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University of Michigan

1. 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 November 25, 2020. http://hdl.handle.net/2027.42/133477.

MLA Handbook (7^{th} Edition):

Fraser, Christopher. “Correspondences Between Cluster Structures.” 2016. Web. 25 Nov 2020.

Vancouver:

Fraser C. Correspondences Between Cluster Structures. [Internet] [Doctoral dissertation]. University of Michigan; 2016. [cited 2020 Nov 25]. 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

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 November 25, 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. 25 Nov 2020.

Vancouver:

Kim G. Richardson Varieties in a Toric Degeneration of the Flag Variety. [Internet] [Doctoral dissertation]. University of Michigan; 2015. [cited 2020 Nov 25]. 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. Hathaway, Daniel J. Generalized Domination.

Degree: PhD, Mathematics, 2015, University of Michigan

URL: http://hdl.handle.net/2027.42/113539

► This thesis develops the theory of the everywhere domination relation between functions from one infinite cardinal to another. When the domain of the functions is…
(more)

Subjects/Keywords: Set Theory; Mathematics; Science

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APA (6^{th} Edition):

Hathaway, D. J. (2015). Generalized Domination. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/113539

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

Hathaway, Daniel J. “Generalized Domination.” 2015. Doctoral Dissertation, University of Michigan. Accessed November 25, 2020. http://hdl.handle.net/2027.42/113539.

MLA Handbook (7^{th} Edition):

Hathaway, Daniel J. “Generalized Domination.” 2015. Web. 25 Nov 2020.

Vancouver:

Hathaway DJ. Generalized Domination. [Internet] [Doctoral dissertation]. University of Michigan; 2015. [cited 2020 Nov 25]. Available from: http://hdl.handle.net/2027.42/113539.

Council of Science Editors:

Hathaway DJ. Generalized Domination. [Doctoral Dissertation]. University of Michigan; 2015. Available from: http://hdl.handle.net/2027.42/113539

University of Michigan

4. Pagi, Gilad. Enhanced Algorithms For F-Pure Threshold Computation.

Degree: PhD, Mathematics, 2018, University of Michigan

URL: http://hdl.handle.net/2027.42/144158

► We explore different computational techniques for the F-pure threshold invariant of monomial ideals and of polynomials. For the former, we introduce a novel algorithm to…
(more)

Subjects/Keywords: F-pure threshold; Monomial ideals; Elliptic Curves; Schur Congruence; Deuring polynomials, Legendre Polynomials.; Mathematics; Science

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APA (6^{th} Edition):

Pagi, G. (2018). Enhanced Algorithms For F-Pure Threshold Computation. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/144158

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

Pagi, Gilad. “Enhanced Algorithms For F-Pure Threshold Computation.” 2018. Doctoral Dissertation, University of Michigan. Accessed November 25, 2020. http://hdl.handle.net/2027.42/144158.

MLA Handbook (7^{th} Edition):

Pagi, Gilad. “Enhanced Algorithms For F-Pure Threshold Computation.” 2018. Web. 25 Nov 2020.

Vancouver:

Pagi G. Enhanced Algorithms For F-Pure Threshold Computation. [Internet] [Doctoral dissertation]. University of Michigan; 2018. [cited 2020 Nov 25]. Available from: http://hdl.handle.net/2027.42/144158.

Council of Science Editors:

Pagi G. Enhanced Algorithms For F-Pure Threshold Computation. [Doctoral Dissertation]. University of Michigan; 2018. Available from: http://hdl.handle.net/2027.42/144158

University of Michigan

5. 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 November 25, 2020. http://hdl.handle.net/2027.42/140935.

MLA Handbook (7^{th} Edition):

Froehlich, Stefan. “Polyhedral Analysis of Plethysms and Kronecker Coefficients.” 2017. Web. 25 Nov 2020.

Vancouver:

Froehlich S. Polyhedral Analysis of Plethysms and Kronecker Coefficients. [Internet] [Doctoral dissertation]. University of Michigan; 2017. [cited 2020 Nov 25]. 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

6. Yong, Alexander T. F. On combinatorics of degeneracy loci and H*(G/B).

Degree: PhD, Pure Sciences, 2003, University of Michigan

URL: http://hdl.handle.net/2027.42/123756

► This thesis applies combinatorics to obtain formulas for cohomology classes related to the Schubert calculus, an area of enumerative algebraic geometry. We consider two viewpoints:…
(more)

Subjects/Keywords: Algebraic Geometry; Combinatorics; Degeneracy Loci; Schubert Calculus

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APA (6^{th} Edition):

Yong, A. T. F. (2003). On combinatorics of degeneracy loci and H*(G/B). (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/123756

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

Yong, Alexander T F. “On combinatorics of degeneracy loci and H*(G/B).” 2003. Doctoral Dissertation, University of Michigan. Accessed November 25, 2020. http://hdl.handle.net/2027.42/123756.

MLA Handbook (7^{th} Edition):

Yong, Alexander T F. “On combinatorics of degeneracy loci and H*(G/B).” 2003. Web. 25 Nov 2020.

Vancouver:

Yong ATF. On combinatorics of degeneracy loci and H*(G/B). [Internet] [Doctoral dissertation]. University of Michigan; 2003. [cited 2020 Nov 25]. Available from: http://hdl.handle.net/2027.42/123756.

Council of Science Editors:

Yong ATF. On combinatorics of degeneracy loci and H*(G/B). [Doctoral Dissertation]. University of Michigan; 2003. Available from: http://hdl.handle.net/2027.42/123756

7. 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 25, 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. 25 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 25]. 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

8. 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 November 25, 2020. http://hdl.handle.net/2027.42/108931.

MLA Handbook (7^{th} Edition):

Carde, Kevin. “Cluster Algebras and Classical Invariant Rings.” 2014. Web. 25 Nov 2020.

Vancouver:

Carde K. Cluster Algebras and Classical Invariant Rings. [Internet] [Doctoral dissertation]. University of Michigan; 2014. [cited 2020 Nov 25]. 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

9. Hoskins, Jeremy. Diffuse Scattering and Diffuse Optical Tomography on Graphs.

Degree: PhD, Applied and Interdisciplinary Mathematics, 2017, University of Michigan

URL: http://hdl.handle.net/2027.42/138547

► We formulate and analyze difference equations on graphs analogous to time- independent diffusion equations arising in the study of diffuse scattering in con- tinuous media…
(more)

Subjects/Keywords: inverse problems; imaging; inverse Born series; Mathematics; Science

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APA (6^{th} Edition):

Hoskins, J. (2017). Diffuse Scattering and Diffuse Optical Tomography on Graphs. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/138547

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

Hoskins, Jeremy. “Diffuse Scattering and Diffuse Optical Tomography on Graphs.” 2017. Doctoral Dissertation, University of Michigan. Accessed November 25, 2020. http://hdl.handle.net/2027.42/138547.

MLA Handbook (7^{th} Edition):

Hoskins, Jeremy. “Diffuse Scattering and Diffuse Optical Tomography on Graphs.” 2017. Web. 25 Nov 2020.

Vancouver:

Hoskins J. Diffuse Scattering and Diffuse Optical Tomography on Graphs. [Internet] [Doctoral dissertation]. University of Michigan; 2017. [cited 2020 Nov 25]. Available from: http://hdl.handle.net/2027.42/138547.

Council of Science Editors:

Hoskins J. Diffuse Scattering and Diffuse Optical Tomography on Graphs. [Doctoral Dissertation]. University of Michigan; 2017. Available from: http://hdl.handle.net/2027.42/138547

10. 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 25, 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. 25 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 25]. 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

11. 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 November 25, 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. 25 Nov 2020.

Vancouver:

Glick MI. The Pentagram Map: Combinatorial and Geometric Perspectives. [Internet] [Doctoral dissertation]. University of Michigan; 2012. [cited 2020 Nov 25]. 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

12. Zhang, Tengren. Geometry of the Hitchin Component.

Degree: PhD, Mathematics, 2015, University of Michigan

URL: http://hdl.handle.net/2027.42/113605

► We construct a parameterization of the PSL(n,R) Hitchin component that generalizes the Fenchel-Nielsen coordinates on Teichmuller space. Using this parameterization, we study the degeneration of…
(more)

Subjects/Keywords: Hitchin component; geometric structures; cross ratio; triple ratio; Mathematics; Science

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APA (6^{th} Edition):

Zhang, T. (2015). Geometry of the Hitchin Component. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/113605

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

Zhang, Tengren. “Geometry of the Hitchin Component.” 2015. Doctoral Dissertation, University of Michigan. Accessed November 25, 2020. http://hdl.handle.net/2027.42/113605.

MLA Handbook (7^{th} Edition):

Zhang, Tengren. “Geometry of the Hitchin Component.” 2015. Web. 25 Nov 2020.

Vancouver:

Zhang T. Geometry of the Hitchin Component. [Internet] [Doctoral dissertation]. University of Michigan; 2015. [cited 2020 Nov 25]. Available from: http://hdl.handle.net/2027.42/113605.

Council of Science Editors:

Zhang T. Geometry of the Hitchin Component. [Doctoral Dissertation]. University of Michigan; 2015. Available from: http://hdl.handle.net/2027.42/113605

13. 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 (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 November 25, 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. 25 Nov 2020.

Vancouver:

Frieden G. Geometric Lifting of Affine Type A Crystal Combinatorics. [Internet] [Doctoral dissertation]. University of Michigan; 2018. [cited 2020 Nov 25]. 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

14. 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 25, 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. 25 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 25]. 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

15. 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 November 25, 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. 25 Nov 2020.

Vancouver:

Huh J. Rota's Conjecture and Positivity of Algebraic Cycles in Permutohedral Varieties. [Internet] [Doctoral dissertation]. University of Michigan; 2014. [cited 2020 Nov 25]. 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

16. 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 25, 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. 25 Nov 2020.

Vancouver:

DeWitt EA. Identities Relating Schur s-Functions and Q-Functions. [Internet] [Doctoral dissertation]. University of Michigan; 2012. [cited 2020 Nov 25]. 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

17. 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 25, 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. 25 Nov 2020.

Vancouver:

Block FS. Plane Curves, Node Polynomials, and Floor Diagrams. [Internet] [Doctoral dissertation]. University of Michigan; 2011. [cited 2020 Nov 25]. 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

18. Makam, Viswambhara. Invariant Theory, Tensors and Computational Complexity.

Degree: PhD, Mathematics, 2018, University of Michigan

URL: http://hdl.handle.net/2027.42/144049

► The main problem addressed in this dissertation is the problem of giving strong upper bounds on the degree of generators for invariant rings. In the…
(more)

Subjects/Keywords: degree bounds for invariant rings; tensor rank; non-commutative circuits; 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):

Makam, V. (2018). Invariant Theory, Tensors and Computational Complexity. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/144049

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

Makam, Viswambhara. “Invariant Theory, Tensors and Computational Complexity.” 2018. Doctoral Dissertation, University of Michigan. Accessed November 25, 2020. http://hdl.handle.net/2027.42/144049.

MLA Handbook (7^{th} Edition):

Makam, Viswambhara. “Invariant Theory, Tensors and Computational Complexity.” 2018. Web. 25 Nov 2020.

Vancouver:

Makam V. Invariant Theory, Tensors and Computational Complexity. [Internet] [Doctoral dissertation]. University of Michigan; 2018. [cited 2020 Nov 25]. Available from: http://hdl.handle.net/2027.42/144049.

Council of Science Editors:

Makam V. Invariant Theory, Tensors and Computational Complexity. [Doctoral Dissertation]. University of Michigan; 2018. Available from: http://hdl.handle.net/2027.42/144049

19. 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 25, 2020. http://hdl.handle.net/2027.42/145882.

MLA Handbook (7^{th} Edition):

Leaf, Alexander. “The Kashaev Equation and Related Recurrences.” 2018. Web. 25 Nov 2020.

Vancouver:

Leaf A. The Kashaev Equation and Related Recurrences. [Internet] [Doctoral dissertation]. University of Michigan; 2018. [cited 2020 Nov 25]. 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

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

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 November 25, 2020. http://hdl.handle.net/2027.42/107312.

MLA Handbook (7^{th} Edition):

Ford, Nicolas. “Geometric Shifts and Positroid Varieties.” 2014. Web. 25 Nov 2020.

Vancouver:

Ford N. Geometric Shifts and Positroid Varieties. [Internet] [Doctoral dissertation]. University of Michigan; 2014. [cited 2020 Nov 25]. 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

University of Michigan

21. Anderson, David E. Degeneracy loci and G2 Flags.

Degree: PhD, Mathematics, 2009, University of Michigan

URL: http://hdl.handle.net/2027.42/62415

► We define degeneracy loci for vector bundles with structure group G_2, and give formulas for their cohomology (or Chow) classes in terms of the Chern…
(more)

Subjects/Keywords: Degeneracy Loci; Octonions; Exceptional Group; Schubert Calculus; 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):

Anderson, D. E. (2009). Degeneracy loci and G2 Flags. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/62415

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

Anderson, David E. “Degeneracy loci and G2 Flags.” 2009. Doctoral Dissertation, University of Michigan. Accessed November 25, 2020. http://hdl.handle.net/2027.42/62415.

MLA Handbook (7^{th} Edition):

Anderson, David E. “Degeneracy loci and G2 Flags.” 2009. Web. 25 Nov 2020.

Vancouver:

Anderson DE. Degeneracy loci and G2 Flags. [Internet] [Doctoral dissertation]. University of Michigan; 2009. [cited 2020 Nov 25]. Available from: http://hdl.handle.net/2027.42/62415.

Council of Science Editors:

Anderson DE. Degeneracy loci and G2 Flags. [Doctoral Dissertation]. University of Michigan; 2009. Available from: http://hdl.handle.net/2027.42/62415

University of Michigan

22. 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 25, 2020. http://hdl.handle.net/2027.42/77689.

MLA Handbook (7^{th} Edition):

Talaska, Kelli F. “Positivity in Real Grassmannians: Combinatorial Formulas.” 2010. Web. 25 Nov 2020.

Vancouver:

Talaska KF. Positivity in Real Grassmannians: Combinatorial Formulas. [Internet] [Doctoral dissertation]. University of Michigan; 2010. [cited 2020 Nov 25]. 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