{"id":{"repo_id":"maryland","oai_identifier":"oai:drum.lib.umd.edu:1903/9121"},"canonical_url":"https://search.dev.ndltd.org/etd/maryland/oai:drum.lib.umd.edu:1903/9121","repository":{"repo_id":"maryland","name":"University of Maryland","base_url":"https://api.drum.lib.umd.edu/server/oai/request"},"display":{"title":"Presentations of Semigroup Algebras of Weighted Trees","abstract":"We study presentations for subalgebras of invariants of the coordinate algebras of binary symmetric models of phylogenetic trees studied by Buczynska and Wisniewski. These algebras arise as toric degenerations of projective coordinate rings of weight varieties of the Grassmannian of two planes associated to the Pl\\\"ucker embedding, and as toric degenerations of rings of invariants of Cox-Nagata rings.","abstract_html":"We study presentations for subalgebras of invariants of the coordinate algebras of binary symmetric models of phylogenetic trees studied by Buczynska and Wisniewski. These algebras arise as toric degenerations of projective coordinate rings of weight varieties of the Grassmannian of two planes associated to the Pl\\"ucker embedding, and as toric degenerations of rings of invariants of Cox-Nagata rings.","abstract_has_math":false,"creators":["Manon, Christopher Allen"],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":"Mathematics","school":null,"contributors":[],"advisors":["Millson, John J"],"committee_chairs":[],"committee_members":[],"year":2009,"date_issued":"2009","date_published":"2009","updated_at":"2026-07-24T03:02:27Z","subjects":[],"languages":["en_US"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/1903/9121","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Millson, John J"]},{"key":"dc:contributor.department","label":"Department","values":["Mathematics"]},{"key":"dc:creator","label":"Author","values":["Manon, Christopher Allen"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2009-07-02T05:35:25Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2009-07-02T05:35:25Z"]},{"key":"dc:date.issued","label":"Date","values":["2009"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en_US"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/1903/9121"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["We study presentations for subalgebras of invariants of the coordinate algebras of binary symmetric models of phylogenetic trees studied by Buczynska and Wisniewski. These algebras arise as toric degenerations of projective coordinate rings of weight varieties of the Grassmannian of two planes associated to the Pl\\\"ucker embedding, and as toric degenerations of rings of invariants of Cox-Nagata rings."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Presentations of Semigroup Algebras of Weighted Trees"]}]}],"canonical_facts":{"dc:contributor.advisor":["Millson, John J"],"dc:contributor.department":["Mathematics"],"dc:creator":["Manon, Christopher Allen"],"dc:date.accessioned":["2009-07-02T05:35:25Z"],"dc:date.available":["2009-07-02T05:35:25Z"],"dc:date.issued":["2009"],"dc:description.abstract":["We study presentations for subalgebras of invariants of the coordinate algebras of binary symmetric models of phylogenetic trees studied by Buczynska and Wisniewski. These algebras arise as toric degenerations of projective coordinate rings of weight varieties of the Grassmannian of two planes associated to the Pl\\\"ucker embedding, and as toric degenerations of rings of invariants of Cox-Nagata rings."],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["http://hdl.handle.net/1903/9121"],"dc:language.iso":["en_US"],"dc:title":["Presentations of Semigroup Algebras of Weighted Trees"],"dc:type":["Dissertation"]},"updated_at":"2026-07-24T03:02:27Z"}