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ESCOLAR Gaw Emerson
Graduate School of Human Development and Environment / Department of Human Environmental Science
Associate Professor

Researcher basic information

■ Research Keyword
  • 応用数学
  • Algorithms
  • Representation Theory
  • Topological Data Analysis
■ Research Areas
  • Natural sciences / Applied mathematics and statistics
  • Natural sciences / Basic mathematics
  • Natural sciences / Algebra
  • Informatics / Computational science
■ Committee History
  • Jan. 2023 - Present, Applied Algebraic Topology Research Network (AATRN), Speaker Selection Committee
  • Apr. 2021 - Present, 日本応用数理学会 位相的データ解析研究部会, 幹事, https://sites.google.com/view/jsiam-tda
  • Apr. 2021 - Present, 日本応用数理学会, JSIAM Letters Associate Editor
  • Apr. 2024 - Mar. 2025, 日本応用数理学会, 代表会員
  • 2024 - Mar. 2025, 日本応用数理学会 第21回 研究部会連合発表会 実行委員会, 実行委員
  • 2022 - 2023, 10th International Congress on Industrial and Applied Mathematics (ICIAM 2023 Tokyo), Local Scientific Program Committee
  • 2022 - 2023, Nonlinear Theory and Its Applications, IEICE, "Special Section on Topological Data Analysis". (April issue 2023) Associate editor

Research activity information

■ Award
  • Oct. 2023 神戸大学大学教育推進機構, 全学共通教育ベストティーチャー賞
    エスカラ エマソン ガウ

■ Paper
  • Toshitaka Aoki, Emerson G. Escolar, Shunsuke Tada
    Abstract Recently, there is growing interest in the use of relative homological algebra to develop invariants using interval covers and interval resolutions (i.e., right minimal approximations and resolutions relative to interval-decomposable modules) for multi-parameter persistence modules. In this paper, the set of all interval modules over a given poset plays a central role. Firstly, we show that the restriction of interval covers of modules to each indecomposable direct summand is injective. This result suggests a way to simplify the computation of interval covers. Secondly, we show the monotonicity of the interval resolution global dimension, i.e., if Q is a full subposet of P, then the interval resolution global dimension of Q is not larger than that of P. Finally, we provide a complete classification of posets whose interval resolution global dimension is zero.
    Corresponding, Springer Science and Business Media LLC, May 2025, Journal of Applied and Computational Topology, 9(2) (2), English, International magazine
    [Refereed]
    Scientific journal

  • Emerson G. Escolar, Yuta Shimada, Masahiro Yuasa
    Dec. 2024, International Journal of Gastronomy and Food Science
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Toshitaka Aoki, Emerson G. Escolar, Shunsuke Tada
    2024, Japan Journal of Industrial and Applied Mathematics
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Emerson G. Escolar, Yasuaki Hiraoka, Mitsuru Igami, Yasin Ozcan
    Oct. 2023, RESEARCH POLICY, 52(8) (8), English
    [Refereed]
    Scientific journal

  • Hideto Asashiba, Emerson G. Escolar, Ken Nakashima, Michio Yoshiwaki
    Corresponding, Oct. 2023, JOURNAL OF PURE AND APPLIED ALGEBRA, 227(10) (10), English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Hideto Asashiba, Emerson G. Escolar, Ken Nakashima, Michio Yoshiwaki
    Corresponding, Sep. 2023, Journal of Computational Algebra, English
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Yusuke Imoto, Tomonori Nakamura, Emerson G Escolar, Michio Yoshiwaki, Yoji Kojima, Yukihiro Yabuta, Yoshitaka Katou, Takuya Yamamoto, Yasuaki Hiraoka, Mitinori Saitou
    Single-cell RNA sequencing (scRNA-seq) can determine gene expression in numerous individual cells simultaneously, promoting progress in the biomedical sciences. However, scRNA-seq data are high-dimensional with substantial technical noise, including dropouts. During analysis of scRNA-seq data, such noise engenders a statistical problem known as the curse of dimensionality (COD). Based on high-dimensional statistics, we herein formulate a noise reduction method, RECODE (resolution of the curse of dimensionality), for high-dimensional data with random sampling noise. We show that RECODE consistently resolves COD in relevant scRNA-seq data with unique molecular identifiers. RECODE does not involve dimension reduction and recovers expression values for all genes, including lowly expressed genes, realizing precise delineation of cell fate transitions and identification of rare cells with all gene information. Compared with representative imputation methods, RECODE employs different principles and exhibits superior overall performance in cell-clustering, expression value recovery, and single-cell–level analysis. The RECODE algorithm is parameter-free, data-driven, deterministic, and high-speed, and its applicability can be predicted based on the variance normalization performance. We propose RECODE as a powerful strategy for preprocessing noisy high-dimensional data.
    Life Science Alliance, LLC, Dec. 2022, Life Science Alliance, 5(12) (12), e202201591 - e202201591
    [Refereed]
    Scientific journal

  • Mickael Buchet, Emerson G. Escolar
    Sep. 2022, Journal of Computational Geometry, 13(1) (1), 298 - 326, English, International magazine
    [Refereed]
    Scientific journal
    Link to Kobe Univ. Repository (Kernel)

  • Hideto Asashiba, Mickaël Buchet, Emerson G. Escolar, Ken Nakashima, Michio Yoshiwaki
    Elsevier {BV}, Apr. 2022, Computational Geometry, 105-106, 101879 - 101879
    [Refereed]
    Scientific journal

  • Emerson G. Escolar, Killian Meehan, Michio Yoshiwaki
    Springer Science and Business Media LLC, Oct. 2021, Applicable Algebra in Engineering, Communication and Computing
    [Refereed]
    Scientific journal

  • Mickaël Buchet, Emerson G. Escolar
    A recent work by Lesnick and Wright proposed a visualisation of $2$D
    persistence modules by using their restrictions onto lines, giving a family of
    $1$D persistence modules. We give a constructive proof that any $1$D
    persistence module with finite support can be found as a restriction of some
    indecomposable $2$D persistence module with finite support. As consequences of
    our construction, we are able to exhibit indecomposable $2$D persistence
    modules whose support has holes as well as an indecomposable $2$D persistence
    module containing all $1$D persistence modules with finite support as line
    restrictions. Finally, we also show that any finite-rectangle-decomposable $n$D
    persistence module can be found as a restriction of some indecomposable
    $(n+1)$D persistence module.
    2020, J. Appl. Comput. Topol., 4(3) (3), 387 - 424
    [Refereed]
    Scientific journal

  • Asashiba Hideto, Escolar Emerson G, Hiraoka Yasuaki, Takeuchi Hiroshi
    Jan. 2019, JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 36(1) (1), 97 - 130
    [Refereed]
    Scientific journal

  • Mickaël Buchet, Emerson G. Escolar
    While persistent homology has taken strides towards becoming a widespread tool for data analysis, multidimensional persistence has proven more difficult to apply. One reason is the serious drawback of no longer having a concise and complete descriptor analogous to the persistence diagrams of the former. We propose a simple algebraic construction to illustrate the existence of infinite families of indecomposable persistence modules over regular grids of sufficient size. On top of providing a constructive proof of representation infinite type, we also provide realizations by topological spaces and Vietoris-Rips filtrations, showing that they can actually appear in real data and are not the product of degeneracies.
    Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik, 2018, 34th International Symposium on Computational Geometry, SoCG 2018, June 11-14, 2018, Budapest, Hungary, 15:1-15:13, English
    [Refereed]
    International conference proceedings

  • Yasuaki Hiraoka, Takenobu Nakamura, Akihiko Hirata, Emerson G. Escolar, Kaname Matsue, Yasumasa Nishiura
    Jun. 2016, PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 113(26) (26), 7035 - 7040, English
    [Refereed]
    Scientific journal

  • Emerson G. Escolar, Yasuaki Hiraoka
    2016, OPTIMIZATION IN THE REAL WORLD: TOWARD SOLVING REAL-WORLD OPTIMIZATION PROBLEMS, 13, 79 - 96, English
    [Refereed]
    International conference proceedings

  • Emerson G. Escolar, Yasuaki Hiraoka
    2016, MATHEMATICAL CHALLENGES IN A NEW PHASE OF MATERIALS SCIENCE, 166, 69 - 82, English
    [Refereed]
    International conference proceedings

  • Emerson G. Escolar, Yasuaki Hiraoka
    Jan. 2016, DISCRETE & COMPUTATIONAL GEOMETRY, 55(1) (1), 100 - 157, English
    [Refereed]
    Scientific journal

  • Takenobu Nakamura, Yasuaki Hiraoka, Akihiko Hirata, Emerson G. Escolar, Yasumasa Nishiura
    Jul. 2015, NANOTECHNOLOGY, 26(30) (30), 304001, English
    [Refereed]
    Scientific journal

  • Emerson G. Escolar, Yasuaki Hiraoka
    2014, A Mathematical Approach to Research Problems of Science and Technology - Theoretical Basis and Developments in Mathematical Modeling, 101 - 118

  • Emerson Escolar, Yasuaki Hiraoka
    Indonesian Mathematical Society, 2014, Journal of the Indonesian Mathematical Society, 20(1) (1), 47 - 75, English
    [Refereed]
    Scientific journal

  • Emerson G. Escolar, Yasuaki Hiraoka
    Springer Verlag, 2014, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 8592, 144 - 151, English
    International conference proceedings

■ MISC
  • E.G. エスカラ
    Lead, Jun. 2023, 数理科学 2023年6月号 Ｎｏ.720, 71 - 94, Japanese
    [Invited]
    Introduction scientific journal

  • The Whole in the Parts: Putting $n$D Persistence Modules Inside Indecomposable $(n + 1)$D Ones
    Mickaël Buchet, Emerson G. Escolar
    Multidimensional persistence has been proposed to study the persistence of topological features in data indexed by multiple parameters. In this work, we further explore its algebraic complications from the point of view of higher dimensional indecomposable persistence modules containing lower dimensional ones as hyperplane restrictions. Our previous work constructively showed that any finite rectangle-decomposable $n$D persistence module is the hyperplane restriction of some indecomposable $(n+1)$D persistence module, as a corollary of the result for $n=1$. Here, we extend this by dropping the requirement of rectangle-decomposability. Furthermore, in the case that the underlying field is countable, we construct an indecomposable $(n+1)$D persistence module containing all $n$D persistence modules, up to isomorphism, as hyperplane restrictions. Finally, in the case $n=1$, we present a minimal construction that improves our previous construction.
    04 Dec. 2020

  • Nakamura T., Hiraoka Y., Hirata A., Escolar E., Matsue K., Nishiura Y.
    The Physical Society of Japan (JPS), 2015, Meeting Abstracts of the Physical Society of Japan, 70, 2947 - 2947, Japanese

  • 8aAp-9 A characterization of the amorphous silica structure by persistent homology II
    Nakamura Takenobu, Hiraoka Yasuaki, Hirata Akihiko, Escolar Emerson, Matsue Kaname, Nishiura Yasumasa
    The Physical Society of Japan (JPS), 22 Aug. 2014, Meeting abstracts of the Physical Society of Japan, 69(2) (2), 128 - 128, Japanese

■ Books And Other Publications
  • 位相的データ解析から構造発見へ : パーシステントホモロジーを中心に
    池, 祐一, Emerson Gaw Escolar, 大林, 一平, 鍛冶, 静雄
    サイエンス社, Sep. 2023, ISBN: 9784781915807

■ Lectures, oral presentations, etc.
  • Barcoding invariants and their equivalent discriminating power
    Emerson Escolar
    TSVP Symposium: Representation Theory and Topological Data Analysis, Jul. 2025

  • Invariants for persistence (four lectures)
    Emerson Escolar
    TSVP Thematic Program "TDA PARTI - Topological Data Analysis, Persistence And Representation Theory Intertwined", OIST, Center Building, Room C209

  • Barcoding Invariants and Their Equivalent Discriminating Power
    Emerson Escolar
    TDA week 2025, Jun. 2025, Maskawa Hall, Kyoto University

  • Representation Theory and (Barcoding) Invariants for Persistence
    Emerson Escolar
    OIST Representation Theory Seminar, Apr. 2025, OIST L4F01 and online on Zoom

  • レシピ空間の位相的な解析とその発展
    島田優多, エスカラ エマソン ガウ, 湯浅正洋
    日本応用数理学会 若手の会 第10回学生研究発表会, Mar. 2025

  • Barcoding Invariants and Their Equivalent Discriminating Power
    Emerson Gaw Escolar, Woojin Kim
    日本応用数理学会第21回研究部会連合発表会 [研究部会 OS] 位相的データ解析, Mar. 2025

  • 位相的データ解析とその応用例
    Emerson G. Escolar
    パーシステントホモロジーセミナー, Nov. 2024

  • Introduction to Topological Data Analysis and Recent Progress in Multiparameter Persistence
    Emerson G. Escolar
    NTT基礎数学セミナー, Sep. 2024, NTT武蔵野研究開発センタ

  • 位相的データ解析とその応用例
    エスカラ エマソン ガウ
    AI・データ利活用研究会 第74回, Jul. 2024

  • ネットワークサイエンスから見た料理のレシピ
    Kobe Studio Seminar for Studies ワークショップ: 料理のレシピと映像制作，その数理的な展開, May 2024

  • Computing bipath persistent homology
    青木 利隆, ESCOLAR Emerson Gaw, 多田 駿介
    日本数学会2024年度年会, Mar. 2024, 大阪公立大学

  • Computing bipath persistent homology
    青木 利隆, ESCOLAR Emerson Gaw, 多田 駿介
    日本応用数理学会 第20回 研究部会連合発表会, Mar. 2024, 長岡技術科学大学

  • データの「穴」に着目：パーシステントホモロジーについて
    エスカラ エマソン ガウ
    Kobe Studio Seminar for Studies ワークショップ: 数学，計算機，そしてデータサイエンス, Feb. 2024

  • 料理空間の位相的データ解析 ~ 新しい料理の提案への応用 ~
    Emerson Gaw ESCOLAR, 湯浅 正洋
    日本数学会応用数学分科 2023年度応用数学合同研究集会, Dec. 2023

  • On interval covers and resolutions of persistence modules
    Emerson Gaw ESCOLAR
    Magnitude 2023, Dec. 2023

  • 位相的データ解析で生成した料理レシピの調理と有用性
    湯浅正洋, Emerson Gaw ESCOLAR
    日本調理科学会近畿支部第49回研究発表会, Dec. 2023

  • リスク認知地図の新たな表現に関する試み
    村山留美子, Emerson G. ESCOLAR
    日本リスク学会 2023年度年次大会, Nov. 2023

  • A topological analysis of the space of recipes
    Emerson Gaw ESCOLAR, 湯浅 正洋
    日本数学会 2023 年度秋季総合分科会 応用数学分科会, Sep. 2023

  • On Interval Global Dimension of Posets: a Characterization of Case 0
    青木 利隆, ESCOLAR, Emerson Gaw, 多田 駿介
    日本数学会 2023 年度秋季総合分科会 代数学分科会, Sep. 2023

  • On interval global dimension of posets: a characterization of case 0
    多田 駿介, 青木 利隆, Emerson Gaw Escolar
    第 55 回環論および表現論シンポジウム, Sep. 2023

  • Approximation by interval-decomposables and interval resolutions of 2D persistence modules
    Hideto Asashiba, Emerson G. Escolar, Ken Nakashima, Michio Yoshiwaki
    TDA Week 2023, Aug. 2023

  • On Interval Resolutions of Persistence Modules
    Emerson G. Escolar
    SIAM Conference on Applied Algebraic Geometry (AG23) Minisymposium Recent Developments in Multi-Parameter Persistence, Jul. 2023, Eindhoven University of Technology

  • Introduction to Topological Data Analysis
    Emerson G. Escolar
    Kobe Studio Seminar for Studies from Trials, May 2023

  • Persistent Homology and Representation Theory
    Emerson G. Escolar
    Meets Series Topology Meets Data, Jan. 2023, ⼀橋講堂

  • Multiparameter persistent homology and interval approximations
    Emerson G. Escolar
    General Topology Symposium 2022, Dec. 2022

  • Mapping Firms' Locations in Technological Space: A Topological Analysis of Patent Statistics
    Emerson G. Escolar
    ICMMA 2022 International Conference on Topology and its Applications to Engineering and Life Science, Nov. 2022, Meiji Institute for Advanced Study of Mathematical Sciences Center for Mathematical Modeling and Applications, online

  • Introduction to Topological Data Analysis and Research on Interval Resolutions of Multiparameter Persistence
    Emerson G. Escolar
    九州⼤学 IMI 共同利⽤・短期共同研究、機械学習への組合せ論的アプローチ（非公開部), Sep. 2022

  • Approximation by interval-decomposables and interval resolutions of 2D persistence modules
    中島 健, 浅芝 秀人, Emerson G. Escolar, 吉脇 理雄
    日本数学会2022年度秋季総合分科会, Sep. 2022, 北海道大学

  • 可換梯子型パーシステンス加群の表現論的区間分解の計算法
    中島 健, 浅芝 秀人, Emerson G. Escolar, 吉脇 理雄
    日本応用数理学会2022年度年会, Sep. 2022, 北海道大学

  • Approximation by interval-decomposables and interval resolutions of persistence modules
    Emerson G. Escolar, Hideto Asashiba, Ken Nakashima, Michio Yoshiwaki
    The 54th Symposium on Ring Theory and Representation Theory, Sep. 2022

  • Interleavings and Matchings as Representations
    Emerson G. Escolar, Killian Meehan, Michio Yoshiwaki
    日本応用数理学会 第18回 研究部会連合発表会, Mar. 2022

  • Interval Decomposability/Approximation of Persistence Modules, and their Computation
    Emerson G. Escolar
    TDA Week, Feb. 2022

  • Interval Decomposability/Approximation of Persistence Modules, and their Computation
    Emerson G. Escolar
    Asia Pacific Seminar on Applied Topology and Geometry, Jan. 2022

  • Introduction to Topological Data Analysis
    Emerson G. Escolar
    Ateneo de Manila University, School of Science & Engineering, Department of Mathematics, Mathematics Research Seminar Series, Oct. 2021

  • Interval Decomposability/Approximation of Persistence Modules, and their Computation
    Emerson G. Escolar
    Topics on Topological Data Analysis, Aug. 2021

  • Mapping Firms' Locations in Technological Space: A Topological Analysis of Patent Statistics
    Emerson G. Escolar
    ILJU POSTECH MINDS Workshop on Topological Data Analysis and Machine Learning, Jul. 2021

  • 区間表現による2Dパーシステント表現の近似
    中島 健, 浅芝 秀人, Emerson G. Escolar, 吉脇 理雄
    日本応用数理学会 2021年 研究部会連合発表会, Mar. 2021

  • The Whole in the Parts: Putting nD Persistence Modules Inside Indecomposable (n+1)D Ones
    M. Buchet, E.G. Escolar
    日本応用数理学会 2021年 研究部会連合発表会, Mar. 2021, online

  • Introduction to Topological Data Analysis: Ideas and Applications
    Emerson G. Escolar
    departmental colloquium talk (2021 in-house training program), Jan. 2021, Department of Mathematics and Computer Science, College of Science, University of the Philippines Baguio (online)

  • Mapping Firms' Locations in Technological Space: A Topological Analysis of Patent Statistics
    Emerson G. Escolar, 平岡裕章, 伊神満, Yasin Ozcan
    [2nd AIP Open Seminar] Talks by Topological Data Analysis Team, Nov. 2020, Online

  • Mapperを用いた企業の技術戦略の位相的データ解析
    Emerson G. Escolar, 平岡裕章, 伊神満, Yasin Ozcan
    日本応用数学会2020年度年会, 正会員主催OS：位相的データ解析, Sep. 2020, online, zoom

  • Mapperを用いた企業の技術戦略の位相的データ解析
    Emerson G. Escolar, 平岡裕章, 伊神満, Yasin Ozcan
    TDA for Applications - Tutorial & Workshop, Jun. 2020, online

  • Mapping firms’ locations in technological space: a topological analysis of patent statistics
    Emerson G. Escolar, 平岡裕章, 伊神満, Yasin Ozcan
    Kyoto University Applied Mathematics Seminar, May 2020, Kyoto University, Kyoto

  • Mapping firms’ locations in technological space: A topological analysis of patent statistics
    Emerson G. Escolar, 平岡裕章, 伊神満, Yasin Ozcan
    日本数学会 2020年度年会, Mar. 2020, （会は中止だが、発表は成立）

  • 企業の技術戦略の位相的データ解析
    Emerson G. Escolar, 平岡裕章, 伊神満, Yasin Ozcan
    2019年度応用数学合同研究集会, Dec. 2019, 龍谷大学

  • Every 1D Persistence Module is a Restriction of Some Indecomposable 2D Persistence Module
    M. Buchet, E.G. Escolar
    ICIAM 2019 Thematic Minisymposium: "Geometry and Topology in Data Analysis", Jul. 2019, Valencia, Spain

  • Every 1D Persistence Module is a Restriction of Some Indecomposable 2D Persistence Module
    M. Buchet, E.G. Escolar
    Workshop "Computational Applications of Quiver Representations: TDA and QPA", May 2019, Bielefeld University, Bielefeld, Germany

  • Every 1D Persistence Module is a Restriction of Some Indecomposable 2D Persistence Module
    M. Buchet, E.G. Escolar
    MSJ Spring Meeting 2019, Mar. 2019, Tokyo Institute of Technology

  • Every 1D Persistence Module is a Restriction of Some Indecomposable 2D Persistence Module
    M. Buchet, E.G. Escolar
    Workshop on Applied Topology 2019, Jan. 2019, Kyoto

  • Realization of Indecomposable Persistence Modules of Large Dimension
    M. Buchet, E.G. Escolar
    Applied Geometry & Topology 2018, Jul. 2018, Kyoto University, Kyoto

  • Computing Indecomposable Decompositions of Persistence Modules
    guest lecture at Institute of Geometry, Jun. 2018, TU Graz, Graz, Austria

  • Realizations of Indecomposable Persistence Modules of Arbitrarily Large Dimension
    M. Buchet, E.G. Escolar
    34th International Symposium on Computational Geometry (SoCG 2018), Jun. 2018, Budapest, Hungary

  • Vietoris-Rips Realization of Indecomposable Persistence Modules of Arbitrarily Large Dimension
    M. Buchet, E.G. Escolar
    MSJ Spring Meeting 2018, Mar. 2018, The University of Tokyo

  • Representation Theory and Persistent Homology in TDA
    RIKEN-AIP Math Group Joint Seminar, Izuyama Kensyuu Center

  • Vietoris-Rips Realization of Indecomposable Persistence Modules of Arbitrarily Large Dimension
    M. Buchet, E.G. Escolar
    2017年度応用数学合同研究集会, Dec. 2017, 龍谷大学瀬田キャンパス

  • Vietoris-Rips Realization of Indecomposable Persistence Modules of Large Dimension
    M. Buchet, E.G. Escolar
    Applied Algebraic Topology 2017, Hokkaido University, Sapporo, Japan

  • An Introduction to Quiver Representation Theory for Topological Data Analysis
    E.G. Escolar
    A3 foresight workshop: Modeling and Simulation of Hierarchical and Heterogeneous Flow Systems with Applications to Materials Science III, Nov. 2016, Tohoku Forum for Creativity, Tohoku University

  • Persistence of Common Topological Features via Commutative Ladder Quivers
    E.G. Escolar, Y. Hiraoka
    EASIAM 2016, Jun. 2016, University of Macau, Macau, China

  • Introduction to representation theory for topological data analysis
    Emerson Gaw ESCOLAR
    A3 foresight winter school on Mathematics on Materials Science: Topological Data Analysis and Dynamics, Feb. 2016, AIMR, Tohoku University

  • Matrix Method for Persistence Modules on Commutative Ladders of Finite Type
    Minisymposium on Topological Data Analysis and Dynamics, 8th International Congress on Industrial and Applied Mathematics, Aug. 2015, Beijing, China

  • Morse Reduction for Persistence Modules on Commutative Ladders of Finite Type
    E.G. Escolar, Y. Hiraoka
    2014年度応用数学合同研究集会, Dec. 2014, 龍谷大学

  • Computing Persistence Modules of Quiver Complexes
    E.G. Escolar, Y. Hiraoka
    Short presentation (student session), Mathematics of Fluid Dynamics and Material Science, 1st Joint Conference of A3 Foresight Program, Nov. 2014, International Convention Center Jeju, Korea

  • Optimal Cycles in Homology via Linear Programming
    E.G. Escolar, Y. Hiraoka
    IMI Workshop on Optimization in the Real World, Oct. 2014, Kyushu University

  • Computing Persistence Modules on Commutative Ladders of Finite Type
    E.G. Escolar, Y. Hiraoka
    MSJ Autumn Meeting 2014, Sep. 2014, Hiroshima University

  • Computing Persistence Modules on Commutative Ladder Quivers of Finite Type
    E.G. Escolar, Y. Hiraoka
    The 4th International Congress on Mathematical Software. Session: Software for Computational Topology, Hanyang University, Seoul, Korea

  • Computing Persistence Modules on Commutative Ladder Quivers of Finite Type
    E.G. Escolar, Y. Hiraoka
    Workshop on Topological Data Analysis, Department of Mathematics. Kyoto University

  • Optimal Cycles of Homology Groups
    Intersection of Pure Mathematics and Applied Mathematics IV, Feb. 2014, Kyushu University, Fukuoka, Japan

  • Morse Reduction for Zigzag Complexes
    E.G. Escolar, Y. Hiraoka
    AKOOS-PNU International Conference 2014, Busan National University, Busan, South Korea

  • Morse Reduction for Zigzag Complexes
    E.G. Escolar, Y. Hiraoka
    The 9th East Asia SIAM Conference, The 2nd Conference on Industrial and Applied Mathematics (EASIAM-CIAM 2013), Institut Teknologi Bandung, Bandung, West Java, Indonesia

■ Affiliated Academic Society
  • 日本応用数理学会

  • 日本数学会

■ Works
■ Research Themes
  • トポロジカルな視点による様々なプロセスの新しいデータ解析技術の開発
    Escolar EmersonGaw
    日本学術振興会, 科学研究費助成事業, 基盤研究(C), 神戸大学, 01 Apr. 2024 - 31 Mar. 2027

  • Establishing data descriptive science and its cross-disciplinary applications
    白井 朋之, 本多 正平, Escolar EmersonGaw
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Transformative Research Areas (A), Grant-in-Aid for Transformative Research Areas (A), Kyushu University, 16 Jun. 2022 - 31 Mar. 2027

  • 高次元のリスク認知構造の新たな表現に関する検討
    村山 留美子, Escolar EmersonGaw
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