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Publications

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Kobak, P. Z. & Swann, A. F. (2022). The nonlinear graviton and related constructions: Exceptional Hyper-Kähler Reductions. In Further advances in twistor theory: Volume III: Curved twistor spaces (Vol. 3, pp. 81-84). CRC Press.
Swann, A. F. (2022). The nonlinear graviton and related constructions: Homogeneity of Twistor Spaces. In Further advances in twistor theory: Volume III: Curved twistor spaces (Vol. 3, pp. 50-53). CRC Press.
du Plessis, A. & Wall, C. T. C. (2018). The moduli space of binary quintics. European Journal of Mathematics, 4(1), 423-436. https://doi.org/10.1007/s40879-017-0187-8
Holm, H. & Jørgensen, P. (2022). The Q-shaped derived category of a ring. Journal of the London Mathematical Society, 106(4), 3263-3316. https://doi.org/10.1112/jlms.12662
Kristensen, S. & Laursen, M. L. (2023). The p-adic Duffin–Schaeffer Conjecture. Functiones et Approximatio Commentarii Mathematici, 68(1), 113-126. https://doi.org/10.7169/facm/2042
Martín Cabrera, F. & Swann, A. (2008). The intrinsic torsion of almost quaternion-Hermitian manifolds. Annales de l'Institut Fourier, 58(5), 1455-1497. https://doi.org/10.5802/aif.2390
Kobak, P. & Swann, A. (2001). The hyperKähler geometry associated to Wolf spaces. Bollettino della Unione Matematica Italiana B, 4(3), 587-595.
Ørsted, B., Somberg, P. & Soucek, V. (2009). The Howe duality for the Dunkl version of the Dirac operator. Advances in Applied Clifford Algebras, 19(2), 403-415. https://doi.org/10.1007/s00006-009-0166-3
Castrillón López, M., Gadea, P. M. & Swann, A. F. (2011). The homogeneous geometries of real hyperbolic space. Department of Mathematics, Aarhus University.
Castrillón López, M., Gadea, P. M. & Swann, A. F. (2013). The homogeneous geometries of real hyperbolic space. Mediterranean Journal of Mathematics, 10(2), 1011-1022. https://doi.org/10.1007/s00009-012-0209-1
Pedersen, H., Poon, Y. S. & Swann, A. (1994). The Hitchin-Thorpe inequality for Einstein-Weyl manifolds. Bulletin of the London Mathematical Society, 26(2), 193-194. https://doi.org/10.1112/blms/26.2.191
Thomsen, K. (2014). The groupoid C*-algebra of a rational map. Journal of Noncommutative Geometry, 8(1), 217-264. https://doi.org/10.4171/JNCG/154
Thomsen, K. & Manuilov, V. (2006). The group of unital C*-extensions. In B. Bojarski, A. Mishchenko & A. Weber (Eds.), C*-algebras and Elliptic Theory (pp. 151-156). Birkhäuser Verlag.
Clerc, J.-L. & Ørsted, B. (2003). The Gromov norm of the Kaehler class and the Maslov index. Asian Journal of Mathematics, 7(2), 269-296.
Lauritzen, N. & Thomsen, J. F. (2021). The graph of a Weyl algebra endomorphism. Bulletin of the London Mathematical Society, 53(1), 161-176. https://doi.org/10.1112/blms.12408
Dancer, A. & Swann, A. (1997). The geometry of singular quaternionic Kähler quotients. International Journal of Mathematics, 8(5), 595-610. https://doi.org/10.1142/S0129167X97000317
Fukuda, K., Jensen, A. N., Lauritzen, N. & Thomas, R. (2007). The generic Gröbner walk. Journal of Symbolic Computation, 42, 298-312. https://doi.org/10.1016/j.jsc.2006.09.004
Ciobotaru, C. (2014). The flat closing problem for buildings. Algebraic and Geometric Topology, 14(5), 3089-3096. https://doi.org/10.2140/agt.2014.14.3089
Amiran, A., Baudoin, F., Brock, S., Coster, B., Craver, R., Ezeaka, U., Mariano, P. & Wishart, M. (2019). The financial value of knowing the distribution of stock prices in discrete market models. Involve, 12(5), 883-899. https://doi.org/10.2140/involve.2019.12.883
Thomsen, K. (2019). The factor type of conservative KMS-weights on graph C∗-algebras. In Analysis and operator theory (pp. 379–394). Springer.
Pedersen, H., Poon, Y. S. & Swann, A. (1993). The Einstein-Weyl equations in complex and quaternionic geometry. Differential Geometry and Its Applications, 3(4), 309-321. https://doi.org/10.1016/0926-2245(93)90009-P
Thomsen, K. (2003). The defect of factor maps and finite equivalence of dynamical systems. In S. Bezuglyi & S. Kolyada (Eds.), Topics in dynamics and ergodic theory (pp. 190-225). Cambridge University Press.
Jørgensen, P. & Pauksztello, D. (2013). The co-stability manifold of a triangulated category. Glasgow Mathematical Journal, 55(1), 161-175. https://doi.org/10.1017/S0017089512000420
Manuilov, V. & Thomsen, K. (2004). The Connes-Higson construction is an isomorphism. Journal of Functional Analysis, 213(1), 154-175.