{"id":"https://openalex.org/W2406384269","doi":"https://doi.org/10.29007/19ls","title":"Mathematics of 21st Century: A Personal View","display_name":"Mathematics of 21st Century: A Personal View","publication_year":2018,"publication_date":"2018-01-23","ids":{"openalex":"https://openalex.org/W2406384269","doi":"https://doi.org/10.29007/19ls","mag":"2406384269"},"language":"en","primary_location":{"id":"doi:10.29007/19ls","is_oa":true,"landing_page_url":"https://doi.org/10.29007/19ls","pdf_url":"https://easychair.org/publications/open/vCc","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://easychair.org/publications/open/vCc","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017274120","display_name":"Bruno Buchberger","orcid":null},"institutions":[{"id":"https://openalex.org/I121883995","display_name":"Johannes Kepler University of Linz","ror":"https://ror.org/052r2xn60","country_code":"AT","type":"education","lineage":["https://openalex.org/I121883995"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Bruno Buchberger","raw_affiliation_strings":["Research Institute for Symbolic Computation -RISC Johannes Kepler University Linz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Research Institute for Symbolic Computation -RISC Johannes Kepler University Linz, Austria","institution_ids":["https://openalex.org/I121883995"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5017274120"],"corresponding_institution_ids":["https://openalex.org/I121883995"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0121997,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"15","issue":null,"first_page":"1","last_page":""},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9660999774932861,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.7245622277259827},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6091523170471191},{"id":"https://openalex.org/keywords/object","display_name":"Object (grammar)","score":0.572516918182373},{"id":"https://openalex.org/keywords/process","display_name":"Process (computing)","score":0.4742790162563324},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.46932169795036316},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.4679108262062073},{"id":"https://openalex.org/keywords/type-theory","display_name":"Type theory","score":0.44061803817749023},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4313156306743622},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35692569613456726},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3187255263328552},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.30395573377609253},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1355777084827423}],"concepts":[{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.7245622277259827},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6091523170471191},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.572516918182373},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.4742790162563324},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.46932169795036316},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.4679108262062073},{"id":"https://openalex.org/C93682546","wikidata":"https://www.wikidata.org/wiki/Q1056428","display_name":"Type theory","level":3,"score":0.44061803817749023},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4313156306743622},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35692569613456726},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3187255263328552},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.30395573377609253},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1355777084827423},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.29007/19ls","is_oa":true,"landing_page_url":"https://doi.org/10.29007/19ls","pdf_url":"https://easychair.org/publications/open/vCc","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.29007/19ls","is_oa":true,"landing_page_url":"https://doi.org/10.29007/19ls","pdf_url":"https://easychair.org/publications/open/vCc","source":{"id":"https://openalex.org/S4220651395","display_name":"EPiC series in computing","issn_l":"2398-7340","issn":["2398-7340"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"EPiC Series in Computing","raw_type":"proceedings-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.6899999976158142}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2406384269.pdf","grobid_xml":"https://content.openalex.org/works/W2406384269.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3083301185","https://openalex.org/W4306816010","https://openalex.org/W2170599098","https://openalex.org/W2787703111","https://openalex.org/W2163980057","https://openalex.org/W4225424606","https://openalex.org/W4306353309","https://openalex.org/W4386614239","https://openalex.org/W4283575722","https://openalex.org/W3120415410"],"abstract_inverted_index":{"In":[0,79],"this":[1,85],"talk,":[2],"we":[3,81],"will":[4,82],"exemplify":[5],"the":[6,18,24,41,46,56,62,76,93,97],"spirit":[7],"of":[8,12,87,100],"a":[9,15,31,34,105],"new":[10],"type":[11,86],"mathematics":[13,39,89],"by":[14],"report":[16],"on":[17,61,75],"Theorema":[19,28,49],"system":[20],"being":[21],"developed":[22],"in":[23,40],"speaker's":[25],"research":[26],"group.":[27],"is":[29],"both":[30],"logic":[32],"and":[33,53,73],"software":[35],"frame":[36,59],"for":[37,108],"doing":[38,88],"way":[42],"sketched":[43],"above.":[44],"On":[45],"object":[47,77],"level,":[48],"allows":[50,65,90],"to":[51,66,91],"prove":[52],"program":[54],"within":[55],"same":[57],"logical":[58],"and,":[60],"meta-level,":[63],"it":[64],"formulate":[67],"reasoning":[68],"techniques":[69],"that":[70],"help":[71],"proving":[72],"programming":[74],"level.":[78],"particular,":[80],"show":[83],"how":[84],"mimic":[92],"invention":[94],"process":[95],"behind":[96],"speaker\u2019s":[98],"theory":[99],"Gr\u00f6bner":[101],"bases,":[102],"which":[103],"provides":[104],"general":[106],"method":[107],"dealing":[109],"with":[110],"multivariate":[111],"nonlinear":[112],"polynomial":[113],"systems.":[114]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}