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Mejia Guzman Diego Alejandro  メヒア ディエゴ

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Mejia Diego  メヒア ディエゴ

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Researcher Number 70777961
Other IDs
Affiliation (Current) 2025: 神戸大学, システム情報学研究科, 准教授
Affiliation (based on the past Project Information) *help 2025: 神戸大学, システム情報学研究科, 准教授
2018 – 2023: 静岡大学, 理学部, 准教授
Review Section/Research Field
Principal Investigator
Basic Section 12030:Basic mathematics-related
Except Principal Investigator
Basic Section 12030:Basic mathematics-related
Keywords
Principal Investigator
Real line / Forcing Theory / Measure and category / Ideals / Strong measure zero sets / Forcing theory / Real line combinatorics / Ideals on N / Strong measure zero / Cardinal characteristics … More / 連続体上の組合せ / 限定算術 / Strong Measure Zero Sets / Ultrafilters / Bounded Arithmetic / Creature Forcing / Strong Measure Zero / 自然数上のイデアル / Forcing Iterations / 強測度ゼロ / 多次元反復強制法 / 超フィルター / 連続体上の組合せ論 / Creature forcing / 反復強制法 / 強制法理論 … More
Except Principal Investigator
実解析 / 強制法の理論 / 集合論 / 数理論理学 Less
  • Research Projects

    (3 results)
  • Research Products

    (49 results)
  • Co-Researchers

    (1 People)
  •  Set-theoretic aspects of phenomena from real analysis

    • Principal Investigator
      Brendle Jorg
    • Project Period (FY)
      2025 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12030:Basic mathematics-related
    • Research Institution
      Kobe University
  •  Advances on Combinatorics of the Real Line and TopologyPrincipal Investigator

    • Principal Investigator
      メヒア ディエゴ
    • Project Period (FY)
      2023 – 2026
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12030:Basic mathematics-related
    • Research Institution
      Shizuoka University
  •  New developments in iterated forcingPrincipal Investigator

    • Principal Investigator
      Mejia Diego
    • Project Period (FY)
      2018 – 2022
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 12030:Basic mathematics-related
    • Research Institution
      Shizuoka University

All 2024 2023 2022 2021 2020 2019 2018

All Journal Article Presentation

  • [Journal Article] Continuum many different things: Localisation, Anti-Localisation and Yorioka Ideals2024

    • Author(s)
      Miguel Cardona, Diego A. Mejia, Lukas Klausner
    • Journal Title

      Annals of Pure and Applied Logic

      Volume: 175 Issue: 7 Pages: 103453-103453

    • DOI

      10.1016/j.apal.2024.103453

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03198
  • [Journal Article] Independence of the Withehead Problem for algebraists2024

    • Author(s)
      Diego A. Mejia, Carlos M. Parra-Londono
    • Journal Title

      Boletin de Matematicas (Universidad Nacional de Colombia) - Proceedings Primer Encuentro de Logica Brasil-Colombia

      Volume: -

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03198
  • [Journal Article] Localization and anti-localization cardinals2023

    • Author(s)
      Miguel Cardona and Diego A. Mejia
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: -

    • Open Access
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Journal Article] Lebesgue measure zero modulo ideals on the natural numbers2023

    • Author(s)
      Viera Gavalova and Diego A. Mejia
    • Journal Title

      The Journal of Symbolic Logic

      Volume: - Pages: 1-31

    • DOI

      10.1017/jsl.2023.97

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03198
  • [Journal Article] Localization and anti-localization cardinals2023

    • Author(s)
      D.A. Mejia and Miguel Cardona
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2261 Pages: 47-77

    • Open Access
    • Data Source
      KAKENHI-PROJECT-23K03198
  • [Journal Article] Forcing constellations of Cichon's diagram by using the Tukey order2022

    • Author(s)
      M. Cardona and D.A. Mejia
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 2213 Pages: 14-47

    • Open Access
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Journal Article] Lebesgue measure zero modulo ideals on the natural numbers2022

    • Author(s)
      Viera Gavalova, Diego A. Mejia
    • Journal Title

      Preprint

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Journal Article] Continuum Many Different Things: Localisation, Anti-Localisation and Yorioka Ideals2022

    • Author(s)
      Miguel Cardona, Lukas Klausner, Diego A. Mejia
    • Journal Title

      Preprint

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Journal Article] Some notes about power residues modulo prime2022

    • Author(s)
      Y. Kiriu and D.A. Mejia
    • Journal Title

      Revista Integracion, Temas de Matematicas

      Volume: 40 (1) Issue: 1 Pages: 1-23

    • DOI

      10.18273/revint.v40n1-2022001

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Journal Article] Preservation of splitting families and cardinal characteristics of the continuum2021

    • Author(s)
      Jakob Kellner, Martin Goldstern, Diego A. Mejia, Saharon Shelah
    • Journal Title

      Israel Journal of Mathematics

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Journal Article] Many different uniformity numbers of Yorioka ideals2021

    • Author(s)
      L. Klausner and D.A. Mejia
    • Journal Title

      Archive for Mathematical Logic

      Volume: - Issue: 5-6 Pages: 653-683

    • DOI

      10.1007/s00153-021-00809-z

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Journal Article] Controlling classical cardinal characteristics while collapsing cardinals2021

    • Author(s)
      Jakob Kellner, Martin Goldstern, Diego A. Mejia, Saharon Shelah
    • Journal Title

      Colloquium Mathematicum

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Journal Article] The covering number of the strong measure zero ideal can be above almost everything else2021

    • Author(s)
      M. Cardona, D.A. Mejia and I. Rivera-Madrid
    • Journal Title

      Archive for Mathematical Logic

      Volume: - Issue: 5-6 Pages: 599-610

    • DOI

      10.1007/s00153-021-00808-0

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Journal Article] Some infinitely generated non-projective modules over path algebras and their extensions under Martin's axiom2020

    • Author(s)
      Ayako Itaba, Diego A. Mejia, Teruyuki Yorioka
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 72 Issue: 2 Pages: 413-433

    • DOI

      10.2969/jmsj/79857985

    • NAID

      130007834732

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Journal Article] Forcing and combinatorics of names2020

    • Author(s)
      Diego A. Mejia
    • Journal Title

      京都大学数理解析研究所講究緑

      Volume: 2164 Pages: 34-49

    • Open Access
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Journal Article] Controlling classical cardinal characteristics while collapsing cardinals2020

    • Author(s)
      Jakob Kellner, Martin Goldstern, Diego A. Mejia, Saharon Shelah
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: -

    • Open Access
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Journal Article] Cichon's maximum without large cardinals2020

    • Author(s)
      Jakob Kellner, Martin Goldstern, Diego A. Mejia, Saharon Shelah
    • Journal Title

      Journal of the European Mathematical Society

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Journal Article] Filter-linkedness and its effect on preservation of cardinal characteristics2020

    • Author(s)
      Joerg Brendle, Miguel Cardona, Diego A. Mejia
    • Journal Title

      Annals of Pure and Applied Logic

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Journal Article] Matrix iterations with vertical support restriction2019

    • Author(s)
      Diego A. Mejia
    • Journal Title

      Proceedings of the 14th and 15th Asian Logic Conferences, World Scientific

      Volume: - Pages: 213-248

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Journal Article] On cardinal characteristics associated with Yorioka ideals2019

    • Author(s)
      Miguel Cardona, Diego A. Mejia
    • Journal Title

      Mathematical Logic Quarterly

      Volume: - Issue: 2 Pages: 170-199

    • DOI

      10.1002/malq.201800034

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Journal Article] Absoluteness theorems for arbitrary Polish spaces2019

    • Author(s)
      Diego A. Mejia, Ismael Rivera-Madrid
    • Journal Title

      Revista Colombiana de Matematicas

      Volume: -

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Journal Article] Lecture notes: Recent (and not that recent) forcing techniques on finite support iterations2018

    • Author(s)
      Diego A. Mejia
    • Journal Title

      京都大学数理解析研究所講究緑

      Volume: 2081 Pages: 7-27

    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] Preservation results related to finitely additive measures on Boolean algebras2023

    • Author(s)
      Diego A. Mejia
    • Organizer
      University of Vienna
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K03198
  • [Presentation] Finitely additive measures and closed measure zero sets2023

    • Author(s)
      Diego A. Mejia
    • Organizer
      Iberoamerican and Pan Pacific International Conference on Topology and its Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03198
  • [Presentation] Iterations with ultrafilter-limits and fam-limits2023

    • Author(s)
      Diego A. Mejia
    • Organizer
      Logic Colloquium, University of Vienna
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03198
  • [Presentation] Japan and the real numbers2023

    • Author(s)
      Diego A. Mejia
    • Organizer
      56th National Congress of the Mexican Mathematical Society
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03198
  • [Presentation] Forcing techniques for Cichon's Maximum (Mini-course)2023

    • Author(s)
      Diego A. Mejia
    • Organizer
      University of Vienna
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K03198
  • [Presentation] Ultrafilters and finitely additive measures in forcing theory2023

    • Author(s)
      Diego A. Mejia
    • Organizer
      University of Wroclaw
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K03198
  • [Presentation] Forcing and combinatoris of the reals2023

    • Author(s)
      Diego A. Mejia
    • Organizer
      UPSJ x TUKE Colloquium
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K03198
  • [Presentation] Measure zero modulo ideals2022

    • Author(s)
      Diego A. Mejia
    • Organizer
      京都大学RIMS研究集会2022強制法と基数算術の新たな展開
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] Cardinal Characteristics Associated with the Ideal of Strong Measure Zero Sets2022

    • Author(s)
      Diego A. Mejia
    • Organizer
      ESI Set Theory Workshop
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] 強測度ゼロ集合のイデアルに関連する基数不変量2022

    • Author(s)
      Diego A. Mejia
    • Organizer
      日本数学会2022年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] Cofinality of the ideal of strong measure zero sets2022

    • Author(s)
      Diego A. Mejia
    • Organizer
      Colombia-Mexico seminar of Set Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] 短期コース:Recent forcing techniques: restrictions to submodels I and II2021

    • Author(s)
      D.A. Mejia
    • Organizer
      RIMS研究集会2021 実数の集合論における近年の進展
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] Continuum-many many things2021

    • Author(s)
      D.A. Mejia
    • Organizer
      XVI International Luminy Workshop in Set Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] Variations of the negation of Riis’ axiom2021

    • Author(s)
      D.A. Mejia
    • Organizer
      1st Meeting Brazil-Colombia in Logic
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] Preserving failures of simple fragments of Martin's axiom2021

    • Author(s)
      Diego A. Mejia
    • Organizer
      Kobe Set Theory Workshop 2021 on the occasion of Sakae Fuchino's Retirement
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] The infinite and the real numbers2021

    • Author(s)
      D.A. Mejia
    • Organizer
      II Workshop of Basic Sciences: a closeup to Engineering applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] Measure zero modulo ideals2021

    • Author(s)
      D.A. Mejia
    • Organizer
      XI Simposio Nororiental de Matematicas
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] Coherent systems of finite support iterations2021

    • Author(s)
      D.A. Mejia
    • Organizer
      A short talk series: Research in Set Theory
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] Lebesgue measure zero modulo ideals2020

    • Author(s)
      Diego A. Mejia
    • Organizer
      日本数学会2020年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] Preserving splitting families2020

    • Author(s)
      Diego A. Mejia
    • Organizer
      Research Seminar, Kurt Goedel Research Center, University of Vienna
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] Preservation Theorems of finite support iterations I and II2019

    • Author(s)
      Diego A. Mejia
    • Organizer
      Set Theory of the Reals, Casa Matematica Oaxaca, Mexico
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] Cichon's maximum over ZFC alone2019

    • Author(s)
      Diego A. Mejia
    • Organizer
      日本数学会2019年度秋季総合分科会、 数学基礎論および歴史分科会の特別講演、金沢大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] Cichon's maximum without large cardinals2019

    • Author(s)
      Diego A. Mejia
    • Organizer
      京都大学RIMS研究集会2019集合論と無限
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] Cichon's maximum without large cardinals2019

    • Author(s)
      Diego A. Mejia
    • Organizer
      XVIII Latin American Symposium of Mathematical Logic, Concepcion University, Chile
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] Filter-linkedness and its effect on cardinal characteristics of the continuum2018

    • Author(s)
      Diego A. Mejia
    • Organizer
      Joint meeting of the Colombian and Mexican Mathematical Society
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] Many different uniformity numbers of Yorioka ideals2018

    • Author(s)
      Diego A. Mejia
    • Organizer
      京都RIMS研究集会2018 公理的集合論とその応用
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • [Presentation] Filter-linkedness and its effect on cardinal characteristics of the continuum2018

    • Author(s)
      Diego A. Mejia
    • Organizer
      Set Theory Today: A conference in honor of Georg Cantor
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K13448
  • 1.  Brendle Jorg (70301851)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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