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University of Illinois – Chicago

1. Mohajer, Ali. Upper Bounds on the Density of Two Radius Packings of Disks in the Plane.

Degree: 2018, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/23245

► A new upper density bound on two-radius packings of disks in the plane is presented at a homogeneity which does not admit compact packings. Advisors/Committee…
(more)

Subjects/Keywords: Packing; Disk Packing; Disk Packing in the Plane; Two-radius Packing; Packing Density; Binary Packing; Upper Density Bound; Delaunay Triangulation; Surfeit; Adjusted Surfeit; Saturated Packing

Record Details Similar Records

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

APA (6^{th} Edition):

Mohajer, A. (2018). Upper Bounds on the Density of Two Radius Packings of Disks in the Plane. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/23245

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):

Mohajer, Ali. “Upper Bounds on the Density of Two Radius Packings of Disks in the Plane.” 2018. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/23245.

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

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Mohajer, Ali. “Upper Bounds on the Density of Two Radius Packings of Disks in the Plane.” 2018. Web. 15 Jul 2020.

Vancouver:

Mohajer A. Upper Bounds on the Density of Two Radius Packings of Disks in the Plane. [Internet] [Thesis]. University of Illinois – Chicago; 2018. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/23245.

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

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Mohajer A. Upper Bounds on the Density of Two Radius Packings of Disks in the Plane. [Thesis]. University of Illinois – Chicago; 2018. Available from: http://hdl.handle.net/10027/23245

Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Chicago

2. Durham, Matthew G. The Coarse Geometry of the Teichmuller Metric: A Quasiisometry Model and the Actions of Finite Groups.

Degree: 2014, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/19007

► Let S be a surface of finite type and T(S) its Teichmuller space. In the first chapter of the thesis, we build a graph called…
(more)

Subjects/Keywords: Geometric group theory; Teichmuller space; mapping class groups; Nielsen realization

Record Details Similar Records

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APA (6^{th} Edition):

Durham, M. G. (2014). The Coarse Geometry of the Teichmuller Metric: A Quasiisometry Model and the Actions of Finite Groups. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/19007

Not specified: Masters Thesis or Doctoral Dissertation

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

Durham, Matthew G. “The Coarse Geometry of the Teichmuller Metric: A Quasiisometry Model and the Actions of Finite Groups.” 2014. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/19007.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Durham, Matthew G. “The Coarse Geometry of the Teichmuller Metric: A Quasiisometry Model and the Actions of Finite Groups.” 2014. Web. 15 Jul 2020.

Vancouver:

Durham MG. The Coarse Geometry of the Teichmuller Metric: A Quasiisometry Model and the Actions of Finite Groups. [Internet] [Thesis]. University of Illinois – Chicago; 2014. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/19007.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Durham MG. The Coarse Geometry of the Teichmuller Metric: A Quasiisometry Model and the Actions of Finite Groups. [Thesis]. University of Illinois – Chicago; 2014. Available from: http://hdl.handle.net/10027/19007

Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Chicago

3. Brasile, Andrew. Essential Spunnormal Surfaces via Tropical Geometry.

Degree: 2013, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/10117

► Methods for finding essential surfaces in 3-manifolds have been given in several seminal papers in 3-manifold topology and geometry. This thesis continues in this vein…
(more)

Subjects/Keywords: spunnormal; ideal triangulation; essential surface; tropical geometry; boundary slope; deformation variety

Record Details Similar Records

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

APA (6^{th} Edition):

Brasile, A. (2013). Essential Spunnormal Surfaces via Tropical Geometry. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/10117

Not specified: Masters Thesis or Doctoral Dissertation

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

Brasile, Andrew. “Essential Spunnormal Surfaces via Tropical Geometry.” 2013. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/10117.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Brasile, Andrew. “Essential Spunnormal Surfaces via Tropical Geometry.” 2013. Web. 15 Jul 2020.

Vancouver:

Brasile A. Essential Spunnormal Surfaces via Tropical Geometry. [Internet] [Thesis]. University of Illinois – Chicago; 2013. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/10117.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Brasile A. Essential Spunnormal Surfaces via Tropical Geometry. [Thesis]. University of Illinois – Chicago; 2013. Available from: http://hdl.handle.net/10027/10117

Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Chicago

4. Dannenberg, Ellie. Circle Packings on Surfaces with Complex Projective Structures.

Degree: 2017, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/22065

► We study the moduli space of circle packings on surfaces with complex projective structures with fixed nerve triangulation. We prove that for unilink triangulations, the…
(more)

Subjects/Keywords: Complex Projective Surfaces; Circle Packings

Record Details Similar Records

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

APA (6^{th} Edition):

Dannenberg, E. (2017). Circle Packings on Surfaces with Complex Projective Structures. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/22065

Not specified: Masters Thesis or Doctoral Dissertation

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

Dannenberg, Ellie. “Circle Packings on Surfaces with Complex Projective Structures.” 2017. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/22065.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Dannenberg, Ellie. “Circle Packings on Surfaces with Complex Projective Structures.” 2017. Web. 15 Jul 2020.

Vancouver:

Dannenberg E. Circle Packings on Surfaces with Complex Projective Structures. [Internet] [Thesis]. University of Illinois – Chicago; 2017. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/22065.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Dannenberg E. Circle Packings on Surfaces with Complex Projective Structures. [Thesis]. University of Illinois – Chicago; 2017. Available from: http://hdl.handle.net/10027/22065

Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Chicago

5. Simpson, David H. The Application of Ribbon Hopf Algebras to Invariants of 1-1 Tangles.

Degree: 2019, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/23681

► We examine the relation between Ribbon Hopf Algebras and 1-1 Tangles – knot diagrams that are cut at a point with the ends pulled apart.…
(more)

Subjects/Keywords: Knot Invariants; Hopf Algebras

Record Details Similar Records

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

APA (6^{th} Edition):

Simpson, D. H. (2019). The Application of Ribbon Hopf Algebras to Invariants of 1-1 Tangles. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/23681

Not specified: Masters Thesis or Doctoral Dissertation

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

Simpson, David H. “The Application of Ribbon Hopf Algebras to Invariants of 1-1 Tangles.” 2019. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/23681.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Simpson, David H. “The Application of Ribbon Hopf Algebras to Invariants of 1-1 Tangles.” 2019. Web. 15 Jul 2020.

Vancouver:

Simpson DH. The Application of Ribbon Hopf Algebras to Invariants of 1-1 Tangles. [Internet] [Thesis]. University of Illinois – Chicago; 2019. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/23681.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Simpson DH. The Application of Ribbon Hopf Algebras to Invariants of 1-1 Tangles. [Thesis]. University of Illinois – Chicago; 2019. Available from: http://hdl.handle.net/10027/23681

Not specified: Masters Thesis or Doctoral Dissertation

6. Gaster, Jonah B. Thurston's Skinning Map and Curves on Surfaces.

Degree: 2014, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/19003

► The ‘deformation space' of a given geometric structure on a fixed smooth manifold is a major theme in low-dimensional geometry. In this thesis we present…
(more)

Subjects/Keywords: Geometry; topology; skinning maps; maximal complete 1-systems; cube complex

Record Details Similar Records

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

APA (6^{th} Edition):

Gaster, J. B. (2014). Thurston's Skinning Map and Curves on Surfaces. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/19003

Not specified: Masters Thesis or Doctoral Dissertation

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

Gaster, Jonah B. “Thurston's Skinning Map and Curves on Surfaces.” 2014. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/19003.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Gaster, Jonah B. “Thurston's Skinning Map and Curves on Surfaces.” 2014. Web. 15 Jul 2020.

Vancouver:

Gaster JB. Thurston's Skinning Map and Curves on Surfaces. [Internet] [Thesis]. University of Illinois – Chicago; 2014. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/19003.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Gaster JB. Thurston's Skinning Map and Curves on Surfaces. [Thesis]. University of Illinois – Chicago; 2014. Available from: http://hdl.handle.net/10027/19003

Not specified: Masters Thesis or Doctoral Dissertation

7. Siler, William M. The Geometry of Carrier Graphs in Hyperbolic 3-Manifolds.

Degree: 2013, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/9909

► A carrier graph is a map from a finite graph to a hyperbolic 3-manifold M, which is surjective on the level of fundamental groups. We…
(more)

Subjects/Keywords: hyperbolic geometry; 3-manifold; carrier graph

Record Details Similar Records

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

APA (6^{th} Edition):

Siler, W. M. (2013). The Geometry of Carrier Graphs in Hyperbolic 3-Manifolds. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/9909

Not specified: Masters Thesis or Doctoral Dissertation

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

Siler, William M. “The Geometry of Carrier Graphs in Hyperbolic 3-Manifolds.” 2013. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/9909.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Siler, William M. “The Geometry of Carrier Graphs in Hyperbolic 3-Manifolds.” 2013. Web. 15 Jul 2020.

Vancouver:

Siler WM. The Geometry of Carrier Graphs in Hyperbolic 3-Manifolds. [Internet] [Thesis]. University of Illinois – Chicago; 2013. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/9909.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Siler WM. The Geometry of Carrier Graphs in Hyperbolic 3-Manifolds. [Thesis]. University of Illinois – Chicago; 2013. Available from: http://hdl.handle.net/10027/9909

Not specified: Masters Thesis or Doctoral Dissertation

8. Dexter, Kathleen D. Some Results on the Representation Theory of the Symplectic Similitude Group of Order Four.

Degree: 2012, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/9591

► We compute the asymptotic expansion of Whittaker functions of an element of the maximal torus for principal series representations. We consider irreducible, reducible, and singular…
(more)

Subjects/Keywords: Whittaker; asymptotic expansion; principal series; singular

Record Details Similar Records

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

APA (6^{th} Edition):

Dexter, K. D. (2012). Some Results on the Representation Theory of the Symplectic Similitude Group of Order Four. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/9591

Not specified: Masters Thesis or Doctoral Dissertation

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

Dexter, Kathleen D. “Some Results on the Representation Theory of the Symplectic Similitude Group of Order Four.” 2012. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/9591.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Dexter, Kathleen D. “Some Results on the Representation Theory of the Symplectic Similitude Group of Order Four.” 2012. Web. 15 Jul 2020.

Vancouver:

Dexter KD. Some Results on the Representation Theory of the Symplectic Similitude Group of Order Four. [Internet] [Thesis]. University of Illinois – Chicago; 2012. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/9591.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Dexter KD. Some Results on the Representation Theory of the Symplectic Similitude Group of Order Four. [Thesis]. University of Illinois – Chicago; 2012. Available from: http://hdl.handle.net/10027/9591

Not specified: Masters Thesis or Doctoral Dissertation

9. Groff, Bradley W. Splittings of Relatively Hyperbolic Groups.

Degree: 2013, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/10173

► We obtain a strong structural description for a broad subset of relatively hyperbolic groups, including all which are finitely-presented and one-ended. We additionally leverage this…
(more)

Subjects/Keywords: relatively hyperbolic groups; quasi-isometries; group splittings; geometric group theory

Record Details Similar Records

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

APA (6^{th} Edition):

Groff, B. W. (2013). Splittings of Relatively Hyperbolic Groups. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/10173

Not specified: Masters Thesis or Doctoral Dissertation

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

Groff, Bradley W. “Splittings of Relatively Hyperbolic Groups.” 2013. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/10173.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Groff, Bradley W. “Splittings of Relatively Hyperbolic Groups.” 2013. Web. 15 Jul 2020.

Vancouver:

Groff BW. Splittings of Relatively Hyperbolic Groups. [Internet] [Thesis]. University of Illinois – Chicago; 2013. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/10173.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Groff BW. Splittings of Relatively Hyperbolic Groups. [Thesis]. University of Illinois – Chicago; 2013. Available from: http://hdl.handle.net/10027/10173

Not specified: Masters Thesis or Doctoral Dissertation

10. Guzman, Rosemary K. Hyperbolic 3-manifolds with k-free fundamental group.

Degree: 2012, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/8926

► The results of Marc Culler and *Peter* *Shalen* for 2,3 or 4-free hyperbolic 3-manifolds are contingent on properties specific to and special about rank two…
(more)

Subjects/Keywords: hyperbolic 3-manifolds; k-free; 4-free; fundamental group; actions without inversions on a tree; rank-3 subgroups of a free group; 5-free

Record Details Similar Records

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

APA (6^{th} Edition):

Guzman, R. K. (2012). Hyperbolic 3-manifolds with k-free fundamental group. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/8926

Not specified: Masters Thesis or Doctoral Dissertation

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

Guzman, Rosemary K. “Hyperbolic 3-manifolds with k-free fundamental group.” 2012. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/8926.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Guzman, Rosemary K. “Hyperbolic 3-manifolds with k-free fundamental group.” 2012. Web. 15 Jul 2020.

Vancouver:

Guzman RK. Hyperbolic 3-manifolds with k-free fundamental group. [Internet] [Thesis]. University of Illinois – Chicago; 2012. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/8926.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Guzman RK. Hyperbolic 3-manifolds with k-free fundamental group. [Thesis]. University of Illinois – Chicago; 2012. Available from: http://hdl.handle.net/10027/8926

Not specified: Masters Thesis or Doctoral Dissertation

11. Bering, Edgar Andrew. Compatible Trees and Outer Automorphisms of a Free Group.

Degree: 2017, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/22014

► The analogy among linear groups, mapping class groups, and outer automorphism groups is imperfect. One point of disanalogy is McCarthy's theorem on two-generator subgroups of…
(more)

Subjects/Keywords: outer automorphism; real tree; geometric group theory; outer space; dehn twist; tits alternative; ping-pong; free group; guirardel core

Record Details Similar Records

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

APA (6^{th} Edition):

Bering, E. A. (2017). Compatible Trees and Outer Automorphisms of a Free Group. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/22014

Not specified: Masters Thesis or Doctoral Dissertation

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

Bering, Edgar Andrew. “Compatible Trees and Outer Automorphisms of a Free Group.” 2017. Thesis, University of Illinois – Chicago. Accessed July 15, 2020. http://hdl.handle.net/10027/22014.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Bering, Edgar Andrew. “Compatible Trees and Outer Automorphisms of a Free Group.” 2017. Web. 15 Jul 2020.

Vancouver:

Bering EA. Compatible Trees and Outer Automorphisms of a Free Group. [Internet] [Thesis]. University of Illinois – Chicago; 2017. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10027/22014.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Bering EA. Compatible Trees and Outer Automorphisms of a Free Group. [Thesis]. University of Illinois – Chicago; 2017. Available from: http://hdl.handle.net/10027/22014

Not specified: Masters Thesis or Doctoral Dissertation