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Dr Simon Wood
Reader
- WoodSI@caerdydd.ac.uk
- +44 29208 75312
- Abacws, Ystafell 3.60, Ffordd Senghennydd, Cathays, Caerdydd, CF24 4AG
Trosolwyg
Research Group
Geometry, Algebra, Mathematical Physics & Topology Research Group.
Research Interests
My research is mostly in algebra and mathematical physics. Specifically, the mathematics of 2 dimensional conformal quantum field theories and all their myriad connections to Lie theory, vertex operator algebras, representation theory, modular forms and modular tensor categories to name but a few.
Cyhoeddiad
2022
- Kawasetsu, K., Ridout, D. and Wood, S. 2022. Admissible-level sl3 minimal models. Letters in Mathematical Physics 112(5), article number: 96. (10.1007/s11005-022-01580-9)
- Allen, R. and Wood, S. 2022. Bosonic ghostbusting: the bosonic ghost vertex algebra admits a logarithmic module category with rigid fusion. Communications in Mathematical Physics 390, pp. 959-1015. (10.1007/s00220-021-04305-6)
2020
- Wood, S. 2020. Admissible level osp(1|2) minimal models and their relaxed highest weight modules. Transformation Groups 25, pp. 887-943. (10.1007/s00031-020-09567-3)
2019
- Lechner, G., Pennig, U. and Wood, S. 2019. Yang-Baxter representations of the infinite symmetric group. Advances in Mathematics 355, article number: 106769. (10.1016/j.aim.2019.106769)
- Creutzig, T., Liu, T., Ridout, D. and Wood, S. 2019. Unitary and non-unitary N = 2 minimal models. Journal of High Energy Physics 2019(6), article number: 24. (10.1007/JHEP06(2019)024)
2018
- Snadden, J., Ridout, D. and Wood, S. 2018. An admissible level osp (1|2)-model: modular transformations and the Verlinde formula. Letters in Mathematical Physics 108(11), pp. 2363-2423. (10.1007/s11005-018-1097-5)
- Ridout, D., Siu, S. and Wood, S. 2018. Singular vectors for the WN algebras. Journal of Mathematical Physics 59(3), article number: 31701. (10.1063/1.5019278)
2017
- Blondeau-Fournier, O., Mathieu, P., Ridout, D. and Wood, S. 2017. Superconformal minimal models and admissible Jack polynomials. Advances in Mathematics 314, pp. 71-123. (10.1016/j.aim.2017.04.026)
- Creutzig, T., Milas, A. and Wood, S. 2017. On regularised quantum dimensions of the singlet vertex operator algebra and false theta functions. International Mathematics Research Notices 2017(5), pp. 1390-1432. (10.1093/imrn/rnw037)
2016
- Blondeau-Fournier, O., Mathieu, P., Ridout, D. and Wood, S. 2016. The super-Virasoro singular vectors and Jack superpolynomials relationship revisited. Nuclear Physics B 913, pp. 34-63. (10.1016/j.nuclphysb.2016.09.003)
2015
- Tsuchiya, A. and Wood, S. 2015. On the extended W-algebra of type sl2 at positive rational level. International Mathematics Research Notices 2015(14), pp. 5357-5435. (10.1093/imrn/rnu090)
- Ridout, D. and Wood, S. 2015. Relaxed singular vectors, Jack symmetric functions and fractional level sl(2) models. Nuclear Physics B 894, pp. 621-664. (10.1016/j.nuclphysb.2015.03.023)
- Ridout, D. and Wood, S. 2015. Bosonic ghosts at c = 2 as a logarithmic CFT. Letters in Mathematical Physics 105, pp. 279-307. (10.1007/s11005-014-0740-z)
- Ridout, D. and Wood, S. 2015. The Verlinde formula in logarithmic CFT. Journal of Physics: Conference Series 597, article number: 12065. (10.1088/1742-6596/597/1/012065)
- Ridout, D. and Wood, S. 2015. From Jack polynomials to minimal model spectra. Journal of Physics A: Mathematical and Theoretical 48(4), article number: 45201. (10.1088/1751-8113/48/4/045201)
2014
- Creutzig, T., Ridout, D. and Wood, S. 2014. Coset constructions of logarithmic (1, p) models. Letters in Mathematical Physics 104(5), pp. 553-583. (10.1007/s11005-014-0680-7)
- Ridout, D. and Wood, S. 2014. Modular transformations and Verlinde formulae for logarithmic (p+,p_)-models. Nuclear Physics B 880, pp. 175-202. (10.1016/j.nuclphysb.2014.01.010)
- Runkel, I., Gaberdiel, M. R. and Wood, S. 2014. Logarithmic Bulk and Boundary Conformal Field Theory and the Full Centre Construction. Presented at: Conformal field theories and tensor categories workshop, Beijing, China, 14-18 June 2011 Presented at Bai, C. et al. eds.Conformal Field Theories and Tensor Categories: Proceedings of a Workshop Held at Beijing International Center for Mathematical Research. Mathematical Lectures from Peking University Berlin: Springer pp. 93-168., (10.1007/978-3-642-39383-9_4)
2013
- Tsuchiya, A. and Wood, S. 2013. The tensor structure on the representation category of the $\mathcal {W}_p$ triplet algebra. Journal of Physics A: Mathematical and Theoretical 46(44), article number: 445203. (10.1088/1751-8113/46/44/445203)
2011
- Gaberdiel, M. R., Runkel, I. and Wood, S. 2011. A modular invariant bulk theory for the \boldsymbol{c=0} triplet model. Journal of Physics A: Mathematical and Theoretical 44(1), article number: 15204. (10.1088/1751-8113/44/1/015204)
2010
- Wood, S. 2010. Fusion rules of the {\cal W}_{p,q} triplet models. Journal of Physics A: Mathematical and Theoretical 43(4), article number: 45212. (10.1088/1751-8113/43/4/045212)
2009
- Baumgartl, M. and Wood, S. 2009. Moduli webs and superpotentials for five-branes. Journal of High Energy Physics 2009(6), article number: 52. (10.1088/1126-6708/2009/06/052)
- Gaberdiel, M. R., Runkel, I. and Wood, S. 2009. Fusion rules and boundary conditions in thec= 0 triplet model. Journal of Physics A: Mathematical and Theoretical 42(32), article number: 325403. (10.1088/1751-8113/42/32/325403)
Articles
- Kawasetsu, K., Ridout, D. and Wood, S. 2022. Admissible-level sl3 minimal models. Letters in Mathematical Physics 112(5), article number: 96. (10.1007/s11005-022-01580-9)
- Allen, R. and Wood, S. 2022. Bosonic ghostbusting: the bosonic ghost vertex algebra admits a logarithmic module category with rigid fusion. Communications in Mathematical Physics 390, pp. 959-1015. (10.1007/s00220-021-04305-6)
- Wood, S. 2020. Admissible level osp(1|2) minimal models and their relaxed highest weight modules. Transformation Groups 25, pp. 887-943. (10.1007/s00031-020-09567-3)
- Lechner, G., Pennig, U. and Wood, S. 2019. Yang-Baxter representations of the infinite symmetric group. Advances in Mathematics 355, article number: 106769. (10.1016/j.aim.2019.106769)
- Creutzig, T., Liu, T., Ridout, D. and Wood, S. 2019. Unitary and non-unitary N = 2 minimal models. Journal of High Energy Physics 2019(6), article number: 24. (10.1007/JHEP06(2019)024)
- Snadden, J., Ridout, D. and Wood, S. 2018. An admissible level osp (1|2)-model: modular transformations and the Verlinde formula. Letters in Mathematical Physics 108(11), pp. 2363-2423. (10.1007/s11005-018-1097-5)
- Ridout, D., Siu, S. and Wood, S. 2018. Singular vectors for the WN algebras. Journal of Mathematical Physics 59(3), article number: 31701. (10.1063/1.5019278)
- Blondeau-Fournier, O., Mathieu, P., Ridout, D. and Wood, S. 2017. Superconformal minimal models and admissible Jack polynomials. Advances in Mathematics 314, pp. 71-123. (10.1016/j.aim.2017.04.026)
- Creutzig, T., Milas, A. and Wood, S. 2017. On regularised quantum dimensions of the singlet vertex operator algebra and false theta functions. International Mathematics Research Notices 2017(5), pp. 1390-1432. (10.1093/imrn/rnw037)
- Blondeau-Fournier, O., Mathieu, P., Ridout, D. and Wood, S. 2016. The super-Virasoro singular vectors and Jack superpolynomials relationship revisited. Nuclear Physics B 913, pp. 34-63. (10.1016/j.nuclphysb.2016.09.003)
- Tsuchiya, A. and Wood, S. 2015. On the extended W-algebra of type sl2 at positive rational level. International Mathematics Research Notices 2015(14), pp. 5357-5435. (10.1093/imrn/rnu090)
- Ridout, D. and Wood, S. 2015. Relaxed singular vectors, Jack symmetric functions and fractional level sl(2) models. Nuclear Physics B 894, pp. 621-664. (10.1016/j.nuclphysb.2015.03.023)
- Ridout, D. and Wood, S. 2015. Bosonic ghosts at c = 2 as a logarithmic CFT. Letters in Mathematical Physics 105, pp. 279-307. (10.1007/s11005-014-0740-z)
- Ridout, D. and Wood, S. 2015. The Verlinde formula in logarithmic CFT. Journal of Physics: Conference Series 597, article number: 12065. (10.1088/1742-6596/597/1/012065)
- Ridout, D. and Wood, S. 2015. From Jack polynomials to minimal model spectra. Journal of Physics A: Mathematical and Theoretical 48(4), article number: 45201. (10.1088/1751-8113/48/4/045201)
- Creutzig, T., Ridout, D. and Wood, S. 2014. Coset constructions of logarithmic (1, p) models. Letters in Mathematical Physics 104(5), pp. 553-583. (10.1007/s11005-014-0680-7)
- Ridout, D. and Wood, S. 2014. Modular transformations and Verlinde formulae for logarithmic (p+,p_)-models. Nuclear Physics B 880, pp. 175-202. (10.1016/j.nuclphysb.2014.01.010)
- Tsuchiya, A. and Wood, S. 2013. The tensor structure on the representation category of the $\mathcal {W}_p$ triplet algebra. Journal of Physics A: Mathematical and Theoretical 46(44), article number: 445203. (10.1088/1751-8113/46/44/445203)
- Gaberdiel, M. R., Runkel, I. and Wood, S. 2011. A modular invariant bulk theory for the \boldsymbol{c=0} triplet model. Journal of Physics A: Mathematical and Theoretical 44(1), article number: 15204. (10.1088/1751-8113/44/1/015204)
- Wood, S. 2010. Fusion rules of the {\cal W}_{p,q} triplet models. Journal of Physics A: Mathematical and Theoretical 43(4), article number: 45212. (10.1088/1751-8113/43/4/045212)
- Baumgartl, M. and Wood, S. 2009. Moduli webs and superpotentials for five-branes. Journal of High Energy Physics 2009(6), article number: 52. (10.1088/1126-6708/2009/06/052)
- Gaberdiel, M. R., Runkel, I. and Wood, S. 2009. Fusion rules and boundary conditions in thec= 0 triplet model. Journal of Physics A: Mathematical and Theoretical 42(32), article number: 325403. (10.1088/1751-8113/42/32/325403)
Conferences
- Runkel, I., Gaberdiel, M. R. and Wood, S. 2014. Logarithmic Bulk and Boundary Conformal Field Theory and the Full Centre Construction. Presented at: Conformal field theories and tensor categories workshop, Beijing, China, 14-18 June 2011 Presented at Bai, C. et al. eds.Conformal Field Theories and Tensor Categories: Proceedings of a Workshop Held at Beijing International Center for Mathematical Research. Mathematical Lectures from Peking University Berlin: Springer pp. 93-168., (10.1007/978-3-642-39383-9_4)
Ymchwil
Conferences organised
- 12/2017 LMS South West & South Wales Regional Meeting and Workshop: Algebraic Structures and Quantum Physics, Cardiff, UK
- 12/2016 Yang-Baxter Equations: A Tangle of Physics and Mathematics, Cardiff, UK
- 07/2015 The mathematics of conformal field theory, ANU, Canberra, Australia
Conference talks
- 2017 "Affine vertex operator superalgebras at admissible levels", Representation Theory XIV, Dubrovnik
- 2017 "What to expect from logarithmic conformal field theory", Operator algebras: subfactors and their applications, Isaac Newton Institute, Cambridge; Quantum Field Theory: Concepts, Constructions & Curved Spacetimes, York
- 2017 "Yang-Baxter equations and the symmetric groups", Melbourne
- 2017 "Fusion by hand: The NGK algorithm", Tensor Categories and Field Theory, Melbourne
- 2017 "Module classification in conformal field theory through symmetric polynomials", King's College London
- 2016 "Symmetric functions and their relation to free field vertex algebras", AMS Sectional Meeting, Stony Brook
- 2015, “Symmetric polynomials and modules over affine sl 2 at admissible levels”, Conference on Lie Algebras, Vertex Operator Algebras, and Related Topics, University of Notre Dame; Symmetries and Spinors Interactions between Geometry and Physics, University of Adelaide
- 2014, “From free field theory to symmetric polynomials”, Australia New Zealand Mathematics Convention 2014, Melbourne; String-Math 2014, University of Alberta, Edmonton
- 2014, “Rational logarithmic extensions of the minimal models and their simple modules”, Modern Trends in TQFT, Erwin Schrödinger Institute, Vienna
- 2013, “On the extended W-algebra of type sl2 at positive rational level”, String theory, Integrable systems and representation theory, RIMS Symposium, The University of Kyoto
- 2012, Understanding logarithmic CFT, String-Math 2012, Hausdorff center for Mathematics, Bonn
- 2011, Vertex operator algebras for logarithmic CFT, Vertex Operator Algebras, Finite Groups and Related Topics, Academia Sinica, Taipei
Addysgu
Current teaching:
Foundations of Mathematics I, 2017/18
Groups, 2017/18
Past teaching:
Foundations of Mathematics I, 2016/17
Honours course on Lie algebras and representation theory (2015/16, ANU)
Honours course on conformal field theory (2015, ANU)
Honours course on Lie algebras and representation theory (2014, ANU)
Bywgraffiad
Qualifications:
02/2011 Doctor of Science, ETH, Zurich
03/2008 Masters in Physics, ETH, Zurich
Previous Positions:
2014 - 2016, PostDoc, The Australian National University, Canberra, Australia
2011 - 2013, PostDoc, Kavli IPMU, University of Tokyo, Japan
Grants and awards:
2015, Discovery Project, Australian Research Council
2013, Discovery Early Career Researcher Award, Australian Research Council
2011, JSPS Postdoctoral Fellowship for Foreign Researchers, Japan Society of the Promotion of Science
2010, SNSF Fellowship for Prospective Researchers; Swiss National Science Foundation