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University of Michigan

1. 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.…
(more)

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

2. 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 August 07, 2020. http://hdl.handle.net/2027.42/113539.

MLA Handbook (7^{th} Edition):

Hathaway, Daniel J. “Generalized Domination.” 2015. Web. 07 Aug 2020.

Vancouver:

Hathaway DJ. Generalized Domination. [Internet] [Doctoral dissertation]. University of Michigan; 2015. [cited 2020 Aug 07]. 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

3. Aaron, Wendy Rose. The Position of the Student in Geometry Instruction: A Study from Three Perspectives.

Degree: PhD, Education Studies, 2011, University of Michigan

URL: http://hdl.handle.net/2027.42/84625

► This study aims to understand the student’s position in instruction. I conceptualize instruction as interactions between the teacher, students, and mathematics, in educational environments (Cohen,…
(more)

Subjects/Keywords: Geometry; Students; High School; Teaching; Proving; Conjecturing; Education; Social Sciences

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APA (6^{th} Edition):

Aaron, W. R. (2011). The Position of the Student in Geometry Instruction: A Study from Three Perspectives. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/84625

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

Aaron, Wendy Rose. “The Position of the Student in Geometry Instruction: A Study from Three Perspectives.” 2011. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/84625.

MLA Handbook (7^{th} Edition):

Aaron, Wendy Rose. “The Position of the Student in Geometry Instruction: A Study from Three Perspectives.” 2011. Web. 07 Aug 2020.

Vancouver:

Aaron WR. The Position of the Student in Geometry Instruction: A Study from Three Perspectives. [Internet] [Doctoral dissertation]. University of Michigan; 2011. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/84625.

Council of Science Editors:

Aaron WR. The Position of the Student in Geometry Instruction: A Study from Three Perspectives. [Doctoral Dissertation]. University of Michigan; 2011. Available from: http://hdl.handle.net/2027.42/84625

University of Michigan

4. Witt, Emily Elspeth. Local Cohomology and Group Actions.

Degree: PhD, Mathematics, 2011, University of Michigan

URL: http://hdl.handle.net/2027.42/86460

► Suppose that k is a field of characteristic zero, X is an r by s matrix of indeterminates, where r is less than or equal…
(more)

Subjects/Keywords: Local Cohomology; Determinantal Ideals; Ideals of Maximal Minors; Mathematics; Science

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APA (6^{th} Edition):

Witt, E. E. (2011). Local Cohomology and Group Actions. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/86460

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

Witt, Emily Elspeth. “Local Cohomology and Group Actions.” 2011. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/86460.

MLA Handbook (7^{th} Edition):

Witt, Emily Elspeth. “Local Cohomology and Group Actions.” 2011. Web. 07 Aug 2020.

Vancouver:

Witt EE. Local Cohomology and Group Actions. [Internet] [Doctoral dissertation]. University of Michigan; 2011. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/86460.

Council of Science Editors:

Witt EE. Local Cohomology and Group Actions. [Doctoral Dissertation]. University of Michigan; 2011. Available from: http://hdl.handle.net/2027.42/86460

University of Michigan

5. Hernandez, Daniel Jesus. F-purity of Hypersurfaces.

Degree: PhD, Mathematics, 2011, University of Michigan

URL: http://hdl.handle.net/2027.42/86491

► Recent work of Hara and Watanabe extends the classical and much-studied notion of F-purity for rings of prime characteristic to the setting of pairs. We…
(more)

Subjects/Keywords: F-purity; F-pure Threshold; Frobenius Morphism; Mathematics; Science

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APA (6^{th} Edition):

Hernandez, D. J. (2011). F-purity of Hypersurfaces. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/86491

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

Hernandez, Daniel Jesus. “F-purity of Hypersurfaces.” 2011. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/86491.

MLA Handbook (7^{th} Edition):

Hernandez, Daniel Jesus. “F-purity of Hypersurfaces.” 2011. Web. 07 Aug 2020.

Vancouver:

Hernandez DJ. F-purity of Hypersurfaces. [Internet] [Doctoral dissertation]. University of Michigan; 2011. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/86491.

Council of Science Editors:

Hernandez DJ. F-purity of Hypersurfaces. [Doctoral Dissertation]. University of Michigan; 2011. Available from: http://hdl.handle.net/2027.42/86491

University of Michigan

6. 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

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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 August 07, 2020. http://hdl.handle.net/2027.42/77689.

MLA Handbook (7^{th} Edition):

Talaska, Kelli F. “Positivity in Real Grassmannians: Combinatorial Formulas.” 2010. Web. 07 Aug 2020.

Vancouver:

Talaska KF. Positivity in Real Grassmannians: Combinatorial Formulas. [Internet] [Doctoral dissertation]. University of Michigan; 2010. [cited 2020 Aug 07]. 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

University of Michigan

7. Stevenson, Matthew John. Applications of Canonical Metrics on Berkovich Spaces.

Degree: PhD, Mathematics, 2019, University of Michigan

URL: http://hdl.handle.net/2027.42/151429

► This thesis examines the nature of Temkin’s canonical metrics on the sheaves of differentials of Berkovich spaces, and discusses 3 applications thereof. First, we show…
(more)

Subjects/Keywords: Algebraic geometry; Non-Archimedean geometry; Berkovich spaces; Mathematics; Science

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APA (6^{th} Edition):

Stevenson, M. J. (2019). Applications of Canonical Metrics on Berkovich Spaces. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/151429

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

Stevenson, Matthew John. “Applications of Canonical Metrics on Berkovich Spaces.” 2019. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/151429.

MLA Handbook (7^{th} Edition):

Stevenson, Matthew John. “Applications of Canonical Metrics on Berkovich Spaces.” 2019. Web. 07 Aug 2020.

Vancouver:

Stevenson MJ. Applications of Canonical Metrics on Berkovich Spaces. [Internet] [Doctoral dissertation]. University of Michigan; 2019. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/151429.

Council of Science Editors:

Stevenson MJ. Applications of Canonical Metrics on Berkovich Spaces. [Doctoral Dissertation]. University of Michigan; 2019. Available from: http://hdl.handle.net/2027.42/151429

University of Michigan

8. 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…
(more)

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

9. Klein, Patricia. Relationships Among Hilbert-Samuel Multiplicities, Koszul Cohomology, and Local Cohomology.

Degree: PhD, Mathematics, 2018, University of Michigan

URL: http://hdl.handle.net/2027.42/145974

► We consider relationships among Hilbert-Samuel multiplicities, Koszul cohomology, and local cohomology. In particular, we investigate upper and lower bounds on the ratio *e*(I,M)/l(M/IM) for m-primary…
(more)

Subjects/Keywords: commutative algebra; homological algebra; Hilbert-Samuel multiplicities; Koszul homology; Lech's inequality; Mathematics; Science

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APA (6^{th} Edition):

Klein, P. (2018). Relationships Among Hilbert-Samuel Multiplicities, Koszul Cohomology, and Local Cohomology. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/145974

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

Klein, Patricia. “Relationships Among Hilbert-Samuel Multiplicities, Koszul Cohomology, and Local Cohomology.” 2018. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/145974.

MLA Handbook (7^{th} Edition):

Klein, Patricia. “Relationships Among Hilbert-Samuel Multiplicities, Koszul Cohomology, and Local Cohomology.” 2018. Web. 07 Aug 2020.

Vancouver:

Klein P. Relationships Among Hilbert-Samuel Multiplicities, Koszul Cohomology, and Local Cohomology. [Internet] [Doctoral dissertation]. University of Michigan; 2018. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/145974.

Council of Science Editors:

Klein P. Relationships Among Hilbert-Samuel Multiplicities, Koszul Cohomology, and Local Cohomology. [Doctoral Dissertation]. University of Michigan; 2018. Available from: http://hdl.handle.net/2027.42/145974

University of Michigan

10. Varma, Umang. A Paucity of Data in Machine Learning: Applications in Single Cell RNA Sequencing and Ranking.

Degree: PhD, Mathematics, 2019, University of Michigan

URL: http://hdl.handle.net/2027.42/153449

► A driving force behind the development of machine learning techniques is the availability of vast amounts of data that are continuously generated and the enormous…
(more)

Subjects/Keywords: single cell RNA-seq; ranking; machine learning; feature selection; pairwise comparisons; Computer Science; Genetics; Mathematics; Statistics and Numeric Data; Engineering; Science

Record Details Similar Records

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APA (6^{th} Edition):

Varma, U. (2019). A Paucity of Data in Machine Learning: Applications in Single Cell RNA Sequencing and Ranking. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/153449

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

Varma, Umang. “A Paucity of Data in Machine Learning: Applications in Single Cell RNA Sequencing and Ranking.” 2019. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/153449.

MLA Handbook (7^{th} Edition):

Varma, Umang. “A Paucity of Data in Machine Learning: Applications in Single Cell RNA Sequencing and Ranking.” 2019. Web. 07 Aug 2020.

Vancouver:

Varma U. A Paucity of Data in Machine Learning: Applications in Single Cell RNA Sequencing and Ranking. [Internet] [Doctoral dissertation]. University of Michigan; 2019. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/153449.

Council of Science Editors:

Varma U. A Paucity of Data in Machine Learning: Applications in Single Cell RNA Sequencing and Ranking. [Doctoral Dissertation]. University of Michigan; 2019. Available from: http://hdl.handle.net/2027.42/153449

University of Michigan

11. 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

12. Holler, John. Learning Dynamics and Reinforcement in Stochastic Games.

Degree: PhD, Mathematics, 2020, University of Michigan

URL: http://hdl.handle.net/2027.42/155158

► The theory of Reinforcement Learning provides learning algorithms that are guaranteed to converge to optimal behavior in single-agent learning environments. While these algorithms often do…
(more)

Subjects/Keywords: game theory; reinforcement learning; deep learning; learning in games; stochastic games; Mathematics; Science

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APA (6^{th} Edition):

Holler, J. (2020). Learning Dynamics and Reinforcement in Stochastic Games. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/155158

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

Holler, John. “Learning Dynamics and Reinforcement in Stochastic Games.” 2020. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/155158.

MLA Handbook (7^{th} Edition):

Holler, John. “Learning Dynamics and Reinforcement in Stochastic Games.” 2020. Web. 07 Aug 2020.

Vancouver:

Holler J. Learning Dynamics and Reinforcement in Stochastic Games. [Internet] [Doctoral dissertation]. University of Michigan; 2020. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/155158.

Council of Science Editors:

Holler J. Learning Dynamics and Reinforcement in Stochastic Games. [Doctoral Dissertation]. University of Michigan; 2020. Available from: http://hdl.handle.net/2027.42/155158

University of Michigan

13. Acosta, Pedro. A Generalized Landau-Ginzburg/Gromov-Witten Correspondence.

Degree: PhD, Mathematics, 2015, University of Michigan

URL: http://hdl.handle.net/2027.42/113514

► The celebrated Landau-Ginzburg/Calabi-Yau correspondence asserts that the Gromov-Witten theory of a Calabi-Yau hypersurface in weighted projective space is equivalent to its corresponding FJRW-theory via analytic…
(more)

Subjects/Keywords: Gromov-Witten theory; LG/CY correspondence; FJRW theory; Mathematics; Science

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APA (6^{th} Edition):

Acosta, P. (2015). A Generalized Landau-Ginzburg/Gromov-Witten Correspondence. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/113514

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

Acosta, Pedro. “A Generalized Landau-Ginzburg/Gromov-Witten Correspondence.” 2015. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/113514.

MLA Handbook (7^{th} Edition):

Acosta, Pedro. “A Generalized Landau-Ginzburg/Gromov-Witten Correspondence.” 2015. Web. 07 Aug 2020.

Vancouver:

Acosta P. A Generalized Landau-Ginzburg/Gromov-Witten Correspondence. [Internet] [Doctoral dissertation]. University of Michigan; 2015. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/113514.

Council of Science Editors:

Acosta P. A Generalized Landau-Ginzburg/Gromov-Witten Correspondence. [Doctoral Dissertation]. University of Michigan; 2015. Available from: http://hdl.handle.net/2027.42/113514

University of Michigan

14. Eisenstein, Eugene. Inversion of Adjunction in High Codimension.

Degree: PhD, Mathematics, 2011, University of Michigan

URL: http://hdl.handle.net/2027.42/86330

► The inversion of adjunction theorems study what happens when singularities of a pair (X, Delta) are restricted to a special subvarieties Z of X, such…
(more)

Subjects/Keywords: Inversion of Adjunction; Restriction Theorem; Multiplier Ideals; Subadjunction; Extension Theorem; Mathematics; Science

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APA (6^{th} Edition):

Eisenstein, E. (2011). Inversion of Adjunction in High Codimension. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/86330

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

Eisenstein, Eugene. “Inversion of Adjunction in High Codimension.” 2011. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/86330.

MLA Handbook (7^{th} Edition):

Eisenstein, Eugene. “Inversion of Adjunction in High Codimension.” 2011. Web. 07 Aug 2020.

Vancouver:

Eisenstein E. Inversion of Adjunction in High Codimension. [Internet] [Doctoral dissertation]. University of Michigan; 2011. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/86330.

Council of Science Editors:

Eisenstein E. Inversion of Adjunction in High Codimension. [Doctoral Dissertation]. University of Michigan; 2011. Available from: http://hdl.handle.net/2027.42/86330

University of Michigan

15. Walton, Chelsea M. On Degenerations and Deformations of Sklyanin Algebras.

Degree: PhD, Mathematics, 2011, University of Michigan

URL: http://hdl.handle.net/2027.42/86397

► A subfield of noncommutative algebra, entitled noncommutative projective algebraic geometry, was launched in the 1980s through Michael Artin, John Tate, William Schelter, and Michel van…
(more)

Subjects/Keywords: Noncommutative Algebra; Noncommutative Algebraic Geometry; Representation Theory; Sklyanin Algebra; Degenerate Sklyanin Algebra; Deformed Sklyanin Algebra; Mathematics; Science

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APA (6^{th} Edition):

Walton, C. M. (2011). On Degenerations and Deformations of Sklyanin Algebras. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/86397

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

Walton, Chelsea M. “On Degenerations and Deformations of Sklyanin Algebras.” 2011. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/86397.

MLA Handbook (7^{th} Edition):

Walton, Chelsea M. “On Degenerations and Deformations of Sklyanin Algebras.” 2011. Web. 07 Aug 2020.

Vancouver:

Walton CM. On Degenerations and Deformations of Sklyanin Algebras. [Internet] [Doctoral dissertation]. University of Michigan; 2011. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/86397.

Council of Science Editors:

Walton CM. On Degenerations and Deformations of Sklyanin Algebras. [Doctoral Dissertation]. University of Michigan; 2011. Available from: http://hdl.handle.net/2027.42/86397

University of Michigan

16. Weiss, Benjamin Leonard. Diophantine Equations With Two Separated Variables.

Degree: PhD, Mathematics, 2011, University of Michigan

URL: http://hdl.handle.net/2027.42/89707

► We classify pairs of polynomials G, H ∈ C[T ] such that G(X ) = H (Y ) defines an irreducible curve of genus zero,…
(more)

Subjects/Keywords: Diophantine Equations; Polynomial Decomposition; Genus of Curve; Mathematics; Science

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APA (6^{th} Edition):

Weiss, B. L. (2011). Diophantine Equations With Two Separated Variables. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/89707

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

Weiss, Benjamin Leonard. “Diophantine Equations With Two Separated Variables.” 2011. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/89707.

MLA Handbook (7^{th} Edition):

Weiss, Benjamin Leonard. “Diophantine Equations With Two Separated Variables.” 2011. Web. 07 Aug 2020.

Vancouver:

Weiss BL. Diophantine Equations With Two Separated Variables. [Internet] [Doctoral dissertation]. University of Michigan; 2011. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/89707.

Council of Science Editors:

Weiss BL. Diophantine Equations With Two Separated Variables. [Doctoral Dissertation]. University of Michigan; 2011. Available from: http://hdl.handle.net/2027.42/89707

University of Michigan

17. Tucker, Kevin F. Jumping Numbers and Multiplier Ideals on Algebraic Surfaces.

Degree: PhD, Mathematics, 2010, University of Michigan

URL: http://hdl.handle.net/2027.42/75933

► This dissertation studies certain invariants of singularities of complex algebraic surfaces. In the first main result, we show that all integrally closed ideals on log…
(more)

Subjects/Keywords: Jumping Numbers; Multiplier Ideals; Algebraic Surfaces; Plane Curves; Singularities; Mathematics; Science

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APA (6^{th} Edition):

Tucker, K. F. (2010). Jumping Numbers and Multiplier Ideals on Algebraic Surfaces. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/75933

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

Tucker, Kevin F. “Jumping Numbers and Multiplier Ideals on Algebraic Surfaces.” 2010. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/75933.

MLA Handbook (7^{th} Edition):

Tucker, Kevin F. “Jumping Numbers and Multiplier Ideals on Algebraic Surfaces.” 2010. Web. 07 Aug 2020.

Vancouver:

Tucker KF. Jumping Numbers and Multiplier Ideals on Algebraic Surfaces. [Internet] [Doctoral dissertation]. University of Michigan; 2010. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/75933.

Council of Science Editors:

Tucker KF. Jumping Numbers and Multiplier Ideals on Algebraic Surfaces. [Doctoral Dissertation]. University of Michigan; 2010. Available from: http://hdl.handle.net/2027.42/75933

University of Michigan

18. Wyman, Brian Kenneth. Polynomial Decomposition Over Rings.

Degree: PhD, Mathematics, 2010, University of Michigan

URL: http://hdl.handle.net/2027.42/77772

► We study of the arithmetic of polynomials under the operation of functional composition, namely, the operation of functional compositon: f(x) ∘ g(x) := f(g(x)). This…
(more)

Subjects/Keywords: Polynomial Decomposition; Number Theory; Algebra; Ring Theory; Polynomial; Mathematics; Science

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APA (6^{th} Edition):

Wyman, B. K. (2010). Polynomial Decomposition Over Rings. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/77772

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

Wyman, Brian Kenneth. “Polynomial Decomposition Over Rings.” 2010. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/77772.

MLA Handbook (7^{th} Edition):

Wyman, Brian Kenneth. “Polynomial Decomposition Over Rings.” 2010. Web. 07 Aug 2020.

Vancouver:

Wyman BK. Polynomial Decomposition Over Rings. [Internet] [Doctoral dissertation]. University of Michigan; 2010. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/77772.

Council of Science Editors:

Wyman BK. Polynomial Decomposition Over Rings. [Doctoral Dissertation]. University of Michigan; 2010. Available from: http://hdl.handle.net/2027.42/77772

University of Michigan

19. 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

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

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

21. 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

University of Michigan

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

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 August 07, 2020. http://hdl.handle.net/2027.42/144158.

MLA Handbook (7^{th} Edition):

Pagi, Gilad. “Enhanced Algorithms For F-Pure Threshold Computation.” 2018. Web. 07 Aug 2020.

Vancouver:

Pagi G. Enhanced Algorithms For F-Pure Threshold Computation. [Internet] [Doctoral dissertation]. University of Michigan; 2018. [cited 2020 Aug 07]. 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

23. Newman, Michael. Applications of Locality and Asymmetry to Quantum Fault-Tolerance.

Degree: PhD, Mathematics, 2018, University of Michigan

URL: http://hdl.handle.net/2027.42/145948

► Quantum computing sounds like something out of a science-fiction novel. If we can exert control over unimaginably small systems, then we can harness their quantum…
(more)

Subjects/Keywords: Quantum Computing; Quantum Error-Correcting Codes; Quantum Fault-Tolerance; Mathematics; Physics; Science

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

APA (6^{th} Edition):

Newman, M. (2018). Applications of Locality and Asymmetry to Quantum Fault-Tolerance. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/145948

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

Newman, Michael. “Applications of Locality and Asymmetry to Quantum Fault-Tolerance.” 2018. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/145948.

MLA Handbook (7^{th} Edition):

Newman, Michael. “Applications of Locality and Asymmetry to Quantum Fault-Tolerance.” 2018. Web. 07 Aug 2020.

Vancouver:

Newman M. Applications of Locality and Asymmetry to Quantum Fault-Tolerance. [Internet] [Doctoral dissertation]. University of Michigan; 2018. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/145948.

Council of Science Editors:

Newman M. Applications of Locality and Asymmetry to Quantum Fault-Tolerance. [Doctoral Dissertation]. University of Michigan; 2018. Available from: http://hdl.handle.net/2027.42/145948

University of Michigan

24. Everlove, Corey. Meromorphic Dirichlet Series.

Degree: PhD, Mathematics, 2018, University of Michigan

URL: http://hdl.handle.net/2027.42/147652

► This thesis studies several problems concerning the meromorphic continuation of Dirichlet series to the complex plane. We show that if a Dirichlet series f(s) has…
(more)

Subjects/Keywords: Dirichlet series; meromorphic continuation; Mathematics; Science

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APA (6^{th} Edition):

Everlove, C. (2018). Meromorphic Dirichlet Series. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/147652

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

Everlove, Corey. “Meromorphic Dirichlet Series.” 2018. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/147652.

MLA Handbook (7^{th} Edition):

Everlove, Corey. “Meromorphic Dirichlet Series.” 2018. Web. 07 Aug 2020.

Vancouver:

Everlove C. Meromorphic Dirichlet Series. [Internet] [Doctoral dissertation]. University of Michigan; 2018. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/147652.

Council of Science Editors:

Everlove C. Meromorphic Dirichlet Series. [Doctoral Dissertation]. University of Michigan; 2018. Available from: http://hdl.handle.net/2027.42/147652

25. Kadish, Harlan. Complexity in Invariant Theory.

Degree: PhD, Mathematics, 2011, University of Michigan

URL: http://hdl.handle.net/2027.42/86381

► Computational invariant theory considers two problems in the representations of algebraic groups: computing generators for rings of polynomial invariant functions, and determining whether two points…
(more)

Subjects/Keywords: Algebraic Group; Separate Orbits; Algorithm; Semisimple Group; Polynomial Time; Generating Invariants; Mathematics; Science

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

APA (6^{th} Edition):

Kadish, H. (2011). Complexity in Invariant Theory. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/86381

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

Kadish, Harlan. “Complexity in Invariant Theory.” 2011. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/86381.

MLA Handbook (7^{th} Edition):

Kadish, Harlan. “Complexity in Invariant Theory.” 2011. Web. 07 Aug 2020.

Vancouver:

Kadish H. Complexity in Invariant Theory. [Internet] [Doctoral dissertation]. University of Michigan; 2011. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/86381.

Council of Science Editors:

Kadish H. Complexity in Invariant Theory. [Doctoral Dissertation]. University of Michigan; 2011. Available from: http://hdl.handle.net/2027.42/86381

26. 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

Record Details Similar Records

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

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

27. Mayes, Sarah Courtney. The Asymptotic Behavior of Generic Initial Systems.

Degree: PhD, Mathematics, 2013, University of Michigan

URL: http://hdl.handle.net/2027.42/98028

► Consider a homogeneous ideal I contained inside of a polynomial ring over a field of characteristic zero with the reverse lexicographic order. The family of…
(more)

Subjects/Keywords: Computational Algebra; Algebraic Geometry; 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):

Mayes, S. C. (2013). The Asymptotic Behavior of Generic Initial Systems. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/98028

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

Mayes, Sarah Courtney. “The Asymptotic Behavior of Generic Initial Systems.” 2013. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/98028.

MLA Handbook (7^{th} Edition):

Mayes, Sarah Courtney. “The Asymptotic Behavior of Generic Initial Systems.” 2013. Web. 07 Aug 2020.

Vancouver:

Mayes SC. The Asymptotic Behavior of Generic Initial Systems. [Internet] [Doctoral dissertation]. University of Michigan; 2013. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/98028.

Council of Science Editors:

Mayes SC. The Asymptotic Behavior of Generic Initial Systems. [Doctoral Dissertation]. University of Michigan; 2013. Available from: http://hdl.handle.net/2027.42/98028

28. Nunez-Betancourt, Luis Cristobal. Finiteness Properties of Local Cohomology.

Degree: PhD, Mathematics, 2013, University of Michigan

URL: http://hdl.handle.net/2027.42/97791

► Local cohomology modules have played an important role in commutative algebra. These modules are usually not finitely generated; however, they have finiteness properties over local…
(more)

Subjects/Keywords: Local Cohomology; Lyubeznik Numbers; Mathematics; Science

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

APA (6^{th} Edition):

Nunez-Betancourt, L. C. (2013). Finiteness Properties of Local Cohomology. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/97791

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

Nunez-Betancourt, Luis Cristobal. “Finiteness Properties of Local Cohomology.” 2013. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/97791.

MLA Handbook (7^{th} Edition):

Nunez-Betancourt, Luis Cristobal. “Finiteness Properties of Local Cohomology.” 2013. Web. 07 Aug 2020.

Vancouver:

Nunez-Betancourt LC. Finiteness Properties of Local Cohomology. [Internet] [Doctoral dissertation]. University of Michigan; 2013. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/97791.

Council of Science Editors:

Nunez-Betancourt LC. Finiteness Properties of Local Cohomology. [Doctoral Dissertation]. University of Michigan; 2013. Available from: http://hdl.handle.net/2027.42/97791

29. Rosen, Julian H. The Arithmetic of Multiple Harmonic Sums.

Degree: PhD, Mathematics, 2013, University of Michigan

URL: http://hdl.handle.net/2027.42/99893

► This dissertation concerns the arithmetic of a family of rational numbers called multiple harmonic sums. These sums are finite truncations of multiple zeta values. We…
(more)

Subjects/Keywords: Multiple Harmonic Sums; Mathematics; Science

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

APA (6^{th} Edition):

Rosen, J. H. (2013). The Arithmetic of Multiple Harmonic Sums. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/99893

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

Rosen, Julian H. “The Arithmetic of Multiple Harmonic Sums.” 2013. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/99893.

MLA Handbook (7^{th} Edition):

Rosen, Julian H. “The Arithmetic of Multiple Harmonic Sums.” 2013. Web. 07 Aug 2020.

Vancouver:

Rosen JH. The Arithmetic of Multiple Harmonic Sums. [Internet] [Doctoral dissertation]. University of Michigan; 2013. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/99893.

Council of Science Editors:

Rosen JH. The Arithmetic of Multiple Harmonic Sums. [Doctoral Dissertation]. University of Michigan; 2013. Available from: http://hdl.handle.net/2027.42/99893

30. Zhu, Zhixian. Topics in Singularities and Jet Schemes.

Degree: PhD, Mathematics, 2013, University of Michigan

URL: http://hdl.handle.net/2027.42/99819

► Jet schemes and arc spaces play important roles in the study of singularities of higher dimensional algebraic varieties. In this dissertation, we prove results in…
(more)

Subjects/Keywords: Singularities; Jet Schemes; Mathematics; Science

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

APA (6^{th} Edition):

Zhu, Z. (2013). Topics in Singularities and Jet Schemes. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/99819

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

Zhu, Zhixian. “Topics in Singularities and Jet Schemes.” 2013. Doctoral Dissertation, University of Michigan. Accessed August 07, 2020. http://hdl.handle.net/2027.42/99819.

MLA Handbook (7^{th} Edition):

Zhu, Zhixian. “Topics in Singularities and Jet Schemes.” 2013. Web. 07 Aug 2020.

Vancouver:

Zhu Z. Topics in Singularities and Jet Schemes. [Internet] [Doctoral dissertation]. University of Michigan; 2013. [cited 2020 Aug 07]. Available from: http://hdl.handle.net/2027.42/99819.

Council of Science Editors:

Zhu Z. Topics in Singularities and Jet Schemes. [Doctoral Dissertation]. University of Michigan; 2013. Available from: http://hdl.handle.net/2027.42/99819