Jireh Loreaux

Jireh Loreaux

Assistant Professor of Mathematics

Southern Illinois University Edwardsville


  • Operator theory
  • Operator algebras
  • Matrix theory


  • PhD in Mathematics, 2016

    University of Cincinnati

  • BA with honors in Mathematics, 2010

    University of Cincinnati


Search or sort by year by filtering publications.
(2020). On diagonals of operators: selfadjoint, normal and other classes. Operator Theory: Themes and Variations — Conference Proceedings, Timişoara, July 2–6, 2018, pp. 193–214.

diagonals of operators arXiv: 1905.09987 [math.FA]

(2018). Traces on ideals and the commutator property. Operator Theory: Themes and Variations — Conference Proceedings, Timişoara, June 27–July 2, 2016, pp. 147–155.

arXiv: 1712.06702 [math.FA]

Recent Posts


General software KeePassX — a (FOSS) password manager (based on KeePass by Bruce Schneier) GNU OS — a free/libre and open source (FOSS) operating system (less the kernel) Arch Linux — a GNU/Linux distribution with rolling releases and a Keep It Simple philosophy Emacs — the king of text editors Vim — a lesser, but still useful, text editor Git — a distributed version control system Magit — a Git Porcelain inside Emacs nXML — a new XML mode for Emacs LibreOffice — a (FOSS) office suite (for when someone sends you an evil .

How to install $\LaTeX$

So, you want to produce professional quality typesetting of mathematical formulae? Look no further. You will need a distribution of LaTeX. A tremendous resource in addition to (or perhaps even in place of) this article is the LaTeX Project.



Diagonals of operators

a project to characterize diagonals of operators, especially selfadjoint operators, in terms of spectral data.

Essential codimension

a project to generalize the notion of essential codimension due to Brown–Douglas–Fillmore, as well as to understand its ramifications.

Numerical range

This project investigates generalizations of the standard numerical range and their associated properties.