MLA Handbook (7^{th} Edition):

Ramadas, Rohini. “Dynamics on the Moduli Space of Pointed Rational Curves.” 2017. Web. 07 Aug 2020.

Vancouver:

Ramadas R. Dynamics on the Moduli Space of Pointed Rational Curves. [Internet] [Doctoral dissertation]. University of Michigan; 2017. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/138644.

Council of Science Editors:

Ramadas R. Dynamics on the Moduli Space of Pointed Rational Curves. [Doctoral Dissertation]. University of Michigan; 2017. Available from: http://hdl.handle.net/2027.42/138644