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You searched for subject:(tropical geometry). Showing records 1 – 30 of 39 total matches.

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University of Illinois – Chicago

1. Sommars, Jeffrey C. Algorithms and Implementations in Computational Algebraic Geometry.

Degree: 2018, University of Illinois – Chicago

 In this thesis, we explore several areas of computational algebraic geometry, and develop new algorithms and software in each. We are generally interested in solving… (more)

Subjects/Keywords: Tropical geometry; computational algebraic geometry

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APA (6th Edition):

Sommars, J. C. (2018). Algorithms and Implementations in Computational Algebraic Geometry. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/22687

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Sommars, Jeffrey C. “Algorithms and Implementations in Computational Algebraic Geometry.” 2018. Thesis, University of Illinois – Chicago. Accessed October 26, 2020. http://hdl.handle.net/10027/22687.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Sommars, Jeffrey C. “Algorithms and Implementations in Computational Algebraic Geometry.” 2018. Web. 26 Oct 2020.

Vancouver:

Sommars JC. Algorithms and Implementations in Computational Algebraic Geometry. [Internet] [Thesis]. University of Illinois – Chicago; 2018. [cited 2020 Oct 26]. Available from: http://hdl.handle.net/10027/22687.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Sommars JC. Algorithms and Implementations in Computational Algebraic Geometry. [Thesis]. University of Illinois – Chicago; 2018. Available from: http://hdl.handle.net/10027/22687

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


University of California – Berkeley

2. Lin, Bo. Combinatorics and Computations in Tropical Mathematics.

Degree: Mathematics, 2017, University of California – Berkeley

 In recent decades, tropical mathematics gradually evolved as a field of study in mathematics and it has more and more interactions with other fields and… (more)

Subjects/Keywords: Mathematics; combinatorics; computation; tropical geometry

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APA (6th Edition):

Lin, B. (2017). Combinatorics and Computations in Tropical Mathematics. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/7cv95652

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Lin, Bo. “Combinatorics and Computations in Tropical Mathematics.” 2017. Thesis, University of California – Berkeley. Accessed October 26, 2020. http://www.escholarship.org/uc/item/7cv95652.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Lin, Bo. “Combinatorics and Computations in Tropical Mathematics.” 2017. Web. 26 Oct 2020.

Vancouver:

Lin B. Combinatorics and Computations in Tropical Mathematics. [Internet] [Thesis]. University of California – Berkeley; 2017. [cited 2020 Oct 26]. Available from: http://www.escholarship.org/uc/item/7cv95652.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Lin B. Combinatorics and Computations in Tropical Mathematics. [Thesis]. University of California – Berkeley; 2017. Available from: http://www.escholarship.org/uc/item/7cv95652

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


University of Alberta

3. Cuevas Pineda, Guillermo Javier. Tropical Geometry and Kapranov's Theorem.

Degree: MS, Department of Mathematical and Statistical Sciences, 2013, University of Alberta

 The tropical variety of a function (f=∑ cuxu∈ K[x1,∙s,xn]) is the set of points (r∈ℝn) where the minimum of (\val(cu)+< r,u>) is attained at least… (more)

Subjects/Keywords: Initial forms; Tropical Geometry

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APA (6th Edition):

Cuevas Pineda, G. J. (2013). Tropical Geometry and Kapranov's Theorem. (Masters Thesis). University of Alberta. Retrieved from https://era.library.ualberta.ca/files/cr494vk28j

Chicago Manual of Style (16th Edition):

Cuevas Pineda, Guillermo Javier. “Tropical Geometry and Kapranov's Theorem.” 2013. Masters Thesis, University of Alberta. Accessed October 26, 2020. https://era.library.ualberta.ca/files/cr494vk28j.

MLA Handbook (7th Edition):

Cuevas Pineda, Guillermo Javier. “Tropical Geometry and Kapranov's Theorem.” 2013. Web. 26 Oct 2020.

Vancouver:

Cuevas Pineda GJ. Tropical Geometry and Kapranov's Theorem. [Internet] [Masters thesis]. University of Alberta; 2013. [cited 2020 Oct 26]. Available from: https://era.library.ualberta.ca/files/cr494vk28j.

Council of Science Editors:

Cuevas Pineda GJ. Tropical Geometry and Kapranov's Theorem. [Masters Thesis]. University of Alberta; 2013. Available from: https://era.library.ualberta.ca/files/cr494vk28j


Columbia University

4. Deopurkar, Ashwin. Tropical geometry of curves with large theta characteristics.

Degree: 2017, Columbia University

 In this dissertation we study tropicalization curves which have a theta characteristic with large rank. This fits in the more general framework of studying the… (more)

Subjects/Keywords: Mathematics; Tropical geometry; Curves

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APA (6th Edition):

Deopurkar, A. (2017). Tropical geometry of curves with large theta characteristics. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/D8J67V6R

Chicago Manual of Style (16th Edition):

Deopurkar, Ashwin. “Tropical geometry of curves with large theta characteristics.” 2017. Doctoral Dissertation, Columbia University. Accessed October 26, 2020. https://doi.org/10.7916/D8J67V6R.

MLA Handbook (7th Edition):

Deopurkar, Ashwin. “Tropical geometry of curves with large theta characteristics.” 2017. Web. 26 Oct 2020.

Vancouver:

Deopurkar A. Tropical geometry of curves with large theta characteristics. [Internet] [Doctoral dissertation]. Columbia University; 2017. [cited 2020 Oct 26]. Available from: https://doi.org/10.7916/D8J67V6R.

Council of Science Editors:

Deopurkar A. Tropical geometry of curves with large theta characteristics. [Doctoral Dissertation]. Columbia University; 2017. Available from: https://doi.org/10.7916/D8J67V6R


University of Colorado

5. Willis, John Martin. Topological Foundations of Tropical Geometry.

Degree: PhD, 2019, University of Colorado

  We construct two subcanonical Grothendieck Topologies on the category of commutative, integral monoids and show that the moduli space of tropical curves is a… (more)

Subjects/Keywords: algebraic geometry; monoids; topology; tropical geometry; Mathematics

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APA (6th Edition):

Willis, J. M. (2019). Topological Foundations of Tropical Geometry. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/70

Chicago Manual of Style (16th Edition):

Willis, John Martin. “Topological Foundations of Tropical Geometry.” 2019. Doctoral Dissertation, University of Colorado. Accessed October 26, 2020. https://scholar.colorado.edu/math_gradetds/70.

MLA Handbook (7th Edition):

Willis, John Martin. “Topological Foundations of Tropical Geometry.” 2019. Web. 26 Oct 2020.

Vancouver:

Willis JM. Topological Foundations of Tropical Geometry. [Internet] [Doctoral dissertation]. University of Colorado; 2019. [cited 2020 Oct 26]. Available from: https://scholar.colorado.edu/math_gradetds/70.

Council of Science Editors:

Willis JM. Topological Foundations of Tropical Geometry. [Doctoral Dissertation]. University of Colorado; 2019. Available from: https://scholar.colorado.edu/math_gradetds/70


University of California – Berkeley

6. Tran, Ngoc Mai. Topics in Tropical Linear Algebra and Applied Probability.

Degree: Statistics, 2013, University of California – Berkeley

Tropical linear algebra is the study of classical linear algebra problems with arithmeticdone over the tropical semiring, namely with addition replaced by max, and multiplicationreplaced… (more)

Subjects/Keywords: Statistics; Mathematics; hopfield network; size-biased permutation; tropical eigenvector; tropical geometry; tropical linear algebra

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APA (6th Edition):

Tran, N. M. (2013). Topics in Tropical Linear Algebra and Applied Probability. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/0gc3m4p1

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Tran, Ngoc Mai. “Topics in Tropical Linear Algebra and Applied Probability.” 2013. Thesis, University of California – Berkeley. Accessed October 26, 2020. http://www.escholarship.org/uc/item/0gc3m4p1.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Tran, Ngoc Mai. “Topics in Tropical Linear Algebra and Applied Probability.” 2013. Web. 26 Oct 2020.

Vancouver:

Tran NM. Topics in Tropical Linear Algebra and Applied Probability. [Internet] [Thesis]. University of California – Berkeley; 2013. [cited 2020 Oct 26]. Available from: http://www.escholarship.org/uc/item/0gc3m4p1.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Tran NM. Topics in Tropical Linear Algebra and Applied Probability. [Thesis]. University of California – Berkeley; 2013. Available from: http://www.escholarship.org/uc/item/0gc3m4p1

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

7. Zwick, Patrick Dylan. Variations on a theme of symmetric tropical matrices.

Degree: PhD, Mathematics, 2014, University of Utah

Tropical geometry connects the fields of algebraic and polyhedral geometry. This connection has been used to discover much simpler proofs of fundamental theorems in algebraic… (more)

Subjects/Keywords: Algebraic geometry; Tropical geometry

…BASICS OF TROPICAL GEOMETRY AND TROPICAL LINEAR ALGEBRA Tropical geometry is a relatively new… …fundamental definitions and concepts from tropical geometry and tropical linear algebra that will… …geometry is the book by Maclagan and Sturmfels [13]. 1.1 Ranks of Tropical Matrices… …basic objects of tropical algebra and tropical geometry. am is a symbol, and represents a… …in Figure 1.1. Just as in standard algebraic geometry, there is a tropical notion of… 

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APA (6th Edition):

Zwick, P. D. (2014). Variations on a theme of symmetric tropical matrices. (Doctoral Dissertation). University of Utah. Retrieved from http://content.lib.utah.edu/cdm/singleitem/collection/etd3/id/3287/rec/2883

Chicago Manual of Style (16th Edition):

Zwick, Patrick Dylan. “Variations on a theme of symmetric tropical matrices.” 2014. Doctoral Dissertation, University of Utah. Accessed October 26, 2020. http://content.lib.utah.edu/cdm/singleitem/collection/etd3/id/3287/rec/2883.

MLA Handbook (7th Edition):

Zwick, Patrick Dylan. “Variations on a theme of symmetric tropical matrices.” 2014. Web. 26 Oct 2020.

Vancouver:

Zwick PD. Variations on a theme of symmetric tropical matrices. [Internet] [Doctoral dissertation]. University of Utah; 2014. [cited 2020 Oct 26]. Available from: http://content.lib.utah.edu/cdm/singleitem/collection/etd3/id/3287/rec/2883.

Council of Science Editors:

Zwick PD. Variations on a theme of symmetric tropical matrices. [Doctoral Dissertation]. University of Utah; 2014. Available from: http://content.lib.utah.edu/cdm/singleitem/collection/etd3/id/3287/rec/2883


University of Oregon

8. Kutler, Max. Faithful tropicalization of hypertoric varieties.

Degree: PhD, Department of Mathematics, 2017, University of Oregon

 The hypertoric variety M_A defined by an arrangement A of affine hyperplanes admits a natural tropicalization, induced by its embedding in a Lawrence toric variety.… (more)

Subjects/Keywords: Hypertoric varieties; Matroids; Non-Archimedean Geometry; Tropical geometry

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APA (6th Edition):

Kutler, M. (2017). Faithful tropicalization of hypertoric varieties. (Doctoral Dissertation). University of Oregon. Retrieved from http://hdl.handle.net/1794/22756

Chicago Manual of Style (16th Edition):

Kutler, Max. “Faithful tropicalization of hypertoric varieties.” 2017. Doctoral Dissertation, University of Oregon. Accessed October 26, 2020. http://hdl.handle.net/1794/22756.

MLA Handbook (7th Edition):

Kutler, Max. “Faithful tropicalization of hypertoric varieties.” 2017. Web. 26 Oct 2020.

Vancouver:

Kutler M. Faithful tropicalization of hypertoric varieties. [Internet] [Doctoral dissertation]. University of Oregon; 2017. [cited 2020 Oct 26]. Available from: http://hdl.handle.net/1794/22756.

Council of Science Editors:

Kutler M. Faithful tropicalization of hypertoric varieties. [Doctoral Dissertation]. University of Oregon; 2017. Available from: http://hdl.handle.net/1794/22756

9. Katz, Brian Paul. Tropical Hurwitz spaces.

Degree: PhD, Mathematics, 2011, University of Texas – Austin

 Hurwitz numbers are a weighted count of degree d ramified covers of curves with specified ramification profiles at marked points on the codomain curve. Isomorphism… (more)

Subjects/Keywords: Tropical geometry; Algebraic geometry

tropical geometry. This introduction establishes the basic definitions in each domain and frames… …Tropical Geometry Algebraic geometry is the study of the geometry of a set through properties of… …fields. 1.2.1 The Tropical Numbers, T Tropical algebraic geometry is algebraic geometry over… …the tropical numbers. To do tropical geometry, we must first define the tropical numbers and… …geometry, it should be a field. It turns out that the tropical numbers are not a field because of… 

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APA (6th Edition):

Katz, B. P. (2011). Tropical Hurwitz spaces. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/ETD-UT-2011-12-4777

Chicago Manual of Style (16th Edition):

Katz, Brian Paul. “Tropical Hurwitz spaces.” 2011. Doctoral Dissertation, University of Texas – Austin. Accessed October 26, 2020. http://hdl.handle.net/2152/ETD-UT-2011-12-4777.

MLA Handbook (7th Edition):

Katz, Brian Paul. “Tropical Hurwitz spaces.” 2011. Web. 26 Oct 2020.

Vancouver:

Katz BP. Tropical Hurwitz spaces. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2011. [cited 2020 Oct 26]. Available from: http://hdl.handle.net/2152/ETD-UT-2011-12-4777.

Council of Science Editors:

Katz BP. Tropical Hurwitz spaces. [Doctoral Dissertation]. University of Texas – Austin; 2011. Available from: http://hdl.handle.net/2152/ETD-UT-2011-12-4777


The Ohio State University

10. Nash, Evan D., Nash. Extended Tropicalization of Spherical Varieties.

Degree: PhD, Mathematics, 2018, The Ohio State University

 The first steps in defining a notion of spherical tropicalization were recently takenby Tassos Vogiannou in his thesis and by Kiumars Kaveh and Christopher Manonin… (more)

Subjects/Keywords: Mathematics; tropical geometry; algebraic geometry; spherical varieties; spherical homogeneous spaces

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APA (6th Edition):

Nash, Evan D., N. (2018). Extended Tropicalization of Spherical Varieties. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1523979975350178

Chicago Manual of Style (16th Edition):

Nash, Evan D., Nash. “Extended Tropicalization of Spherical Varieties.” 2018. Doctoral Dissertation, The Ohio State University. Accessed October 26, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=osu1523979975350178.

MLA Handbook (7th Edition):

Nash, Evan D., Nash. “Extended Tropicalization of Spherical Varieties.” 2018. Web. 26 Oct 2020.

Vancouver:

Nash, Evan D. N. Extended Tropicalization of Spherical Varieties. [Internet] [Doctoral dissertation]. The Ohio State University; 2018. [cited 2020 Oct 26]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1523979975350178.

Council of Science Editors:

Nash, Evan D. N. Extended Tropicalization of Spherical Varieties. [Doctoral Dissertation]. The Ohio State University; 2018. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1523979975350178

11. Chan, Melody Tung. Tropical curves and metric graphs.

Degree: Mathematics, 2012, University of California – Berkeley

 In just ten years, tropical geometry has established itself as an important new field bridging algebraic geometry and combinatorics whose techniques have been used to… (more)

Subjects/Keywords: Mathematics; tropical curves; tropical geometry

tropical geometry has established itself as an important new field bridging algebraic geometry… …fields. Tropical geometry also has important connections to areas as diverse as geometric group… …tropical geometry. On the one hand, it is a “combinatorial shadow” of algebraic geometry [… …perspective from which tropical geometry is a tool for taking finite snapshots of Berkovich… …perspective we take here is the perspective of tropical geometry [MS10]. From this… 

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APA (6th Edition):

Chan, M. T. (2012). Tropical curves and metric graphs. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/0nm4157r

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Chan, Melody Tung. “Tropical curves and metric graphs.” 2012. Thesis, University of California – Berkeley. Accessed October 26, 2020. http://www.escholarship.org/uc/item/0nm4157r.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Chan, Melody Tung. “Tropical curves and metric graphs.” 2012. Web. 26 Oct 2020.

Vancouver:

Chan MT. Tropical curves and metric graphs. [Internet] [Thesis]. University of California – Berkeley; 2012. [cited 2020 Oct 26]. Available from: http://www.escholarship.org/uc/item/0nm4157r.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Chan MT. Tropical curves and metric graphs. [Thesis]. University of California – Berkeley; 2012. Available from: http://www.escholarship.org/uc/item/0nm4157r

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


Indian Institute of Science

12. Sen, Aritra. Module Grobner Bases Over Fields With Valuation.

Degree: MSc Engg, Faculty of Engineering, 2017, Indian Institute of Science

Tropical geometry is an area of mathematics that interfaces algebraic geometry and combinatorics. The main object of study in tropical geometry is the tropical variety,… (more)

Subjects/Keywords: Grobner Basis; Tropical Algebraic Geometry; Grobner Basis Theory; Hilbert Polynomials; Syzygies; Free Resolutions; Computational Geometry; Grobner Basis Computation; Algebraic Geometry; Tropical Geometry; Grobner Bases; Mathematics

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APA (6th Edition):

Sen, A. (2017). Module Grobner Bases Over Fields With Valuation. (Masters Thesis). Indian Institute of Science. Retrieved from http://etd.iisc.ac.in/handle/2005/2644

Chicago Manual of Style (16th Edition):

Sen, Aritra. “Module Grobner Bases Over Fields With Valuation.” 2017. Masters Thesis, Indian Institute of Science. Accessed October 26, 2020. http://etd.iisc.ac.in/handle/2005/2644.

MLA Handbook (7th Edition):

Sen, Aritra. “Module Grobner Bases Over Fields With Valuation.” 2017. Web. 26 Oct 2020.

Vancouver:

Sen A. Module Grobner Bases Over Fields With Valuation. [Internet] [Masters thesis]. Indian Institute of Science; 2017. [cited 2020 Oct 26]. Available from: http://etd.iisc.ac.in/handle/2005/2644.

Council of Science Editors:

Sen A. Module Grobner Bases Over Fields With Valuation. [Masters Thesis]. Indian Institute of Science; 2017. Available from: http://etd.iisc.ac.in/handle/2005/2644


University of Illinois – Chicago

13. Bliss, Nathan R. Computing Series Expansions of Algebraic Space Curves.

Degree: 2018, University of Illinois – Chicago

 We work towards a series-based computational approach for polynomial systems having positive-dimensional solution sets. The tropical variety gives information on the exponents of the leading… (more)

Subjects/Keywords: computational algebraic geometry; puiseux series; gauss-newton algorithm; tropical geometry; polynomial systems; homotopy continuation

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APA (6th Edition):

Bliss, N. R. (2018). Computing Series Expansions of Algebraic Space Curves. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/22682

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Bliss, Nathan R. “Computing Series Expansions of Algebraic Space Curves.” 2018. Thesis, University of Illinois – Chicago. Accessed October 26, 2020. http://hdl.handle.net/10027/22682.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Bliss, Nathan R. “Computing Series Expansions of Algebraic Space Curves.” 2018. Web. 26 Oct 2020.

Vancouver:

Bliss NR. Computing Series Expansions of Algebraic Space Curves. [Internet] [Thesis]. University of Illinois – Chicago; 2018. [cited 2020 Oct 26]. Available from: http://hdl.handle.net/10027/22682.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Bliss NR. Computing Series Expansions of Algebraic Space Curves. [Thesis]. University of Illinois – Chicago; 2018. Available from: http://hdl.handle.net/10027/22682

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


University of Kentucky

14. Sawyer, Kalila Joelle. Scrollar Invariants of Tropical Chains of Loops.

Degree: 2020, University of Kentucky

 We define scrollar invariants of tropical curves with a fixed divisor of rank 1. We examine the behavior of scrollar invariants under specialization, and compute… (more)

Subjects/Keywords: tropical geometry; divisor theory; scrollar invariants; Maroni invariant; young tableaux; Algebraic Geometry

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APA (6th Edition):

Sawyer, K. J. (2020). Scrollar Invariants of Tropical Chains of Loops. (Doctoral Dissertation). University of Kentucky. Retrieved from https://uknowledge.uky.edu/math_etds/68

Chicago Manual of Style (16th Edition):

Sawyer, Kalila Joelle. “Scrollar Invariants of Tropical Chains of Loops.” 2020. Doctoral Dissertation, University of Kentucky. Accessed October 26, 2020. https://uknowledge.uky.edu/math_etds/68.

MLA Handbook (7th Edition):

Sawyer, Kalila Joelle. “Scrollar Invariants of Tropical Chains of Loops.” 2020. Web. 26 Oct 2020.

Vancouver:

Sawyer KJ. Scrollar Invariants of Tropical Chains of Loops. [Internet] [Doctoral dissertation]. University of Kentucky; 2020. [cited 2020 Oct 26]. Available from: https://uknowledge.uky.edu/math_etds/68.

Council of Science Editors:

Sawyer KJ. Scrollar Invariants of Tropical Chains of Loops. [Doctoral Dissertation]. University of Kentucky; 2020. Available from: https://uknowledge.uky.edu/math_etds/68

15. Jun, Jai Ung. Algebraic geometry over semi-structures and hyper-structures of characteristic one.

Degree: 2015, Johns Hopkins University

 In this thesis, we study algebraic geometry in characteristic one from the perspective of semirings and hyperrings. The thesis largely consists of three parts: (1)… (more)

Subjects/Keywords: geometries in characteristic one; tropical geometry; semiring schemes; hyperring schemes

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APA (6th Edition):

Jun, J. U. (2015). Algebraic geometry over semi-structures and hyper-structures of characteristic one. (Thesis). Johns Hopkins University. Retrieved from http://jhir.library.jhu.edu/handle/1774.2/37850

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Jun, Jai Ung. “Algebraic geometry over semi-structures and hyper-structures of characteristic one.” 2015. Thesis, Johns Hopkins University. Accessed October 26, 2020. http://jhir.library.jhu.edu/handle/1774.2/37850.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Jun, Jai Ung. “Algebraic geometry over semi-structures and hyper-structures of characteristic one.” 2015. Web. 26 Oct 2020.

Vancouver:

Jun JU. Algebraic geometry over semi-structures and hyper-structures of characteristic one. [Internet] [Thesis]. Johns Hopkins University; 2015. [cited 2020 Oct 26]. Available from: http://jhir.library.jhu.edu/handle/1774.2/37850.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Jun JU. Algebraic geometry over semi-structures and hyper-structures of characteristic one. [Thesis]. Johns Hopkins University; 2015. Available from: http://jhir.library.jhu.edu/handle/1774.2/37850

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


University of Illinois – Chicago

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

Degree: 2013, University of Illinois – Chicago

 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

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APA (6th Edition):

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

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Brasile, Andrew. “Essential Spunnormal Surfaces via Tropical Geometry.” 2013. Thesis, University of Illinois – Chicago. Accessed October 26, 2020. http://hdl.handle.net/10027/10117.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Brasile, Andrew. “Essential Spunnormal Surfaces via Tropical Geometry.” 2013. Web. 26 Oct 2020.

Vancouver:

Brasile A. Essential Spunnormal Surfaces via Tropical Geometry. [Internet] [Thesis]. University of Illinois – Chicago; 2013. [cited 2020 Oct 26]. Available from: http://hdl.handle.net/10027/10117.

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

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


University of Kentucky

17. Kang, Qiwen. UNSUPERVISED LEARNING IN PHYLOGENOMIC ANALYSIS OVER THE SPACE OF PHYLOGENETIC TREES.

Degree: 2019, University of Kentucky

 A phylogenetic tree is a tree to represent an evolutionary history between species or other entities. Phylogenomics is a new field intersecting phylogenetics and genomics… (more)

Subjects/Keywords: Evolutionary models; Gene trees; Phylogenomics; MCMC; Tropical geometry; Biostatistics; Statistical Methodology

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APA (6th Edition):

Kang, Q. (2019). UNSUPERVISED LEARNING IN PHYLOGENOMIC ANALYSIS OVER THE SPACE OF PHYLOGENETIC TREES. (Doctoral Dissertation). University of Kentucky. Retrieved from https://uknowledge.uky.edu/statistics_etds/39

Chicago Manual of Style (16th Edition):

Kang, Qiwen. “UNSUPERVISED LEARNING IN PHYLOGENOMIC ANALYSIS OVER THE SPACE OF PHYLOGENETIC TREES.” 2019. Doctoral Dissertation, University of Kentucky. Accessed October 26, 2020. https://uknowledge.uky.edu/statistics_etds/39.

MLA Handbook (7th Edition):

Kang, Qiwen. “UNSUPERVISED LEARNING IN PHYLOGENOMIC ANALYSIS OVER THE SPACE OF PHYLOGENETIC TREES.” 2019. Web. 26 Oct 2020.

Vancouver:

Kang Q. UNSUPERVISED LEARNING IN PHYLOGENOMIC ANALYSIS OVER THE SPACE OF PHYLOGENETIC TREES. [Internet] [Doctoral dissertation]. University of Kentucky; 2019. [cited 2020 Oct 26]. Available from: https://uknowledge.uky.edu/statistics_etds/39.

Council of Science Editors:

Kang Q. UNSUPERVISED LEARNING IN PHYLOGENOMIC ANALYSIS OVER THE SPACE OF PHYLOGENETIC TREES. [Doctoral Dissertation]. University of Kentucky; 2019. Available from: https://uknowledge.uky.edu/statistics_etds/39

18. Haque, Mohammad Moinul. Realizability of tropical lines in the fan tropical plane.

Degree: PhD, Mathematics, 2013, University of Texas – Austin

 In this thesis we construct an analogue in tropical geometry for a class of Schubert varieties from classical geometry. In particular, we look at the… (more)

Subjects/Keywords: Tropical geometry; Algebraic geometry; Geometry; Tropical; Deformation theory; Obstruction; Realizability

…x 58 60 61 62 64 66 69 70 71 Chapter 1 Introduction Tropical geometry deals with the… …schemes [3]. Using tropical geometry, Mikhalkin was able to compute the same number by… …x5B;2]. 4 Chapter 2 Background on Tropical Geometry Tropical geometry is a branch… …makes tropical geometry useful for algebraic geometers, as it provides a means of gaining… …Computations of The Obstruction 57 6.1 Tropical Lines of Type 2A in the Fan Tropical Plane… 

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APA (6th Edition):

Haque, M. M. (2013). Realizability of tropical lines in the fan tropical plane. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/21209

Chicago Manual of Style (16th Edition):

Haque, Mohammad Moinul. “Realizability of tropical lines in the fan tropical plane.” 2013. Doctoral Dissertation, University of Texas – Austin. Accessed October 26, 2020. http://hdl.handle.net/2152/21209.

MLA Handbook (7th Edition):

Haque, Mohammad Moinul. “Realizability of tropical lines in the fan tropical plane.” 2013. Web. 26 Oct 2020.

Vancouver:

Haque MM. Realizability of tropical lines in the fan tropical plane. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2013. [cited 2020 Oct 26]. Available from: http://hdl.handle.net/2152/21209.

Council of Science Editors:

Haque MM. Realizability of tropical lines in the fan tropical plane. [Doctoral Dissertation]. University of Texas – Austin; 2013. Available from: http://hdl.handle.net/2152/21209


Texas A&M University

19. Ergur, Alperen Ali. Sparsity, Randomness and Convexity in Applied Algebraic Geometry.

Degree: PhD, Mathematics, 2016, Texas A&M University

 In this dissertation we study three problems in applied algebraic geometry. The first problem is to construct an algorithmically efficient approximation to the real part… (more)

Subjects/Keywords: convex geometric analysis; algebraic geometry; tropical geometry; condition number; random polynomials; sums of squares; semidefinite programing

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APA (6th Edition):

Ergur, A. A. (2016). Sparsity, Randomness and Convexity in Applied Algebraic Geometry. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/157846

Chicago Manual of Style (16th Edition):

Ergur, Alperen Ali. “Sparsity, Randomness and Convexity in Applied Algebraic Geometry.” 2016. Doctoral Dissertation, Texas A&M University. Accessed October 26, 2020. http://hdl.handle.net/1969.1/157846.

MLA Handbook (7th Edition):

Ergur, Alperen Ali. “Sparsity, Randomness and Convexity in Applied Algebraic Geometry.” 2016. Web. 26 Oct 2020.

Vancouver:

Ergur AA. Sparsity, Randomness and Convexity in Applied Algebraic Geometry. [Internet] [Doctoral dissertation]. Texas A&M University; 2016. [cited 2020 Oct 26]. Available from: http://hdl.handle.net/1969.1/157846.

Council of Science Editors:

Ergur AA. Sparsity, Randomness and Convexity in Applied Algebraic Geometry. [Doctoral Dissertation]. Texas A&M University; 2016. Available from: http://hdl.handle.net/1969.1/157846


Freie Universität Berlin

20. Castillejo Blasco, Pedro Ángel. Die Topologie der konjugierten Berkovich-Räume.

Degree: 2020, Freie Universität Berlin

 We want to understand how the topology of Berkovich spaces varies when we conjugate the non-archimedean base field. After a short introduction with a discussion… (more)

Subjects/Keywords: arithmetic geometric; non-archimedean geometry; tropical geometry; topology; Berkovich spaces; ddc:512; ddc:513; ddc:516

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APA (6th Edition):

Castillejo Blasco, P. . (2020). Die Topologie der konjugierten Berkovich-Räume. (Thesis). Freie Universität Berlin. Retrieved from http://dx.doi.org/10.17169/refubium-27448

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Castillejo Blasco, Pedro Ángel. “Die Topologie der konjugierten Berkovich-Räume.” 2020. Thesis, Freie Universität Berlin. Accessed October 26, 2020. http://dx.doi.org/10.17169/refubium-27448.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Castillejo Blasco, Pedro Ángel. “Die Topologie der konjugierten Berkovich-Räume.” 2020. Web. 26 Oct 2020.

Vancouver:

Castillejo Blasco P. Die Topologie der konjugierten Berkovich-Räume. [Internet] [Thesis]. Freie Universität Berlin; 2020. [cited 2020 Oct 26]. Available from: http://dx.doi.org/10.17169/refubium-27448.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Castillejo Blasco P. Die Topologie der konjugierten Berkovich-Räume. [Thesis]. Freie Universität Berlin; 2020. Available from: http://dx.doi.org/10.17169/refubium-27448

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

21. El Hilany, Boulos. Géométrie tropicale et systèmes polynomiaux : Tropical geometry and polynomial systems.

Degree: Docteur es, Mathématiques, 2016, Université Grenoble Alpes (ComUE)

 Les systèmes polynomiaux réels sont omniprésents dans de nombreux domaines des mathématiques pures et appliquées. A. Khovanskii a fourni une borne fewnomiale supérieure sur le… (more)

Subjects/Keywords: Géométrie Algébrique Réelle; Théorie des Fewnomials; Géométrie Tropicale; Systèmes Polynomiaux; Real Algebraic Geometry; Theory of Fewnomials; Tropical Geometry; Polynomial Systems; 516

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APA (6th Edition):

El Hilany, B. (2016). Géométrie tropicale et systèmes polynomiaux : Tropical geometry and polynomial systems. (Doctoral Dissertation). Université Grenoble Alpes (ComUE). Retrieved from http://www.theses.fr/2016GREAM037

Chicago Manual of Style (16th Edition):

El Hilany, Boulos. “Géométrie tropicale et systèmes polynomiaux : Tropical geometry and polynomial systems.” 2016. Doctoral Dissertation, Université Grenoble Alpes (ComUE). Accessed October 26, 2020. http://www.theses.fr/2016GREAM037.

MLA Handbook (7th Edition):

El Hilany, Boulos. “Géométrie tropicale et systèmes polynomiaux : Tropical geometry and polynomial systems.” 2016. Web. 26 Oct 2020.

Vancouver:

El Hilany B. Géométrie tropicale et systèmes polynomiaux : Tropical geometry and polynomial systems. [Internet] [Doctoral dissertation]. Université Grenoble Alpes (ComUE); 2016. [cited 2020 Oct 26]. Available from: http://www.theses.fr/2016GREAM037.

Council of Science Editors:

El Hilany B. Géométrie tropicale et systèmes polynomiaux : Tropical geometry and polynomial systems. [Doctoral Dissertation]. Université Grenoble Alpes (ComUE); 2016. Available from: http://www.theses.fr/2016GREAM037


University of California – Berkeley

22. Cueto, Maria Angelica. Tropical implicitization.

Degree: Mathematics, 2010, University of California – Berkeley

 In recent years, tropical geometry has developed as a theory on its own. Its two main aims are to answer open questions in algebraic geometry(more)

Subjects/Keywords: Mathematics; algebraic statistics; geometric tropicalization; Hadamard products; Newton polytope; secant varieties; tropical geometry

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APA (6th Edition):

Cueto, M. A. (2010). Tropical implicitization. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/7d6845sr

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Cueto, Maria Angelica. “Tropical implicitization.” 2010. Thesis, University of California – Berkeley. Accessed October 26, 2020. http://www.escholarship.org/uc/item/7d6845sr.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Cueto, Maria Angelica. “Tropical implicitization.” 2010. Web. 26 Oct 2020.

Vancouver:

Cueto MA. Tropical implicitization. [Internet] [Thesis]. University of California – Berkeley; 2010. [cited 2020 Oct 26]. Available from: http://www.escholarship.org/uc/item/7d6845sr.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Cueto MA. Tropical implicitization. [Thesis]. University of California – Berkeley; 2010. Available from: http://www.escholarship.org/uc/item/7d6845sr

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


King Abdullah University of Science and Technology

23. Alfarra, Motasem. Applications of Tropical Geometry in Deep Neural Networks.

Degree: 2020, King Abdullah University of Science and Technology

 This thesis tackles the problem of understanding deep neural network with piece- wise linear activation functions. We leverage tropical geometry, a relatively new field in… (more)

Subjects/Keywords: Deep Learning; Deep Neural Networks; Tropical Geometry; Network Pruning; Lottery Ticket Hypothesis; Adversarial Attacks

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APA (6th Edition):

Alfarra, M. (2020). Applications of Tropical Geometry in Deep Neural Networks. (Thesis). King Abdullah University of Science and Technology. Retrieved from http://hdl.handle.net/10754/662473

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Alfarra, Motasem. “Applications of Tropical Geometry in Deep Neural Networks.” 2020. Thesis, King Abdullah University of Science and Technology. Accessed October 26, 2020. http://hdl.handle.net/10754/662473.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Alfarra, Motasem. “Applications of Tropical Geometry in Deep Neural Networks.” 2020. Web. 26 Oct 2020.

Vancouver:

Alfarra M. Applications of Tropical Geometry in Deep Neural Networks. [Internet] [Thesis]. King Abdullah University of Science and Technology; 2020. [cited 2020 Oct 26]. Available from: http://hdl.handle.net/10754/662473.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Alfarra M. Applications of Tropical Geometry in Deep Neural Networks. [Thesis]. King Abdullah University of Science and Technology; 2020. Available from: http://hdl.handle.net/10754/662473

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


University of California – Berkeley

24. Vinzant, Cynthia Leslie. Real Algebraic Geometry in Convex Optimization.

Degree: Mathematics, 2011, University of California – Berkeley

 In the past twenty years, a strong interplay has developed between convex optimization and algebraic geometry. Algebraic geometry provides necessary tools to analyze the behavior… (more)

Subjects/Keywords: Mathematics; Applied Mathematics; central paths; convex hulls of curves; quartic plane curves; real tropical geometry; semidefinite programming; sums of squares

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APA (6th Edition):

Vinzant, C. L. (2011). Real Algebraic Geometry in Convex Optimization. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/5dt9t63z

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Vinzant, Cynthia Leslie. “Real Algebraic Geometry in Convex Optimization.” 2011. Thesis, University of California – Berkeley. Accessed October 26, 2020. http://www.escholarship.org/uc/item/5dt9t63z.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Vinzant, Cynthia Leslie. “Real Algebraic Geometry in Convex Optimization.” 2011. Web. 26 Oct 2020.

Vancouver:

Vinzant CL. Real Algebraic Geometry in Convex Optimization. [Internet] [Thesis]. University of California – Berkeley; 2011. [cited 2020 Oct 26]. Available from: http://www.escholarship.org/uc/item/5dt9t63z.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Vinzant CL. Real Algebraic Geometry in Convex Optimization. [Thesis]. University of California – Berkeley; 2011. Available from: http://www.escholarship.org/uc/item/5dt9t63z

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


Brigham Young University

25. Ellis, Amanda. Classifcation of Conics in the Tropical Projective Plane.

Degree: MS, 2005, Brigham Young University

 This paper defines tropical projective space, TP^n, and the tropical general linear group TPGL(n). After discussing some simple examples of tropical polynomials and their hypersurfaces,… (more)

Subjects/Keywords: tropical; algebraic geometry; convex hull; conics; Mathematics

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APA (6th Edition):

Ellis, A. (2005). Classifcation of Conics in the Tropical Projective Plane. (Masters Thesis). Brigham Young University. Retrieved from https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=1696&context=etd

Chicago Manual of Style (16th Edition):

Ellis, Amanda. “Classifcation of Conics in the Tropical Projective Plane.” 2005. Masters Thesis, Brigham Young University. Accessed October 26, 2020. https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=1696&context=etd.

MLA Handbook (7th Edition):

Ellis, Amanda. “Classifcation of Conics in the Tropical Projective Plane.” 2005. Web. 26 Oct 2020.

Vancouver:

Ellis A. Classifcation of Conics in the Tropical Projective Plane. [Internet] [Masters thesis]. Brigham Young University; 2005. [cited 2020 Oct 26]. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=1696&context=etd.

Council of Science Editors:

Ellis A. Classifcation of Conics in the Tropical Projective Plane. [Masters Thesis]. Brigham Young University; 2005. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=1696&context=etd

26. Lin, Yu-Shen. Open Gromov-Witten Invariants on Elliptic K3 Surfaces and Wall-Crossing.

Degree: 2013, Harvard University

We defined a new type of open Gromov-Witten invariants on hyperKäher manifolds with holomorphic

Mathematics

Advisors/Committee Members: Yau, Shing-Tung, Yau, Shing-Tung, Taubes, Clifford, Kronheimer, Peter.

Subjects/Keywords: Mathematics; Gromov-Witten; tropical geometry; Wall-Crossing

tropical geometry and holomorphic geometry. We will present an non-trivial example of wall… …to learn algebraic geometry from Professor Jung-Kai Chen and it is Professor I-Hsun Tsai… …conjecture. They incorporated the instanton problems of complex structure with the tropical… …geometry. Inspiring by closed topological string theory, Gromov-Witten theory is a useful tool in… …probing algebraic geometry/ symplectic geometry and produces interesting enumerative invariants… 

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APA (6th Edition):

Lin, Y. (2013). Open Gromov-Witten Invariants on Elliptic K3 Surfaces and Wall-Crossing. (Thesis). Harvard University. Retrieved from http://nrs.harvard.edu/urn-3:HUL.InstRepos:11158239

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Lin, Yu-Shen. “Open Gromov-Witten Invariants on Elliptic K3 Surfaces and Wall-Crossing.” 2013. Thesis, Harvard University. Accessed October 26, 2020. http://nrs.harvard.edu/urn-3:HUL.InstRepos:11158239.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Lin, Yu-Shen. “Open Gromov-Witten Invariants on Elliptic K3 Surfaces and Wall-Crossing.” 2013. Web. 26 Oct 2020.

Vancouver:

Lin Y. Open Gromov-Witten Invariants on Elliptic K3 Surfaces and Wall-Crossing. [Internet] [Thesis]. Harvard University; 2013. [cited 2020 Oct 26]. Available from: http://nrs.harvard.edu/urn-3:HUL.InstRepos:11158239.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Lin Y. Open Gromov-Witten Invariants on Elliptic K3 Surfaces and Wall-Crossing. [Thesis]. Harvard University; 2013. Available from: http://nrs.harvard.edu/urn-3:HUL.InstRepos:11158239

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


Freie Universität Berlin

27. Olarte, Jorge Alberto. Polytopen-Unterteilungen in Grassmannschen, tropische Geometrie und algebraische Kurven.

Degree: 2020, Freie Universität Berlin

 This thesis studies three particular types polytopal subdivisions with concrete applica- tions to other mathematical objects, particularly in algebraic geometry. The first type of polytopal… (more)

Subjects/Keywords: Polytopal subdivisions; Grassmannians; tropical linear spaces; Harnack curves; 500 Natural sciences and mathematics::510 Mathematics::516 Geometry

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APA (6th Edition):

Olarte, J. A. (2020). Polytopen-Unterteilungen in Grassmannschen, tropische Geometrie und algebraische Kurven. (Thesis). Freie Universität Berlin. Retrieved from http://dx.doi.org/10.17169/refubium-26531

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Olarte, Jorge Alberto. “Polytopen-Unterteilungen in Grassmannschen, tropische Geometrie und algebraische Kurven.” 2020. Thesis, Freie Universität Berlin. Accessed October 26, 2020. http://dx.doi.org/10.17169/refubium-26531.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Olarte, Jorge Alberto. “Polytopen-Unterteilungen in Grassmannschen, tropische Geometrie und algebraische Kurven.” 2020. Web. 26 Oct 2020.

Vancouver:

Olarte JA. Polytopen-Unterteilungen in Grassmannschen, tropische Geometrie und algebraische Kurven. [Internet] [Thesis]. Freie Universität Berlin; 2020. [cited 2020 Oct 26]. Available from: http://dx.doi.org/10.17169/refubium-26531.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Olarte JA. Polytopen-Unterteilungen in Grassmannschen, tropische Geometrie und algebraische Kurven. [Thesis]. Freie Universität Berlin; 2020. Available from: http://dx.doi.org/10.17169/refubium-26531

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


Georgia Tech

28. Backman, Spencer Christopher Foster. Combinatorial divisor theory for graphs.

Degree: PhD, Mathematics, 2014, Georgia Tech

 Chip-firing is a deceptively simple game played on the vertices of a graph, which was independently discovered in probability theory, poset theory, graph theory, and… (more)

Subjects/Keywords: Chip-firing; Graph; Tropical curve; Riemann-Roch; Orientation; Divisor theory; Combinatorial analysis; Graph theory; Geometry, Algebraic; Number theory

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APA (6th Edition):

Backman, S. C. F. (2014). Combinatorial divisor theory for graphs. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/51908

Chicago Manual of Style (16th Edition):

Backman, Spencer Christopher Foster. “Combinatorial divisor theory for graphs.” 2014. Doctoral Dissertation, Georgia Tech. Accessed October 26, 2020. http://hdl.handle.net/1853/51908.

MLA Handbook (7th Edition):

Backman, Spencer Christopher Foster. “Combinatorial divisor theory for graphs.” 2014. Web. 26 Oct 2020.

Vancouver:

Backman SCF. Combinatorial divisor theory for graphs. [Internet] [Doctoral dissertation]. Georgia Tech; 2014. [cited 2020 Oct 26]. Available from: http://hdl.handle.net/1853/51908.

Council of Science Editors:

Backman SCF. Combinatorial divisor theory for graphs. [Doctoral Dissertation]. Georgia Tech; 2014. Available from: http://hdl.handle.net/1853/51908

29. Peabody, Jamie. The GIT fan for a Mori dream space and the μ-secondary polytope.

Degree: PhD, Department of Mathematics, 2019, Kansas State University

 Geometric invariant theory (GIT) was developed by Mumford as a method for constructing quotients by group actions in the context of algebraic geometry. This construction… (more)

Subjects/Keywords: Geometric invariant theory; Mori dream spaces; Tropical geometry; Toric geometry

tropical geometry, following the conventions in [MS15]. A process called… …tropical geometry, questions about algebraic varieties can be translated into questions about… …with chambers labeled by the corresponding triangulation 21 3.1 Examples of tropical… …x5B;MFK94] and studies quotients by group actions in the context of algebraic geometry… …because they have a nice combinatorial description. The geometry of a toric variety is… 

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APA (6th Edition):

Peabody, J. (2019). The GIT fan for a Mori dream space and the μ-secondary polytope. (Doctoral Dissertation). Kansas State University. Retrieved from http://hdl.handle.net/2097/40016

Chicago Manual of Style (16th Edition):

Peabody, Jamie. “The GIT fan for a Mori dream space and the μ-secondary polytope.” 2019. Doctoral Dissertation, Kansas State University. Accessed October 26, 2020. http://hdl.handle.net/2097/40016.

MLA Handbook (7th Edition):

Peabody, Jamie. “The GIT fan for a Mori dream space and the μ-secondary polytope.” 2019. Web. 26 Oct 2020.

Vancouver:

Peabody J. The GIT fan for a Mori dream space and the μ-secondary polytope. [Internet] [Doctoral dissertation]. Kansas State University; 2019. [cited 2020 Oct 26]. Available from: http://hdl.handle.net/2097/40016.

Council of Science Editors:

Peabody J. The GIT fan for a Mori dream space and the μ-secondary polytope. [Doctoral Dissertation]. Kansas State University; 2019. Available from: http://hdl.handle.net/2097/40016

30. Diemer, Colin. The Birational Geometry of Tropical Compactifications.

Degree: 2010, University of Pennsylvania

 We study compactifications of subvarieties of algebraic tori using methods from the still developing subject of tropical geometry. Associated to each ``tropical" compactification is a… (more)

Subjects/Keywords: Tropical; Birational; Compactifications; Algebraic Geometry; Toric Varieties; Log Geometry; Algebraic Geometry

Geometry In this chapter we review the theory of tropical compactifications, introduced in [… …foundations of the subject of tropical geometry as a whole, and instead focus only on constructions… …geometry, or also the in progress draft of a textbook on tropical geometry by Maclagan and… …assume knowl4 edge of basic algebraic geometry, and may introduce definitions and basic… …divisor if and only if each irreducible component of D is smooth. 5 Chapter 1 Tropical… 

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APA (6th Edition):

Diemer, C. (2010). The Birational Geometry of Tropical Compactifications. (Thesis). University of Pennsylvania. Retrieved from https://repository.upenn.edu/edissertations/96

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Diemer, Colin. “The Birational Geometry of Tropical Compactifications.” 2010. Thesis, University of Pennsylvania. Accessed October 26, 2020. https://repository.upenn.edu/edissertations/96.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Diemer, Colin. “The Birational Geometry of Tropical Compactifications.” 2010. Web. 26 Oct 2020.

Vancouver:

Diemer C. The Birational Geometry of Tropical Compactifications. [Internet] [Thesis]. University of Pennsylvania; 2010. [cited 2020 Oct 26]. Available from: https://repository.upenn.edu/edissertations/96.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Diemer C. The Birational Geometry of Tropical Compactifications. [Thesis]. University of Pennsylvania; 2010. Available from: https://repository.upenn.edu/edissertations/96

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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