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MEJIA Guzman Alejandro Diego
Graduate School of System Informatics / Department of System Informatics
Associate Professor

Researcher basic information

■ Research Keyword
  • Boolean algebras
  • Forcing theory
  • Ideals on the natural numbers
  • Ultrafilters on the natural numbers
  • Cichon's diagram
  • Forcing iterations
  • Cardinal characteristics of the continuum
■ Research Areas
  • Natural sciences / Applied mathematics and statistics
  • Natural sciences / Basic mathematics
■ Committee History
  • Apr. 2026 - Jun. 2026, RPTU University Kaiserslautern-Landau, External Examiner for PhD Thesis
  • Jul. 2025 - Aug. 2025, FWF (Austrian Science Fund), Evaluator
  • Jan. 2025 - Feb. 2025, United States - Israel Binational Science Foundation (BSF), Project referee
  • Oct. 2023 - Jan. 2025, Banff International Research Station, Project referee
  • Mar. 2023 - Mar. 2023, Israel Science Foundation, Project referee

Research activity information

■ Award
  • Oct. 2025 National University of Colombia (Medellín Campus), Faculty of Sciences, Recognition Motion, Outstanding Contribution as a Graduate of the Master’s Program in Mathematical Sciences
    Diego A. Mejía
    Currently an Associate Professor at Kobe University, recognized as one of the leading researchers in set theory worldwide. His academic work and continuous support for young Colombian mathematicians demonstrate a strong commitment to the advancement of knowledge and to the international projection of the Colombian scientific community.
    Others

  • Oct. 2025 Alejandro Ángel Escobar Foundation, Honorable Mention: 2025 National Awards for Science and Solidarity, Iterated Forcing with Finitely Additive Measures: Applications of Probability to Forcing Theory
    Andres Felipe, Uribe Zapata, Diego A. Mejia
    International academic award

  • May 2025 Colombian Academy of Exact, Physical, and Natural Sciences, Shizu and Yu Takeuchi prize 2024 for the Best Master Thesis (advisor), Iterated forcing with finitely additive measures: applications of probability to forcing theory
    Andres Felipe Uribe-Zapata, Diego A. Mejía
    International society

  • Apr. 2022 Shizuoka University, 第5期静岡大学若手重点研究者の称号
    Diego A. Mejia
    Others

  • Apr. 2010 MEXT (Japan), Japanese Government (MEXT) Scholarship, Scholarship for doctoral studies
    Diego A. Mejia
    International academic award

  • Jan. 2007 Mazda Foundation for Arts and Sciences, Mazda fellowship from the Mazda Foundation for Arts and Sciences, Scholarship for master studies
    Diego A. Mejia
    Publisher

  • Sep. 2006 Universidad de Antioquia, Best university degree by program, Best university degree by program
    Diego A. Mejia
    International academic award

  • Sep. 2004 Universidad de Antioquia, Worth exaltation in the Scientific Field for distinguised participation at the Colombian Mathematical Olympiad, Worth exaltation in the Scientific Field for distinguised participation at the Colombian Mathematical Olympiad
    Diego A. Mejia
    International academic award

  • Dec. 2003 Universidad Antonio Narino, Bronze medal, VII Colombian Mathematical Olympiad, Bronze medal, VII Colombian Mathematical Olympiad
    Diego A. Mejia
    Japan society

  • Dec. 2003 Universidad Antonio Narino, Silver Medal, VI Iberoamerican Mathematical Olympiad, Silver Medal, VI Iberoamerican Mathematical Olympiad
    Diego A. Mejia
    International society

  • Mar. 2001 Universidad de Antioquia, Honor scholarship (Dean's list), Honor scholarship (Dean's list)
    Diego A. Mejia
    International academic award

■ Paper
■ MISC
■ Books And Other Publications
  • Miguel Cardona, Diego A. Mejia, Andres Uribe-Zapata
    Contributor, Finitely Aditive Measures on Boolean Algebras, Springer Proceedings in Mathematics & Statistics, May 2026, English, Accepted Book Chapter
    [Refereed]
    Scholarly book

  • Diego A. Mejia
    Editor, Editor, Kyoto University Research Institute for Mathematical Sciences, Sep. 2021, 1-86

  • Kim, Byunghan, Brendle, Joerg, Lee, Gyesik, Liu, Fenrong, Ramanujam, R, Srivastava, Shashi M, Tsuboi, Akito, Yu, Liang
    Contributor, Matrix iterations with vertical support restrictions, World Scientific Publications, Jan. 2019, 213-248

■ Lectures, oral presentations, etc.
  • Knaster-like properties at singular cardinals
    Diego A. Mejia
    Yamaguchi Set Theory Seminar 2026, Jun. 2026, English, Iwakuni city, Yamaguchi-ken, Japan, Domestic conference, Co-authored internationally
    Oral presentation

  • The structure of the real line
    Diego A. Mejia
    Coloquio de Matematicas Oswaldo Dede Mejia, Apr. 2026, Spanish, Castilian, Diego A Mejía.jpg, Others, Flyer, No password, Universidad del Atlantico, Barranquilla, Colombia
    [Invited]
    Invited oral presentation

  • Isomorphism Theorems for ideals in Polish spaces
    Diego A. Mejia
    RIMS Workshop on Set Theory 2025: Recent Developments in Axiomatic Set Theory, Dec. 2025, English, Kyoto University RIMS, Japan, International conference, Co-authored internationally
    Oral presentation

  • Cardinal characteristics of the null-additive and meager-additive ideals
    Diego A. Mejia
    18th Asian Logic Conference, Sep. 2025, English
    Oral presentation

  • Forcing techniques for finite support iterations
    Diego A. Mejia
    Conference on the occasion of Jörg Brendle's 60th birthday, Sep. 2025, English
    Oral presentation

  • The cofinality of the strong measure zero ideal
    Diego A. Mejia
    The Vienna Oracle of Set Theory, Jul. 2025, English
    Oral presentation

  • Directed schemes of ideals and cardinal characteristics
    Diego A. Mejia
    Logic Colloquium 2025, Jul. 2025, English
    Oral presentation

  • Strong measure zero, additive ideals, and their cardinal characteristics
    Diego A. Mejia
    19th Kansai Set Theory seminar, Dec. 2024, English
    Oral presentation

  • Slalom numbers
    Diego A. Mejia
    Symposium on Advances in Mathematical Logic, Jul. 2024, Japanese
    [Invited]
    Invited oral presentation

  • Malliaris' and Shelah's p=t (mini-course)
    Diego A. Mejia
    Shizuoka University, Special Seminar in Set Theory, Mar. 2024, English
    [Invited]
    Public discourse

  • Mini-course: Forcing techniques for Cichon's Maximum
    Diego A. Mejia
    University of Vienna, Research Seminar in Set Theory, English
    [Invited]
    Public discourse

  • Ultrafilters and finitely additive measures in forcing theory
    Diego A. Mejia
    Wroclaw Set Theory Seminar, Nov. 2023, English
    [Invited]
    Public discourse

  • Iterations with ultrafilter-limits and fam-limits
    Diego A. Mejia
    Logic Colloquium, University of Vienna, Nov. 2023, English
    [Invited]
    Public discourse

  • Two-dimensional iterations with fam-limits
    Diego A. Mejia
    京都大学RIMS研究集会2023巨大基数と連続体, Oct. 2023, Domestic conference

  • Japan and the real numbers (in Spanish)
    Diego A. Mejia
    56th National Congress of the Mexican Mathematical Society, Oct. 2023, Domestic conference
    [Invited]

  • Finitely additive measures and closed measure zero sets
    Diego A. Mejia
    Iberoamerican and Pan Pacific International Conference on Topology and its Applications, Sep. 2023, Domestic conference
    [Invited]

  • Preservation results related to finitely additive measures on Boolean algebras
    Diego A. Mejia
    University of Vienna, Research Seminar in Set Theory, Jun. 2023, Domestic conference
    [Invited]

  • Forcing and combinatoris of the reals
    Diego A. Mejia
    TUKE x UPJS Colloquium, Jun. 2023, Domestic conference
    [Invited]

  • Cofinality of the ideal of strong measure zero sets
    Diego A. Mejia
    Colombia-Mexico seminar of Set Theory, Nov. 2022, Domestic conference
    [Invited]

  • Measure zero modulo ideals
    Diego A. Mejia
    京都大学RIMS研究集会2022強制法と基数算術の新たな展開, Oct. 2022, Domestic conference

  • 強測度ゼロ集合のイデアルに関連する基数不変量
    Diego A. Mejia
    日本数学会2022年度秋季総合分科会, Sep. 2022, Domestic conference

  • Cardinal Characteristics Associated with the Ideal of Strong Measure Zero Sets
    Diego A. Mejia
    ESI Set Theory Workshop, Jul. 2022, Domestic conference
    [Invited]

  • Variations of the negation of Riis’ axiom
    Diego A. Mejia
    1st Meeting Brazil-Colombia in Logic, Dec. 2021, Domestic conference
    [Invited]

  • Measure zero modulo ideals
    Diego A. Mejia
    XI Simposio Nororiental de Matematicas, Dec. 2021, Domestic conference
    [Invited]

  • The infinite and the real numbers
    Diego A. Mejia
    II Workshop of Basic Sciences: a closeup to Engineering applications, Oct. 2021, Domestic conference
    [Invited]

  • Recent forcing techniques: restrictions to submodels I and II
    Diego A. Mejia
    RIMS研究集会2021 実数の集合論における近年の進展, Oct. 2021, Domestic conference
    [Invited]

  • Combinatorics of the real line since its beginnings
    Diego A. Mejia
    Science Mondays, Sep. 2021, Domestic conference
    [Invited]

  • Continuum-many many things
    Diego A. Mejia
    XVI International Luminy Workshop in Set Theory, Sep. 2021, Domestic conference
    [Invited]

  • Coherent systems of finite support iterations
    Diego A. Mejia
    A short talk series: Research in Set Theory, Jun. 2021, Domestic conference
    [Invited]

  • Preserving failures of simple fragments of Martin's axiom
    Diego A. Mejia
    Kobe Set Theory Workshop 2021 on the occasion of Sakaé Fuchino's Retirement, Mar. 2021, Domestic conference
    [Invited]

  • Lebesgue measure zero modulo ideals
    Diego A. Mejia
    日本数学会2020年度秋季総合分科会, Sep. 2020, Domestic conference

  • Preserving splitting families
    Diego A. Mejia
    Research Seminar, Kurt Goedel Research Center, University of Vienna, May 2020, Domestic conference
    [Invited]

  • Cichon's maximum without large cardinals
    Diego A. Mejia
    XVIII Latin American Symposium of Mathematical Logic, Dec. 2019, Domestic conference
    [Invited]

  • Cichon's maximum without large cardinals
    Diego A. Mejia
    京都大学RIMS研究集会2019集合論と無限, Nov. 2019, Domestic conference

  • Cichon's maximum over ZFC alone
    Diego A. Mejia
    日本数学会2019年度秋季総合分科会, Sep. 2019, Domestic conference
    [Invited]

  • Preservation Theorems of finite support iterations I and II
    Diego A. Mejia
    Set Theory of the Reals, Aug. 2019, Domestic conference
    [Invited]

  • Many different uniformity numbers of Yorioka ideals
    Diego A. Mejia
    RIMS研究集会2018 公理的集合論とその応用, Nov. 2018, Domestic conference

  • Filter-linkedness and its effect on cardinal characteristics of the continuum
    Diego A. Mejia
    Set Theory Today: A conference in honor of Georg Cantor, Sep. 2018, Domestic conference
    [Invited]

  • Filter-linkedness and its effect on cardinal characteristics of the continuum
    Diego A. Mejia
    Joint meeting of the Colombian and Mexican Mathematical Society, May 2018, Domestic conference
    [Invited]

  • 強制法理論及び連続体上の組合せ論
    Diego A. Mejia
    日本数学会2018年度年会, Mar. 2018, Domestic conference

  • Ultrafilter limits in matrix iterations
    Diego A. Mejia
    2nd Pan Pacific International Conference on Topology and Applications, Nov. 2017, Domestic conference
    [Invited]

  • Recent (and not that recent) forcing techniques on finite support iterations
    Diego A. Mejia
    RIMS研究集会2017 反復強制法の理論と基数不変量, Nov. 2017, Domestic conference
    [Invited]

  • Multiple dimensional finite support iterations
    Diego A. Mejia
    The 15th Asian Logic Conference, Jul. 2017, Domestic conference
    [Invited]

  • The left side of Cichon's diagram
    Diego A. Mejia
    RIMS研究集会2016 無限組合せ論と強制法理論, Nov. 2016, Domestic conference

  • Several Values in Cichon's diagram
    Diego A. Mejia
    RIMS研究集会2016 数学基礎論とその応用, Sep. 2016, Domestic conference

  • Expected values for the a.d. number and 3D-iterations
    Diego A. Mejia
    Winter School in Abstract Analysis, section: Set Theory and Topology, Feb. 2016, Domestic conference

  • Cardinal invariants of ideas related to the strong measure zero ideal
    Diego A. Mejia
    1st Pan Pacific International Conference on Topology and Applications, Nov. 2015, Domestic conference
    [Invited]

  • Many different values in Cichon's diagram
    Diego A. Mejia
    The 19th Midrasha Mathematicae, 8th Young Set Theory Workshop, Oct. 2015, Domestic conference
    [Invited]

  • Splitting, bounding and almost disjointness number
    Diego A. Mejia
    Winter School in Abstract Analysis, section: Set Theory and Topology, Feb. 2015, Domestic conference

  • Cichon's diagram and large continuum
    Diego A. Mejia
    Workshop on Mathematical Logic on the Occasion of Sakae Fuchino's 60th Birthday, Nov. 2014, Domestic conference
    [Invited]

  • sba
    Diego A. Mejia
    RIMS研究集会2014 集合論における無限組み合わせ論とその応用, Nov. 2014, Domestic conference

  • Matrix iterations and Cichon's diagram
    Diego A. Mejia
    Logic Colloquium 2014, Jul. 2014, Domestic conference
    [Invited]

  • Rothberger gaps in F_\sigma ideals
    Diego A. Mejia
    ESI Set Theory Programme. Forcing and large cardinals workshop, Sep. 2013, Domestic conference
    [Invited]

  • Template iterations with non-definable posets
    Diego A. Mejia
    RIMS研究集会2013 反映原理と巨大基数の集合論, Sep. 2013, Domestic conference

  • Models of some cardinal invariants with large continuum
    Diego A. Mejia
    RIMS研究集会2012 強制法による拡大と巨大基数, Dec. 2012, Domestic conference

  • Matrix iterations and Cichon's diagram
    Diego A. Mejia
    Joint FWF-JSPS Seminar on Forcing in Set Theory, Jan. 2012, Domestic conference
    [Invited]

  • Forcing iterations and Cichon's diagram
    Diego A. Mejia
    数学基礎論若手の会 2011, Dec. 2011, Domestic conference

■ Affiliated Academic Society
  • European Set Theory Society
    Apr. 2025 - Present

  • Colombian Mathematical Society
    Jan. 2018 - Present

  • The Mathematical Society of Japan
    Oct. 2017 - Present

  • Association for Symbolic Logic
    Apr. 2010 - Present

■ Works
■ Research Themes
  • Advances on Combinatorics of the real line and topology
    基盤研究(C), Apr. 2023 - Mar. 2027

  • 反復強制法の理論における新たな発展
    若手研究(B), 若手研究(B), Apr. 2018 - Mar. 2022
    Competitive research funding

■ Social Contribution Activities
  • 静岡大学FSS
    Others, 高校生の受け入れ, 01 Aug. 2024 - 30 Jun. 2025

  • コロンビア国立大学での講義(オンライン)
    Lecturer, 18 Sep. 2024 - 18 Sep. 2024

  • 静岡大学私立高校SSH
    Others, 07 Aug. 2024 - 08 Aug. 2024

  • 静岡大学FSS
    Others, 高校生の受け入れ, 01 Oct. 2023 - 15 Jun. 2024

■ Media Coverage
■ Academic Contribution Activities
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