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.