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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 November 27, 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. 27 Nov 2020.

Vancouver:

Su Y. Electrical Networks and Electrical Lie Theory of Classical Types. [Internet] [Doctoral dissertation]. University of Michigan; 2015. [cited 2020 Nov 27]. 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

2. Hyde, Trevor. Polynomial Statistics, Necklace Polynomials, and the Arithmetic Dynamical Mordell-Lang Conjecture.

Degree: PhD, Mathematics, 2019, University of Michigan

URL: http://hdl.handle.net/2027.42/151684

► This thesis consists of six chapters representing two directions of the author’s graduate research under the advisement of Jeffrey Lagarias and Michael Zieve. The first…
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Subjects/Keywords: Configuration space; Necklace polynomial; Dynamical Mordell-Lang; Mathematics; Science

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APA (6^{th} Edition):

Hyde, T. (2019). Polynomial Statistics, Necklace Polynomials, and the Arithmetic Dynamical Mordell-Lang Conjecture. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/151684

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

Hyde, Trevor. “Polynomial Statistics, Necklace Polynomials, and the Arithmetic Dynamical Mordell-Lang Conjecture.” 2019. Doctoral Dissertation, University of Michigan. Accessed November 27, 2020. http://hdl.handle.net/2027.42/151684.

MLA Handbook (7^{th} Edition):

Hyde, Trevor. “Polynomial Statistics, Necklace Polynomials, and the Arithmetic Dynamical Mordell-Lang Conjecture.” 2019. Web. 27 Nov 2020.

Vancouver:

Hyde T. Polynomial Statistics, Necklace Polynomials, and the Arithmetic Dynamical Mordell-Lang Conjecture. [Internet] [Doctoral dissertation]. University of Michigan; 2019. [cited 2020 Nov 27]. Available from: http://hdl.handle.net/2027.42/151684.

Council of Science Editors:

Hyde T. Polynomial Statistics, Necklace Polynomials, and the Arithmetic Dynamical Mordell-Lang Conjecture. [Doctoral Dissertation]. University of Michigan; 2019. Available from: http://hdl.handle.net/2027.42/151684

University of Michigan

3. 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…
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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 November 27, 2020. http://hdl.handle.net/2027.42/140935.

MLA Handbook (7^{th} Edition):

Froehlich, Stefan. “Polyhedral Analysis of Plethysms and Kronecker Coefficients.” 2017. Web. 27 Nov 2020.

Vancouver:

Froehlich S. Polyhedral Analysis of Plethysms and Kronecker Coefficients. [Internet] [Doctoral dissertation]. University of Michigan; 2017. [cited 2020 Nov 27]. 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

4. Jeray, Paul J. Explicit matrix representations for type D Coxeter groups.

Degree: PhD, Pure Sciences, 2007, University of Michigan

URL: http://hdl.handle.net/2027.42/126450

► This paper presents some specific matrix representations of Coxeter groups of type D. To accomplish this, we describe how to construct an orthonormal basis for…
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Subjects/Keywords: Coxeter Groups; Explicit; Matrix Representations; Type; Weyl Group

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APA (6^{th} Edition):

Jeray, P. J. (2007). Explicit matrix representations for type D Coxeter groups. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/126450

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

Jeray, Paul J. “Explicit matrix representations for type D Coxeter groups.” 2007. Doctoral Dissertation, University of Michigan. Accessed November 27, 2020. http://hdl.handle.net/2027.42/126450.

MLA Handbook (7^{th} Edition):

Jeray, Paul J. “Explicit matrix representations for type D Coxeter groups.” 2007. Web. 27 Nov 2020.

Vancouver:

Jeray PJ. Explicit matrix representations for type D Coxeter groups. [Internet] [Doctoral dissertation]. University of Michigan; 2007. [cited 2020 Nov 27]. Available from: http://hdl.handle.net/2027.42/126450.

Council of Science Editors:

Jeray PJ. Explicit matrix representations for type D Coxeter groups. [Doctoral Dissertation]. University of Michigan; 2007. Available from: http://hdl.handle.net/2027.42/126450

University of Michigan

5. Ciucu, Mihai Adrian. Perfect matchings, spanning trees, plane partitions and statistical physics.

Degree: PhD, Mathematics, 1996, University of Michigan

URL: http://hdl.handle.net/2027.42/105078

► This thesis is concerned with perfect matchings of graphs and is organized in three parts. In the first chapter we introduce "cellular graphs," i.e., graphs…
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Subjects/Keywords: Mathematics; Physics, General

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APA (6^{th} Edition):

Ciucu, M. A. (1996). Perfect matchings, spanning trees, plane partitions and statistical physics. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/105078

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

Ciucu, Mihai Adrian. “Perfect matchings, spanning trees, plane partitions and statistical physics.” 1996. Doctoral Dissertation, University of Michigan. Accessed November 27, 2020. http://hdl.handle.net/2027.42/105078.

MLA Handbook (7^{th} Edition):

Ciucu, Mihai Adrian. “Perfect matchings, spanning trees, plane partitions and statistical physics.” 1996. Web. 27 Nov 2020.

Vancouver:

Ciucu MA. Perfect matchings, spanning trees, plane partitions and statistical physics. [Internet] [Doctoral dissertation]. University of Michigan; 1996. [cited 2020 Nov 27]. Available from: http://hdl.handle.net/2027.42/105078.

Council of Science Editors:

Ciucu MA. Perfect matchings, spanning trees, plane partitions and statistical physics. [Doctoral Dissertation]. University of Michigan; 1996. Available from: http://hdl.handle.net/2027.42/105078

University of Michigan

6. Waugh, Debra J. Quotients of Coxeter groups under the weak order.

Degree: PhD, Pure Sciences, 1997, University of Michigan

URL: http://hdl.handle.net/2027.42/130601

► Let (W, S) be a Coxeter system. The (left) weak order on W is the partial ordering defined by the relations x {< _{L y}}…
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Subjects/Keywords: Coxeter; Groups; Order; Quotients; Under; Weak

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APA (6^{th} Edition):

Waugh, D. J. (1997). Quotients of Coxeter groups under the weak order. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/130601

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

Waugh, Debra J. “Quotients of Coxeter groups under the weak order.” 1997. Doctoral Dissertation, University of Michigan. Accessed November 27, 2020. http://hdl.handle.net/2027.42/130601.

MLA Handbook (7^{th} Edition):

Waugh, Debra J. “Quotients of Coxeter groups under the weak order.” 1997. Web. 27 Nov 2020.

Vancouver:

Waugh DJ. Quotients of Coxeter groups under the weak order. [Internet] [Doctoral dissertation]. University of Michigan; 1997. [cited 2020 Nov 27]. Available from: http://hdl.handle.net/2027.42/130601.

Council of Science Editors:

Waugh DJ. Quotients of Coxeter groups under the weak order. [Doctoral Dissertation]. University of Michigan; 1997. Available from: http://hdl.handle.net/2027.42/130601

University of Michigan

7. Elnitsky, Serge. Rhombic tilings of polygons and classes of reduced words in Coxeter groups.

Degree: PhD, Mathematics, 1993, University of Michigan

URL: http://hdl.handle.net/2027.42/103575

► In the standard Coxeter presentation, the symmetric group S_{n} is generated by the adjacent transpositions (1,2), (2,3), ..., (n - 1,n). For any given permutation,…
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Subjects/Keywords: Mathematics

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APA (6^{th} Edition):

Elnitsky, S. (1993). Rhombic tilings of polygons and classes of reduced words in Coxeter groups. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/103575

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

Elnitsky, Serge. “Rhombic tilings of polygons and classes of reduced words in Coxeter groups.” 1993. Doctoral Dissertation, University of Michigan. Accessed November 27, 2020. http://hdl.handle.net/2027.42/103575.

MLA Handbook (7^{th} Edition):

Elnitsky, Serge. “Rhombic tilings of polygons and classes of reduced words in Coxeter groups.” 1993. Web. 27 Nov 2020.

Vancouver:

Elnitsky S. Rhombic tilings of polygons and classes of reduced words in Coxeter groups. [Internet] [Doctoral dissertation]. University of Michigan; 1993. [cited 2020 Nov 27]. Available from: http://hdl.handle.net/2027.42/103575.

Council of Science Editors:

Elnitsky S. Rhombic tilings of polygons and classes of reduced words in Coxeter groups. [Doctoral Dissertation]. University of Michigan; 1993. Available from: http://hdl.handle.net/2027.42/103575

8. Serrano Herrera, Luis Guillermo. Noncommutative Schur P-functions and the Shifted Plactic Monoid.

Degree: PhD, Mathematics, 2010, University of Michigan

URL: http://hdl.handle.net/2027.42/77864

► This thesis is comprised of two related projects involving shifted tableaux. In the first project, we introduce a shifted analog of the plactic monoid of…
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Subjects/Keywords: Combinatorics; Mathematics; Science

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APA (6^{th} Edition):

Serrano Herrera, L. G. (2010). Noncommutative Schur P-functions and the Shifted Plactic Monoid. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/77864

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

Serrano Herrera, Luis Guillermo. “Noncommutative Schur P-functions and the Shifted Plactic Monoid.” 2010. Doctoral Dissertation, University of Michigan. Accessed November 27, 2020. http://hdl.handle.net/2027.42/77864.

MLA Handbook (7^{th} Edition):

Serrano Herrera, Luis Guillermo. “Noncommutative Schur P-functions and the Shifted Plactic Monoid.” 2010. Web. 27 Nov 2020.

Vancouver:

Serrano Herrera LG. Noncommutative Schur P-functions and the Shifted Plactic Monoid. [Internet] [Doctoral dissertation]. University of Michigan; 2010. [cited 2020 Nov 27]. Available from: http://hdl.handle.net/2027.42/77864.

Council of Science Editors:

Serrano Herrera LG. Noncommutative Schur P-functions and the Shifted Plactic Monoid. [Doctoral Dissertation]. University of Michigan; 2010. Available from: http://hdl.handle.net/2027.42/77864

9. 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 November 27, 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. 27 Nov 2020.

Vancouver:

Karpman R. Total Positivity and Network Parametrizations: From Type A to Type C. [Internet] [Doctoral dissertation]. University of Michigan; 2016. [cited 2020 Nov 27]. 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

10. Altschul, Samuel A. Endoscopy for Nilpotent Orbits of G_2.

Degree: PhD, Mathematics, 2013, University of Michigan

URL: http://hdl.handle.net/2027.42/102454

► We find all endoscopic groups of the smallest dimension, split, exceptional, reductive, p-adic group. We then find all stable, nilpotent combinations in the Lie algebra…
(more)

Subjects/Keywords: Representation Theory; Local Langlands Program; Endoscopy; Mathematics; Science

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APA (6^{th} Edition):

Altschul, S. A. (2013). Endoscopy for Nilpotent Orbits of G_2. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/102454

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

Altschul, Samuel A. “Endoscopy for Nilpotent Orbits of G_2.” 2013. Doctoral Dissertation, University of Michigan. Accessed November 27, 2020. http://hdl.handle.net/2027.42/102454.

MLA Handbook (7^{th} Edition):

Altschul, Samuel A. “Endoscopy for Nilpotent Orbits of G_2.” 2013. Web. 27 Nov 2020.

Vancouver:

Altschul SA. Endoscopy for Nilpotent Orbits of G_2. [Internet] [Doctoral dissertation]. University of Michigan; 2013. [cited 2020 Nov 27]. Available from: http://hdl.handle.net/2027.42/102454.

Council of Science Editors:

Altschul SA. Endoscopy for Nilpotent Orbits of G_2. [Doctoral Dissertation]. University of Michigan; 2013. Available from: http://hdl.handle.net/2027.42/102454

11. Simon, Gregory G. Automorphism-invariant Integral Forms in Griess Algebras.

Degree: PhD, Mathematics, 2016, University of Michigan

URL: http://hdl.handle.net/2027.42/133314

► Motivated by the existence of group-invariant integral forms in various vertex operator algebras, we classify maximal automorphism-invariant integral forms in some small-dimensional Griess algebras, which…
(more)

Subjects/Keywords: nonassociative algebras; integral forms; lattices; Mathematics; Science

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APA (6^{th} Edition):

Simon, G. G. (2016). Automorphism-invariant Integral Forms in Griess Algebras. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/133314

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

Simon, Gregory G. “Automorphism-invariant Integral Forms in Griess Algebras.” 2016. Doctoral Dissertation, University of Michigan. Accessed November 27, 2020. http://hdl.handle.net/2027.42/133314.

MLA Handbook (7^{th} Edition):

Simon, Gregory G. “Automorphism-invariant Integral Forms in Griess Algebras.” 2016. Web. 27 Nov 2020.

Vancouver:

Simon GG. Automorphism-invariant Integral Forms in Griess Algebras. [Internet] [Doctoral dissertation]. University of Michigan; 2016. [cited 2020 Nov 27]. Available from: http://hdl.handle.net/2027.42/133314.

Council of Science Editors:

Simon GG. Automorphism-invariant Integral Forms in Griess Algebras. [Doctoral Dissertation]. University of Michigan; 2016. Available from: http://hdl.handle.net/2027.42/133314

12. Chmutov, Michael S. The Structure of W-graphs Arising in Kazhdan-Lusztig Theory.

Degree: PhD, Mathematics, 2014, University of Michigan

URL: http://hdl.handle.net/2027.42/108802

► This thesis is primarily about the combinatorial aspects of Kazhdan-Lusztig theory. Central to this area is the notion of a W-graph, a certain weighted directed…
(more)

Subjects/Keywords: W-graphs; Iwahori-Hecke Algebra; Combinatorial Representation Theory; Mathematics; Science

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APA (6^{th} Edition):

Chmutov, M. S. (2014). The Structure of W-graphs Arising in Kazhdan-Lusztig Theory. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/108802

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

Chmutov, Michael S. “The Structure of W-graphs Arising in Kazhdan-Lusztig Theory.” 2014. Doctoral Dissertation, University of Michigan. Accessed November 27, 2020. http://hdl.handle.net/2027.42/108802.

MLA Handbook (7^{th} Edition):

Chmutov, Michael S. “The Structure of W-graphs Arising in Kazhdan-Lusztig Theory.” 2014. Web. 27 Nov 2020.

Vancouver:

Chmutov MS. The Structure of W-graphs Arising in Kazhdan-Lusztig Theory. [Internet] [Doctoral dissertation]. University of Michigan; 2014. [cited 2020 Nov 27]. Available from: http://hdl.handle.net/2027.42/108802.

Council of Science Editors:

Chmutov MS. The Structure of W-graphs Arising in Kazhdan-Lusztig Theory. [Doctoral Dissertation]. University of Michigan; 2014. Available from: http://hdl.handle.net/2027.42/108802

13. Lassonde, Robin M. Splittings of Non-Finitely Generated Groups.

Degree: PhD, Mathematics, 2012, University of Michigan

URL: http://hdl.handle.net/2027.42/91432

► In geometric group theory one uses group actions on spaces to gain information about groups. One natural space to use is the Cayley graph of…
(more)

Subjects/Keywords: Splittings; Mathematics; Science

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APA (6^{th} Edition):

Lassonde, R. M. (2012). Splittings of Non-Finitely Generated Groups. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/91432

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

Lassonde, Robin M. “Splittings of Non-Finitely Generated Groups.” 2012. Doctoral Dissertation, University of Michigan. Accessed November 27, 2020. http://hdl.handle.net/2027.42/91432.

MLA Handbook (7^{th} Edition):

Lassonde, Robin M. “Splittings of Non-Finitely Generated Groups.” 2012. Web. 27 Nov 2020.

Vancouver:

Lassonde RM. Splittings of Non-Finitely Generated Groups. [Internet] [Doctoral dissertation]. University of Michigan; 2012. [cited 2020 Nov 27]. Available from: http://hdl.handle.net/2027.42/91432.

Council of Science Editors:

Lassonde RM. Splittings of Non-Finitely Generated Groups. [Doctoral Dissertation]. University of Michigan; 2012. Available from: http://hdl.handle.net/2027.42/91432

14. da Cunha, Aubrey. Turing Machines, Cayley Graphs, and Inescapable Groups.

Degree: PhD, Mathematics, 2012, University of Michigan

URL: http://hdl.handle.net/2027.42/94057

► We present a generalization of standard Turing machines based on allowing unusual tapes. We present a set of reasonable constraints on tape geometry and conclude…
(more)

Subjects/Keywords: Turing Machine; Cayley Graph; Turing Degree; Computability; Mathematics; Science

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APA (6^{th} Edition):

da Cunha, A. (2012). Turing Machines, Cayley Graphs, and Inescapable Groups. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/94057

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

da Cunha, Aubrey. “Turing Machines, Cayley Graphs, and Inescapable Groups.” 2012. Doctoral Dissertation, University of Michigan. Accessed November 27, 2020. http://hdl.handle.net/2027.42/94057.

MLA Handbook (7^{th} Edition):

da Cunha, Aubrey. “Turing Machines, Cayley Graphs, and Inescapable Groups.” 2012. Web. 27 Nov 2020.

Vancouver:

da Cunha A. Turing Machines, Cayley Graphs, and Inescapable Groups. [Internet] [Doctoral dissertation]. University of Michigan; 2012. [cited 2020 Nov 27]. Available from: http://hdl.handle.net/2027.42/94057.

Council of Science Editors:

da Cunha A. Turing Machines, Cayley Graphs, and Inescapable Groups. [Doctoral Dissertation]. University of Michigan; 2012. Available from: http://hdl.handle.net/2027.42/94057

15. DeWitt, Elizabeth Angela. Identities Relating Schur s-Functions and Q-Functions.

Degree: PhD, Mathematics, 2012, University of Michigan

URL: http://hdl.handle.net/2027.42/93841

► Schur s- and Q-functions are two important families of symmetric functions, with applications for other fields, such as the representation theory of the symmetric group.…
(more)

Subjects/Keywords: Symmetric Functions; Schur Functions; Q-functions; S-functions; Tableaux; Shifted Tableaux; Mathematics; Science

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APA (6^{th} Edition):

DeWitt, E. A. (2012). Identities Relating Schur s-Functions and Q-Functions. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/93841

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

DeWitt, Elizabeth Angela. “Identities Relating Schur s-Functions and Q-Functions.” 2012. Doctoral Dissertation, University of Michigan. Accessed November 27, 2020. http://hdl.handle.net/2027.42/93841.

MLA Handbook (7^{th} Edition):

DeWitt, Elizabeth Angela. “Identities Relating Schur s-Functions and Q-Functions.” 2012. Web. 27 Nov 2020.

Vancouver:

DeWitt EA. Identities Relating Schur s-Functions and Q-Functions. [Internet] [Doctoral dissertation]. University of Michigan; 2012. [cited 2020 Nov 27]. Available from: http://hdl.handle.net/2027.42/93841.

Council of Science Editors:

DeWitt EA. Identities Relating Schur s-Functions and Q-Functions. [Doctoral Dissertation]. University of Michigan; 2012. Available from: http://hdl.handle.net/2027.42/93841

16. 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 November 27, 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. 27 Nov 2020.

Vancouver:

Block FS. Plane Curves, Node Polynomials, and Floor Diagrams. [Internet] [Doctoral dissertation]. University of Michigan; 2011. [cited 2020 Nov 27]. 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

17. Lee, Seung Jin. Centrally Symmetric Polytopes with Many Faces.

Degree: PhD, Mathematics, 2013, University of Michigan

URL: http://hdl.handle.net/2027.42/99877

► We study the convex hull of the symmetric moment curve U_{k}(t)=(cos t, sin t, cos 3t, sin 3t, ldots, cos (2k-1)t, sin (2k-1)t) in {ℝ}^{2k}…
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Subjects/Keywords: Polytopes; Mathematics; Science

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APA (6^{th} Edition):

Lee, S. J. (2013). Centrally Symmetric Polytopes with Many Faces. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/99877

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

Lee, Seung Jin. “Centrally Symmetric Polytopes with Many Faces.” 2013. Doctoral Dissertation, University of Michigan. Accessed November 27, 2020. http://hdl.handle.net/2027.42/99877.

MLA Handbook (7^{th} Edition):

Lee, Seung Jin. “Centrally Symmetric Polytopes with Many Faces.” 2013. Web. 27 Nov 2020.

Vancouver:

Lee SJ. Centrally Symmetric Polytopes with Many Faces. [Internet] [Doctoral dissertation]. University of Michigan; 2013. [cited 2020 Nov 27]. Available from: http://hdl.handle.net/2027.42/99877.

Council of Science Editors:

Lee SJ. Centrally Symmetric Polytopes with Many Faces. [Doctoral Dissertation]. University of Michigan; 2013. Available from: http://hdl.handle.net/2027.42/99877

18. 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

Record Details Similar Records

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

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 November 27, 2020. http://hdl.handle.net/2027.42/145882.

MLA Handbook (7^{th} Edition):

Leaf, Alexander. “The Kashaev Equation and Related Recurrences.” 2018. Web. 27 Nov 2020.

Vancouver:

Leaf A. The Kashaev Equation and Related Recurrences. [Internet] [Doctoral dissertation]. University of Michigan; 2018. [cited 2020 Nov 27]. 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

19. Kinser, Ryan David. Rank Functors and Representation Rings of Quivers.

Degree: PhD, Mathematics, 2009, University of Michigan

URL: http://hdl.handle.net/2027.42/63764

► The free abelian group *R*(Q) on the set of indecomposable representations of a quiver Q, over a field K, has a ring structure where the…
(more)

Subjects/Keywords: Quiver Representations; Combinatorics; Representation Theory; Associative Algebras; Mathematics; Science

Record Details Similar Records

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

APA (6^{th} Edition):

Kinser, R. D. (2009). Rank Functors and Representation Rings of Quivers. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/63764

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

Kinser, Ryan David. “Rank Functors and Representation Rings of Quivers.” 2009. Doctoral Dissertation, University of Michigan. Accessed November 27, 2020. http://hdl.handle.net/2027.42/63764.

MLA Handbook (7^{th} Edition):

Kinser, Ryan David. “Rank Functors and Representation Rings of Quivers.” 2009. Web. 27 Nov 2020.

Vancouver:

Kinser RD. Rank Functors and Representation Rings of Quivers. [Internet] [Doctoral dissertation]. University of Michigan; 2009. [cited 2020 Nov 27]. Available from: http://hdl.handle.net/2027.42/63764.

Council of Science Editors:

Kinser RD. Rank Functors and Representation Rings of Quivers. [Doctoral Dissertation]. University of Michigan; 2009. Available from: http://hdl.handle.net/2027.42/63764

University of Michigan

20. Talaska, Kelli F. Positivity in Real Grassmannians: Combinatorial Formulas.

Degree: PhD, Mathematics, 2010, University of Michigan

URL: http://hdl.handle.net/2027.42/77689

► The main results of this dissertation are explicit formulas for a combinatorial approach to the study of totally nonnegative Grassmannians. A totally nonnegative Grassmannian consists…
(more)

Subjects/Keywords: Total Positivity; Grassmannians; Planar Networks; Mathematics; Science

Record Details Similar Records

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

APA (6^{th} Edition):

Talaska, K. F. (2010). Positivity in Real Grassmannians: Combinatorial Formulas. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/77689

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

Talaska, Kelli F. “Positivity in Real Grassmannians: Combinatorial Formulas.” 2010. Doctoral Dissertation, University of Michigan. Accessed November 27, 2020. http://hdl.handle.net/2027.42/77689.

MLA Handbook (7^{th} Edition):

Talaska, Kelli F. “Positivity in Real Grassmannians: Combinatorial Formulas.” 2010. Web. 27 Nov 2020.

Vancouver:

Talaska KF. Positivity in Real Grassmannians: Combinatorial Formulas. [Internet] [Doctoral dissertation]. University of Michigan; 2010. [cited 2020 Nov 27]. Available from: http://hdl.handle.net/2027.42/77689.

Council of Science Editors:

Talaska KF. Positivity in Real Grassmannians: Combinatorial Formulas. [Doctoral Dissertation]. University of Michigan; 2010. Available from: http://hdl.handle.net/2027.42/77689