# CV

## Awards

• Nagoya University Outstanding Graduate Student Award (学術奨励賞 (Japanese)), October 2020.
• Master’s Thesis Award, Graduate School of Mathematics, Nagoya University, March 2018.

## Publications

• ### Classifying exact categories via Wakamatsu tilting

H. Enomoto, Classifying exact categories via Wakamatsu tilting, J. Algebra 485 (2017), 1--44.

• ### Classifications of exact structures and Cohen-Macaulay-finite algebras

H. Enomoto, Classifications of exact structures and Cohen-Macaulay-finite algebras, Adv. Math. 335 (2018), 838--877.

• ### Relations for Grothendieck groups and representation-finiteness

H. Enomoto, Relations for Grothendieck groups and representation-finiteness, J. Algebra 539 (2019), 152--176.

• ### Bruhat inversions in Weyl groups and torsion-free classes over preprojective algebras

H. Enomoto, Bruhat inversions in Weyl groups and torsion-free classes over preprojective algebras, Comm. Algebra 49 (2021), no. 5, 2156--2189.

• ### Classifying substructures of extriangulated categories via Serre subcategories

H. Enomoto, Classifying substructures of extriangulated categories via Serre subcategories, Appl. Categ. Structures 29 (2021), no. 6, 1005--1018.

• ### ICE-closed subcategories and wide τ-tilting modules

H. Enomoto, A. Sakai, ICE-closed subcategories and wide τ-tilting modules, Math. Z. 300 (2022), no. 1, 541--577.

• ### Schur’s lemma for exact categories implies abelian

H. Enomoto, Schur's lemma for exact categories implies abelian, J. Algebra 584 (2021), 260--269.

• ### Monobrick, a uniform approach to torsion-free classes and wide subcategories

H. Enomoto, Monobrick, a uniform approach to torsion-free classes and wide subcategories, Adv. Math. 393 (2021), Paper No. 108113, 41 pp.

• ### The Jordan-Hölder property and Grothendieck monoids of exact categories

H. Enomoto, The Jordan-Hölder property and Grothendieck monoids of exact categories, Adv. Math. 396 (2022), Paper No. 108167.

• ### Rigid modules and ICE-closed subcategories in quiver representations

H. Enomoto, Rigid modules and ICE-closed subcategories in quiver representations, J. Algebra 594 (2022), 364--388.

## Preprints

• ### Intervals of s-torsion pairs in extriangulated categories with negative first extensions

T. Adachi, H. Enomoto, M. Tsukamoto, Intervals of $s$-torsion pairs in extriangulated categories with negative first extensions, arXiv:2103.09549.

• ### From the lattice of torsion classes to the posets of wide subcategories and ICE-closed subcategories

H. Enomoto, From the lattice of torsion classes to the posets of wide subcategories and ICE-closed subcategories, arXiv:2201.00595.

## Talks

• ### On the representation theoretic realization of exact categories Permalink

March 06, 2017

Conference Talk at 22nd Conference on Algebra for Young Researchers, Okayama University, Japan

• ### Classification of exact structures and CM-finite Gorenstein algebras Permalink

April 28, 2017

Seminar Talk at Ring Theory and Representation Theory Seminar, Nagoya University, Japan

• ### Classifications of exact structures and Cohen-Macaulay finite algebras Permalink

October 09, 2017

Conference Talk at The 50th Symposium on Ring Theory and Representation Theory, University of Yamanashi, Japan

• ### Auslander-type correspondences for exact categories and cotilting modules Permalink

November 30, 2017

Seminar Talk at South Osaka Algebra Seminar, Osaka Prefecture University, Japan

• ### Exact categories in the representation theory of algebras Permalink

February 14, 2018

Conference Talk at Mathsci Freshman Seminar, Kyoto University, Japan

• ### Relations for Grothendieck groups and representation-finiteness Permalink

March 07, 2018

Conference Talk at 23rd Conference on Algebra for Young Researchers, Osaka University, Japan

• ### Classifications of exact structures and CM-finite Iwanaga-Gorenstein algebras Permalink

August 15, 2018

Conference Talk at International Conference on Representations of Algebras (ICRA 2018), Czech Technical University in Prague, Czech Republic

• ### Relations for Grothendieck groups and representation-finiteness

September 13, 2018

Seminar Talk at 27th Yamatokoriyama Seminar, National Institute of Technology, Nara College, Japan

• ### Relations for Grothendieck groups and representation-finiteness Permalink

September 20, 2018

Conference Talk at The 51st Symposium on Ring Theory and Representation Theory, Okayama University of Science, Japan

• ### The Jordan-Hölder property, Grothendieck monoids and Bruhat inversions Permalink

July 05, 2019

Seminar Talk at Ring Theory and Representation Theory Seminar, Nagoya University, Japan

• ### The Jordan-Hölder property, Grothendieck monoids and Bruhat inversions Permalink

August 28, 2019

Conference Talk at The 8th China-Japan-Korea International Conference on Ring Theory, Nagoya University, Japan

• ### The Jordan-Hölder property and Grothendieck monoids of exact categories Permalink

September 17, 2019

Conference Talk at MSJ Autumn Meeting 2019, Kanazawa University, Japan

• ### Bruhat inversions in the symmetric group and torsion-free classes over a type A quiver Permalink

October 28, 2019

Conference Talk at Representation Theory and its Combinatorial Aspects, Kyoto University, Japan

• ### Bruhat inversions in the symmetric group and torsion-free classes over a type A quiver Permalink

December 13, 2019

Conference Talk at Workshop on combinatorics and its related areas, Shinshu University, Japan

• ### Bruhat inversions in symmetric groups and representation theory of quivers of type A Permalink

February 11, 2020

Conference Talk at Mathsci Freshman Seminar 2020, Nagoya University, Japan

• ### Relative simples for preprojective algebras via root systems Permalink

March 10, 2020

Conference Talk at 25th Conference on Algebra for Young Researchers (canceled due to COVID-19), Nagoya University, Japan

• ### Bruhat inversions in Weyl groups and torsion-free classes over preprojective algebras Permalink

May 08, 2020

Seminar Talk at South Osaka Algebra Seminar, Online

• ### Simple objects in torsion-free classes over preprojective algebras of Dynkin type Permalink

June 18, 2020

Seminar Talk at FD Seminar, Online

• ### Monobricks

July 10, 2020

Seminar Talk at Ring Theory and Representation Theory Seminar, Online

• ### ICE-closed subcategories and wide tau-tilting modules Permalink

November 23, 2020

Conference Talk at International Conference on Representations of Algebras (ICRA 2020), Online

• ### ICE-closed subcategories over module categories Permalink

January 14, 2021

Seminar Talk at Kyoto Representation Theory Seminar, Online

• ### Computing various objects of an algebra from the poset of torsion classes Permalink

July 26, 2021

Seminar Talk at OCAMI Algebra Seminar, Online

• ### Some classes of subcategories of module categories: classifications and the relation between them Permalink

September 07, 2021

Conference Talk at The 53rd Symposium on Ring Theory and Representation Theory, Online (Yamaguchi University)

• ### Constructing the lattice of wide subcategories Permalink

January 04, 2022

Conference Talk at Flash Talks in Representation Theory at NTNU 2022, Online

• ### Exact-categorical properties of subcategories of abelian categories Permalink

January 18, 2022

Seminar Talk at Tokyo-Nagoya Algebra Seminar, Online

• ### The lattice of wide subcategories Permalink

March 20, 2022

Conference Talk at 26th Conference on Algebra for Young Researchers, Online