Research output per year
Research output per year
Personal profile
Research Interests
My research is motivated by the mathematics of quantum field theory, particularly conformal field theory. Mathematical topics which arise include operator algebras, subfactors, geometric field theories, quantum algebra and tensor categories, vertex operator algebras, and complex function theory. I am particularly interested in analytic questions arising out of the interactions between these mathematical fields which are facilitated by QFT.
More information is available at http://math.tener.cc.
Education/Academic qualification
Mathematics, PhD, Construction of the unitary free fermion Segal conformal field theory, University of California at Berkeley
Award Date: 14 May 2014
Research student supervision
- Registered to supervise
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Research output
- 16 Article
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Fusion and Positivity in Chiral Conformal Field Theory
Tener, J. E., 2024, In: Geometric and Functional Analysis. 34, p. 1226-1296 71 p.Research output: Contribution to journal › Article › peer-review
Open Access -
Unitary Anchored Planar Algebras
Henriques, A., Penneys, D. & Tener, J., Jun 2024, In: Communications in Mathematical Physics. 405, 6, 137.Research output: Contribution to journal › Article › peer-review
Open Access -
Planar Algebras in Braided Tensor Categories
Henriques, A. G., Penneys, D. & Tener, J., Feb 2023, In: Memoirs of the American Mathematical Society. 282, 1392, p. 1-112 112 p.Research output: Contribution to journal › Article › peer-review
Open Access8 Citations (Scopus) -
Unitary Vertex Algebras and Wightman Conformal Field Theories
Raymond, C., Tanimoto, Y. & Tener, J. E., Oct 2022, In: Communications in Mathematical Physics. 395, 1, p. 299-330 32 p.Research output: Contribution to journal › Article › peer-review
Open Access4 Citations (Scopus) -
Classification of extremal vertex operator algebras with two simple modules
Grady, J. C., Lam, C. H., Tener, J. E. & Yamauchi, H., 1 May 2020, In: Journal of Mathematical Physics. 61, 5, 5121446.Research output: Contribution to journal › Article › peer-review
Open Access6 Citations (Scopus)
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Physical realisation of enriched quantum symmetries
Tener, J. (PI)
8/02/21 → 18/12/25
Project: Research
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Quadratic fusion categories: a new frontier in subfactor theory
Tener, J. (PI)
29/09/20 → 31/12/21
Project: Research