subject:(algebraic combinatorics)

University of Waterloo

1. Chan, Kelvin Tian Yi. Induction Relations in the Symmetric Groups and Jucys-Murphy Elements.

Degree: 2018, University of Waterloo

► Transitive factorizations faithfully encode many interesting objects. The well-known ones include ramified coverings of the sphere and hypermaps. Enumeration of specific classes of such objects… (more)

Subjects/Keywords: Algebraic Combinatorics

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APA (6^th Edition):

Chan, K. T. Y. (2018). Induction Relations in the Symmetric Groups and Jucys-Murphy Elements. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/13601

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):

Chan, Kelvin Tian Yi. “Induction Relations in the Symmetric Groups and Jucys-Murphy Elements.” 2018. Thesis, University of Waterloo. Accessed March 07, 2021. http://hdl.handle.net/10012/13601.

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

MLA Handbook (7^th Edition):

Chan, Kelvin Tian Yi. “Induction Relations in the Symmetric Groups and Jucys-Murphy Elements.” 2018. Web. 07 Mar 2021.

Vancouver:

Chan KTY. Induction Relations in the Symmetric Groups and Jucys-Murphy Elements. [Internet] [Thesis]. University of Waterloo; 2018. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/10012/13601.

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

Council of Science Editors:

Chan KTY. Induction Relations in the Symmetric Groups and Jucys-Murphy Elements. [Thesis]. University of Waterloo; 2018. Available from: http://hdl.handle.net/10012/13601

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

Cornell University

2. Snider, Michelle. Affine Patches On Positroid Varieties And Affine Pipe Dreams.

Degree: PhD, Mathematics, 2011, Cornell University

URL: http://hdl.handle.net/1813/33472

► The objects of interest in this thesis are positroid varieties in the Grassmannian, which are indexed by juggling patterns. In particular, we study affine patches… (more)

Subjects/Keywords: algebraic combinatorics; algebraic geometry

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APA (6^th Edition):

Snider, M. (2011). Affine Patches On Positroid Varieties And Affine Pipe Dreams. (Doctoral Dissertation). Cornell University. Retrieved from http://hdl.handle.net/1813/33472

Chicago Manual of Style (16^th Edition):

Snider, Michelle. “Affine Patches On Positroid Varieties And Affine Pipe Dreams.” 2011. Doctoral Dissertation, Cornell University. Accessed March 07, 2021. http://hdl.handle.net/1813/33472.

MLA Handbook (7^th Edition):

Snider, Michelle. “Affine Patches On Positroid Varieties And Affine Pipe Dreams.” 2011. Web. 07 Mar 2021.

Vancouver:

Snider M. Affine Patches On Positroid Varieties And Affine Pipe Dreams. [Internet] [Doctoral dissertation]. Cornell University; 2011. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/1813/33472.

Council of Science Editors:

Snider M. Affine Patches On Positroid Varieties And Affine Pipe Dreams. [Doctoral Dissertation]. Cornell University; 2011. Available from: http://hdl.handle.net/1813/33472

Queen Mary, University of London

3. Mortimer, Paul. Lattice path enumeration on restricted domains.

Degree: PhD, 2016, Queen Mary, University of London

URL: http://qmro.qmul.ac.uk/xmlui/handle/123456789/12992 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.775258

► This thesis concerns the enumeration and structural properties of lattice paths. The study of Dyck paths and their characteristics is a classical combinatorial subject. In… (more)

Subjects/Keywords: Mathematics; Dyck paths; algebraic combinatorics

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APA (6^th Edition):

Mortimer, P. (2016). Lattice path enumeration on restricted domains. (Doctoral Dissertation). Queen Mary, University of London. Retrieved from http://qmro.qmul.ac.uk/xmlui/handle/123456789/12992 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.775258

Chicago Manual of Style (16^th Edition):

Mortimer, Paul. “Lattice path enumeration on restricted domains.” 2016. Doctoral Dissertation, Queen Mary, University of London. Accessed March 07, 2021. http://qmro.qmul.ac.uk/xmlui/handle/123456789/12992 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.775258.

MLA Handbook (7^th Edition):

Mortimer, Paul. “Lattice path enumeration on restricted domains.” 2016. Web. 07 Mar 2021.

Vancouver:

Mortimer P. Lattice path enumeration on restricted domains. [Internet] [Doctoral dissertation]. Queen Mary, University of London; 2016. [cited 2021 Mar 07]. Available from: http://qmro.qmul.ac.uk/xmlui/handle/123456789/12992 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.775258.

Council of Science Editors:

Mortimer P. Lattice path enumeration on restricted domains. [Doctoral Dissertation]. Queen Mary, University of London; 2016. Available from: http://qmro.qmul.ac.uk/xmlui/handle/123456789/12992 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.775258

National University of Ireland – Galway

4. Ó Catháin, Padraig. Automorphisms of Pairwise Combinatorial Designs .

Degree: 2012, National University of Ireland – Galway

URL: http://hdl.handle.net/10379/2711

► In this thesis, we investigate group actions on certain families of pairwise combinatorial designs, in particular Hadamard matrices and symmetric 2-(4t-1, 2t-1, t-1) designs. A… (more)

Subjects/Keywords: Mathematics; Combinatorics; Algebraic design theory

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APA (6^th Edition):

Ó Catháin, P. (2012). Automorphisms of Pairwise Combinatorial Designs . (Thesis). National University of Ireland – Galway. Retrieved from http://hdl.handle.net/10379/2711

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):

Ó Catháin, Padraig. “Automorphisms of Pairwise Combinatorial Designs .” 2012. Thesis, National University of Ireland – Galway. Accessed March 07, 2021. http://hdl.handle.net/10379/2711.

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

MLA Handbook (7^th Edition):

Ó Catháin, Padraig. “Automorphisms of Pairwise Combinatorial Designs .” 2012. Web. 07 Mar 2021.

Vancouver:

Ó Catháin P. Automorphisms of Pairwise Combinatorial Designs . [Internet] [Thesis]. National University of Ireland – Galway; 2012. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/10379/2711.

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

Council of Science Editors:

Ó Catháin P. Automorphisms of Pairwise Combinatorial Designs . [Thesis]. National University of Ireland – Galway; 2012. Available from: http://hdl.handle.net/10379/2711

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

5. Marcott, Cameron. Partition Algebras and Kronecker Coefficients.

Degree: 2015, University of Waterloo

URL: http://hdl.handle.net/10012/9618

► Classical Schur-Weyl duality relates the representation theory of the general linear group to the representation theory of the symmetric group via their commuting actions on… (more)

Subjects/Keywords: algebraic combinatorics; representation theory

1 more image…

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APA (6^th Edition):

Marcott, C. (2015). Partition Algebras and Kronecker Coefficients. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/9618

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):

Marcott, Cameron. “Partition Algebras and Kronecker Coefficients.” 2015. Thesis, University of Waterloo. Accessed March 07, 2021. http://hdl.handle.net/10012/9618.

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

MLA Handbook (7^th Edition):

Marcott, Cameron. “Partition Algebras and Kronecker Coefficients.” 2015. Web. 07 Mar 2021.

Vancouver:

Marcott C. Partition Algebras and Kronecker Coefficients. [Internet] [Thesis]. University of Waterloo; 2015. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/10012/9618.

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

Council of Science Editors:

Marcott C. Partition Algebras and Kronecker Coefficients. [Thesis]. University of Waterloo; 2015. Available from: http://hdl.handle.net/10012/9618

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

6. Schreiber, Amelie. Semi-invariants of Quivers and Saturation of Littlewood-Richardson Coefficients.

Degree: 2015, Wake Forest University

URL: http://hdl.handle.net/10339/57108

► Using Schofield semi-invariants, and showing a correspondence between weight spaces of semi-invariant rings for a special class of quivers, and the Littlewood-Richardson coefficients, we show… (more)

Subjects/Keywords: Algebraic Combinatorics

…concepts of algebraic geometry, to be applied in the study of rings of semi-invariants in §5, in… …of Dynkin quivers, using some methods from algebraic geometry, which allows us to describe… …without oriented cycles are discussed in Theorem 10.2.3. 12 Chapter 4: Algebraic Geometry… …define algebraic varieties. Thus techniques from algebraic geometry can be useful tools in… …studying the representation spaces of quivers. Here we introduce some basics of algebraic…

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APA (6^th Edition):

Schreiber, A. (2015). Semi-invariants of Quivers and Saturation of Littlewood-Richardson Coefficients. (Thesis). Wake Forest University. Retrieved from http://hdl.handle.net/10339/57108

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):

Schreiber, Amelie. “Semi-invariants of Quivers and Saturation of Littlewood-Richardson Coefficients.” 2015. Thesis, Wake Forest University. Accessed March 07, 2021. http://hdl.handle.net/10339/57108.

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

MLA Handbook (7^th Edition):

Schreiber, Amelie. “Semi-invariants of Quivers and Saturation of Littlewood-Richardson Coefficients.” 2015. Web. 07 Mar 2021.

Vancouver:

Schreiber A. Semi-invariants of Quivers and Saturation of Littlewood-Richardson Coefficients. [Internet] [Thesis]. Wake Forest University; 2015. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/10339/57108.

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

Council of Science Editors:

Schreiber A. Semi-invariants of Quivers and Saturation of Littlewood-Richardson Coefficients. [Thesis]. Wake Forest University; 2015. Available from: http://hdl.handle.net/10339/57108

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

7. Beam, Kristy. Investigating the Symmetry of the q,t-Catalan Polynomials Using New Statistics on Plane Binary Trees, Triangulations of Convex Polygons, and Paired Lattice Paths.

Degree: 2009, Wake Forest University

URL: http://hdl.handle.net/10339/14670

► There exist polynomials Cn(q,t) known as the q,t-Catalan polynomials. We know from work in representation theory by Haglund, Haiman, and Garsia that the q,t-Catalan polynomials… (more)

Subjects/Keywords: Algebraic Combinatorics

…which are described in Stanley’s Enumerative Combinatorics[6]. The remainder of our…

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APA (6^th Edition):

Beam, K. (2009). Investigating the Symmetry of the q,t-Catalan Polynomials Using New Statistics on Plane Binary Trees, Triangulations of Convex Polygons, and Paired Lattice Paths. (Thesis). Wake Forest University. Retrieved from http://hdl.handle.net/10339/14670

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):

Beam, Kristy. “Investigating the Symmetry of the q,t-Catalan Polynomials Using New Statistics on Plane Binary Trees, Triangulations of Convex Polygons, and Paired Lattice Paths.” 2009. Thesis, Wake Forest University. Accessed March 07, 2021. http://hdl.handle.net/10339/14670.

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

MLA Handbook (7^th Edition):

Beam, Kristy. “Investigating the Symmetry of the q,t-Catalan Polynomials Using New Statistics on Plane Binary Trees, Triangulations of Convex Polygons, and Paired Lattice Paths.” 2009. Web. 07 Mar 2021.

Vancouver:

Beam K. Investigating the Symmetry of the q,t-Catalan Polynomials Using New Statistics on Plane Binary Trees, Triangulations of Convex Polygons, and Paired Lattice Paths. [Internet] [Thesis]. Wake Forest University; 2009. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/10339/14670.

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

Council of Science Editors:

Beam K. Investigating the Symmetry of the q,t-Catalan Polynomials Using New Statistics on Plane Binary Trees, Triangulations of Convex Polygons, and Paired Lattice Paths. [Thesis]. Wake Forest University; 2009. Available from: http://hdl.handle.net/10339/14670

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

Colorado State University

8. Lindzey, Nathan. Towards a general theory of Erdős-Ko-Rado combinatorics.

Degree: MS(M.S.), Mathematics, 2014, Colorado State University

URL: http://hdl.handle.net/10217/83990

► In 1961, Erdős, Ko, and Rado proved that for a universe of size n ≥ 2k a family of k-subsets whose members pairwise intersect cannot… (more)

Subjects/Keywords: algebraic combinatorics; extremal combinatorics; Erdős-Ko-Rado theorems; association schemes; algebraic graph theory

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APA (6^th Edition):

Lindzey, N. (2014). Towards a general theory of Erdős-Ko-Rado combinatorics. (Masters Thesis). Colorado State University. Retrieved from http://hdl.handle.net/10217/83990

Chicago Manual of Style (16^th Edition):

Lindzey, Nathan. “Towards a general theory of Erdős-Ko-Rado combinatorics.” 2014. Masters Thesis, Colorado State University. Accessed March 07, 2021. http://hdl.handle.net/10217/83990.

MLA Handbook (7^th Edition):

Lindzey, Nathan. “Towards a general theory of Erdős-Ko-Rado combinatorics.” 2014. Web. 07 Mar 2021.

Vancouver:

Lindzey N. Towards a general theory of Erdős-Ko-Rado combinatorics. [Internet] [Masters thesis]. Colorado State University; 2014. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/10217/83990.

Council of Science Editors:

Lindzey N. Towards a general theory of Erdős-Ko-Rado combinatorics. [Masters Thesis]. Colorado State University; 2014. Available from: http://hdl.handle.net/10217/83990

University of Minnesota

9. Dilks, Kevin. Involutions on Baxter Objects and q-Gamma Nonnegativity.

Degree: PhD, Mathematics, 2015, University of Minnesota

URL: http://hdl.handle.net/11299/182835

► Baxter numbers are known to count several families of combinatorial objects, all of which come equipped with a natural involution. In this paper, we add… (more)

Subjects/Keywords: algebraic combinatorics; baxter permutations; combinatorics; gamma positivity; involutions

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APA (6^th Edition):

Dilks, K. (2015). Involutions on Baxter Objects and q-Gamma Nonnegativity. (Doctoral Dissertation). University of Minnesota. Retrieved from http://hdl.handle.net/11299/182835

Chicago Manual of Style (16^th Edition):

Dilks, Kevin. “Involutions on Baxter Objects and q-Gamma Nonnegativity.” 2015. Doctoral Dissertation, University of Minnesota. Accessed March 07, 2021. http://hdl.handle.net/11299/182835.

MLA Handbook (7^th Edition):

Dilks, Kevin. “Involutions on Baxter Objects and q-Gamma Nonnegativity.” 2015. Web. 07 Mar 2021.

Vancouver:

Dilks K. Involutions on Baxter Objects and q-Gamma Nonnegativity. [Internet] [Doctoral dissertation]. University of Minnesota; 2015. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/11299/182835.

Council of Science Editors:

Dilks K. Involutions on Baxter Objects and q-Gamma Nonnegativity. [Doctoral Dissertation]. University of Minnesota; 2015. Available from: http://hdl.handle.net/11299/182835

Lehigh University

10. Clearman, Samuel. Combinatorial aspects of Hecke algebra characters.

Degree: PhD, Mathematics, 2016, Lehigh University

URL: https://preserve.lehigh.edu/etd/2556

► Iwahori-Hecke algebras are deformations of Coxeter group algebras. Their origins lie in the theory of automorphic forms but they arise in the representation theory of… (more)

Subjects/Keywords: Algebra; Algebraic combinatorics; Combinatorics; Representation theory; Mathematics; Physical Sciences and Mathematics

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APA (6^th Edition):

Clearman, S. (2016). Combinatorial aspects of Hecke algebra characters. (Doctoral Dissertation). Lehigh University. Retrieved from https://preserve.lehigh.edu/etd/2556

Chicago Manual of Style (16^th Edition):

Clearman, Samuel. “Combinatorial aspects of Hecke algebra characters.” 2016. Doctoral Dissertation, Lehigh University. Accessed March 07, 2021. https://preserve.lehigh.edu/etd/2556.

MLA Handbook (7^th Edition):

Clearman, Samuel. “Combinatorial aspects of Hecke algebra characters.” 2016. Web. 07 Mar 2021.

Vancouver:

Clearman S. Combinatorial aspects of Hecke algebra characters. [Internet] [Doctoral dissertation]. Lehigh University; 2016. [cited 2021 Mar 07]. Available from: https://preserve.lehigh.edu/etd/2556.

Council of Science Editors:

Clearman S. Combinatorial aspects of Hecke algebra characters. [Doctoral Dissertation]. Lehigh University; 2016. Available from: https://preserve.lehigh.edu/etd/2556

University of California – Berkeley

11. Rosen, Zvi. Algebraic Matroids in Applications.

Degree: Mathematics, 2015, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/1tq3k5bz

► Algebraic matroids are combinatorial objects defined by the set of coordinates of an algebraic variety. These objects are of interest whenever coordinates hold significance: for… (more)

Subjects/Keywords: Mathematics; Statistics; Algebraic Matroids; Algebraic Statistics; Applied Algebraic Geometry; Chemical Reaction Networks; Combinatorics; Symbolic Computation

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APA (6^th Edition):

Rosen, Z. (2015). Algebraic Matroids in Applications. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/1tq3k5bz

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):

Rosen, Zvi. “Algebraic Matroids in Applications.” 2015. Thesis, University of California – Berkeley. Accessed March 07, 2021. http://www.escholarship.org/uc/item/1tq3k5bz.

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

MLA Handbook (7^th Edition):

Rosen, Zvi. “Algebraic Matroids in Applications.” 2015. Web. 07 Mar 2021.

Vancouver:

Rosen Z. Algebraic Matroids in Applications. [Internet] [Thesis]. University of California – Berkeley; 2015. [cited 2021 Mar 07]. Available from: http://www.escholarship.org/uc/item/1tq3k5bz.

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

Council of Science Editors:

Rosen Z. Algebraic Matroids in Applications. [Thesis]. University of California – Berkeley; 2015. Available from: http://www.escholarship.org/uc/item/1tq3k5bz

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

University of California – Berkeley

12. Boocher, Adam Lee. Superflatness.

Degree: Mathematics, 2013, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/9xj6b7r2

► One way to obtain geometric information about a homogeneous ideal is to pass to a monomial ideal via a flat degeneration. Flatness is strong enough… (more)

▼ One way to obtain geometric information about a homogeneous ideal is to pass to a monomial ideal via a flat degeneration. Flatness is strong enough to ensure this degeneration preserves the Hilbert function, which allows us to make geometric statements about the original ideal. Although it is by no means trivial, full analysis of monomial ideals is aided by a wealth of interactions with combinatorics, topology, and commutative algebra. However, since flatness only goes so far, finer invariants than the Hilbert function cannot typically be detected via this technique.One finer invariant is the minimal free resolution. Originally introduced by Hilbert, free resolutions encode algebraic relations among the generators of an ideal. Numerically, the data of a free resolution are the graded Betti numbers which detect surprising geometric information. In recent years there has been much study devoted to the relationship between the modules occurring in a free resolution (collectively called syzygies) and geometric invariants.Flatness is not strong enough to guarantee that the free resolution will be preserved upon degeneration. In fact, in some sense, the expected behavior is that the resolution will become more poorly behaved. This dissertation studies situations in which flat degenerations preserve more than they ought, and how these superflat degenerations allow us to better understand the resolution of our original ideal. It contains a brief introduction followed by three self-contained chapters. In Chapter 2 we study ideals associated to sparse-generic matrices, those whose entries are distinct variables and zeros. Such matrices were studied by Giusti and Merle who computed some invariants of their ideals of maximal minors. Here we extend these results by computing a minimal free resolution for all such sparse determinantal ideals. We do so by introducing a technique for pruning minimal free resolutions when a subset of the variables is set to zero. Our technique correctly computes a minimal free resolution in two cases of interest: resolutions of monomial ideals, and ideals resolved by the Eagon-Northcott Complex. As a consequence we can show that sparse determinantal ideals have a linear resolution over the integers and that the projective dimension depends only on the number of columns of the matrix that are identically zero. Finally, we show that all such ideals have the property that regardless of the term order chosen, the Betti numbers of the ideal and its initial ideal are the same. In particular the nonzero generators of these ideals form a universal Groebner basis.Chapter 3 presents joint work with Elina Robeva and initiates a systematic study of ideals minimally generated by a universal Groebner basis. We call such an ideal robust. We show that robust toric ideals generated by quadrics are essentially determinantal. We then discuss two possible generalizations to higher degree, providing a tight classification for determinantal ideals, and a counterexample to a natural extension for…

Subjects/Keywords: Mathematics; Algebraic Geometry; Combinatorics; Commutative Algebra; Free Resolutions

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APA (6^th Edition):

Boocher, A. L. (2013). Superflatness. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/9xj6b7r2

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):

Boocher, Adam Lee. “Superflatness.” 2013. Thesis, University of California – Berkeley. Accessed March 07, 2021. http://www.escholarship.org/uc/item/9xj6b7r2.

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

MLA Handbook (7^th Edition):

Boocher, Adam Lee. “Superflatness.” 2013. Web. 07 Mar 2021.

Vancouver:

Boocher AL. Superflatness. [Internet] [Thesis]. University of California – Berkeley; 2013. [cited 2021 Mar 07]. Available from: http://www.escholarship.org/uc/item/9xj6b7r2.

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

Council of Science Editors:

Boocher AL. Superflatness. [Thesis]. University of California – Berkeley; 2013. Available from: http://www.escholarship.org/uc/item/9xj6b7r2

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

University of Michigan

13. Coker, Curtis Charles. Two problems in algebraic combinatorics.

Degree: PhD, Pure Sciences, 1989, University of Michigan

URL: http://hdl.handle.net/2027.42/128358

► In this paper we look at two (unrelated) problems. In the first problem we study a class of symmetric matrices T indexed by positive integers… (more)

Subjects/Keywords: Algebraic; Combinatorics; Problems; Two

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APA (6^th Edition):

Coker, C. C. (1989). Two problems in algebraic combinatorics. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/128358

Chicago Manual of Style (16^th Edition):

Coker, Curtis Charles. “Two problems in algebraic combinatorics.” 1989. Doctoral Dissertation, University of Michigan. Accessed March 07, 2021. http://hdl.handle.net/2027.42/128358.

MLA Handbook (7^th Edition):

Coker, Curtis Charles. “Two problems in algebraic combinatorics.” 1989. Web. 07 Mar 2021.

Vancouver:

Coker CC. Two problems in algebraic combinatorics. [Internet] [Doctoral dissertation]. University of Michigan; 1989. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/2027.42/128358.

Council of Science Editors:

Coker CC. Two problems in algebraic combinatorics. [Doctoral Dissertation]. University of Michigan; 1989. Available from: http://hdl.handle.net/2027.42/128358

University of Waterloo

14. Dugan, William. Sequences of Trees and Higher-Order Renormalization Group Equations.

Degree: 2019, University of Waterloo

URL: http://hdl.handle.net/10012/14957

► In 1998, Connes and Kreimer introduced a combinatorial Hopf algebra HCK on the vector space of forests of rooted trees that precisely explains the phenomenon… (more)

Subjects/Keywords: mathematics; algebraic combinatorics; Hopf algebras; quantum field theory; prelie algebras

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APA (6^th Edition):

Dugan, W. (2019). Sequences of Trees and Higher-Order Renormalization Group Equations. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/14957

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):

Dugan, William. “Sequences of Trees and Higher-Order Renormalization Group Equations.” 2019. Thesis, University of Waterloo. Accessed March 07, 2021. http://hdl.handle.net/10012/14957.

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

MLA Handbook (7^th Edition):

Dugan, William. “Sequences of Trees and Higher-Order Renormalization Group Equations.” 2019. Web. 07 Mar 2021.

Vancouver:

Dugan W. Sequences of Trees and Higher-Order Renormalization Group Equations. [Internet] [Thesis]. University of Waterloo; 2019. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/10012/14957.

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

Council of Science Editors:

Dugan W. Sequences of Trees and Higher-Order Renormalization Group Equations. [Thesis]. University of Waterloo; 2019. Available from: http://hdl.handle.net/10012/14957

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

Brigham Young University

15. Wagner, David R. Schur Rings Over Projective Special Linear Groups.

Degree: MS, 2016, Brigham Young University

URL: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=7088&context=etd

► This thesis presents an introduction to Schur rings (S-rings) and their various properties. Special attention is given to S-rings that are commutative. A number of… (more)

Subjects/Keywords: Schur rings; association schemes; algebraic combinatorics; projective special linear groups; Mathematics

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APA (6^th Edition):

Wagner, D. R. (2016). Schur Rings Over Projective Special Linear Groups. (Masters Thesis). Brigham Young University. Retrieved from https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=7088&context=etd

Chicago Manual of Style (16^th Edition):

Wagner, David R. “Schur Rings Over Projective Special Linear Groups.” 2016. Masters Thesis, Brigham Young University. Accessed March 07, 2021. https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=7088&context=etd.

MLA Handbook (7^th Edition):

Wagner, David R. “Schur Rings Over Projective Special Linear Groups.” 2016. Web. 07 Mar 2021.

Vancouver:

Wagner DR. Schur Rings Over Projective Special Linear Groups. [Internet] [Masters thesis]. Brigham Young University; 2016. [cited 2021 Mar 07]. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=7088&context=etd.

Council of Science Editors:

Wagner DR. Schur Rings Over Projective Special Linear Groups. [Masters Thesis]. Brigham Young University; 2016. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=7088&context=etd

Boston University

16. Fischer, Benjamin Parker. Perturbed polyhedra and the construction of local Euler-Maclaurin formulas.

Degree: PhD, Mathematics & Statistics, 2016, Boston University

URL: http://hdl.handle.net/2144/17733

► A polyhedron P is a subset of a rational vector space V bounded by hyperplanes. If we fix a lattice in V , then we… (more)

Subjects/Keywords: Mathematics; Combinatorics; Euler-Maclaurin; Polyhedra; Algebraic geometry; Toric varieties

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APA (6^th Edition):

Fischer, B. P. (2016). Perturbed polyhedra and the construction of local Euler-Maclaurin formulas. (Doctoral Dissertation). Boston University. Retrieved from http://hdl.handle.net/2144/17733

Chicago Manual of Style (16^th Edition):

Fischer, Benjamin Parker. “Perturbed polyhedra and the construction of local Euler-Maclaurin formulas.” 2016. Doctoral Dissertation, Boston University. Accessed March 07, 2021. http://hdl.handle.net/2144/17733.

MLA Handbook (7^th Edition):

Fischer, Benjamin Parker. “Perturbed polyhedra and the construction of local Euler-Maclaurin formulas.” 2016. Web. 07 Mar 2021.

Vancouver:

Fischer BP. Perturbed polyhedra and the construction of local Euler-Maclaurin formulas. [Internet] [Doctoral dissertation]. Boston University; 2016. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/2144/17733.

Council of Science Editors:

Fischer BP. Perturbed polyhedra and the construction of local Euler-Maclaurin formulas. [Doctoral Dissertation]. Boston University; 2016. Available from: http://hdl.handle.net/2144/17733

University of Waterloo

17. Sloss, Craig. Enumeration of Factorizations in the Symmetric Group: From Centrality to Non-centrality.

Degree: 2011, University of Waterloo

URL: http://hdl.handle.net/10012/5859

► The character theory of the symmetric group is a powerful method of studying enu- merative questions about factorizations of permutations, which arise in areas including… (more)

▼ The character theory of the symmetric group is a powerful method of studying enu- merative questions about factorizations of permutations, which arise in areas including topology, geometry, and mathematical physics. This method relies on having an encoding of the enumerative problem in the centre Z(n) of the algebra C[S_n] spanned by the symmetric group S_n. This thesis develops methods to deal with permutation factorization problems which cannot be encoded in Z(n). The (p,q,n)-dipole problem, which arises in the study of connections between string theory and Yang-Mills theory, is the chief problem motivating this research. This thesis introduces a refinement of the (p,q,n)-dipole problem, namely, the (a,b,c,d)- dipole problem. A Join-Cut analysis of the (a,b,c,d)-dipole problem leads to two partial differential equations which determine the generating series for the problem. The first equation determines the series for (a,b,0,0)-dipoles, which is the initial condition for the second equation, which gives the series for (a,b,c,d)-dipoles. An analysis of these equa- tions leads to a process, recursive in genus, for solving the (a,b,c,d)-dipole problem for a surface of genus g. These solutions are expressed in terms of a natural family of functions which are well-understood as sums indexed by compositions of a binary string. The combinatorial analysis of the (a,b,0,0)-dipole problem reveals an unexpected fact about a special case of the (p,q,n)-dipole problem. When q=n−1, the problem may be encoded in the centralizer Z₁(n) of C[S_n] with respect to the subgroup S_n−1. The algebra Z₁(n) has many combinatorially important similarities to Z(n) which may be used to find an explicit expression for the genus polynomials for the (p,n−1,n)-dipole problem for all values of p and n, giving a solution to this case for all orientable surfaces. Moreover, the algebraic techniques developed to solve this problem provide an alge- braic approach to solving a class of non-central problems which includes problems such as the non-transitive star factorization problem and the problem of enumerating Z_1- decompositions of a full cycle, and raise intriguing questions about the combinatorial significance of centralizers with respect to subgroups other than S_n−1.

Subjects/Keywords: algebraic combinatorics; enumeration; centralizer; character theory; dipoles; symmetric group

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

APA (6^th Edition):

Sloss, C. (2011). Enumeration of Factorizations in the Symmetric Group: From Centrality to Non-centrality. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/5859

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):

Sloss, Craig. “Enumeration of Factorizations in the Symmetric Group: From Centrality to Non-centrality.” 2011. Thesis, University of Waterloo. Accessed March 07, 2021. http://hdl.handle.net/10012/5859.

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

MLA Handbook (7^th Edition):

Sloss, Craig. “Enumeration of Factorizations in the Symmetric Group: From Centrality to Non-centrality.” 2011. Web. 07 Mar 2021.

Vancouver:

Sloss C. Enumeration of Factorizations in the Symmetric Group: From Centrality to Non-centrality. [Internet] [Thesis]. University of Waterloo; 2011. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/10012/5859.

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

Council of Science Editors:

Sloss C. Enumeration of Factorizations in the Symmetric Group: From Centrality to Non-centrality. [Thesis]. University of Waterloo; 2011. Available from: http://hdl.handle.net/10012/5859

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

University of Waterloo

18. Mahmoud, Ali. On Enumerative Structures in Quantum Field Theory.

Degree: 2020, University of Waterloo

URL: http://hdl.handle.net/10012/16057

► This thesis addresses a number of enumerative problems that arise in the context of quantum field theory and in the process of renormalization. In particular,… (more)

▼ This thesis addresses a number of enumerative problems that arise in the context of quantum field theory and in the process of renormalization. In particular, the enumeration of rooted connected chord diagrams is further studied and new applications in quenched QED and Yukawa theories are introduced. Chord diagrams appear in quantum field theory in the context of Dyson-Schwinger equations, where, according to recent results, they are used to express the solutions. In another direction, we study the action of point field diffeomorphisms on a free theory. We give a new proof of a vanishing phenomenon for tree-level amplitudes of the transformed theories. A functional equation for 2-connected chord diagrams is discovered, then is used to calculate the full asymptotic expansion of the number of 2-connected chord diagrams by means of alien derivatives applied to factorially divergent power series. The calculation extends the older result by D. J. Kleitman on counting irreducible diagrams. Namely, Kleitman's result calculates the first coefficient of the infinite asymptotic expansion derived here and is therefore an approximation of the result presented. In calculating the asymptotics this way we are following the approach M. Borinsky used for solving the asymptotic counting problem of general connected chord diagrams. The numbers of 2-connected chord diagrams and the sequence of coefficients of their asymptotic expansion amazingly also appeared, without being recognized, in more physical situations in the work of Broadhurst on 4-loop Dyson-Schwinger-Johnson anatomy, and among the renormalized quantities of quenched QED calculated by M. Borinsky. The underlying chord-diagrammatic structure of quenched QED and Yukawa theory is unveiled here. Realizing this combinatorial structure makes the asymptotic analysis of the Green functions of these theories easier, and no longer requires singularity analysis. As a subsidiary outcome, a combinatorial interpretation of sequence \href{https://oeis.org/A088221}{A088221} in terms of chord diagrams is obtained from analysing some of the expressions in the asymptotic expansion of connected chord diagrams in the work of M. Borinsky. Lastly, a problem from another context is considered. The problem was to reprove the cancellation of interaction terms produced by applying a point field diffeomorphism to a free field theory. The original proof by D. Kreimer and K. Yeats was intricate in a way that did not provide much insight, and, therefore, a proof on the level of generating functions was desired. This is what we do here. We show that the series of the tree-level amplitudes is exactly the compositional inverse of the diffeomorphism applied to the free theory. The relation to the combinatorial Legendre transform defined by D. Jackson, A. Kempf and A. Morales is outlined although still not settled. Simple combinatorial proofs are also given for some Bell polynomial identities.

Subjects/Keywords: enumerative combinatorics; algebraic combinatorics; quantum field theory; chord diagrams; Yukawa theory; quenched QED; Hopf algebras; renormalization; Feynman graphs

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APA (6^th Edition):

Mahmoud, A. (2020). On Enumerative Structures in Quantum Field Theory. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/16057

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):

Mahmoud, Ali. “On Enumerative Structures in Quantum Field Theory.” 2020. Thesis, University of Waterloo. Accessed March 07, 2021. http://hdl.handle.net/10012/16057.

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

MLA Handbook (7^th Edition):

Mahmoud, Ali. “On Enumerative Structures in Quantum Field Theory.” 2020. Web. 07 Mar 2021.

Vancouver:

Mahmoud A. On Enumerative Structures in Quantum Field Theory. [Internet] [Thesis]. University of Waterloo; 2020. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/10012/16057.

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

Council of Science Editors:

Mahmoud A. On Enumerative Structures in Quantum Field Theory. [Thesis]. University of Waterloo; 2020. Available from: http://hdl.handle.net/10012/16057

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

University of Kentucky

19. Trok, William. Geometry of Linear Subspace Arrangements with Connections to Matroid Theory.

Degree: 2020, University of Kentucky

URL: https://uknowledge.uky.edu/math_etds/75

► This dissertation is devoted to the study of the geometric properties of subspace configurations, with an emphasis on configurations of points. One distinguishing feature is… (more)

Subjects/Keywords: Mathematics; Algebraic Geometry; Commutative Algebra; Subspace Configurations; Fat Points; Algebra; Algebraic Geometry; Discrete Mathematics and Combinatorics

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APA (6^th Edition):

Trok, W. (2020). Geometry of Linear Subspace Arrangements with Connections to Matroid Theory. (Doctoral Dissertation). University of Kentucky. Retrieved from https://uknowledge.uky.edu/math_etds/75

Chicago Manual of Style (16^th Edition):

Trok, William. “Geometry of Linear Subspace Arrangements with Connections to Matroid Theory.” 2020. Doctoral Dissertation, University of Kentucky. Accessed March 07, 2021. https://uknowledge.uky.edu/math_etds/75.

MLA Handbook (7^th Edition):

Trok, William. “Geometry of Linear Subspace Arrangements with Connections to Matroid Theory.” 2020. Web. 07 Mar 2021.

Vancouver:

Trok W. Geometry of Linear Subspace Arrangements with Connections to Matroid Theory. [Internet] [Doctoral dissertation]. University of Kentucky; 2020. [cited 2021 Mar 07]. Available from: https://uknowledge.uky.edu/math_etds/75.

Council of Science Editors:

Trok W. Geometry of Linear Subspace Arrangements with Connections to Matroid Theory. [Doctoral Dissertation]. University of Kentucky; 2020. Available from: https://uknowledge.uky.edu/math_etds/75

University of Michigan

20. Hering, Milena S. Syzygies of toric varieties.

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

URL: http://hdl.handle.net/2027.42/125661

► Studying the equations defining the embedding of a projective variety and the higher relations (syzygies) between them is a classical problem in algebraic geometry. We… (more)

Subjects/Keywords: Algebraic Geometry; Combinatorics; Syzygies; Toric Varieties

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APA (6^th Edition):

Hering, M. S. (2006). Syzygies of toric varieties. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/125661

Chicago Manual of Style (16^th Edition):

Hering, Milena S. “Syzygies of toric varieties.” 2006. Doctoral Dissertation, University of Michigan. Accessed March 07, 2021. http://hdl.handle.net/2027.42/125661.

MLA Handbook (7^th Edition):

Hering, Milena S. “Syzygies of toric varieties.” 2006. Web. 07 Mar 2021.

Vancouver:

Hering MS. Syzygies of toric varieties. [Internet] [Doctoral dissertation]. University of Michigan; 2006. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/2027.42/125661.

Council of Science Editors:

Hering MS. Syzygies of toric varieties. [Doctoral Dissertation]. University of Michigan; 2006. Available from: http://hdl.handle.net/2027.42/125661

21. Ford, Nicolas. Geometric Shifts and Positroid Varieties.

Degree: PhD, Mathematics, 2014, University of Michigan

URL: http://hdl.handle.net/2027.42/107312

► Matroid varieties are the closures in the Grassmannian of sets of points defined by specifying which Plucker coordinates vanish and which don't – the set… (more)

Subjects/Keywords: Combinatorics; Algebraic Geometry; Mathematics; Science

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APA (6^th Edition):

Ford, N. (2014). Geometric Shifts and Positroid Varieties. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/107312

Chicago Manual of Style (16^th Edition):

Ford, Nicolas. “Geometric Shifts and Positroid Varieties.” 2014. Doctoral Dissertation, University of Michigan. Accessed March 07, 2021. http://hdl.handle.net/2027.42/107312.

MLA Handbook (7^th Edition):

Ford, Nicolas. “Geometric Shifts and Positroid Varieties.” 2014. Web. 07 Mar 2021.

Vancouver:

Ford N. Geometric Shifts and Positroid Varieties. [Internet] [Doctoral dissertation]. University of Michigan; 2014. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/2027.42/107312.

Council of Science Editors:

Ford N. Geometric Shifts and Positroid Varieties. [Doctoral Dissertation]. University of Michigan; 2014. Available from: http://hdl.handle.net/2027.42/107312

Texas A&M University

22. Moreira Rodriguez, Rivera Walter. Products of representations of the symmetric group and non-commutative versions.

Degree: PhD, Mathematics, 2008, Texas A&M University

URL: http://hdl.handle.net/1969.1/85938

► We construct a new operation among representations of the symmetric group that interpolates between the classical internal and external products, which are defined in terms… (more)

Subjects/Keywords: hopf algebras; algebraic combinatorics; representation theory

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APA (6^th Edition):

Moreira Rodriguez, R. W. (2008). Products of representations of the symmetric group and non-commutative versions. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/85938

Chicago Manual of Style (16^th Edition):

Moreira Rodriguez, Rivera Walter. “Products of representations of the symmetric group and non-commutative versions.” 2008. Doctoral Dissertation, Texas A&M University. Accessed March 07, 2021. http://hdl.handle.net/1969.1/85938.

MLA Handbook (7^th Edition):

Moreira Rodriguez, Rivera Walter. “Products of representations of the symmetric group and non-commutative versions.” 2008. Web. 07 Mar 2021.

Vancouver:

Moreira Rodriguez RW. Products of representations of the symmetric group and non-commutative versions. [Internet] [Doctoral dissertation]. Texas A&M University; 2008. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/1969.1/85938.

Council of Science Editors:

Moreira Rodriguez RW. Products of representations of the symmetric group and non-commutative versions. [Doctoral Dissertation]. Texas A&M University; 2008. Available from: http://hdl.handle.net/1969.1/85938

University of Colorado

23. Gern, Tyson Charles. Leading Coefficients of Kazhdan–Lusztig Polynomials in Type D.

Degree: PhD, Mathematics, 2013, University of Colorado

URL: https://scholar.colorado.edu/math_gradetds/26

► Kazhdan–Lusztig polynomials arise in the context of Hecke algebras associated to Coxeter groups. The computation of these polynomials is very difficult for examples of… (more)

Subjects/Keywords: Algebraic Combinatorics; Coxeter Groups; Domino Tableaux; Kazhdan-Lusztig Cells; Kazhdan-Lusztig Polynomials; Mathematics

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APA (6^th Edition):

Gern, T. C. (2013). Leading Coefficients of Kazhdan–Lusztig Polynomials in Type D. (Doctoral Dissertation). University of Colorado. Retrieved from https://scholar.colorado.edu/math_gradetds/26

Chicago Manual of Style (16^th Edition):

Gern, Tyson Charles. “Leading Coefficients of Kazhdan–Lusztig Polynomials in Type D.” 2013. Doctoral Dissertation, University of Colorado. Accessed March 07, 2021. https://scholar.colorado.edu/math_gradetds/26.

MLA Handbook (7^th Edition):

Gern, Tyson Charles. “Leading Coefficients of Kazhdan–Lusztig Polynomials in Type D.” 2013. Web. 07 Mar 2021.

Vancouver:

Gern TC. Leading Coefficients of Kazhdan–Lusztig Polynomials in Type D. [Internet] [Doctoral dissertation]. University of Colorado; 2013. [cited 2021 Mar 07]. Available from: https://scholar.colorado.edu/math_gradetds/26.

Council of Science Editors:

Gern TC. Leading Coefficients of Kazhdan–Lusztig Polynomials in Type D. [Doctoral Dissertation]. University of Colorado; 2013. Available from: https://scholar.colorado.edu/math_gradetds/26

University of Waterloo

24. Mirjalalieh Shirazi, Mirhamed. Equiangular Lines and Antipodal Covers.

Degree: 2010, University of Waterloo

URL: http://hdl.handle.net/10012/5493

► It is not hard to see that the number of equiangular lines in a complex space of dimension d is at most d². A set… (more)

Subjects/Keywords: Algebraic Combinatorics; Quantum Computing; Graph Theory

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APA (6^th Edition):

Mirjalalieh Shirazi, M. (2010). Equiangular Lines and Antipodal Covers. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/5493

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):

Mirjalalieh Shirazi, Mirhamed. “Equiangular Lines and Antipodal Covers.” 2010. Thesis, University of Waterloo. Accessed March 07, 2021. http://hdl.handle.net/10012/5493.

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

MLA Handbook (7^th Edition):

Mirjalalieh Shirazi, Mirhamed. “Equiangular Lines and Antipodal Covers.” 2010. Web. 07 Mar 2021.

Vancouver:

Mirjalalieh Shirazi M. Equiangular Lines and Antipodal Covers. [Internet] [Thesis]. University of Waterloo; 2010. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/10012/5493.

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

Council of Science Editors:

Mirjalalieh Shirazi M. Equiangular Lines and Antipodal Covers. [Thesis]. University of Waterloo; 2010. Available from: http://hdl.handle.net/10012/5493

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

25. RODRIGUEZ REY, ANDRES. Combinatorial Hopf Algebras and Dual graded graphs .

Degree: 2016, Universidad de los Andes

URL: https://documentodegrado.uniandes.edu.co/documentos/8182.pdf

► Siendo la generalización de la noción de grupo, las álgegras de Hopf son una estructura algebraica de gran importancia que aparece en varias áreas de… (more)

Subjects/Keywords: Combinatoria; Álgebras de Hopf; Combinatorics; Hopf Algebras; Dual graded graphs; Algebraic Combinatorics.

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APA (6^th Edition):

RODRIGUEZ REY, A. (2016). Combinatorial Hopf Algebras and Dual graded graphs . (Thesis). Universidad de los Andes. Retrieved from https://documentodegrado.uniandes.edu.co/documentos/8182.pdf

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):

RODRIGUEZ REY, ANDRES. “Combinatorial Hopf Algebras and Dual graded graphs .” 2016. Thesis, Universidad de los Andes. Accessed March 07, 2021. https://documentodegrado.uniandes.edu.co/documentos/8182.pdf.

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

MLA Handbook (7^th Edition):

RODRIGUEZ REY, ANDRES. “Combinatorial Hopf Algebras and Dual graded graphs .” 2016. Web. 07 Mar 2021.

Vancouver:

RODRIGUEZ REY A. Combinatorial Hopf Algebras and Dual graded graphs . [Internet] [Thesis]. Universidad de los Andes; 2016. [cited 2021 Mar 07]. Available from: https://documentodegrado.uniandes.edu.co/documentos/8182.pdf.

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

Council of Science Editors:

RODRIGUEZ REY A. Combinatorial Hopf Algebras and Dual graded graphs . [Thesis]. Universidad de los Andes; 2016. Available from: https://documentodegrado.uniandes.edu.co/documentos/8182.pdf

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

26. Goeckner, Bennet. Decompositions of Simplicial Complexes.

Degree: PhD, Mathematics, 2018, University of Kansas

URL: http://hdl.handle.net/1808/27998

► In this thesis we study the interplay between various combinatorial, algebraic, and topological properties of simplicial complexes. We focus on when these properties imply the… (more)

Subjects/Keywords: Mathematics; Acyclicity; Algebraic combinatorics; Cohen-Macaulay; Combinatorics; Partitionability; Simplicial complexes

…general. In combinatorics, simplicial complexes occupy a central place in the literature—arising… …the interplay between topological, algebraic, and combinatorial aspects of simplicial… …FMS14]. 1 We will be particularly interested in how various combinatorial, algebraic… …simplicial complexes, such as Hochster’s Theorem, algebraic shifting, and iterated homology… …An important algebraic object associated with a simplicial complex is its Stanley-Reisner…

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APA (6^th Edition):

Goeckner, B. (2018). Decompositions of Simplicial Complexes. (Doctoral Dissertation). University of Kansas. Retrieved from http://hdl.handle.net/1808/27998

Chicago Manual of Style (16^th Edition):

Goeckner, Bennet. “Decompositions of Simplicial Complexes.” 2018. Doctoral Dissertation, University of Kansas. Accessed March 07, 2021. http://hdl.handle.net/1808/27998.

MLA Handbook (7^th Edition):

Goeckner, Bennet. “Decompositions of Simplicial Complexes.” 2018. Web. 07 Mar 2021.

Vancouver:

Goeckner B. Decompositions of Simplicial Complexes. [Internet] [Doctoral dissertation]. University of Kansas; 2018. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/1808/27998.

Council of Science Editors:

Goeckner B. Decompositions of Simplicial Complexes. [Doctoral Dissertation]. University of Kansas; 2018. Available from: http://hdl.handle.net/1808/27998

University of Michigan

27. Yong, Alexander T. F. On combinatorics of degeneracy loci and H*(G/B).

Degree: PhD, Pure Sciences, 2003, University of Michigan

URL: http://hdl.handle.net/2027.42/123756

► This thesis applies combinatorics to obtain formulas for cohomology classes related to the Schubert calculus, an area of enumerative algebraic geometry. We consider two viewpoints:… (more)

Subjects/Keywords: Algebraic Geometry; Combinatorics; Degeneracy Loci; Schubert Calculus

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APA (6^th Edition):

Yong, A. T. F. (2003). On combinatorics of degeneracy loci and H*(G/B). (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/123756

Chicago Manual of Style (16^th Edition):

Yong, Alexander T F. “On combinatorics of degeneracy loci and H*(G/B).” 2003. Doctoral Dissertation, University of Michigan. Accessed March 07, 2021. http://hdl.handle.net/2027.42/123756.

MLA Handbook (7^th Edition):

Yong, Alexander T F. “On combinatorics of degeneracy loci and H*(G/B).” 2003. Web. 07 Mar 2021.

Vancouver:

Yong ATF. On combinatorics of degeneracy loci and H*(G/B). [Internet] [Doctoral dissertation]. University of Michigan; 2003. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/2027.42/123756.

Council of Science Editors:

Yong ATF. On combinatorics of degeneracy loci and H*(G/B). [Doctoral Dissertation]. University of Michigan; 2003. Available from: http://hdl.handle.net/2027.42/123756

28. Teff, Nicholas James. The Hessenberg Representation.

Degree: PhD, Mathematics, 2013, University of Iowa

URL: https://ir.uiowa.edu/etd/4919

► The Hessenberg representation is a representation of the symmetric group afforded on the cohomology ring of a regular semisimple Hessenberg variety. We study this… (more)

Subjects/Keywords: Algebra; Algebraic Geometry; Combinatorics; Representation Theory; Mathematics

…particular smooth projective variety, so gives a way to relate geometric information to algebraic… …subrepresentations have interesting combinatorial structures in their own right, and also relate algebraic… …algebraic and combinatorial constructions. 1.1.2 The Coxeter complex The Coxeter complex of Sn is… …representation theory has numerous applications to the combinatorics of integer partitions and tableaux… …defines u ≤ w in the Bruhat order which has many connections to combinatorics and representation…

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

APA (6^th Edition):

Teff, N. J. (2013). The Hessenberg Representation. (Doctoral Dissertation). University of Iowa. Retrieved from https://ir.uiowa.edu/etd/4919

Chicago Manual of Style (16^th Edition):

Teff, Nicholas James. “The Hessenberg Representation.” 2013. Doctoral Dissertation, University of Iowa. Accessed March 07, 2021. https://ir.uiowa.edu/etd/4919.

MLA Handbook (7^th Edition):

Teff, Nicholas James. “The Hessenberg Representation.” 2013. Web. 07 Mar 2021.

Vancouver:

Teff NJ. The Hessenberg Representation. [Internet] [Doctoral dissertation]. University of Iowa; 2013. [cited 2021 Mar 07]. Available from: https://ir.uiowa.edu/etd/4919.

Council of Science Editors:

Teff NJ. The Hessenberg Representation. [Doctoral Dissertation]. University of Iowa; 2013. Available from: https://ir.uiowa.edu/etd/4919

University of Maryland

29. Clifford, Edward Grant. Combinatorics of K-Theoretic Jeu de Taquin.

Degree: Mathematics, 2010, University of Maryland

URL: http://hdl.handle.net/1903/10792

► Thomas and Yong [5] introduced a theory of jeu de taquin which extended Schutzenberger's [4] for Young tableaux. The extended theory computes structure constants for… (more)

Subjects/Keywords: Mathematics; algebraic geometry; combinatorics; jeu de taquin; tableaux

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

APA (6^th Edition):

Clifford, E. G. (2010). Combinatorics of K-Theoretic Jeu de Taquin. (Thesis). University of Maryland. Retrieved from http://hdl.handle.net/1903/10792

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):

Clifford, Edward Grant. “Combinatorics of K-Theoretic Jeu de Taquin.” 2010. Thesis, University of Maryland. Accessed March 07, 2021. http://hdl.handle.net/1903/10792.

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

MLA Handbook (7^th Edition):

Clifford, Edward Grant. “Combinatorics of K-Theoretic Jeu de Taquin.” 2010. Web. 07 Mar 2021.

Vancouver:

Clifford EG. Combinatorics of K-Theoretic Jeu de Taquin. [Internet] [Thesis]. University of Maryland; 2010. [cited 2021 Mar 07]. Available from: http://hdl.handle.net/1903/10792.

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

Council of Science Editors:

Clifford EG. Combinatorics of K-Theoretic Jeu de Taquin. [Thesis]. University of Maryland; 2010. Available from: http://hdl.handle.net/1903/10792

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

30. Carter, John A. The Average Measure of a k-Dimensional Simplex in an n-Cube.

Degree: MSin Mathematics, Mathematics, 2018, Missouri State University

URL: https://bearworks.missouristate.edu/theses/3247

► Within an n-dimensional unit cube, a number of k-dimensional simplices can be formed whose vertices are the vertices of the n-cube. In this thesis,… (more)

Subjects/Keywords: k-simplex; n-cube; Cayley-Menger determinants; Bernstein polynomials; Monte Carlo methods; Algebraic Geometry; Discrete Mathematics and Combinatorics; Geometry and Topology

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

APA (6^th Edition):

Carter, J. A. (2018). The Average Measure of a k-Dimensional Simplex in an n-Cube. (Masters Thesis). Missouri State University. Retrieved from https://bearworks.missouristate.edu/theses/3247

Chicago Manual of Style (16^th Edition):

Carter, John A. “The Average Measure of a k-Dimensional Simplex in an n-Cube.” 2018. Masters Thesis, Missouri State University. Accessed March 07, 2021. https://bearworks.missouristate.edu/theses/3247.

MLA Handbook (7^th Edition):

Carter, John A. “The Average Measure of a k-Dimensional Simplex in an n-Cube.” 2018. Web. 07 Mar 2021.

Vancouver:

Carter JA. The Average Measure of a k-Dimensional Simplex in an n-Cube. [Internet] [Masters thesis]. Missouri State University; 2018. [cited 2021 Mar 07]. Available from: https://bearworks.missouristate.edu/theses/3247.

Council of Science Editors:

Carter JA. The Average Measure of a k-Dimensional Simplex in an n-Cube. [Masters Thesis]. Missouri State University; 2018. Available from: https://bearworks.missouristate.edu/theses/3247

Open Access Theses and Dissertations