{"id":3793,"date":"2025-08-18T13:54:50","date_gmt":"2025-08-18T20:54:50","guid":{"rendered":"https:\/\/colleges.claremont.edu\/ccms\/?post_type=tribe_events&p=3793"},"modified":"2025-08-23T21:32:04","modified_gmt":"2025-08-24T04:32:04","slug":"classifying-possible-density-degree-sets-of-hyperelliptic-curves-jasmine-camero-emory-university","status":"publish","type":"tribe_events","link":"https:\/\/colleges.claremont.edu\/ccms\/event\/classifying-possible-density-degree-sets-of-hyperelliptic-curves-jasmine-camero-emory-university\/","title":{"rendered":"Classifying possible density degree sets of hyperelliptic curves (Jasmine Camero, Emory University)"},"content":{"rendered":"

Let $C$ be a nice (smooth, projective, geometrically integral) curve over a number field $k$. The single most important geometric invariant of a curve is the genus, which can control various arithmetic properties of a curve. A celebrated result of Faltings implies that all points on $C$ come in families of bounded degree, with finitely many exceptions. This result symbolized an advancement in the study of arithmetic information about curves and serves as the guiding philosophy of arithmetic geometry by highlighting the idea that \u201cgeometry governs arithmetic.\u201d We explore the behavior of parameterized points and deduce consequences for the arithmetic of hyperelliptic curves, specifically focusing on classifying the density degree sets of such curves.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

Let $C$ be a nice (smooth, projective, geometrically integral) curve over a number field $k$. The single most important geometric invariant of a curve is the genus, which can control […]<\/p>\n","protected":false},"author":73,"featured_media":0,"template":"","meta":{"_acf_changed":false,"_price":"","_stock":"","_tribe_ticket_header":"","_tribe_default_ticket_provider":"","_tribe_ticket_capacity":"0","_ticket_start_date":"","_ticket_end_date":"","_tribe_ticket_show_description":"","_tribe_ticket_show_not_going":false,"_tribe_ticket_use_global_stock":"","_tribe_ticket_global_stock_level":"","_global_stock_mode":"","_global_stock_cap":"","_tribe_rsvp_for_event":"","_tribe_ticket_going_count":"","_tribe_ticket_not_going_count":"","_tribe_tickets_list":"[]","_tribe_ticket_has_attendee_info_fields":false,"_tribe_events_status":"","_tribe_events_status_reason":"","_tribe_events_is_hybrid":"","_tribe_events_is_virtual":"","_tribe_events_virtual_video_source":"","_tribe_events_virtual_embed_video":"","_tribe_events_virtual_linked_button_text":"","_tribe_events_virtual_linked_button":"","_tribe_events_virtual_show_embed_at":"","_tribe_events_virtual_show_embed_to":[],"_tribe_events_virtual_show_on_event":"","_tribe_events_virtual_show_on_views":"","_tribe_events_virtual_url":"","footnotes":"","_tec_slr_enabled":"","_tec_slr_layout":""},"tags":[],"tribe_events_cat":[13],"class_list":["post-3793","tribe_events","type-tribe_events","status-publish","hentry","tribe_events_cat-antc-seminar","cat_antc-seminar"],"acf":[],"yoast_head":"\nClassifying possible density degree sets of hyperelliptic curves (Jasmine Camero, Emory University) - Claremont Center for the Mathematical Sciences<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/colleges.claremont.edu\/ccms\/event\/classifying-possible-density-degree-sets-of-hyperelliptic-curves-jasmine-camero-emory-university\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Classifying possible density degree sets of hyperelliptic curves (Jasmine Camero, Emory University) - Claremont Center for the Mathematical Sciences\" \/>\n<meta property=\"og:description\" content=\"Let $C$ be a nice (smooth, projective, geometrically integral) curve over a number field $k$. 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