# Haruhisa ENOMOTO

I am Haruhisa Enomoto (榎本 悠久 in Japanese), a postdoc at Graduate School of Science, Osaka Metropolitan University in Japan.

**Since April 2022, My e-mail address and affiliation has changed since the name of my university has changed.**

**New E-mail**: henomoto [at] omu.ac.jp

(Old1: the35883 [at] osakafu-u.ac.jp, *I cannot use this address!!!!*)

(Old2 : m16009t [at] math.nagoya-u.ac.jp, I can still use and check this Nagoya e-mail address)

For more details, see CV.

## Research Areas

- Representation theory of algebras (artin algebras, noetherian algebras)
- Homological algebra

## Research Interests

- Auslander-Reiten theory (via functor categories)
- Quillen’s exact categories, extriangulated categories
- Subcategories of module categories (classifications, their properties as exact categories, and combinatorics of the poset of subcategories)
- $\tau$-tilting theory
- Combinatorial & computational aspects

## Position

JSPS Research Fellow (PD) at Osaka Metropolitan University. My host researcher is Yuya Mizuno.

## Update history

- 2022-11-22: I added a
**counter-example**of a Problem about the lattice-theoretical characterization of the lattice of torsion classes, and add a small Program used to find it. - 2022-09-08: I gave a talk The Grothendieck monoid of an extriangulated category
- 2022-09-10: AR quiver calculator is now (probably) supported on Mac!
- 2022-09-02: I gave a talk Combinatorics of lattices of subcategories of a module category
- 2022-08-31: New preprint Image-extension-closed subcategories of module categories of hereditary algebras (with A. Sakai)!
- 2022-08-13:
**Major update on AR quiver calculator!**. Now this can compute various subcats (torsion classes, wide subcats, ICE-closed,…) and their Ext-projectives from your AR quiver visually! - 2022-08-08: New preprint Grothendieck monoids of extriangulated categories (with S. Saito)!
- 2022-07-01: I gave a talk From the lattice of torsion classes to wide and ICE-closed subcategories
- 2022-06-03: Add
**Representation theory of algebra in Lean**to program. - 2022-05-16:
**My e-mail and affiliation has changed!**since the name of my university has changed. - 2022-03-20: I gave a talk The lattice of wide subcategories.
- 2022-01-22: I gave a talk Exact-categorical properties of subcategories of abelian categories.
- 2022-01-07:
- Rigid ICE in quiver paper, JHP in exact cat paper were accepted, and update some bibliography.
*New preprint*on arXiv! From the lattice of torsion classes to the posets of wide subcategories and ICE-closed subcategories- I gave a flash talk on the above paper.

- 2021-11-17: My Monobrick paper was accepted and published.
- 2021-09-24: Updated Problem page (this page will be updated occasionally).
- 2021-09-08: I gave a talk Some classes of subcategories of module categories: classifications and the relation between them.
- 2021-08-24: Updated AR quiver calculator to ver 0.2.0 (computations for triangulated categories added).
- 2021-08-21: I add a program AR quiver calculator, which computes the dimension of Hom from the inputted Auslander-Reiten quiver.
- 2021-08-07: I added Problem page, where I raise some questions which I’m interested in but which I can’t solve.