Dipartimento di Matematica,
Università di Roma "Tor Vergata", Office 1122,

**e-mail: **hoyt at_mark mat.uniroma2.it

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I am a mathematician at Tor Vergata University.

I am interested in operator algebras, representation theory and quantum integrable systems in connection with algebraic quantum field theory (AQFT).

My best papers are the following, where **I constructed new (or possibly new)
Haag-Kastler nets, Wightman fields or Schwinger functions**.

- Construction of new KMS states (plus thermal completion)
- Twisting of the free field by symmetry
- Construction of new ground states (plus modular covariance)
- Unitarity and strong locality of a family of VOA
- S-matrix bootstrap of meromorphic S-matrices (will be completed in a forthcoming work)
- Schwinger functions satisfying the OS axiom from unitary full VOA

Here is a press release (in German) written by Henning Rehren on my research project around 2013.

I carried out a research project funded by the program "Rita Levi Montalcini" (University news).

See also my contribution to the ICMP12 proceedings.

I am contributing to mathlib in Lean, a library of mathematical definitions and results in a formal language.

I am hoping to add stuff related with QFT, such as the spectral theory, operator algebras, unitary representations of Lie groups, complex analysis with several variables,
(operator-valued) distributions, vertex operator algebras and so on. Any contribution is much appreciated!

- Curriculum Vitae
- List of my publications with abstracts and comments
- List of my talks with slides
- List of workshops and conferences I (co-)organized
- Papers I recently read (not (only) on AQFT)
- Articles on Algebraic QFT available online
- A random collection of links on mathematical writing/presentation
- Various links

- Mathematics
- Physics
- not on the DOAJ list:
- A list by NWEJM

Github: yoh-tanimoto