Emerson Gaw Escolar

Profile Information

Affiliation: Assistant Professor, Graduate School of Human Development and Environment, Kobe University

Degree: Mathematics(Kyushu University)

ORCID ID: https://orcid.org/0000-0003-4751-1521
J-GLOBAL ID: 201901011676370495
researchmap Member ID: B000366889

External link: https://emerson-escolar.github.io

Research Interests

Research Areas

Research History

Oct, 2020 - Present

Assistant Professor, Graduate School of Human Development and Environment, Kobe University
Apr, 2018 - Sep, 2020

Postdoctoral Researcher, Center for Advanced Intelligence Project, RIKEN
Apr, 2017 - Mar, 2018

Research Assistant, WPI-AIMR, Tohoku University
Apr, 2016 - Mar, 2017

Research Assistant, WPI-AIMR, Tohoku University
Jun, 2010 - Mar, 2012

Lecturer (part-time), Department of Mathematics, Ateneo de Manila University

Education

Apr, 2013 - Mar, 2016

PhD Mathematics, Faculty of Mathematics, Kyushu University
Apr, 2012 - Mar, 2013

(Research Student), Faculty of Mathematics, Kyushu University
Jun, 2010 - Mar, 2012

Master of Science in Mathematics, Department of Mathematics, Ateneo de Manila University

Committee Memberships

Jan, 2023 - Present

Speaker Selection Committee, Applied Algebraic Topology Research Network (AATRN)
Apr, 2021 - Present

JSIAM Letters Associate Editor
2022 - 2023

Local Scientific Program Committee, 10th International Congress on Industrial and Applied Mathematics (ICIAM 2023 Tokyo)
2022 - 2023

"Special Section on Topological Data Analysis". (April issue 2023) Associate editor, Nonlinear Theory and Its Applications, IEICE

Awards

Oct, 2023

全学共通教育ベストティーチャー賞, 神戸大学大学教育推進機構

エスカラエマソンガウ

Papers

Mapping firms' locations in technological space: A topological analysis of patent statistics

Emerson G. Escolar, Yasuaki Hiraoka, Mitsuru Igami, Yasin Ozcan

RESEARCH POLICY, 52(8), Oct, 2023 Peer-reviewed
Approximation by interval-decomposables and interval resolutions of persistence modules *

Hideto Asashiba, Emerson G. Escolar, Ken Nakashima, Michio Yoshiwaki

JOURNAL OF PURE AND APPLIED ALGEBRA, 227(10), Oct, 2023 Peer-reviewedCorresponding author
On approximation of 2D persistence modules by interval-decomposables

Hideto Asashiba, Emerson G. Escolar, Ken Nakashima, Michio Yoshiwaki

Journal of Computational Algebra, Sep, 2023 Peer-reviewedCorresponding author
Resolution of the curse of dimensionality in single-cell RNA sequencing data analysis

Yusuke Imoto, Tomonori Nakamura, Emerson G Escolar, Michio Yoshiwaki, Yoji Kojima, Yukihiro Yabuta, Yoshitaka Katou, Takuya Yamamoto, Yasuaki Hiraoka, Mitinori Saitou

Life Science Alliance, 5(12) e202201591-e202201591, Dec, 2022 Peer-reviewed
Realizations of indecomposable persistence modules of arbitrarily large dimensions

Mickael Buchet, Emerson G. Escolar

Journal of Computational Geometry, 13(1) 298-326, Sep, 2022 Peer-reviewed
On Interval Decomposability of 2D Persistence Modules

Hideto Asashiba, Mickaël Buchet, Emerson G. Escolar, Ken Nakashima, Michio Yoshiwaki

Computational Geometry, 105-106 101879-101879, Apr, 2022 Peer-reviewed
Interleavings and matchings as representations

Emerson G. Escolar, Killian Meehan, Michio Yoshiwaki

Applicable Algebra in Engineering, Communication and Computing, Oct 23, 2021 Peer-reviewed
Every 1D persistence module is a restriction of some indecomposable 2D persistence module.

Mickaël Buchet, Emerson G. Escolar

J. Appl. Comput. Topol., 4(3) 387-424, 2020 Peer-reviewed
Matrix method for persistence modules on commutative ladders of finite type

Asashiba Hideto, Escolar Emerson G, Hiraoka Yasuaki, Takeuchi Hiroshi

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 36(1) 97-130, Jan, 2019 Peer-reviewed
Realizations of Indecomposable Persistence Modules of Arbitrarily Large Dimension.

Mickaël Buchet, Emerson G. Escolar

34th International Symposium on Computational Geometry, SoCG 2018, June 11-14, 2018, Budapest, Hungary, 15:1-15:13, 2018 Peer-reviewed
Hierarchical structures of amorphous solids characterized by persistent homology

Yasuaki Hiraoka, Takenobu Nakamura, Akihiko Hirata, Emerson G. Escolar, Kaname Matsue, Yasumasa Nishiura

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 113(26) 7035-7040, Jun, 2016 Peer-reviewed
Optimal Cycles for Persistent Homology Via Linear Programming

Emerson G. Escolar, Yasuaki Hiraoka

OPTIMIZATION IN THE REAL WORLD: TOWARD SOLVING REAL-WORLD OPTIMIZATION PROBLEMS, 13 79-96, 2016 Peer-reviewed
Persistence of Common Topological Structures by Commutative Triple Ladder Quiver

Emerson G. Escolar, Yasuaki Hiraoka

MATHEMATICAL CHALLENGES IN A NEW PHASE OF MATERIALS SCIENCE, 166 69-82, 2016 Peer-reviewed
Persistence Modules on Commutative Ladders of Finite Type

Emerson G. Escolar, Yasuaki Hiraoka

DISCRETE & COMPUTATIONAL GEOMETRY, 55(1) 100-157, Jan, 2016 Peer-reviewed
Persistent homology and many-body atomic structure for medium-range order in the glass

Takenobu Nakamura, Yasuaki Hiraoka, Akihiko Hirata, Emerson G. Escolar, Yasumasa Nishiura

NANOTECHNOLOGY, 26(30) 304001, Jul, 2015 Peer-reviewed
Computing Optimal Cycles of Homology Groups

Emerson G. Escolar, Yasuaki Hiraoka

A Mathematical Approach to Research Problems of Science and Technology - Theoretical Basis and Developments in Mathematical Modeling, 101-118, 2014
Morse Reduction for Zigzag Complexes

Emerson Escolar, Yasuaki Hiraoka

Journal of the Indonesian Mathematical Society, 20(1) 47-75, 2014 Peer-reviewed
Computing persistence modules on commutative ladders of finite type

Emerson G. Escolar, Yasuaki Hiraoka

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 8592 144-151, 2014

Misc.

パーシステントホモロジーと表現論

E.G. エスカラ

数理科学 2023年6月号Ｎｏ.720, 71-94, Jun, 2023 InvitedLead author
The Whole in the Parts: Putting $n$D Persistence Modules Inside Indecomposable $(n + 1)$D Ones

Mickaël Buchet, Emerson G. Escolar

Dec 4, 2020
22aAF-12 Description of Medium range order by Persistent homology

Nakamura T., Hiraoka Y., Hirata A., Escolar E., Matsue K., Nishiura Y.

Meeting Abstracts of the Physical Society of Japan, 70 2947-2947, 2015
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

Meeting abstracts of the Physical Society of Japan, 69(2) 128-128, Aug 22, 2014

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 (Role: Joint author)

サイエンス社, Sep, 2023 (ISBN: 9784781915807)

Presentations

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 18, 2024
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 4, 2024
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 1, 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 15, 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 3, 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 11, 2023
A topological analysis of the space of recipes

Sep 22, 2023
On Interval Global Dimension of Posets: a Characterization of Case 0

Sep 22, 2023
On interval global dimension of posets: a characterization of case 0

Sep 5, 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 3, 2023 Invited
On Interval Resolutions of Persistence Modules

Emerson G. Escolar

SIAM Conference on Applied Algebraic Geometry (AG23) Minisymposium Recent Developments in Multi-Parameter Persistence, Jul 11, 2023 Invited
Introduction to Topological Data Analysis

Emerson G. Escolar

Kobe Studio Seminar for Studies from Trials, May 26, 2023 Invited
Persistent Homology and Representation Theory

Meets Series Topology Meets Data, Jan 10, 2023 Invited
Multiparameter persistent homology and interval approximations

Emerson G. Escolar

General Topology Symposium 2022, Dec 7, 2022 Invited
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 29, 2022, Meiji Institute for Advanced Study of Mathematical Sciences Center for Mathematical Modeling and Applications Invited
Introduction to Topological Data Analysis and Research on Interval Resolutions of Multiparameter Persistence

Emerson G. Escolar

Sep 22, 2022 Invited
Approximation by interval-decomposables and interval resolutions of 2D persistence modules

Sep 13, 2022
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 8, 2022
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 6, 2022
Interleavings and Matchings as Representations

Emerson G. Escolar, Killian Meehan, Michio Yoshiwaki

Mar 9, 2022

Teaching Experience

Professional Memberships

Works

OptiPersLP: optimal cycles in persistence via linear programming

Emerson Gaw ESCOLAR

Software
gyoza: commutative ladder persistence by solving matrix problems

Emerson Gaw ESCOLAR

Software
pmgap

Emerson Gaw ESCOLAR

Software

Research Projects

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

科学研究費助成事業, 基盤研究(C), 日本学術振興会, Apr, 2024 - Mar, 2027

Escolar EmersonGaw
Establishing data descriptive science and its cross-disciplinary applications

Grants-in-Aid for Scientific Research Grant-in-Aid for Transformative Research Areas (A), Grant-in-Aid for Transformative Research Areas (A), Japan Society for the Promotion of Science, Jun, 2022 - 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

科学研究費助成事業, 挑戦的研究(萌芽), 日本学術振興会, Jun, 2023 - Mar, 2026

村山留美子, Escolar EmersonGaw
位相的データ解析による料理空間の構造解明とおいしい新料理の客観的な提案への応用

第40回研究助成, 公益財団法人カシオ科学振興財団, Dec, 2022 - Jan, 2024

ESCOLAR Emerson Gaw, 湯浅正洋

Academic Activities

Asia Pacific Seminar on Applied Topology and Geometry

Planning, management, etc., Panel moderator, session chair, etc.

Aug, 2020 - Present
パーシステントホモロジーと表現論2024

Planning, management, etc., Panel moderator, session chair, etc.

(オンライン開催（Zoom）), Feb 22, 2024 - Feb 22, 2024
TDA week 2023

Planning, management, etc., Panel moderator, session chair, etc.

Kyoto University Institute for Advanced Study (Kyoto University), Jul 31, 2023 - Aug 4, 2023
パーシステントホモロジーと表現論

Planning, management, etc., Panel moderator, session chair, etc.

(オンライン開催（Zoom）), Feb 15, 2023 - Feb 16, 2023
AATRN Poster Session, Joint with APATG

Planning, management, etc., Panel moderator, session chair, etc.

Sep 20, 2022 - Sep 20, 2022
TDA Week (2022)

Planning, management, etc., Panel moderator, session chair, etc.

Feb 14, 2022 - Feb 18, 2022
4th JST Math Open Problems Workshop

Planning, management, etc.

Sep 19, 2020 - Sep 21, 2020
Workshop on Applied Topology 2019

Planning, management, etc., Other

Jan 7, 2019 - Jan 11, 2019
6th Annual Minisymposium on Computational Topology

Planning, management, etc.

Jul 4, 2017 - Jul 7, 2017

Social Activities

The Shape of Data: An Introduction to Topological Data Analysis

Lecturer

Jan 9, 2022 - Jan 9, 2022

Profile Information

Research Interests

Research Areas

Research History

Education

Committee Memberships

Awards

Papers

Misc.

Books and Other Publications

Presentations

Teaching Experience

Professional Memberships

Works

Research Projects

Academic Activities

Social Activities

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