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University of Michigan

1. Kaye, Adam Rubin. Arithmetic of the Asai L-function for Hilbert Modular Forms.

Degree: PhD, Mathematics, 2016, University of Michigan

URL: http://hdl.handle.net/2027.42/120693

► Arithmetic of the Asai L-function for Hilbert modular forms Adam Kaye Chair: Kartik Prassanna We prove two results on rationality of special values of the…
(more)

Subjects/Keywords: Number Theory; L-functions; Hilbert modular forms; Special values of L-functions; Beilinson's Conjecture; Mathematics; Science

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APA (6^{th} Edition):

Kaye, A. R. (2016). Arithmetic of the Asai L-function for Hilbert Modular Forms. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/120693

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

Kaye, Adam Rubin. “Arithmetic of the Asai L-function for Hilbert Modular Forms.” 2016. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/120693.

MLA Handbook (7^{th} Edition):

Kaye, Adam Rubin. “Arithmetic of the Asai L-function for Hilbert Modular Forms.” 2016. Web. 13 Aug 2020.

Vancouver:

Kaye AR. Arithmetic of the Asai L-function for Hilbert Modular Forms. [Internet] [Doctoral dissertation]. University of Michigan; 2016. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/120693.

Council of Science Editors:

Kaye AR. Arithmetic of the Asai L-function for Hilbert Modular Forms. [Doctoral Dissertation]. University of Michigan; 2016. Available from: http://hdl.handle.net/2027.42/120693

University of Michigan

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

Degree: PhD, Mathematics, 2016, University of Michigan

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

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

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

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APA (6^{th} Edition):

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

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

Wiltshire-Gordon, John D. “Representation Theory of Combinatorial Categories.” 2016. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/133178.

MLA Handbook (7^{th} Edition):

Wiltshire-Gordon, John D. “Representation Theory of Combinatorial Categories.” 2016. Web. 13 Aug 2020.

Vancouver:

Wiltshire-Gordon JD. Representation Theory of Combinatorial Categories. [Internet] [Doctoral dissertation]. University of Michigan; 2016. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/133178.

Council of Science Editors:

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

University of Michigan

3. Pal, Suchandan. p-adic Uniformization and an Explicit Jacquet-Langlands Isomorphism.

Degree: PhD, Mathematics, 2016, University of Michigan

URL: http://hdl.handle.net/2027.42/133472

► In this thesis, we study modular forms on definite and indefinite quaternion algebras. These spaces are a priori very different. On the definite side they…
(more)

Subjects/Keywords: An Explicit Jacquet-Langlands Isomorphism; Mathematics; Science

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APA (6^{th} Edition):

Pal, S. (2016). p-adic Uniformization and an Explicit Jacquet-Langlands Isomorphism. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/133472

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

Pal, Suchandan. “p-adic Uniformization and an Explicit Jacquet-Langlands Isomorphism.” 2016. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/133472.

MLA Handbook (7^{th} Edition):

Pal, Suchandan. “p-adic Uniformization and an Explicit Jacquet-Langlands Isomorphism.” 2016. Web. 13 Aug 2020.

Vancouver:

Pal S. p-adic Uniformization and an Explicit Jacquet-Langlands Isomorphism. [Internet] [Doctoral dissertation]. University of Michigan; 2016. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/133472.

Council of Science Editors:

Pal S. p-adic Uniformization and an Explicit Jacquet-Langlands Isomorphism. [Doctoral Dissertation]. University of Michigan; 2016. Available from: http://hdl.handle.net/2027.42/133472

University of Michigan

4. Shiehian, Sina. New Applications of Homomorphic Cryptography.

Degree: PhD, Computer Science & Engineering, 2019, University of Michigan

URL: http://hdl.handle.net/2027.42/151672

► Since Gentry's breakthrough construction of fully homomorphic encryption from lattice-based assumptions (STOC 2009), homomorphic cryptography has attracted a lot of attention. In short, homomorphic cryptography…
(more)

Subjects/Keywords: Cryptography; Homomorphic Encryption; Lattices; Computer Science; Engineering

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APA (6^{th} Edition):

Shiehian, S. (2019). New Applications of Homomorphic Cryptography. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/151672

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

Shiehian, Sina. “New Applications of Homomorphic Cryptography.” 2019. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/151672.

MLA Handbook (7^{th} Edition):

Shiehian, Sina. “New Applications of Homomorphic Cryptography.” 2019. Web. 13 Aug 2020.

Vancouver:

Shiehian S. New Applications of Homomorphic Cryptography. [Internet] [Doctoral dissertation]. University of Michigan; 2019. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/151672.

Council of Science Editors:

Shiehian S. New Applications of Homomorphic Cryptography. [Doctoral Dissertation]. University of Michigan; 2019. Available from: http://hdl.handle.net/2027.42/151672

University of Michigan

5. 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 13, 2020. http://hdl.handle.net/2027.42/89707.

MLA Handbook (7^{th} Edition):

Weiss, Benjamin Leonard. “Diophantine Equations With Two Separated Variables.” 2011. Web. 13 Aug 2020.

Vancouver:

Weiss BL. Diophantine Equations With Two Separated Variables. [Internet] [Doctoral dissertation]. University of Michigan; 2011. [cited 2020 Aug 13]. 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

6. 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 13, 2020. http://hdl.handle.net/2027.42/77772.

MLA Handbook (7^{th} Edition):

Wyman, Brian Kenneth. “Polynomial Decomposition Over Rings.” 2010. Web. 13 Aug 2020.

Vancouver:

Wyman BK. Polynomial Decomposition Over Rings. [Internet] [Doctoral dissertation]. University of Michigan; 2010. [cited 2020 Aug 13]. 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

7. 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…
(more)

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 August 13, 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. 13 Aug 2020.

Vancouver:

Hyde T. Polynomial Statistics, Necklace Polynomials, and the Arithmetic Dynamical Mordell-Lang Conjecture. [Internet] [Doctoral dissertation]. University of Michigan; 2019. [cited 2020 Aug 13]. 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

8. 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 13, 2020. http://hdl.handle.net/2027.42/147652.

MLA Handbook (7^{th} Edition):

Everlove, Corey. “Meromorphic Dirichlet Series.” 2018. Web. 13 Aug 2020.

Vancouver:

Everlove C. Meromorphic Dirichlet Series. [Internet] [Doctoral dissertation]. University of Michigan; 2018. [cited 2020 Aug 13]. 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

9. Abram, William C. Equivariant Complex Cobordism.

Degree: PhD, Mathematics, 2013, University of Michigan

URL: http://hdl.handle.net/2027.42/99796

► We begin with a development of equivariant stable homotopy theory relevant to our work, including a new result on shift desuspension of suspension spectra. We…
(more)

Subjects/Keywords: Equivariant Cobordism; Equivariant Formal Group Laws; Equivariant Spectra; RO(G)-Graded (Co)Homology; Isotropy Separation Spectral Sequence; Geometric Fixed Points; Mathematics; Science

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APA (6^{th} Edition):

Abram, W. C. (2013). Equivariant Complex Cobordism. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/99796

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

Abram, William C. “Equivariant Complex Cobordism.” 2013. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/99796.

MLA Handbook (7^{th} Edition):

Abram, William C. “Equivariant Complex Cobordism.” 2013. Web. 13 Aug 2020.

Vancouver:

Abram WC. Equivariant Complex Cobordism. [Internet] [Doctoral dissertation]. University of Michigan; 2013. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/99796.

Council of Science Editors:

Abram WC. Equivariant Complex Cobordism. [Doctoral Dissertation]. University of Michigan; 2013. Available from: http://hdl.handle.net/2027.42/99796

10. Poon, Patrick J. Energy-Efficient Algorithms on Mesh-Connected Systems with Additional Communication Links.

Degree: PhD, Computer Science & Engineering, 2013, University of Michigan

URL: http://hdl.handle.net/2027.42/102474

► Energy consumption has become a critical factor constraining the design of massively parallel computers, necessitating the development of new models and energy-efficient algorithms. In this…
(more)

Subjects/Keywords: Parallel Algorithms; Sorting; Computer Science; Engineering

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APA (6^{th} Edition):

Poon, P. J. (2013). Energy-Efficient Algorithms on Mesh-Connected Systems with Additional Communication Links. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/102474

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

Poon, Patrick J. “Energy-Efficient Algorithms on Mesh-Connected Systems with Additional Communication Links.” 2013. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/102474.

MLA Handbook (7^{th} Edition):

Poon, Patrick J. “Energy-Efficient Algorithms on Mesh-Connected Systems with Additional Communication Links.” 2013. Web. 13 Aug 2020.

Vancouver:

Poon PJ. Energy-Efficient Algorithms on Mesh-Connected Systems with Additional Communication Links. [Internet] [Doctoral dissertation]. University of Michigan; 2013. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/102474.

Council of Science Editors:

Poon PJ. Energy-Efficient Algorithms on Mesh-Connected Systems with Additional Communication Links. [Doctoral Dissertation]. University of Michigan; 2013. Available from: http://hdl.handle.net/2027.42/102474

11. Kim, Wansu. Galois Deformation Theory for Norm Fields and its Arithmetic Applications.

Degree: PhD, Mathematics, 2009, University of Michigan

URL: http://hdl.handle.net/2027.42/63878

► Let K be a finite extension of Q_{p}, and choose a uniformizer pi in K. Choose pi_{n+1} such that pi_{1}:=pi and pi_{n+1}^{p}=pi_{n}, and let K_{infty}…
(more)

Subjects/Keywords: Galois Deformation Theory and P-adic Hodge Theory; Function Field Arithmetic and Local Shtukas; Norm Fields; Mathematics; Science

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APA (6^{th} Edition):

Kim, W. (2009). Galois Deformation Theory for Norm Fields and its Arithmetic Applications. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/63878

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

Kim, Wansu. “Galois Deformation Theory for Norm Fields and its Arithmetic Applications.” 2009. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/63878.

MLA Handbook (7^{th} Edition):

Kim, Wansu. “Galois Deformation Theory for Norm Fields and its Arithmetic Applications.” 2009. Web. 13 Aug 2020.

Vancouver:

Kim W. Galois Deformation Theory for Norm Fields and its Arithmetic Applications. [Internet] [Doctoral dissertation]. University of Michigan; 2009. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/63878.

Council of Science Editors:

Kim W. Galois Deformation Theory for Norm Fields and its Arithmetic Applications. [Doctoral Dissertation]. University of Michigan; 2009. Available from: http://hdl.handle.net/2027.42/63878

12. Haji Akbari Balou, Amir. Thermodynamics of the Hard Tetrahedron System.

Degree: PhD, Chemical Engineering, 2012, University of Michigan

URL: http://hdl.handle.net/2027.42/91590

► The self-assembly of nanoparticles into ordered structures is governed by interaction and shape anisotropy. Recent advancements in the synthesis of faceted nanoparticles and colloids have…
(more)

Subjects/Keywords: Packing; Thermodynamics; Hard Particles; Quasicrystal; Monte Carlo; Free Energy Calculations; Chemical Engineering; Engineering

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APA (6^{th} Edition):

Haji Akbari Balou, A. (2012). Thermodynamics of the Hard Tetrahedron System. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/91590

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

Haji Akbari Balou, Amir. “Thermodynamics of the Hard Tetrahedron System.” 2012. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/91590.

MLA Handbook (7^{th} Edition):

Haji Akbari Balou, Amir. “Thermodynamics of the Hard Tetrahedron System.” 2012. Web. 13 Aug 2020.

Vancouver:

Haji Akbari Balou A. Thermodynamics of the Hard Tetrahedron System. [Internet] [Doctoral dissertation]. University of Michigan; 2012. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/91590.

Council of Science Editors:

Haji Akbari Balou A. Thermodynamics of the Hard Tetrahedron System. [Doctoral Dissertation]. University of Michigan; 2012. Available from: http://hdl.handle.net/2027.42/91590

13. Kopp, Gene. Indefinite Theta Functions and Zeta Functions.

Degree: PhD, Mathematics, 2017, University of Michigan

URL: http://hdl.handle.net/2027.42/140957

► We define an indefinite theta function in dimension g and index 1 whose modular parameter transforms by a symplectic group, generalizing a construction of Sander…
(more)

Subjects/Keywords: number theory; indefinite theta function; zeta function; real quadratic field; Kronecker limit formula; SIC-POVM; Mathematics; Science

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APA (6^{th} Edition):

Kopp, G. (2017). Indefinite Theta Functions and Zeta Functions. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/140957

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

Kopp, Gene. “Indefinite Theta Functions and Zeta Functions.” 2017. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/140957.

MLA Handbook (7^{th} Edition):

Kopp, Gene. “Indefinite Theta Functions and Zeta Functions.” 2017. Web. 13 Aug 2020.

Vancouver:

Kopp G. Indefinite Theta Functions and Zeta Functions. [Internet] [Doctoral dissertation]. University of Michigan; 2017. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/140957.

Council of Science Editors:

Kopp G. Indefinite Theta Functions and Zeta Functions. [Doctoral Dissertation]. University of Michigan; 2017. Available from: http://hdl.handle.net/2027.42/140957

14. Scherr, Zachary L. Rational Polynomial Pell Equations.

Degree: PhD, Mathematics, 2013, University of Michigan

URL: http://hdl.handle.net/2027.42/100026

► Let R denote either the integers or the rationals and let d(x) be a square-free polynomial in R[x]. In this thesis we study the question…
(more)

Subjects/Keywords: Number Theory; Polynomial Pell Equations; Mathematics; Science

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APA (6^{th} Edition):

Scherr, Z. L. (2013). Rational Polynomial Pell Equations. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/100026

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

Scherr, Zachary L. “Rational Polynomial Pell Equations.” 2013. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/100026.

MLA Handbook (7^{th} Edition):

Scherr, Zachary L. “Rational Polynomial Pell Equations.” 2013. Web. 13 Aug 2020.

Vancouver:

Scherr ZL. Rational Polynomial Pell Equations. [Internet] [Doctoral dissertation]. University of Michigan; 2013. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/100026.

Council of Science Editors:

Scherr ZL. Rational Polynomial Pell Equations. [Doctoral Dissertation]. University of Michigan; 2013. Available from: http://hdl.handle.net/2027.42/100026

15. Mueller, Alexander. Applications of Generalized Fermat Varieties to Zeta Functions of Artin-Schreier Curves.

Degree: PhD, Mathematics, 2013, University of Michigan

URL: http://hdl.handle.net/2027.42/99918

► We outline an approach to studying Artin-Schreier curves X_{f} (associated with equations of the form y^{q-y}=f(x)) involving auxiliary varieties of higher dimension. Specifically, for a…
(more)

Subjects/Keywords: Number Theory; Algebraic Geometry; Exponential Sums; Artin-Schreier Curve; Mathematics; Science

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APA (6^{th} Edition):

Mueller, A. (2013). Applications of Generalized Fermat Varieties to Zeta Functions of Artin-Schreier Curves. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/99918

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

Mueller, Alexander. “Applications of Generalized Fermat Varieties to Zeta Functions of Artin-Schreier Curves.” 2013. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/99918.

MLA Handbook (7^{th} Edition):

Mueller, Alexander. “Applications of Generalized Fermat Varieties to Zeta Functions of Artin-Schreier Curves.” 2013. Web. 13 Aug 2020.

Vancouver:

Mueller A. Applications of Generalized Fermat Varieties to Zeta Functions of Artin-Schreier Curves. [Internet] [Doctoral dissertation]. University of Michigan; 2013. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/99918.

Council of Science Editors:

Mueller A. Applications of Generalized Fermat Varieties to Zeta Functions of Artin-Schreier Curves. [Doctoral Dissertation]. University of Michigan; 2013. Available from: http://hdl.handle.net/2027.42/99918

16. Shen, Yefeng. Gromov-Witten Theory of Elliptic Orbifold Projective Lines.

Degree: PhD, Mathematics, 2013, University of Michigan

URL: http://hdl.handle.net/2027.42/99927

► In this dissertation, we prove the Landau-Ginzburg/Calabi-Yau correspondence of all genera holds true for elliptic orbifold projective lines with three orbifold points. More precisely, we…
(more)

Subjects/Keywords: Gromov-Witten Theory; FJRW Theory; LG/CY Correspondence; Global Mirror Symmetry; Modularity; Mathematics; Science

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APA (6^{th} Edition):

Shen, Y. (2013). Gromov-Witten Theory of Elliptic Orbifold Projective Lines. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/99927

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

Shen, Yefeng. “Gromov-Witten Theory of Elliptic Orbifold Projective Lines.” 2013. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/99927.

MLA Handbook (7^{th} Edition):

Shen, Yefeng. “Gromov-Witten Theory of Elliptic Orbifold Projective Lines.” 2013. Web. 13 Aug 2020.

Vancouver:

Shen Y. Gromov-Witten Theory of Elliptic Orbifold Projective Lines. [Internet] [Doctoral dissertation]. University of Michigan; 2013. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/99927.

Council of Science Editors:

Shen Y. Gromov-Witten Theory of Elliptic Orbifold Projective Lines. [Doctoral Dissertation]. University of Michigan; 2013. Available from: http://hdl.handle.net/2027.42/99927

17. Brooks, Ernest Hunter. Generalized Heegner Cycles, Shimura Curves, and Special Values of p-ADIC L-Functions.

Degree: PhD, Mathematics, 2013, University of Michigan

URL: http://hdl.handle.net/2027.42/99928

► We construct "generalized Heegner cycles" on a variety fibered over a Shimura curve, defined over a number field. We show that their images under the…
(more)

Subjects/Keywords: Algebraic Number Theory; Mathematics; Science

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APA (6^{th} Edition):

Brooks, E. H. (2013). Generalized Heegner Cycles, Shimura Curves, and Special Values of p-ADIC L-Functions. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/99928

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

Brooks, Ernest Hunter. “Generalized Heegner Cycles, Shimura Curves, and Special Values of p-ADIC L-Functions.” 2013. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/99928.

MLA Handbook (7^{th} Edition):

Brooks, Ernest Hunter. “Generalized Heegner Cycles, Shimura Curves, and Special Values of p-ADIC L-Functions.” 2013. Web. 13 Aug 2020.

Vancouver:

Brooks EH. Generalized Heegner Cycles, Shimura Curves, and Special Values of p-ADIC L-Functions. [Internet] [Doctoral dissertation]. University of Michigan; 2013. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/99928.

Council of Science Editors:

Brooks EH. Generalized Heegner Cycles, Shimura Curves, and Special Values of p-ADIC L-Functions. [Doctoral Dissertation]. University of Michigan; 2013. Available from: http://hdl.handle.net/2027.42/99928

18. 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…
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Subjects/Keywords: Multiple Harmonic Sums; Mathematics; Science

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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 13, 2020. http://hdl.handle.net/2027.42/99893.

MLA Handbook (7^{th} Edition):

Rosen, Julian H. “The Arithmetic of Multiple Harmonic Sums.” 2013. Web. 13 Aug 2020.

Vancouver:

Rosen JH. The Arithmetic of Multiple Harmonic Sums. [Internet] [Doctoral dissertation]. University of Michigan; 2013. [cited 2020 Aug 13]. 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

19. Fleming, Balin. Arc Schemes in Logarithmic Algebraic Geometry.

Degree: PhD, Mathematics, 2015, University of Michigan

URL: http://hdl.handle.net/2027.42/111507

► We develop the theory of log arc schemes of algebraic varieties, building on prior work by Noguchi, Vojta, Dutter, Karu and Staal, and others on…
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Subjects/Keywords: arc space; log geometry; motivic integration; Mathematics; Science

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APA (6^{th} Edition):

Fleming, B. (2015). Arc Schemes in Logarithmic Algebraic Geometry. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/111507

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

Fleming, Balin. “Arc Schemes in Logarithmic Algebraic Geometry.” 2015. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/111507.

MLA Handbook (7^{th} Edition):

Fleming, Balin. “Arc Schemes in Logarithmic Algebraic Geometry.” 2015. Web. 13 Aug 2020.

Vancouver:

Fleming B. Arc Schemes in Logarithmic Algebraic Geometry. [Internet] [Doctoral dissertation]. University of Michigan; 2015. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/111507.

Council of Science Editors:

Fleming B. Arc Schemes in Logarithmic Algebraic Geometry. [Doctoral Dissertation]. University of Michigan; 2015. Available from: http://hdl.handle.net/2027.42/111507

20. Altman, Harry J. Integer Complexity, Addition Chains, and Well-Ordering.

Degree: PhD, Mathematics, 2014, University of Michigan

URL: http://hdl.handle.net/2027.42/108986

► In this dissertation we consider two notions of the "complexity" of a natural number, one being addition chain length, the other known as "integer complexity".…
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Subjects/Keywords: Integer Complexity; Addition Chains; Well-ordering; Number Theory; Computational Complexity; Algorithms; Mathematics; Science

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

APA (6^{th} Edition):

Altman, H. J. (2014). Integer Complexity, Addition Chains, and Well-Ordering. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/108986

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

Altman, Harry J. “Integer Complexity, Addition Chains, and Well-Ordering.” 2014. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/108986.

MLA Handbook (7^{th} Edition):

Altman, Harry J. “Integer Complexity, Addition Chains, and Well-Ordering.” 2014. Web. 13 Aug 2020.

Vancouver:

Altman HJ. Integer Complexity, Addition Chains, and Well-Ordering. [Internet] [Doctoral dissertation]. University of Michigan; 2014. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/108986.

Council of Science Editors:

Altman HJ. Integer Complexity, Addition Chains, and Well-Ordering. [Doctoral Dissertation]. University of Michigan; 2014. Available from: http://hdl.handle.net/2027.42/108986

21. Ngo, Hieu T. Generalizations of the Lerch zeta function.

Degree: PhD, Mathematics, 2014, University of Michigan

URL: http://hdl.handle.net/2027.42/108812

► The Lerch zeta function is a three-variable generalization of the Riemann zeta function and the Hurwitz zeta function. In this thesis, we study generalizations and…
(more)

Subjects/Keywords: Number Theory; Mathematics; Science

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APA (6^{th} Edition):

Ngo, H. T. (2014). Generalizations of the Lerch zeta function. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/108812

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

Ngo, Hieu T. “Generalizations of the Lerch zeta function.” 2014. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/108812.

MLA Handbook (7^{th} Edition):

Ngo, Hieu T. “Generalizations of the Lerch zeta function.” 2014. Web. 13 Aug 2020.

Vancouver:

Ngo HT. Generalizations of the Lerch zeta function. [Internet] [Doctoral dissertation]. University of Michigan; 2014. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/108812.

Council of Science Editors:

Ngo HT. Generalizations of the Lerch zeta function. [Doctoral Dissertation]. University of Michigan; 2014. Available from: http://hdl.handle.net/2027.42/108812

22. Liu, Sijun. Functional Equations Involving Laurent Polynomials and Meromorphic Functions, with Applications to Dynamics and Diophantine Equations.

Degree: PhD, Mathematics, 2014, University of Michigan

URL: http://hdl.handle.net/2027.42/108867

► In this thesis, our main theorem gives the classification of all Laurent polynomials f(X) such that the numerator of frac{f(X)-f(Y)}{X-Y} has an irreducible factor whose…
(more)

Subjects/Keywords: Diophantine Equation; Functional Equation; Mathematics; Science

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APA (6^{th} Edition):

Liu, S. (2014). Functional Equations Involving Laurent Polynomials and Meromorphic Functions, with Applications to Dynamics and Diophantine Equations. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/108867

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

Liu, Sijun. “Functional Equations Involving Laurent Polynomials and Meromorphic Functions, with Applications to Dynamics and Diophantine Equations.” 2014. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/108867.

MLA Handbook (7^{th} Edition):

Liu, Sijun. “Functional Equations Involving Laurent Polynomials and Meromorphic Functions, with Applications to Dynamics and Diophantine Equations.” 2014. Web. 13 Aug 2020.

Vancouver:

Liu S. Functional Equations Involving Laurent Polynomials and Meromorphic Functions, with Applications to Dynamics and Diophantine Equations. [Internet] [Doctoral dissertation]. University of Michigan; 2014. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/108867.

Council of Science Editors:

Liu S. Functional Equations Involving Laurent Polynomials and Meromorphic Functions, with Applications to Dynamics and Diophantine Equations. [Doctoral Dissertation]. University of Michigan; 2014. Available from: http://hdl.handle.net/2027.42/108867

23. Graves, Hester K. On Euclidean Ideal Classes.

Degree: PhD, Mathematics, 2009, University of Michigan

URL: http://hdl.handle.net/2027.42/63828

► In 1979, H.K.Lenstra generalized the idea of Euclidean algorithms to Euclidean ideal classes. If a domain has a Euclidean algorithm, then it is a principal…
(more)

Subjects/Keywords: Euclidean Ideal Class; Large Sieve; Gupta-Murty Bound; Euclidean; Class Group; Cyclic; Mathematics; Science

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APA (6^{th} Edition):

Graves, H. K. (2009). On Euclidean Ideal Classes. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/63828

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

Graves, Hester K. “On Euclidean Ideal Classes.” 2009. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/63828.

MLA Handbook (7^{th} Edition):

Graves, Hester K. “On Euclidean Ideal Classes.” 2009. Web. 13 Aug 2020.

Vancouver:

Graves HK. On Euclidean Ideal Classes. [Internet] [Doctoral dissertation]. University of Michigan; 2009. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/63828.

Council of Science Editors:

Graves HK. On Euclidean Ideal Classes. [Doctoral Dissertation]. University of Michigan; 2009. Available from: http://hdl.handle.net/2027.42/63828

24. Goldmakher, Leo I. Multiplicative Mimicry and Improvements of the Polya-Vinogradov Inequality.

Degree: PhD, Mathematics, 2009, University of Michigan

URL: http://hdl.handle.net/2027.42/63685

► One of the central problems of analytic number theory is to bound the magnitude of sums of Dirichlet characters. The first breakthrough was made independently…
(more)

Subjects/Keywords: Analytic Number Theory; Improving Bounds on Character Sums; Mathematics; Science

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

APA (6^{th} Edition):

Goldmakher, L. I. (2009). Multiplicative Mimicry and Improvements of the Polya-Vinogradov Inequality. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/63685

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

Goldmakher, Leo I. “Multiplicative Mimicry and Improvements of the Polya-Vinogradov Inequality.” 2009. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/63685.

MLA Handbook (7^{th} Edition):

Goldmakher, Leo I. “Multiplicative Mimicry and Improvements of the Polya-Vinogradov Inequality.” 2009. Web. 13 Aug 2020.

Vancouver:

Goldmakher LI. Multiplicative Mimicry and Improvements of the Polya-Vinogradov Inequality. [Internet] [Doctoral dissertation]. University of Michigan; 2009. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/63685.

Council of Science Editors:

Goldmakher LI. Multiplicative Mimicry and Improvements of the Polya-Vinogradov Inequality. [Doctoral Dissertation]. University of Michigan; 2009. Available from: http://hdl.handle.net/2027.42/63685

25. Spencer, Craig Valere. Analytic Methods for Diophantine Problems.

Degree: PhD, Mathematics, 2008, University of Michigan

URL: http://hdl.handle.net/2027.42/60823

► This thesis studies applications of the circle method to various Diophantine problems. In particular, we explore the following four themes. First, we develop the Bentkus-G"otze-Freeman…
(more)

Subjects/Keywords: Analytic Number Theory; Circle Method; Mathematics; Science

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APA (6^{th} Edition):

Spencer, C. V. (2008). Analytic Methods for Diophantine Problems. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/60823

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

Spencer, Craig Valere. “Analytic Methods for Diophantine Problems.” 2008. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/60823.

MLA Handbook (7^{th} Edition):

Spencer, Craig Valere. “Analytic Methods for Diophantine Problems.” 2008. Web. 13 Aug 2020.

Vancouver:

Spencer CV. Analytic Methods for Diophantine Problems. [Internet] [Doctoral dissertation]. University of Michigan; 2008. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/60823.

Council of Science Editors:

Spencer CV. Analytic Methods for Diophantine Problems. [Doctoral Dissertation]. University of Michigan; 2008. Available from: http://hdl.handle.net/2027.42/60823

26. Jurgelewicz, Brian S. McKay's Correspondence for Klein's Quartic Curve.

Degree: PhD, Mathematics, 2010, University of Michigan

URL: http://hdl.handle.net/2027.42/78854

► The main result of the thesis is a novel construction of several vector bundles on Klein's quartic curve which are PSL_{2}(bb{F}_{7})-invariant, stable, and of degree…
(more)

Subjects/Keywords: McKay Correspondence; Klein's Quartic; Stable Bundles; Cohen-Macaulay Modules; Narasimhan-Seshadri Theorem; Fuchsian Singularities; 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):

Jurgelewicz, B. S. (2010). McKay's Correspondence for Klein's Quartic Curve. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/78854

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

Jurgelewicz, Brian S. “McKay's Correspondence for Klein's Quartic Curve.” 2010. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/78854.

MLA Handbook (7^{th} Edition):

Jurgelewicz, Brian S. “McKay's Correspondence for Klein's Quartic Curve.” 2010. Web. 13 Aug 2020.

Vancouver:

Jurgelewicz BS. McKay's Correspondence for Klein's Quartic Curve. [Internet] [Doctoral dissertation]. University of Michigan; 2010. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/78854.

Council of Science Editors:

Jurgelewicz BS. McKay's Correspondence for Klein's Quartic Curve. [Doctoral Dissertation]. University of Michigan; 2010. Available from: http://hdl.handle.net/2027.42/78854

27. Sun, Xinyun. CM p-divisible Groups over Finite Fields.

Degree: PhD, Mathematics, 2011, University of Michigan

URL: http://hdl.handle.net/2027.42/84531

► The primary motivation for this dissertation is to further the study of CM lifting of abelian varieties based on work by Chai, Conrad, and Oort.…
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Subjects/Keywords: CM P-divisible Group; Mathematics; Science

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

APA (6^{th} Edition):

Sun, X. (2011). CM p-divisible Groups over Finite Fields. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/84531

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

Sun, Xinyun. “CM p-divisible Groups over Finite Fields.” 2011. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/84531.

MLA Handbook (7^{th} Edition):

Sun, Xinyun. “CM p-divisible Groups over Finite Fields.” 2011. Web. 13 Aug 2020.

Vancouver:

Sun X. CM p-divisible Groups over Finite Fields. [Internet] [Doctoral dissertation]. University of Michigan; 2011. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/84531.

Council of Science Editors:

Sun X. CM p-divisible Groups over Finite Fields. [Doctoral Dissertation]. University of Michigan; 2011. Available from: http://hdl.handle.net/2027.42/84531

28. Chen, Elizabeth R. A Picturebook of Tetrahedral Packings.

Degree: PhD, Mathematics, 2010, University of Michigan

URL: http://hdl.handle.net/2027.42/75860

► We explore many different packings of regular tetrahedra, with various clusters & lattices & symmetry groups. We construct a dense packing of regular tetrahedra, with…
(more)

Subjects/Keywords: Crystallography; Lattice; Packing; Tetrahedra; Regular Solid; Hilbert Problem; Science

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

APA (6^{th} Edition):

Chen, E. R. (2010). A Picturebook of Tetrahedral Packings. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/75860

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

Chen, Elizabeth R. “A Picturebook of Tetrahedral Packings.” 2010. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/75860.

MLA Handbook (7^{th} Edition):

Chen, Elizabeth R. “A Picturebook of Tetrahedral Packings.” 2010. Web. 13 Aug 2020.

Vancouver:

Chen ER. A Picturebook of Tetrahedral Packings. [Internet] [Doctoral dissertation]. University of Michigan; 2010. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/75860.

Council of Science Editors:

Chen ER. A Picturebook of Tetrahedral Packings. [Doctoral Dissertation]. University of Michigan; 2010. Available from: http://hdl.handle.net/2027.42/75860

29. Jia, Johnson X. Arithmetic of the Yoshida Lift.

Degree: PhD, Mathematics, 2010, University of Michigan

URL: http://hdl.handle.net/2027.42/77876

► Co-Chairs: Stephen M. DeBacker and Christopher M. Skinner This thesis concerns the arithmetic properties of the Yoshida lift, Y, which is a scalar- valued holomorphic…
(more)

Subjects/Keywords: Yoshida Lift; Theta Lifts; Automorphic Forms; Non-vanishing; GSp_4; Integrality; Mathematics; Science

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

APA (6^{th} Edition):

Jia, J. X. (2010). Arithmetic of the Yoshida Lift. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/77876

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

Jia, Johnson X. “Arithmetic of the Yoshida Lift.” 2010. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/77876.

MLA Handbook (7^{th} Edition):

Jia, Johnson X. “Arithmetic of the Yoshida Lift.” 2010. Web. 13 Aug 2020.

Vancouver:

Jia JX. Arithmetic of the Yoshida Lift. [Internet] [Doctoral dissertation]. University of Michigan; 2010. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/77876.

Council of Science Editors:

Jia JX. Arithmetic of the Yoshida Lift. [Doctoral Dissertation]. University of Michigan; 2010. Available from: http://hdl.handle.net/2027.42/77876

30. Mishchenko, Andrey Mikhaylovich. Rigidity of Thin Disk Configurations.

Degree: PhD, Mathematics, 2012, University of Michigan

URL: http://hdl.handle.net/2027.42/95930

► The main result of this thesis is a rigidity theorem for configurations of closed disks in the plane. More precisely, fix two collections *C* and…
(more)

Subjects/Keywords: Circle Packing; Fixed-point Index; Discrete Complex Analysis; Plane Geometry; Mathematics; Science

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

APA (6^{th} Edition):

Mishchenko, A. M. (2012). Rigidity of Thin Disk Configurations. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/95930

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

Mishchenko, Andrey Mikhaylovich. “Rigidity of Thin Disk Configurations.” 2012. Doctoral Dissertation, University of Michigan. Accessed August 13, 2020. http://hdl.handle.net/2027.42/95930.

MLA Handbook (7^{th} Edition):

Mishchenko, Andrey Mikhaylovich. “Rigidity of Thin Disk Configurations.” 2012. Web. 13 Aug 2020.

Vancouver:

Mishchenko AM. Rigidity of Thin Disk Configurations. [Internet] [Doctoral dissertation]. University of Michigan; 2012. [cited 2020 Aug 13]. Available from: http://hdl.handle.net/2027.42/95930.

Council of Science Editors:

Mishchenko AM. Rigidity of Thin Disk Configurations. [Doctoral Dissertation]. University of Michigan; 2012. Available from: http://hdl.handle.net/2027.42/95930