Publications

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Fournais, S. & Helffer, B. (2019). Inequalities for the lowest magnetic Neumann eigenvalue. Letters in Mathematical Physics, 109(7), 1683-1700. https://doi.org/10.1007/s11005-018-01154-8

Dancer, A., Kirwan, F. & Swann, A. F. (2013). Implosions and hypertoric geometry. Journal of the Ramanujan Mathematical Society, 28A(Issue SPL, July), 81-122. http://www.mathjournals.org/jrms/2013-028-000/2013-28A-SPL-006.html

Dancer, A., Kirwan, F. & Swann, A. F. (2013). Implosion for hyperkähler manifolds. Compositio Mathematica, 149(09), 1592-1630. https://doi.org/10.1112/S0010437X13007203

Andersen, J. E., Jantzen, J. C. & Pei, D. (2018). Identities for Poincaré polynomials via Kostant cascades. arXiv.org. https://arxiv.org/pdf/1810.05615.pdf

Andersen, J. E., Jantzen, J. C. & Pei, D. (2020). Identities for Poincaré Polynomials via Kostant Cascades. Journal of Lie Theory, 30(4), 1131-1160.

Swann, A. F. & Dancer, A. (2017). Hypertoric Manifolds and HyperKähler Moment Maps. I S. Chiossi, A. Fino, E. Musso, F. Podestà & L. Vezzoni (red.), Special Metrics and Group Actions in Geometry (s. 107-127). Springer. Springer INdAM Series Bind 23 https://doi.org/10.1007/978-3-319-67519-0_5

Plessis, A. D. & Wall, C. T. C. (2008). Hypersurfaces with isolated singularities with symmetry. Contemporary Mathematics, 147-164.

Plessis, A. D. & Wall, C. T. C. (2010). Hypersurfaces in Pⁿ with 1-parameter symmetry groups II. Manuscripta Mathematica, 131(1-2), 111-143. https://doi.org/10.1007/s00229-009-0304-1

Plessis, A. D. & Wall, C. T. C. (2007). Hypersurfaces in pⁿ with 1-parameter symmetry groups II. Department of Mathematical Sciences , University of Aarhus. http://www.imf.au.dk/publs?id=663

Dancer, A. & Swann, A. (1997). Hyperkähler metrics of cohomogeneity one. Journal of Geometry and Physics, 21(3), 218-230. https://doi.org/10.1016/S0393-0440(96)00017-4

Dancer, A. & Swann, A. (1996). Hyperkähler metrics associated to compact Lie groups. Mathematical Proceedings of the Cambridge Philosophical Society, 120(1), 61-69.

Pedersen, H., Poon, Y. S. & Swann, A. F. (1998). Hypercomplex structures associated to quaternionic manifolds. Differential Geometry and its Application, 9(3), 273-292. https://doi.org/10.1016/S0926-2245(98)00026-6

Kobak, P. & Swann, A. (2001). HyperKähler potentials in cohomogeneity two. Journal fur die Reine und Angewandte Mathematik, 531, 121-139.

Swann, A. (1991). HyperKähler and quaternionic Kähler geometry. Mathematische Annalen, 289(1), 421-450. https://doi.org/10.1007/BF01446581

Kobak, P. & Swann, A. (2001). HyperKähler Potentials via Finite-Dimensional Quotients. Geometriae Dedicata, 88(1-3), 1-19. https://doi.org/10.1023/A:1013174027792

Arkhipov, S. & Ørsted, S. (2021). Homotopy limits in the category of dg-categories in terms of A_∞-comodules. European Journal of Mathematics, 7(2), 671-705. https://doi.org/10.1007/s40879-020-00439-4

Arkhipov, S. & Ørsted, S. (2018). Homotopy limits in the category of dg-categories in terms of $\mathrm{A}_{\infty}$-comodules. arXiv

Thomsen, K. (2006). Homotopy invariance in E-theory. Homology, Homotopy and Applications, 8(2), 29-49.

Arkhipov, S. & Ørsted, S. (2018). Homotopy (co)limits via homotopy (co)ends in general combinatorial model categories. arXiv

Stetkær, H. (2022). Homomorphisms of Product Semigroups. Results in Mathematics, 77(2), [60]. https://doi.org/10.1007/s00025-022-01603-w

Swann, A. (1999). Homogeneous twistor spaces and nilpotent orbits. Mathematische Annalen, 313(1), 161-188. https://doi.org/10.1007/s002080050256

López, M. C., Gadea, P. M. & Swann, A. F. (2009). Homogeneous structures on real and complex hyperbolic spaces. Illinois Journal of Mathematics, 53(2), 561-574.

Swann, A. F. & Madsen, T. B. (2011). Homogeneous spaces, multi-moment maps and (2,3)-trivial algebras. A I P Conference Proceedings Series, 1360, 51-62. https://doi.org/10.1063/1.3599127

Lopez, M. C., Gadea, P. M. & Swann, A. F. (2006). Homogeneous quaternionic Kahler structures and quaternionic hyperbolic space. Transformation Groups, 11(4), 575-608. https://doi.org/10.1007/s00031-005-1124-3

Möllers, J. (2014). Heat kernel analysis for Bessel operators on symmetric cones. Journal of Lie Theory, 24(2), 373-396. http://www.heldermann.de/JLT/JLT24/JLT242/jlt24016.htm

Dodson, M. M. & Kristensen, S. (2004). Hausdorff dimension and Diophantine approximation. I M. L. Lapidus & M. van Frankenhuijsen (red.), Fractal geometry and applications: a jubilee of Benoit Mandelbrot (s. 305--347). American Mathematical Society. Proceedings of symposia in pure mathematics Bind 72.1

Bley, G. A. & Fournais, S. (2019). Hardy–Lieb–Thirring Inequalities for Fractional Pauli Operators. Communications in Mathematical Physics, 365(2), 651-683. https://doi.org/10.1007/s00220-018-3204-y

Swann, A. F. (2012). Gutowski, J. B.; Sabra, W. A. HKT geometry and fake five-dimensional supergravity. Classical Quantum Gravity 28 (2011), no. 17, 175023, 11 pp. Mathematical Reviews, [MR2837320].

Kock, A. (2007). Group valued differential forms revisited. Department of Mathematical Sciences , University of Aarhus. http://www.imf.au.dk/publs?id=636

Fournais, S., Napiorkowski, M., Reuvers, R. & Solovej, J. P. (2019). Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional. Journal of Mathematical Physics, 60(7), [071903]. https://doi.org/10.1063/1.5096987

Thomsen, K. (2021). Ground States for Generalized Gauge Actions on UHF Algebras. Communications in Mathematical Physics, 386(1), 57-85. https://doi.org/10.1007/s00220-021-04075-1

Jørgensen, P. & Yakimov, M. (2022). Green groupoids of 2-Calabi–Yau categories, derived Picard actions, and hyperplane arrangements. Transactions of the American Mathematical Society, 375(11), 7981-8031. https://doi.org/10.1090/tran/8770

Minuz, E. & Bökstedt, M. (2019). Graph cohomologies and rational homotopy type of configuration spaces. ArXiv. https://arxiv.org/abs/1904.01452

Cruz-Sampedro, J. & Skibsted, E. (2011). Global solutions to the eikonal equation. Aarhus University, Department of Mathematical Sciences.

Cruz-Sampedro, J. & Skibsted, E. (2013). Global solutions to the eikonal equation. Journal of Differential Equations, 255(12), 4337-4377. https://doi.org/10.1016/j.jde.2013.08.002

Lauritzen, N., Raben-Pedersen, U. & Thomsen, J. F. (2004). Global F-Regularity of Schubert Varieties with Applications to D-Modules. Department of Mathematical Sciences , University of Aarhus.

Ørsted, B. & Wolf, J. A. (2010). Geometry of the Borel-de Siebenthal discrete series. Journal of Lie Theory, 20(1), 175-212.

Ørsted, B. & Wolf, J. A. (2009). Geometry of the Borel - de Siebenthal discrete series. Department of Mathematical Sciences, Aarhus University. http://www.imf.au.dk/publs?id=696

He, X. & Thomsen, J. F. (2005). Geometry of BxB-orbit closures in equivariant embeddings.

He, X. & Thomsen, J. F. (2007). Geometry of $B\times B$-orbit closures in equivariant embeddings. Advances in Mathematics, 216, 626-646. https://doi.org/10.1016/j.aim.2007.06.001

Feragen, A., Nielsen, M., Jensen, E. B. V., du Plessis, A. & Lauze, F. (2014). Geometry and Statistics: Manifolds and Stratified Spaces. Journal of Mathematical Imaging and Vision, 50(1-2), 1-4. https://doi.org/10.1007/s10851-014-0504-5

Kobayashi, T., Ørsted, B. & Pevzner, M. (2011). Geometric analysis on small unitary representations of GL(N,R). Journal of Functional Analysis, 260(6), 1682-1720. https://doi.org/10.1016/j.jfa.2010.12.008

Salem, B. S., Kobayashi, T. & Ørsted, B. (2009). Generalized Fourier transforms F_k,a. Comptes Rendus Mathématique, 347(19-20), 1119-1124. https://doi.org/10.1016/j.crma.2009.07.015

Clerc, J-L., Kobayashi, T., Ørsted, B. & Pevzner, M. (2011). Generalized Bernstein-Reznikov integrals. Mathematische Annalen, 349(2), 395-431. https://doi.org/10.1007/s00208-010-0516-4

Poon, Y. S. & Swann, A. (1995). Generalised connected sums of quaternionic manifolds. Annals of Global Analysis and Geometry, 13(1), 79-90. https://doi.org/10.1007/BF00774570

Stetkær, H. (2001). General trigonometric functional equations. I The Thirty-eighth International Symposium on Functional Equations (s. 296). Aequationes Mathematicae Bind 61 (2001)

Swann, A. F. (2011). Gaiotto, Davide; Neitzke, Andrew; Tachikawa, Yuji . Argyres-Seiberg duality and the Higgs branch. Comm. Math. Phys. 294 (2010), no. 2, 389--410. Mathematical Reviews, 2011g(53091), MR2579460.

Kannan, S. S. & Thomsen, J. F. (2019). GIT quotient of a Bott–Samelson–Demazure–Hansen variety by a maximal torus. Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 129(2), [25]. https://doi.org/10.1007/s12044-019-0470-3

Chiossi, S. G. & Swann, A. (2005). G₂-structures with torsion from half-integrable nilmanifolds. Journal of Geometry and Physics, 54(3), 262-285. https://doi.org/10.1016/j.geomphys.2004.09.009

Stetkær, H. (2013). Functional equations on groups. World Scientific. https://doi.org/10.1142/8830

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Revideret 08.03.2023

Lars Madsen