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University of Michigan

1. Yin, Qian. Lattes Maps and Combinatorial Expansion.

Degree: PhD, Mathematics, 2011, University of Michigan

URL: http://hdl.handle.net/2027.42/86524

► A Lattes map f : C → C is a rational map that is obtained from a finite quotient of a conformal torus endomorphism. In…
(more)

Subjects/Keywords: Lattes Maps; Thurston Maps; Sphere; Postcritically Finite; Mathematics; Science

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APA (6^{th} Edition):

Yin, Q. (2011). Lattes Maps and Combinatorial Expansion. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/86524

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

Yin, Qian. “Lattes Maps and Combinatorial Expansion.” 2011. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/86524.

MLA Handbook (7^{th} Edition):

Yin, Qian. “Lattes Maps and Combinatorial Expansion.” 2011. Web. 24 Oct 2020.

Vancouver:

Yin Q. Lattes Maps and Combinatorial Expansion. [Internet] [Doctoral dissertation]. University of Michigan; 2011. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/86524.

Council of Science Editors:

Yin Q. Lattes Maps and Combinatorial Expansion. [Doctoral Dissertation]. University of Michigan; 2011. Available from: http://hdl.handle.net/2027.42/86524

University of Michigan

2. Ross, Amanda. Summary of Dissertation Recitals.

Degree: AMU, Music: Performance, 2020, University of Michigan

URL: http://hdl.handle.net/2027.42/155182

► Three trumpet recitals were given in lieu of a dissertation. Monday, September 9, 2019, 8:00 p.m.; The *University* of *Michigan*, Stamps Auditorium, Walgreen Drama Center,…
(more)

Subjects/Keywords: trumpet; trumpet recital; Music and Dance; Arts

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APA (6^{th} Edition):

Ross, A. (2020). Summary of Dissertation Recitals. (Thesis). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/155182

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

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

Ross, Amanda. “Summary of Dissertation Recitals.” 2020. Thesis, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/155182.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Ross, Amanda. “Summary of Dissertation Recitals.” 2020. Web. 24 Oct 2020.

Vancouver:

Ross A. Summary of Dissertation Recitals. [Internet] [Thesis]. University of Michigan; 2020. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/155182.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ross A. Summary of Dissertation Recitals. [Thesis]. University of Michigan; 2020. Available from: http://hdl.handle.net/2027.42/155182

Not specified: Masters Thesis or Doctoral Dissertation

University of Michigan

3. 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 October 24, 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. 24 Oct 2020.

Vancouver:

Stevenson MJ. Applications of Canonical Metrics on Berkovich Spaces. [Internet] [Doctoral dissertation]. University of Michigan; 2019. [cited 2020 Oct 24]. 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

4. Gill, Montek Singh. Stabilizations of E_infinity Operads and p-Adic Stable Homotopy Theory.

Degree: PhD, Mathematics, 2020, University of Michigan

URL: http://hdl.handle.net/2027.42/155149

► In this thesis, we study differential graded operads and p-adic stable homotopy theory. We first construct a new class of differential graded operads, which we…
(more)

Subjects/Keywords: p-adic stable homotopy theory; differential graded operads; cohomology operations; steenrod algebra; Mathematics; Science

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APA (6^{th} Edition):

Gill, M. S. (2020). Stabilizations of E_infinity Operads and p-Adic Stable Homotopy Theory. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/155149

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

Gill, Montek Singh. “Stabilizations of E_infinity Operads and p-Adic Stable Homotopy Theory.” 2020. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/155149.

MLA Handbook (7^{th} Edition):

Gill, Montek Singh. “Stabilizations of E_infinity Operads and p-Adic Stable Homotopy Theory.” 2020. Web. 24 Oct 2020.

Vancouver:

Gill MS. Stabilizations of E_infinity Operads and p-Adic Stable Homotopy Theory. [Internet] [Doctoral dissertation]. University of Michigan; 2020. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/155149.

Council of Science Editors:

Gill MS. Stabilizations of E_infinity Operads and p-Adic Stable Homotopy Theory. [Doctoral Dissertation]. University of Michigan; 2020. Available from: http://hdl.handle.net/2027.42/155149

University of Michigan

5. Du, Lara Yue. Superirreducibility of Polynomials, Binomial Coefficient Asymptotics and Stories from my Classroom.

Degree: PhD, Mathematics, 2020, University of Michigan

URL: http://hdl.handle.net/2027.42/162876

► In the first main section of this thesis, I investigate superirreducible polynomials over fields of positive characteristic and also over Q and Z. An n-superirreducible…
(more)

Subjects/Keywords: superirreducibility; polynomials; binomial coefficients; Farey fractions; teaching mathematics; Mathematics; Science

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APA (6^{th} Edition):

Du, L. Y. (2020). Superirreducibility of Polynomials, Binomial Coefficient Asymptotics and Stories from my Classroom. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/162876

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

Du, Lara Yue. “Superirreducibility of Polynomials, Binomial Coefficient Asymptotics and Stories from my Classroom.” 2020. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/162876.

MLA Handbook (7^{th} Edition):

Du, Lara Yue. “Superirreducibility of Polynomials, Binomial Coefficient Asymptotics and Stories from my Classroom.” 2020. Web. 24 Oct 2020.

Vancouver:

Du LY. Superirreducibility of Polynomials, Binomial Coefficient Asymptotics and Stories from my Classroom. [Internet] [Doctoral dissertation]. University of Michigan; 2020. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/162876.

Council of Science Editors:

Du LY. Superirreducibility of Polynomials, Binomial Coefficient Asymptotics and Stories from my Classroom. [Doctoral Dissertation]. University of Michigan; 2020. Available from: http://hdl.handle.net/2027.42/162876

University of Michigan

6. Richman, David. Weierstrass Points and Torsion Points on Tropical Curves.

Degree: PhD, Mathematics, 2020, University of Michigan

URL: http://hdl.handle.net/2027.42/162903

► We investigate two constructions on metric graphs, using the framework of tropical geometry. On a metric circle, i.e. a genus 1 tropical curve, each of…
(more)

Subjects/Keywords: tropical curve; metric graph; Weierstrass point; torsion; Jacobian; resistor network; Mathematics; Science

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APA (6^{th} Edition):

Richman, D. (2020). Weierstrass Points and Torsion Points on Tropical Curves. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/162903

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

Richman, David. “Weierstrass Points and Torsion Points on Tropical Curves.” 2020. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/162903.

MLA Handbook (7^{th} Edition):

Richman, David. “Weierstrass Points and Torsion Points on Tropical Curves.” 2020. Web. 24 Oct 2020.

Vancouver:

Richman D. Weierstrass Points and Torsion Points on Tropical Curves. [Internet] [Doctoral dissertation]. University of Michigan; 2020. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/162903.

Council of Science Editors:

Richman D. Weierstrass Points and Torsion Points on Tropical Curves. [Doctoral Dissertation]. University of Michigan; 2020. Available from: http://hdl.handle.net/2027.42/162903

University of Michigan

7. Powell, Jasmine. Mapping Class Groups of Rational Maps.

Degree: PhD, Mathematics, 2020, University of Michigan

URL: http://hdl.handle.net/2027.42/163074

► Given a rational map f degree at least 2, it follows from work done by McMullen and Sullivan that in certain circumstances, the pure mapping…
(more)

Subjects/Keywords: complex dynamics; mapping class groups; Mathematics; Science

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APA (6^{th} Edition):

Powell, J. (2020). Mapping Class Groups of Rational Maps. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/163074

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

Powell, Jasmine. “Mapping Class Groups of Rational Maps.” 2020. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/163074.

MLA Handbook (7^{th} Edition):

Powell, Jasmine. “Mapping Class Groups of Rational Maps.” 2020. Web. 24 Oct 2020.

Vancouver:

Powell J. Mapping Class Groups of Rational Maps. [Internet] [Doctoral dissertation]. University of Michigan; 2020. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/163074.

Council of Science Editors:

Powell J. Mapping Class Groups of Rational Maps. [Doctoral Dissertation]. University of Michigan; 2020. Available from: http://hdl.handle.net/2027.42/163074

University of Michigan

8. Parra Casta, Manuel Rodrigo. Currents and Equidistribution in Holomorphic Dynamics.

Degree: PhD, Mathematics, 2011, University of Michigan

URL: http://hdl.handle.net/2027.42/89619

► Given a holomorphic self-map of complex projective space of degree larger than one, we prove that there exists a finite collection of totally invariant algebraic…
(more)

Subjects/Keywords: Dynamical Systems; Equidistributiom; Ergodic Theory; Green Current; Mathematics; Science

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APA (6^{th} Edition):

Parra Casta, M. R. (2011). Currents and Equidistribution in Holomorphic Dynamics. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/89619

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

Parra Casta, Manuel Rodrigo. “Currents and Equidistribution in Holomorphic Dynamics.” 2011. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/89619.

MLA Handbook (7^{th} Edition):

Parra Casta, Manuel Rodrigo. “Currents and Equidistribution in Holomorphic Dynamics.” 2011. Web. 24 Oct 2020.

Vancouver:

Parra Casta MR. Currents and Equidistribution in Holomorphic Dynamics. [Internet] [Doctoral dissertation]. University of Michigan; 2011. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/89619.

Council of Science Editors:

Parra Casta MR. Currents and Equidistribution in Holomorphic Dynamics. [Doctoral Dissertation]. University of Michigan; 2011. Available from: http://hdl.handle.net/2027.42/89619

University of Michigan

9. Gupta, Purvi. Fefferman's Hypersurface Measure and Volume Approximation Problems.

Degree: PhD, Mathematics, 2015, University of Michigan

URL: http://hdl.handle.net/2027.42/113509

► In this thesis, we give some alternate characterizations of Fefferman's hypersurface measure on the boundary of a strongly pseudoconvex domain in complex Euclidean space. Our…
(more)

Subjects/Keywords: Fefferman's measure; Polyhedral approximations in complex analysis; volume-preserving biholomorphisms; Mathematics; Science

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APA (6^{th} Edition):

Gupta, P. (2015). Fefferman's Hypersurface Measure and Volume Approximation Problems. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/113509

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

Gupta, Purvi. “Fefferman's Hypersurface Measure and Volume Approximation Problems.” 2015. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/113509.

MLA Handbook (7^{th} Edition):

Gupta, Purvi. “Fefferman's Hypersurface Measure and Volume Approximation Problems.” 2015. Web. 24 Oct 2020.

Vancouver:

Gupta P. Fefferman's Hypersurface Measure and Volume Approximation Problems. [Internet] [Doctoral dissertation]. University of Michigan; 2015. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/113509.

Council of Science Editors:

Gupta P. Fefferman's Hypersurface Measure and Volume Approximation Problems. [Doctoral Dissertation]. University of Michigan; 2015. Available from: http://hdl.handle.net/2027.42/113509

University of Michigan

10. Choi, Jungmin. Partial hedging in financial markets with a large agent.

Degree: PhD, Pure Sciences, 2006, University of Michigan

URL: http://hdl.handle.net/2027.42/125636

► We investigate the partial hedging problem in financial markets with a large agent. An agent is said to be large if his/her trades influence the…
(more)

Subjects/Keywords: Bellman Partial Differential Equations; Financial Markets; Large Agent; Legendre Transform; Partial Hedging

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APA (6^{th} Edition):

Choi, J. (2006). Partial hedging in financial markets with a large agent. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/125636

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

Choi, Jungmin. “Partial hedging in financial markets with a large agent.” 2006. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/125636.

MLA Handbook (7^{th} Edition):

Choi, Jungmin. “Partial hedging in financial markets with a large agent.” 2006. Web. 24 Oct 2020.

Vancouver:

Choi J. Partial hedging in financial markets with a large agent. [Internet] [Doctoral dissertation]. University of Michigan; 2006. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/125636.

Council of Science Editors:

Choi J. Partial hedging in financial markets with a large agent. [Doctoral Dissertation]. University of Michigan; 2006. Available from: http://hdl.handle.net/2027.42/125636

11. Faraggi, Alberto T. Holographic Wilson Loops and Fermions in Consistent Truncations of String Theory and M-Theory.

Degree: PhD, Physics, 2012, University of Michigan

URL: http://hdl.handle.net/2027.42/93924

► In the holographic framework, a half-BPS Wilson loop in N=4 supersymmetric Yang-Mills theory in the fundamental, symmetric or antisymmetric representation of SU(N), is best described…
(more)

Subjects/Keywords: Holography; AdS/CFT; Physics; Science

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APA (6^{th} Edition):

Faraggi, A. T. (2012). Holographic Wilson Loops and Fermions in Consistent Truncations of String Theory and M-Theory. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/93924

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

Faraggi, Alberto T. “Holographic Wilson Loops and Fermions in Consistent Truncations of String Theory and M-Theory.” 2012. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/93924.

MLA Handbook (7^{th} Edition):

Faraggi, Alberto T. “Holographic Wilson Loops and Fermions in Consistent Truncations of String Theory and M-Theory.” 2012. Web. 24 Oct 2020.

Vancouver:

Faraggi AT. Holographic Wilson Loops and Fermions in Consistent Truncations of String Theory and M-Theory. [Internet] [Doctoral dissertation]. University of Michigan; 2012. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/93924.

Council of Science Editors:

Faraggi AT. Holographic Wilson Loops and Fermions in Consistent Truncations of String Theory and M-Theory. [Doctoral Dissertation]. University of Michigan; 2012. Available from: http://hdl.handle.net/2027.42/93924

12. Blum, Harold. Singularities and K-stability.

Degree: PhD, Mathematics, 2018, University of Michigan

URL: http://hdl.handle.net/2027.42/146044

► We study invariants of singularities that have arisen in connection with the K-stability of Fano varieties. The first invariant we consider is Li's normalized volume…
(more)

Subjects/Keywords: singularities, log canonical thresholds, valuations, K-stability; Mathematics; Science

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APA (6^{th} Edition):

Blum, H. (2018). Singularities and K-stability. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/146044

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

Blum, Harold. “Singularities and K-stability.” 2018. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/146044.

MLA Handbook (7^{th} Edition):

Blum, Harold. “Singularities and K-stability.” 2018. Web. 24 Oct 2020.

Vancouver:

Blum H. Singularities and K-stability. [Internet] [Doctoral dissertation]. University of Michigan; 2018. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/146044.

Council of Science Editors:

Blum H. Singularities and K-stability. [Doctoral Dissertation]. University of Michigan; 2018. Available from: http://hdl.handle.net/2027.42/146044

13. Zhou, Zhou. Topics in Optimal Stopping and Fundamental Theorem of Asset Pricing.

Degree: PhD, Applied and Interdisciplinary Mathematics, 2015, University of Michigan

URL: http://hdl.handle.net/2027.42/111416

► In this thesis, we investigate several problems in optimal stopping and fundamental theorem of asset pricing (FTAP). In Chapter II, we study the controller-stopper problems…
(more)

Subjects/Keywords: optimal stopping; stopping game; fundamental theorem of asset pricing; hedging duality; semi-static trading strategy; Mathematics; Science

…have been presented at the Financial/Actuarial Mathematics Seminar,
*University* *of* *Michigan*… …Seminar,
*University* *of* *Michigan*, December 10, 2014; Trading and Portfolio Theory, University
of… …the Financial/Actuarial Mathematics Seminar, *University* *of* *Michigan*,
4
December 10, 2014… …Actuarial Mathematics Seminar, *University* *of* *Michigan*, March 26,
2014.
In Chapter VII, we consider… …Actuarial Mathematics Seminar, *University* *of*
*Michigan*, January 29, 2014.
In Chapter IX, we…

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

APA (6^{th} Edition):

Zhou, Z. (2015). Topics in Optimal Stopping and Fundamental Theorem of Asset Pricing. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/111416

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

Zhou, Zhou. “Topics in Optimal Stopping and Fundamental Theorem of Asset Pricing.” 2015. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/111416.

MLA Handbook (7^{th} Edition):

Zhou, Zhou. “Topics in Optimal Stopping and Fundamental Theorem of Asset Pricing.” 2015. Web. 24 Oct 2020.

Vancouver:

Zhou Z. Topics in Optimal Stopping and Fundamental Theorem of Asset Pricing. [Internet] [Doctoral dissertation]. University of Michigan; 2015. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/111416.

Council of Science Editors:

Zhou Z. Topics in Optimal Stopping and Fundamental Theorem of Asset Pricing. [Doctoral Dissertation]. University of Michigan; 2015. Available from: http://hdl.handle.net/2027.42/111416

14. Datta, Rankeya. A Tale of Valuation Rings in Prime Characteristic.

Degree: PhD, Mathematics, 2018, University of Michigan

URL: http://hdl.handle.net/2027.42/146066

► We examine valuation rings in prime characteristic from the lens of singularity theory defined using the Frobenius map. We show that valuation rings are always…
(more)

Subjects/Keywords: Valuation theory, Frobenius, prime characteristic singularity theory, excellent rings, F-purity, Frobenius splitting, F-finiteness, F-regularity; Uniform approximation of valuation ideals, local monomialization, test ideals, asymptotic test ideals; local algebra; Mathematics; Science

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APA (6^{th} Edition):

Datta, R. (2018). A Tale of Valuation Rings in Prime Characteristic. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/146066

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

Datta, Rankeya. “A Tale of Valuation Rings in Prime Characteristic.” 2018. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/146066.

MLA Handbook (7^{th} Edition):

Datta, Rankeya. “A Tale of Valuation Rings in Prime Characteristic.” 2018. Web. 24 Oct 2020.

Vancouver:

Datta R. A Tale of Valuation Rings in Prime Characteristic. [Internet] [Doctoral dissertation]. University of Michigan; 2018. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/146066.

Council of Science Editors:

Datta R. A Tale of Valuation Rings in Prime Characteristic. [Doctoral Dissertation]. University of Michigan; 2018. Available from: http://hdl.handle.net/2027.42/146066

15. Rabindranath, Ashwath. Pseudoeffective Cones and Morphisms of Projective Varieties.

Degree: PhD, Mathematics, 2018, University of Michigan

URL: http://hdl.handle.net/2027.42/146074

► The cycles on an algebraic variety contain a great deal of information about its geometry. This thesis is concerned with the pseudoeffective cone obtained by…
(more)

Subjects/Keywords: pseudoeffective cones; Mathematics; Science

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APA (6^{th} Edition):

Rabindranath, A. (2018). Pseudoeffective Cones and Morphisms of Projective Varieties. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/146074

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

Rabindranath, Ashwath. “Pseudoeffective Cones and Morphisms of Projective Varieties.” 2018. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/146074.

MLA Handbook (7^{th} Edition):

Rabindranath, Ashwath. “Pseudoeffective Cones and Morphisms of Projective Varieties.” 2018. Web. 24 Oct 2020.

Vancouver:

Rabindranath A. Pseudoeffective Cones and Morphisms of Projective Varieties. [Internet] [Doctoral dissertation]. University of Michigan; 2018. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/146074.

Council of Science Editors:

Rabindranath A. Pseudoeffective Cones and Morphisms of Projective Varieties. [Doctoral Dissertation]. University of Michigan; 2018. Available from: http://hdl.handle.net/2027.42/146074

16. Gu, Huaiying. Value-at-Risk (VaR) and Dynamic Portfolio Selection.

Degree: PhD, Applied and Interdisciplinary Mathematics, 2013, University of Michigan

URL: http://hdl.handle.net/2027.42/100051

► In this study, we analyze the combination of VaR and dynamic portfolio selection strategy. First, we notice the unrealistic assumption of no adjustment in the…
(more)

Subjects/Keywords: Value-at-Risk (VaR), Basel, Optimal Portfolio Selection; Mathematics; Science

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APA (6^{th} Edition):

Gu, H. (2013). Value-at-Risk (VaR) and Dynamic Portfolio Selection. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/100051

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

Gu, Huaiying. “Value-at-Risk (VaR) and Dynamic Portfolio Selection.” 2013. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/100051.

MLA Handbook (7^{th} Edition):

Gu, Huaiying. “Value-at-Risk (VaR) and Dynamic Portfolio Selection.” 2013. Web. 24 Oct 2020.

Vancouver:

Gu H. Value-at-Risk (VaR) and Dynamic Portfolio Selection. [Internet] [Doctoral dissertation]. University of Michigan; 2013. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/100051.

Council of Science Editors:

Gu H. Value-at-Risk (VaR) and Dynamic Portfolio Selection. [Doctoral Dissertation]. University of Michigan; 2013. Available from: http://hdl.handle.net/2027.42/100051

17. Murayama, Takumi. Seshadri Constants and Fujita's Conjecture via Positive Characteristic Methods.

Degree: PhD, Mathematics, 2019, University of Michigan

URL: http://hdl.handle.net/2027.42/149842

► In 1988, Fujita conjectured that there is an effective and uniform way to turn an ample line bundle on a smooth projective variety into a…
(more)

Subjects/Keywords: Seshadri constants; Fujita's conjecture; positive characteristic methods; characterizations of projective space; Angehrn-Siu theorem; asymptotic cohomological functions; Mathematics; Science

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APA (6^{th} Edition):

Murayama, T. (2019). Seshadri Constants and Fujita's Conjecture via Positive Characteristic Methods. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/149842

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

Murayama, Takumi. “Seshadri Constants and Fujita's Conjecture via Positive Characteristic Methods.” 2019. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/149842.

MLA Handbook (7^{th} Edition):

Murayama, Takumi. “Seshadri Constants and Fujita's Conjecture via Positive Characteristic Methods.” 2019. Web. 24 Oct 2020.

Vancouver:

Murayama T. Seshadri Constants and Fujita's Conjecture via Positive Characteristic Methods. [Internet] [Doctoral dissertation]. University of Michigan; 2019. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/149842.

Council of Science Editors:

Murayama T. Seshadri Constants and Fujita's Conjecture via Positive Characteristic Methods. [Doctoral Dissertation]. University of Michigan; 2019. Available from: http://hdl.handle.net/2027.42/149842

18. Gu, Weichen. Computations of Mather Minimal Log Discrepancies.

Degree: PhD, Mathematics, 2017, University of Michigan

URL: http://hdl.handle.net/2027.42/138441

► Shokurov proved that certain conjectures for Minimal Log Discrepancy imply the termination of Minimal Model Program. The effort towards proving those conjectures directly has not…
(more)

Subjects/Keywords: Mather minimal log discrepancy; Jet scheme; Arc space; Mathematics; Science

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APA (6^{th} Edition):

Gu, W. (2017). Computations of Mather Minimal Log Discrepancies. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/138441

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

Gu, Weichen. “Computations of Mather Minimal Log Discrepancies.” 2017. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/138441.

MLA Handbook (7^{th} Edition):

Gu, Weichen. “Computations of Mather Minimal Log Discrepancies.” 2017. Web. 24 Oct 2020.

Vancouver:

Gu W. Computations of Mather Minimal Log Discrepancies. [Internet] [Doctoral dissertation]. University of Michigan; 2017. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/138441.

Council of Science Editors:

Gu W. Computations of Mather Minimal Log Discrepancies. [Doctoral Dissertation]. University of Michigan; 2017. Available from: http://hdl.handle.net/2027.42/138441

19. Fulger, Aurel Mihai. Local Volumes.

Degree: PhD, Mathematics, 2012, University of Michigan

URL: http://hdl.handle.net/2027.42/91517

► In the present thesis we study a notion of local volume for Cartier divisors on arbitrary blow–ups of normal complex algebraic varieties of dimension greater…
(more)

Subjects/Keywords: Isolated Singularities; Asymptotic Invariants; Mathematics; Science

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APA (6^{th} Edition):

Fulger, A. M. (2012). Local Volumes. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/91517

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

Fulger, Aurel Mihai. “Local Volumes.” 2012. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/91517.

MLA Handbook (7^{th} Edition):

Fulger, Aurel Mihai. “Local Volumes.” 2012. Web. 24 Oct 2020.

Vancouver:

Fulger AM. Local Volumes. [Internet] [Doctoral dissertation]. University of Michigan; 2012. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/91517.

Council of Science Editors:

Fulger AM. Local Volumes. [Doctoral Dissertation]. University of Michigan; 2012. Available from: http://hdl.handle.net/2027.42/91517

20. 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 October 24, 2020. http://hdl.handle.net/2027.42/63828.

MLA Handbook (7^{th} Edition):

Graves, Hester K. “On Euclidean Ideal Classes.” 2009. Web. 24 Oct 2020.

Vancouver:

Graves HK. On Euclidean Ideal Classes. [Internet] [Doctoral dissertation]. University of Michigan; 2009. [cited 2020 Oct 24]. 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

21. Lapan, Sara W. On the Existence of Attracting Domains for Maps Tangent to the Identity.

Degree: PhD, Mathematics, 2013, University of Michigan

URL: http://hdl.handle.net/2027.42/100070

► The main result we discuss is for germs of holomorphic self-maps in two complex variables that have a unique characteristic direction and this direction is…
(more)

Subjects/Keywords: Complex Dynamics; Holomorphic Dynamics; Complex Analysis; Dynamical Systems; Characteristic Direction; Domain of Attraction; Mathematics; Science

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

APA (6^{th} Edition):

Lapan, S. W. (2013). On the Existence of Attracting Domains for Maps Tangent to the Identity. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/100070

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

Lapan, Sara W. “On the Existence of Attracting Domains for Maps Tangent to the Identity.” 2013. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/100070.

MLA Handbook (7^{th} Edition):

Lapan, Sara W. “On the Existence of Attracting Domains for Maps Tangent to the Identity.” 2013. Web. 24 Oct 2020.

Vancouver:

Lapan SW. On the Existence of Attracting Domains for Maps Tangent to the Identity. [Internet] [Doctoral dissertation]. University of Michigan; 2013. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/100070.

Council of Science Editors:

Lapan SW. On the Existence of Attracting Domains for Maps Tangent to the Identity. [Doctoral Dissertation]. University of Michigan; 2013. Available from: http://hdl.handle.net/2027.42/100070

22. Gignac, William T. Equidistribution of Preimages in Nonarchimedean Dynamics.

Degree: PhD, Mathematics, 2013, University of Michigan

URL: http://hdl.handle.net/2027.42/99809

► One of the central results in holomorphic dynamics in several variables is the equidistribution of preimages theorem, which constructs invariant probability measures for a large…
(more)

Subjects/Keywords: Nonarchimedean Dynamics; Equidistribution of Preimages; Ergodic Theory; Holomorphic Dynamics; Good Reduction; Berkovich Analytic Spaces; Mathematics; Science

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APA (6^{th} Edition):

Gignac, W. T. (2013). Equidistribution of Preimages in Nonarchimedean Dynamics. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/99809

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

Gignac, William T. “Equidistribution of Preimages in Nonarchimedean Dynamics.” 2013. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/99809.

MLA Handbook (7^{th} Edition):

Gignac, William T. “Equidistribution of Preimages in Nonarchimedean Dynamics.” 2013. Web. 24 Oct 2020.

Vancouver:

Gignac WT. Equidistribution of Preimages in Nonarchimedean Dynamics. [Internet] [Doctoral dissertation]. University of Michigan; 2013. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/99809.

Council of Science Editors:

Gignac WT. Equidistribution of Preimages in Nonarchimedean Dynamics. [Doctoral Dissertation]. University of Michigan; 2013. Available from: http://hdl.handle.net/2027.42/99809

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

Degree: PhD, Mathematics, 2017, University of Michigan

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

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

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

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APA (6^{th} Edition):

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

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

Ramadas, Rohini. “Dynamics on the Moduli Space of Pointed Rational Curves.” 2017. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/138644.

MLA Handbook (7^{th} Edition):

Ramadas, Rohini. “Dynamics on the Moduli Space of Pointed Rational Curves.” 2017. Web. 24 Oct 2020.

Vancouver:

Ramadas R. Dynamics on the Moduli Space of Pointed Rational Curves. [Internet] [Doctoral dissertation]. University of Michigan; 2017. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/138644.

Council of Science Editors:

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

University of Michigan

24. Yang, Bo. Application of Perturbation Methods to Credit and Equity Derivatives.

Degree: PhD, Mathematics, 2008, University of Michigan

URL: http://hdl.handle.net/2027.42/61625

► This thesis studies the application of perturbation methods in developing and solving credit and equity derivative pricing models. Chapter II proposes a uniﬁed framework for…
(more)

Subjects/Keywords: Multi-scale Perturbation Methods; Derivative Pricing; Credit Risk; Spectral Expansions; Implied Volatility; Mathematics; Science

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

APA (6^{th} Edition):

Yang, B. (2008). Application of Perturbation Methods to Credit and Equity Derivatives. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/61625

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

Yang, Bo. “Application of Perturbation Methods to Credit and Equity Derivatives.” 2008. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/61625.

MLA Handbook (7^{th} Edition):

Yang, Bo. “Application of Perturbation Methods to Credit and Equity Derivatives.” 2008. Web. 24 Oct 2020.

Vancouver:

Yang B. Application of Perturbation Methods to Credit and Equity Derivatives. [Internet] [Doctoral dissertation]. University of Michigan; 2008. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/61625.

Council of Science Editors:

Yang B. Application of Perturbation Methods to Credit and Equity Derivatives. [Doctoral Dissertation]. University of Michigan; 2008. Available from: http://hdl.handle.net/2027.42/61625

University of Michigan

25. Lee, Kyungyong. On the Realization of Line Arrangements as Multiplier Ideals.

Degree: PhD, Mathematics, 2008, University of Michigan

URL: http://hdl.handle.net/2027.42/60802

► We study the question of whether the idealI_{r} subset 𝓞_{C3} of r very general lines passing through the origin can be realized as a multiplier…
(more)

Subjects/Keywords: Multiplier Ideals; Line Arrangements; Integrally Closed Ideals; Mathematics; Science

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

APA (6^{th} Edition):

Lee, K. (2008). On the Realization of Line Arrangements as Multiplier Ideals. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/60802

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

Lee, Kyungyong. “On the Realization of Line Arrangements as Multiplier Ideals.” 2008. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/60802.

MLA Handbook (7^{th} Edition):

Lee, Kyungyong. “On the Realization of Line Arrangements as Multiplier Ideals.” 2008. Web. 24 Oct 2020.

Vancouver:

Lee K. On the Realization of Line Arrangements as Multiplier Ideals. [Internet] [Doctoral dissertation]. University of Michigan; 2008. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/60802.

Council of Science Editors:

Lee K. On the Realization of Line Arrangements as Multiplier Ideals. [Doctoral Dissertation]. University of Michigan; 2008. Available from: http://hdl.handle.net/2027.42/60802

University of Michigan

26. Vivas, Liz R. Fatou Bieberbach Domains and Automorphisms of Ck Tangent to the Identity.

Degree: PhD, Mathematics, 2009, University of Michigan

URL: http://hdl.handle.net/2027.42/63679

► We investigate the following question: Is there a biholomorphic map from CC^{2} into the set {zw neq 0}? In order to answer this question we…
(more)

Subjects/Keywords: Fatou-Bieberbach Domains; Automorphisms of C^2 Tangent to the Identity; Mathematics; Science

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APA (6^{th} Edition):

Vivas, L. R. (2009). Fatou Bieberbach Domains and Automorphisms of Ck Tangent to the Identity. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/63679

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

Vivas, Liz R. “Fatou Bieberbach Domains and Automorphisms of Ck Tangent to the Identity.” 2009. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/63679.

MLA Handbook (7^{th} Edition):

Vivas, Liz R. “Fatou Bieberbach Domains and Automorphisms of Ck Tangent to the Identity.” 2009. Web. 24 Oct 2020.

Vancouver:

Vivas LR. Fatou Bieberbach Domains and Automorphisms of Ck Tangent to the Identity. [Internet] [Doctoral dissertation]. University of Michigan; 2009. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/63679.

Council of Science Editors:

Vivas LR. Fatou Bieberbach Domains and Automorphisms of Ck Tangent to the Identity. [Doctoral Dissertation]. University of Michigan; 2009. Available from: http://hdl.handle.net/2027.42/63679

University of Michigan

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

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 October 24, 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. 24 Oct 2020.

Vancouver:

Tucker KF. Jumping Numbers and Multiplier Ideals on Algebraic Surfaces. [Internet] [Doctoral dissertation]. University of Michigan; 2010. [cited 2020 Oct 24]. 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

28. More, Yogesh K. Arc Valuations on Smooth Varieties.

Degree: PhD, Mathematics, 2008, University of Michigan

URL: http://hdl.handle.net/2027.42/60710

► For a nonsingular CC-arc valuation v on a nonsingular variety X over a field CC, we describe the maximal irreducible subset C(v) of the arc…
(more)

Subjects/Keywords: Valuations; Mathematics; Science

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

APA (6^{th} Edition):

More, Y. K. (2008). Arc Valuations on Smooth Varieties. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/60710

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

More, Yogesh K. “Arc Valuations on Smooth Varieties.” 2008. Doctoral Dissertation, University of Michigan. Accessed October 24, 2020. http://hdl.handle.net/2027.42/60710.

MLA Handbook (7^{th} Edition):

More, Yogesh K. “Arc Valuations on Smooth Varieties.” 2008. Web. 24 Oct 2020.

Vancouver:

More YK. Arc Valuations on Smooth Varieties. [Internet] [Doctoral dissertation]. University of Michigan; 2008. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/2027.42/60710.

Council of Science Editors:

More YK. Arc Valuations on Smooth Varieties. [Doctoral Dissertation]. University of Michigan; 2008. Available from: http://hdl.handle.net/2027.42/60710