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Virginia Tech

1. Gartland, Christopher John. Cycle-Free Twisted Face-Pairing 3-Manifolds.

Degree: MS, Mathematics, 2014, Virginia Tech

URL: http://hdl.handle.net/10919/48188

► In 2-dimensional topology, quotients of polygons by edge-pairings provide a rich source of examples of closed, connected, orientable surfaces. In fact, they provide all such…
(more)

Subjects/Keywords: 3-manifolds; plumbing graphs; Seifert fibered spaces; face-pairings

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APA (6^{th} Edition):

Gartland, C. J. (2014). Cycle-Free Twisted Face-Pairing 3-Manifolds. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/48188

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

Gartland, Christopher John. “Cycle-Free Twisted Face-Pairing 3-Manifolds.” 2014. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/48188.

MLA Handbook (7^{th} Edition):

Gartland, Christopher John. “Cycle-Free Twisted Face-Pairing 3-Manifolds.” 2014. Web. 15 Jul 2020.

Vancouver:

Gartland CJ. Cycle-Free Twisted Face-Pairing 3-Manifolds. [Internet] [Masters thesis]. Virginia Tech; 2014. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/48188.

Council of Science Editors:

Gartland CJ. Cycle-Free Twisted Face-Pairing 3-Manifolds. [Masters Thesis]. Virginia Tech; 2014. Available from: http://hdl.handle.net/10919/48188

Virginia Tech

2. Wilkerson, Mary. Finite Subdivision Rules from Matings of Quadratic Functions: Existence and Constructions.

Degree: PhD, Mathematics, 2012, Virginia Tech

URL: http://hdl.handle.net/10919/27581

► Combinatorial methods are utilized to examine preimage iterations of topologically glued polynomials. In particular, this paper addresses using finite subdivision rules and Hubbard trees as…
(more)

Subjects/Keywords: Combinatorial Dynamics; Hubbard Trees; Matings; Finite Subdivision Rules

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APA (6^{th} Edition):

Wilkerson, M. (2012). Finite Subdivision Rules from Matings of Quadratic Functions: Existence and Constructions. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/27581

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

Wilkerson, Mary. “Finite Subdivision Rules from Matings of Quadratic Functions: Existence and Constructions.” 2012. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/27581.

MLA Handbook (7^{th} Edition):

Wilkerson, Mary. “Finite Subdivision Rules from Matings of Quadratic Functions: Existence and Constructions.” 2012. Web. 15 Jul 2020.

Vancouver:

Wilkerson M. Finite Subdivision Rules from Matings of Quadratic Functions: Existence and Constructions. [Internet] [Doctoral dissertation]. Virginia Tech; 2012. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/27581.

Council of Science Editors:

Wilkerson M. Finite Subdivision Rules from Matings of Quadratic Functions: Existence and Constructions. [Doctoral Dissertation]. Virginia Tech; 2012. Available from: http://hdl.handle.net/10919/27581

Virginia Tech

3. Saenz Maldonado, Edgar Arturo. On Nearly Euclidean Thurston Maps.

Degree: PhD, Mathematics, 2012, Virginia Tech

URL: http://hdl.handle.net/10919/27637

► Nearly Euclidean Thurston maps are simple generalizations of rational Lattes maps. A Thurston map is called nearly Euclidean if its local degree at each critical…
(more)

Subjects/Keywords: nonseparating sets; constant pullback map; finite subdivision rules; Thurston maps

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APA (6^{th} Edition):

Saenz Maldonado, E. A. (2012). On Nearly Euclidean Thurston Maps. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/27637

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

Saenz Maldonado, Edgar Arturo. “On Nearly Euclidean Thurston Maps.” 2012. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/27637.

MLA Handbook (7^{th} Edition):

Saenz Maldonado, Edgar Arturo. “On Nearly Euclidean Thurston Maps.” 2012. Web. 15 Jul 2020.

Vancouver:

Saenz Maldonado EA. On Nearly Euclidean Thurston Maps. [Internet] [Doctoral dissertation]. Virginia Tech; 2012. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/27637.

Council of Science Editors:

Saenz Maldonado EA. On Nearly Euclidean Thurston Maps. [Doctoral Dissertation]. Virginia Tech; 2012. Available from: http://hdl.handle.net/10919/27637

Virginia Tech

4. Mattox, Wade. Homology of Group Von Neumann Algebras.

Degree: PhD, Mathematics, 2012, Virginia Tech

URL: http://hdl.handle.net/10919/28397

► In this paper the following conjecture is studied: the group von Neumann algebra N(G) is a flat CG-module if and only if the group G…
(more)

Subjects/Keywords: group theory; group von neumann algebra; homology

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APA (6^{th} Edition):

Mattox, W. (2012). Homology of Group Von Neumann Algebras. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/28397

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

Mattox, Wade. “Homology of Group Von Neumann Algebras.” 2012. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/28397.

MLA Handbook (7^{th} Edition):

Mattox, Wade. “Homology of Group Von Neumann Algebras.” 2012. Web. 15 Jul 2020.

Vancouver:

Mattox W. Homology of Group Von Neumann Algebras. [Internet] [Doctoral dissertation]. Virginia Tech; 2012. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/28397.

Council of Science Editors:

Mattox W. Homology of Group Von Neumann Algebras. [Doctoral Dissertation]. Virginia Tech; 2012. Available from: http://hdl.handle.net/10919/28397

Virginia Tech

5. Ordonez-Delgado, Bartleby. An Embedded Toeplitz Problem.

Degree: PhD, Mathematics, 2010, Virginia Tech

URL: http://hdl.handle.net/10919/29007

► In this work we investigate multi-variable Toeplitz operators and their relationship with KK-theory in order to apply this relationship to define and analyze embedded Toeplitz…
(more)

Subjects/Keywords: Index Theory; KK-Theory; Toeplitz operators

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APA (6^{th} Edition):

Ordonez-Delgado, B. (2010). An Embedded Toeplitz Problem. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/29007

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

Ordonez-Delgado, Bartleby. “An Embedded Toeplitz Problem.” 2010. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/29007.

MLA Handbook (7^{th} Edition):

Ordonez-Delgado, Bartleby. “An Embedded Toeplitz Problem.” 2010. Web. 15 Jul 2020.

Vancouver:

Ordonez-Delgado B. An Embedded Toeplitz Problem. [Internet] [Doctoral dissertation]. Virginia Tech; 2010. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/29007.

Council of Science Editors:

Ordonez-Delgado B. An Embedded Toeplitz Problem. [Doctoral Dissertation]. Virginia Tech; 2010. Available from: http://hdl.handle.net/10919/29007

Virginia Tech

6. Conrad, Katarina Terzic. Analysis of the Buckling States of an Infinite Plate Conducting Current.

Degree: PhD, Mathematics, 2011, Virginia Tech

URL: http://hdl.handle.net/10919/29041

► In this thesis we analyze the buckling behavior of an infinitely long, thin, uniform, inextensible, elastic plate that has a steady current flowing along its…
(more)

Subjects/Keywords: self-forces; bifurcation; beam buckling; nonlinear continuum mechanics

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APA (6^{th} Edition):

Conrad, K. T. (2011). Analysis of the Buckling States of an Infinite Plate Conducting Current. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/29041

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

Conrad, Katarina Terzic. “Analysis of the Buckling States of an Infinite Plate Conducting Current.” 2011. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/29041.

MLA Handbook (7^{th} Edition):

Conrad, Katarina Terzic. “Analysis of the Buckling States of an Infinite Plate Conducting Current.” 2011. Web. 15 Jul 2020.

Vancouver:

Conrad KT. Analysis of the Buckling States of an Infinite Plate Conducting Current. [Internet] [Doctoral dissertation]. Virginia Tech; 2011. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/29041.

Council of Science Editors:

Conrad KT. Analysis of the Buckling States of an Infinite Plate Conducting Current. [Doctoral Dissertation]. Virginia Tech; 2011. Available from: http://hdl.handle.net/10919/29041

Virginia Tech

7. Jia, Bei. D-branes and K-homology.

Degree: MS, Mathematics, 2013, Virginia Tech

URL: http://hdl.handle.net/10919/32039

► In this thesis the close relationship between the topological K-homology group of the spacetime manifold X of string theory and D-branes in string theory is…
(more)

Subjects/Keywords: D-brane; K-theory; K-homology; String theory

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APA (6^{th} Edition):

Jia, B. (2013). D-branes and K-homology. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32039

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

Jia, Bei. “D-branes and K-homology.” 2013. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/32039.

MLA Handbook (7^{th} Edition):

Jia, Bei. “D-branes and K-homology.” 2013. Web. 15 Jul 2020.

Vancouver:

Jia B. D-branes and K-homology. [Internet] [Masters thesis]. Virginia Tech; 2013. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/32039.

Council of Science Editors:

Jia B. D-branes and K-homology. [Masters Thesis]. Virginia Tech; 2013. Available from: http://hdl.handle.net/10919/32039

Virginia Tech

8. Arnold, Rachel Florence. The Discrete Hodge Star Operator and PoincarĂƒÂ© Duality.

Degree: PhD, Mathematics, 2012, Virginia Tech

URL: http://hdl.handle.net/10919/27485

► This dissertation is a uniĂ¯Â¬ cation of an analysis-based approach and the traditional topological-based approach to PoincarĂƒÂ© duality. We examine the role of the discrete…
(more)

Subjects/Keywords: Cell Complex; Cubical Whitney Forms; PoincarĂƒÂ© Duality; Discrete Hodge Star

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APA (6^{th} Edition):

Arnold, R. F. (2012). The Discrete Hodge Star Operator and PoincarĂƒÂ© Duality. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/27485

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

Arnold, Rachel Florence. “The Discrete Hodge Star Operator and PoincarĂƒÂ© Duality.” 2012. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/27485.

MLA Handbook (7^{th} Edition):

Arnold, Rachel Florence. “The Discrete Hodge Star Operator and PoincarĂƒÂ© Duality.” 2012. Web. 15 Jul 2020.

Vancouver:

Arnold RF. The Discrete Hodge Star Operator and PoincarĂƒÂ© Duality. [Internet] [Doctoral dissertation]. Virginia Tech; 2012. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/27485.

Council of Science Editors:

Arnold RF. The Discrete Hodge Star Operator and PoincarĂƒÂ© Duality. [Doctoral Dissertation]. Virginia Tech; 2012. Available from: http://hdl.handle.net/10919/27485

Virginia Tech

9. Shifler, Ryan M. Equivariant Quantum Cohomology of the Odd Symplectic Grassmannian.

Degree: PhD, Mathematics, 2017, Virginia Tech

URL: http://hdl.handle.net/10919/77027

► The odd symplectic Grassmannian IG := IG(k, 2n + 1) parametrizes k dimensional subspaces of C^{2n+1} which are isotropic with respect to a general (necessarily…
(more)

Subjects/Keywords: odd symplectic; quantum cohomology; Chevalley formula

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APA (6^{th} Edition):

Shifler, R. M. (2017). Equivariant Quantum Cohomology of the Odd Symplectic Grassmannian. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/77027

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

Shifler, Ryan M. “Equivariant Quantum Cohomology of the Odd Symplectic Grassmannian.” 2017. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/77027.

MLA Handbook (7^{th} Edition):

Shifler, Ryan M. “Equivariant Quantum Cohomology of the Odd Symplectic Grassmannian.” 2017. Web. 15 Jul 2020.

Vancouver:

Shifler RM. Equivariant Quantum Cohomology of the Odd Symplectic Grassmannian. [Internet] [Doctoral dissertation]. Virginia Tech; 2017. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/77027.

Council of Science Editors:

Shifler RM. Equivariant Quantum Cohomology of the Odd Symplectic Grassmannian. [Doctoral Dissertation]. Virginia Tech; 2017. Available from: http://hdl.handle.net/10919/77027

Virginia Tech

10. Niese, Elizabeth M. Combinatorial Properties of the Hilbert Series of Macdonald Polynomials.

Degree: PhD, Mathematics, 2010, Virginia Tech

URL: http://hdl.handle.net/10919/26702

► The original Macdonald polynomials P_μ form a basis for the vector space of symmetric functions which specializes to several of the common bases such as…
(more)

Subjects/Keywords: permutation statistics; tableaux; symmetric functions; Macdonald polynomials

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APA (6^{th} Edition):

Niese, E. M. (2010). Combinatorial Properties of the Hilbert Series of Macdonald Polynomials. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/26702

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

Niese, Elizabeth M. “Combinatorial Properties of the Hilbert Series of Macdonald Polynomials.” 2010. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/26702.

MLA Handbook (7^{th} Edition):

Niese, Elizabeth M. “Combinatorial Properties of the Hilbert Series of Macdonald Polynomials.” 2010. Web. 15 Jul 2020.

Vancouver:

Niese EM. Combinatorial Properties of the Hilbert Series of Macdonald Polynomials. [Internet] [Doctoral dissertation]. Virginia Tech; 2010. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/26702.

Council of Science Editors:

Niese EM. Combinatorial Properties of the Hilbert Series of Macdonald Polynomials. [Doctoral Dissertation]. Virginia Tech; 2010. Available from: http://hdl.handle.net/10919/26702

Virginia Tech

11. Farlow, Kasie Geralyn. The Reflected Quasipotential: Characterization and Exploration.

Degree: PhD, Mathematics, 2013, Virginia Tech

URL: http://hdl.handle.net/10919/22020

► The Reflected Quasipotential V(x) is the solution to a variational problem that arises in the study of reflective Brownian motion. Specifically, the stationary distributions of…
(more)

Subjects/Keywords: viscosity solution; Skorokhod Problem

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APA (6^{th} Edition):

Farlow, K. G. (2013). The Reflected Quasipotential: Characterization and Exploration. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/22020

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

Farlow, Kasie Geralyn. “The Reflected Quasipotential: Characterization and Exploration.” 2013. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/22020.

MLA Handbook (7^{th} Edition):

Farlow, Kasie Geralyn. “The Reflected Quasipotential: Characterization and Exploration.” 2013. Web. 15 Jul 2020.

Vancouver:

Farlow KG. The Reflected Quasipotential: Characterization and Exploration. [Internet] [Doctoral dissertation]. Virginia Tech; 2013. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/22020.

Council of Science Editors:

Farlow KG. The Reflected Quasipotential: Characterization and Exploration. [Doctoral Dissertation]. Virginia Tech; 2013. Available from: http://hdl.handle.net/10919/22020

Virginia Tech

12. Boquet, Grant Michael. Geometric Properties of Over-Determined Systems of Linear Partial Difference Equations.

Degree: PhD, Mathematics, 2010, Virginia Tech

URL: http://hdl.handle.net/10919/26352

► We relate linear constant coefficient systems of partial difference equations (a discretization of a system of linear partial differential equations) satisfying some collection of scalar…
(more)

Subjects/Keywords: algebraic geometry; Multidimensional linear systems; vessels; autonomous behavioral systems; LivĂ…Â¡ic systems

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APA (6^{th} Edition):

Boquet, G. M. (2010). Geometric Properties of Over-Determined Systems of Linear Partial Difference Equations. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/26352

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

Boquet, Grant Michael. “Geometric Properties of Over-Determined Systems of Linear Partial Difference Equations.” 2010. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/26352.

MLA Handbook (7^{th} Edition):

Boquet, Grant Michael. “Geometric Properties of Over-Determined Systems of Linear Partial Difference Equations.” 2010. Web. 15 Jul 2020.

Vancouver:

Boquet GM. Geometric Properties of Over-Determined Systems of Linear Partial Difference Equations. [Internet] [Doctoral dissertation]. Virginia Tech; 2010. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/26352.

Council of Science Editors:

Boquet GM. Geometric Properties of Over-Determined Systems of Linear Partial Difference Equations. [Doctoral Dissertation]. Virginia Tech; 2010. Available from: http://hdl.handle.net/10919/26352

Virginia Tech

13. Burris, Christina Suzann. Analytic Combinatorics Applied to RNA Structures.

Degree: MS, Mathematics, 2018, Virginia Tech

URL: http://hdl.handle.net/10919/83888

► Ribonucleic acid (RNA), similar in composition to well-known DNA, plays a myriad of roles within the cell. The major distinction between DNA and RNA is…
(more)

Subjects/Keywords: RNA structures; fatgraphs; Analytic Combinatorics

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APA (6^{th} Edition):

Burris, C. S. (2018). Analytic Combinatorics Applied to RNA Structures. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/83888

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

Burris, Christina Suzann. “Analytic Combinatorics Applied to RNA Structures.” 2018. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/83888.

MLA Handbook (7^{th} Edition):

Burris, Christina Suzann. “Analytic Combinatorics Applied to RNA Structures.” 2018. Web. 15 Jul 2020.

Vancouver:

Burris CS. Analytic Combinatorics Applied to RNA Structures. [Internet] [Masters thesis]. Virginia Tech; 2018. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/83888.

Council of Science Editors:

Burris CS. Analytic Combinatorics Applied to RNA Structures. [Masters Thesis]. Virginia Tech; 2018. Available from: http://hdl.handle.net/10919/83888

Virginia Tech

14. Roinestad, Kristine A. Geometry of Fractal Squares.

Degree: PhD, Mathematics, 2010, Virginia Tech

URL: http://hdl.handle.net/10919/26883

► This paper will examine analogues of Cantor sets, called fractal squares, and some of the geometric ways in which fractal squares raise issues not raised…
(more)

Subjects/Keywords: Self-Similarity; Bilipschitz Equivalences; Fractal Squares; Cantor Sets

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APA (6^{th} Edition):

Roinestad, K. A. (2010). Geometry of Fractal Squares. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/26883

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

Roinestad, Kristine A. “Geometry of Fractal Squares.” 2010. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/26883.

MLA Handbook (7^{th} Edition):

Roinestad, Kristine A. “Geometry of Fractal Squares.” 2010. Web. 15 Jul 2020.

Vancouver:

Roinestad KA. Geometry of Fractal Squares. [Internet] [Doctoral dissertation]. Virginia Tech; 2010. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/26883.

Council of Science Editors:

Roinestad KA. Geometry of Fractal Squares. [Doctoral Dissertation]. Virginia Tech; 2010. Available from: http://hdl.handle.net/10919/26883

Virginia Tech

15. StClair, Jessica Lindsey. Geometry of Spaces of Planar Quadrilaterals.

Degree: PhD, Mathematics, 2011, Virginia Tech

URL: http://hdl.handle.net/10919/26887

► The purpose of this dissertation is to investigate the geometry of spaces of planar quadrilaterals. The topology of moduli spaces of planar quadrilaterals (the set…
(more)

Subjects/Keywords: Holonomy; Robotics; Riemannian Metric; Moduli Space; Pre-Moduli Space; Differential Geometry

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APA (6^{th} Edition):

StClair, J. L. (2011). Geometry of Spaces of Planar Quadrilaterals. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/26887

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

StClair, Jessica Lindsey. “Geometry of Spaces of Planar Quadrilaterals.” 2011. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/26887.

MLA Handbook (7^{th} Edition):

StClair, Jessica Lindsey. “Geometry of Spaces of Planar Quadrilaterals.” 2011. Web. 15 Jul 2020.

Vancouver:

StClair JL. Geometry of Spaces of Planar Quadrilaterals. [Internet] [Doctoral dissertation]. Virginia Tech; 2011. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/26887.

Council of Science Editors:

StClair JL. Geometry of Spaces of Planar Quadrilaterals. [Doctoral Dissertation]. Virginia Tech; 2011. Available from: http://hdl.handle.net/10919/26887

16. Bura, Cotiso Andrei. Mathematical frameworks for quantitative network analysis.

Degree: PhD, Mathematics, 2019, Virginia Tech

URL: http://hdl.handle.net/10919/95034

► This thesis is comprised of three parts. The first part describes a novel framework for computing importance measures on graph vertices. The concept of a…
(more)

Subjects/Keywords: D-chain; network structure; spreading process; k-core; SIR model; fixed point; RNA; bi-secondary structure; loop; nerve; simplicial homology

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APA (6^{th} Edition):

Bura, C. A. (2019). Mathematical frameworks for quantitative network analysis. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/95034

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

Bura, Cotiso Andrei. “Mathematical frameworks for quantitative network analysis.” 2019. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/95034.

MLA Handbook (7^{th} Edition):

Bura, Cotiso Andrei. “Mathematical frameworks for quantitative network analysis.” 2019. Web. 15 Jul 2020.

Vancouver:

Bura CA. Mathematical frameworks for quantitative network analysis. [Internet] [Doctoral dissertation]. Virginia Tech; 2019. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/95034.

Council of Science Editors:

Bura CA. Mathematical frameworks for quantitative network analysis. [Doctoral Dissertation]. Virginia Tech; 2019. Available from: http://hdl.handle.net/10919/95034

Virginia Tech

17. Dare, Christopher Edward. Turing Decidability and Computational Complexity of MorseHomology.

Degree: MS, Mathematics, 2019, Virginia Tech

URL: http://hdl.handle.net/10919/90397

► With the growing prevalence of data in the technological world, there is an emerging need to identify geometric properties (such as holes and boundaries) to…
(more)

Subjects/Keywords: Morse homology

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APA (6^{th} Edition):

Dare, C. E. (2019). Turing Decidability and Computational Complexity of MorseHomology. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/90397

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

Dare, Christopher Edward. “Turing Decidability and Computational Complexity of MorseHomology.” 2019. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/90397.

MLA Handbook (7^{th} Edition):

Dare, Christopher Edward. “Turing Decidability and Computational Complexity of MorseHomology.” 2019. Web. 15 Jul 2020.

Vancouver:

Dare CE. Turing Decidability and Computational Complexity of MorseHomology. [Internet] [Masters thesis]. Virginia Tech; 2019. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/90397.

Council of Science Editors:

Dare CE. Turing Decidability and Computational Complexity of MorseHomology. [Masters Thesis]. Virginia Tech; 2019. Available from: http://hdl.handle.net/10919/90397

18. Withrow, Camron Michael. The moment graph for Bott-Samelson varieties and applications to quantum cohomology.

Degree: PhD, Mathematics, 2018, Virginia Tech

URL: http://hdl.handle.net/10919/83820

► We give a description of the moment graph for Bott-Samelson varieties in arbitrary Lie type. We use this, along with curve neighborhoods and explicit moduli…
(more)

Subjects/Keywords: Bott-Samelson Variety; Quantum Cohomology; Moment Graph

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APA (6^{th} Edition):

Withrow, C. M. (2018). The moment graph for Bott-Samelson varieties and applications to quantum cohomology. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/83820

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

Withrow, Camron Michael. “The moment graph for Bott-Samelson varieties and applications to quantum cohomology.” 2018. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/83820.

MLA Handbook (7^{th} Edition):

Withrow, Camron Michael. “The moment graph for Bott-Samelson varieties and applications to quantum cohomology.” 2018. Web. 15 Jul 2020.

Vancouver:

Withrow CM. The moment graph for Bott-Samelson varieties and applications to quantum cohomology. [Internet] [Doctoral dissertation]. Virginia Tech; 2018. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/83820.

Council of Science Editors:

Withrow CM. The moment graph for Bott-Samelson varieties and applications to quantum cohomology. [Doctoral Dissertation]. Virginia Tech; 2018. Available from: http://hdl.handle.net/10919/83820

19. Chen, Xiaofeng. Plane Permutations and their Applications to Graph Embeddings and Genome Rearrangements.

Degree: PhD, Mathematics, 2017, Virginia Tech

URL: http://hdl.handle.net/10919/77535

► Maps have been extensively studied and are important in many research fields. A map is a 2-cell embedding of a graph on an orientable surface.…
(more)

Subjects/Keywords: Plane Permutation; Map; Graph Embedding; Genome Rearrangement

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APA (6^{th} Edition):

Chen, X. (2017). Plane Permutations and their Applications to Graph Embeddings and Genome Rearrangements. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/77535

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

Chen, Xiaofeng. “Plane Permutations and their Applications to Graph Embeddings and Genome Rearrangements.” 2017. Doctoral Dissertation, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/77535.

MLA Handbook (7^{th} Edition):

Chen, Xiaofeng. “Plane Permutations and their Applications to Graph Embeddings and Genome Rearrangements.” 2017. Web. 15 Jul 2020.

Vancouver:

Chen X. Plane Permutations and their Applications to Graph Embeddings and Genome Rearrangements. [Internet] [Doctoral dissertation]. Virginia Tech; 2017. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/77535.

Council of Science Editors:

Chen X. Plane Permutations and their Applications to Graph Embeddings and Genome Rearrangements. [Doctoral Dissertation]. Virginia Tech; 2017. Available from: http://hdl.handle.net/10919/77535

Virginia Tech

20. Kelly, Erin Webster. The Expanding Constant, Ramanujan Graphs, and Winnie Li Graphs.

Degree: MS, Mathematics, 2006, Virginia Tech

URL: http://hdl.handle.net/10919/32992

► The expanding constant is a measure of graph connectivity that is important for certain applications. This paper discusses the mathematical foundations for the construction of…
(more)

Subjects/Keywords: expanding constant; ramanujan graph; winnie li graph

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APA (6^{th} Edition):

Kelly, E. W. (2006). The Expanding Constant, Ramanujan Graphs, and Winnie Li Graphs. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32992

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

Kelly, Erin Webster. “The Expanding Constant, Ramanujan Graphs, and Winnie Li Graphs.” 2006. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/32992.

MLA Handbook (7^{th} Edition):

Kelly, Erin Webster. “The Expanding Constant, Ramanujan Graphs, and Winnie Li Graphs.” 2006. Web. 15 Jul 2020.

Vancouver:

Kelly EW. The Expanding Constant, Ramanujan Graphs, and Winnie Li Graphs. [Internet] [Masters thesis]. Virginia Tech; 2006. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/32992.

Council of Science Editors:

Kelly EW. The Expanding Constant, Ramanujan Graphs, and Winnie Li Graphs. [Masters Thesis]. Virginia Tech; 2006. Available from: http://hdl.handle.net/10919/32992

Virginia Tech

21. Boquet, Grant Michael. Multidimensional Behavioral Complexes.

Degree: MS, Mathematics, 2008, Virginia Tech

URL: http://hdl.handle.net/10919/31528

► In a preprint by J. Wood, V. Lomadze, and *E*. Rogers, chains and boundary maps were defined for 2-D discrete behavioral systems. The corresponding homology…
(more)

Subjects/Keywords: multidimensional systems theory; homology; Behavioral systems theory

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APA (6^{th} Edition):

Boquet, G. M. (2008). Multidimensional Behavioral Complexes. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/31528

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

Boquet, Grant Michael. “Multidimensional Behavioral Complexes.” 2008. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/31528.

MLA Handbook (7^{th} Edition):

Boquet, Grant Michael. “Multidimensional Behavioral Complexes.” 2008. Web. 15 Jul 2020.

Vancouver:

Boquet GM. Multidimensional Behavioral Complexes. [Internet] [Masters thesis]. Virginia Tech; 2008. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/31528.

Council of Science Editors:

Boquet GM. Multidimensional Behavioral Complexes. [Masters Thesis]. Virginia Tech; 2008. Available from: http://hdl.handle.net/10919/31528

Virginia Tech

22. Hair, Steven. New Methods for Finding Non-Left-Orderable and Unique Product Groups.

Degree: MS, Mathematics, 2003, Virginia Tech

URL: http://hdl.handle.net/10919/9633

► In this paper, we present techniques for proving a group to be non-left-orderable or a unique product group. These methods involve the existence of a…
(more)

Subjects/Keywords: Kleinian; left-orderable; Fibonacci; unique product; Fuchsian

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APA (6^{th} Edition):

Hair, S. (2003). New Methods for Finding Non-Left-Orderable and Unique Product Groups. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/9633

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

Hair, Steven. “New Methods for Finding Non-Left-Orderable and Unique Product Groups.” 2003. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/9633.

MLA Handbook (7^{th} Edition):

Hair, Steven. “New Methods for Finding Non-Left-Orderable and Unique Product Groups.” 2003. Web. 15 Jul 2020.

Vancouver:

Hair S. New Methods for Finding Non-Left-Orderable and Unique Product Groups. [Internet] [Masters thesis]. Virginia Tech; 2003. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/9633.

Council of Science Editors:

Hair S. New Methods for Finding Non-Left-Orderable and Unique Product Groups. [Masters Thesis]. Virginia Tech; 2003. Available from: http://hdl.handle.net/10919/9633

Virginia Tech

23. Ison, Molly Elizabeth. Two Aspects of Topology in Graph Configuration Spaces.

Degree: MS, Mathematics, 2005, Virginia Tech

URL: http://hdl.handle.net/10919/29214

► A graph configuration space is generated by the movement of a finite number of robots on a graph. These configuration spaces of points in a…
(more)

Subjects/Keywords: fundamental group; pseudomanifold with boundary; manifold; braid group; graph; configuration space

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APA (6^{th} Edition):

Ison, M. E. (2005). Two Aspects of Topology in Graph Configuration Spaces. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/29214

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

Ison, Molly Elizabeth. “Two Aspects of Topology in Graph Configuration Spaces.” 2005. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/29214.

MLA Handbook (7^{th} Edition):

Ison, Molly Elizabeth. “Two Aspects of Topology in Graph Configuration Spaces.” 2005. Web. 15 Jul 2020.

Vancouver:

Ison ME. Two Aspects of Topology in Graph Configuration Spaces. [Internet] [Masters thesis]. Virginia Tech; 2005. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/29214.

Council of Science Editors:

Ison ME. Two Aspects of Topology in Graph Configuration Spaces. [Masters Thesis]. Virginia Tech; 2005. Available from: http://hdl.handle.net/10919/29214

Virginia Tech

24. Saenz Maldonado, Edgar Arturo. Brjuno Numbers and Complex Dynamics.

Degree: MS, Mathematics, 2008, Virginia Tech

URL: http://hdl.handle.net/10919/32055

► The Brjuno numbers play a fundamental role in the study of the 1-dimensional Complex Dynamics Theory. In this work we examine the proof of the…
(more)

Subjects/Keywords: Brjuno Numbers; Siegel Disks; Complex Dynamics

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

APA (6^{th} Edition):

Saenz Maldonado, E. A. (2008). Brjuno Numbers and Complex Dynamics. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32055

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

Saenz Maldonado, Edgar Arturo. “Brjuno Numbers and Complex Dynamics.” 2008. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/32055.

MLA Handbook (7^{th} Edition):

Saenz Maldonado, Edgar Arturo. “Brjuno Numbers and Complex Dynamics.” 2008. Web. 15 Jul 2020.

Vancouver:

Saenz Maldonado EA. Brjuno Numbers and Complex Dynamics. [Internet] [Masters thesis]. Virginia Tech; 2008. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/32055.

Council of Science Editors:

Saenz Maldonado EA. Brjuno Numbers and Complex Dynamics. [Masters Thesis]. Virginia Tech; 2008. Available from: http://hdl.handle.net/10919/32055

Virginia Tech

25. Arnold, Rachel Florence. Complex Analysis on Planar Cell Complexes.

Degree: MS, Mathematics, 2008, Virginia Tech

URL: http://hdl.handle.net/10919/32230

► This paper is an examination of the theory of discrete complex analysis that arises from the framework of a planar cell complex. Construction of this…
(more)

Subjects/Keywords: Cell Decomposition; Cauchy-Riemann Equation; Discrete Differential Forms; Hodge Decomposition; Cauchy Integral Formula

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APA (6^{th} Edition):

Arnold, R. F. (2008). Complex Analysis on Planar Cell Complexes. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32230

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

Arnold, Rachel Florence. “Complex Analysis on Planar Cell Complexes.” 2008. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/32230.

MLA Handbook (7^{th} Edition):

Arnold, Rachel Florence. “Complex Analysis on Planar Cell Complexes.” 2008. Web. 15 Jul 2020.

Vancouver:

Arnold RF. Complex Analysis on Planar Cell Complexes. [Internet] [Masters thesis]. Virginia Tech; 2008. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/32230.

Council of Science Editors:

Arnold RF. Complex Analysis on Planar Cell Complexes. [Masters Thesis]. Virginia Tech; 2008. Available from: http://hdl.handle.net/10919/32230

Virginia Tech

26. Ordonez-Delgado, Bartleby. Algebras of Toeplitz Operators.

Degree: MS, Mathematics, 2006, Virginia Tech

URL: http://hdl.handle.net/10919/32378

► In this work we examine C*-algebras of Toeplitz operators over the unit ball in C^{n} and the unit polydisc in C^{2}. Toeplitz operators are interesting…
(more)

Subjects/Keywords: C*-algebras; Toeplitz operators

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APA (6^{th} Edition):

Ordonez-Delgado, B. (2006). Algebras of Toeplitz Operators. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32378

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

Ordonez-Delgado, Bartleby. “Algebras of Toeplitz Operators.” 2006. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/32378.

MLA Handbook (7^{th} Edition):

Ordonez-Delgado, Bartleby. “Algebras of Toeplitz Operators.” 2006. Web. 15 Jul 2020.

Vancouver:

Ordonez-Delgado B. Algebras of Toeplitz Operators. [Internet] [Masters thesis]. Virginia Tech; 2006. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/32378.

Council of Science Editors:

Ordonez-Delgado B. Algebras of Toeplitz Operators. [Masters Thesis]. Virginia Tech; 2006. Available from: http://hdl.handle.net/10919/32378

Virginia Tech

27. Wilkerson, Mary Elizabeth. Circle Packing in Euclidean and Hyperbolic Geometries.

Degree: MS, Mathematics, 2008, Virginia Tech

URL: http://hdl.handle.net/10919/32390

► Given a graph that defines a triangulation of a simply connected surface, it is possible to associate a radius with each vertex so that the…
(more)

Subjects/Keywords: Circle Packings; Uniform Neighbor Model

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

APA (6^{th} Edition):

Wilkerson, M. E. (2008). Circle Packing in Euclidean and Hyperbolic Geometries. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32390

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

Wilkerson, Mary Elizabeth. “Circle Packing in Euclidean and Hyperbolic Geometries.” 2008. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/32390.

MLA Handbook (7^{th} Edition):

Wilkerson, Mary Elizabeth. “Circle Packing in Euclidean and Hyperbolic Geometries.” 2008. Web. 15 Jul 2020.

Vancouver:

Wilkerson ME. Circle Packing in Euclidean and Hyperbolic Geometries. [Internet] [Masters thesis]. Virginia Tech; 2008. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/32390.

Council of Science Editors:

Wilkerson ME. Circle Packing in Euclidean and Hyperbolic Geometries. [Masters Thesis]. Virginia Tech; 2008. Available from: http://hdl.handle.net/10919/32390

Virginia Tech

28. Miller, Nicole Renee. The Structure of the Class Group of Imaginary Quadratic Fields.

Degree: MS, Mathematics, 2005, Virginia Tech

URL: http://hdl.handle.net/10919/32572

► Let Q(√{-d}) be an imaginary quadratic field with discriminant Δ. We use the isomorphism between the ideal class groups of the field and the equivalence…
(more)

Subjects/Keywords: 7-rank; 5-rank; Positive Definite Forms; Genera; Class Group; Binary Quadratic Fields

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

APA (6^{th} Edition):

Miller, N. R. (2005). The Structure of the Class Group of Imaginary Quadratic Fields. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32572

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

Miller, Nicole Renee. “The Structure of the Class Group of Imaginary Quadratic Fields.” 2005. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/32572.

MLA Handbook (7^{th} Edition):

Miller, Nicole Renee. “The Structure of the Class Group of Imaginary Quadratic Fields.” 2005. Web. 15 Jul 2020.

Vancouver:

Miller NR. The Structure of the Class Group of Imaginary Quadratic Fields. [Internet] [Masters thesis]. Virginia Tech; 2005. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/32572.

Council of Science Editors:

Miller NR. The Structure of the Class Group of Imaginary Quadratic Fields. [Masters Thesis]. Virginia Tech; 2005. Available from: http://hdl.handle.net/10919/32572

Virginia Tech

29. Roinestad, Kristine A. Geometry of Self-Similar Sets.

Degree: MS, Mathematics, 2007, Virginia Tech

URL: http://hdl.handle.net/10919/32581

► This paper examines self-similar sets and some of their properties, including the natural equivalence relation found in bilipschitz equivalence. Both dimension and preservation of paths…
(more)

Subjects/Keywords: Self-Similarity; Cantor Sets; Bilipschitz Equivalence

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

APA (6^{th} Edition):

Roinestad, K. A. (2007). Geometry of Self-Similar Sets. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32581

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

Roinestad, Kristine A. “Geometry of Self-Similar Sets.” 2007. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/32581.

MLA Handbook (7^{th} Edition):

Roinestad, Kristine A. “Geometry of Self-Similar Sets.” 2007. Web. 15 Jul 2020.

Vancouver:

Roinestad KA. Geometry of Self-Similar Sets. [Internet] [Masters thesis]. Virginia Tech; 2007. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/32581.

Council of Science Editors:

Roinestad KA. Geometry of Self-Similar Sets. [Masters Thesis]. Virginia Tech; 2007. Available from: http://hdl.handle.net/10919/32581

Virginia Tech

30. Murrugarra Tomairo, David Manuel. Bott Periodicity.

Degree: MS, Mathematics, 2007, Virginia Tech

URL: http://hdl.handle.net/10919/32583

► Bott periodicity plays a fundamental role in the definition and understanding of K-theory, the generalized cohomology theory defined by vector bundles. This paper examines the…
(more)

Subjects/Keywords: K-theory; Bott periodicity.

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

APA (6^{th} Edition):

Murrugarra Tomairo, D. M. (2007). Bott Periodicity. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32583

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

Murrugarra Tomairo, David Manuel. “Bott Periodicity.” 2007. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/32583.

MLA Handbook (7^{th} Edition):

Murrugarra Tomairo, David Manuel. “Bott Periodicity.” 2007. Web. 15 Jul 2020.

Vancouver:

Murrugarra Tomairo DM. Bott Periodicity. [Internet] [Masters thesis]. Virginia Tech; 2007. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/32583.

Council of Science Editors:

Murrugarra Tomairo DM. Bott Periodicity. [Masters Thesis]. Virginia Tech; 2007. Available from: http://hdl.handle.net/10919/32583