Department of Mathematics

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Publications

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Hussain, M. & Kristensen, S. (2013). Metrical results on systems of small linear forms. International Journal of Number Theory, 9(3), 769-782. https://doi.org/10.1142/S1793042112501606
Haynes, A., Jensen, J. L. & Kristensen, S. (2012). Metrical musings on Littlewood and friends. Department of Mathematics, Aarhus University. Preprints No. 4
Haynes, A., Jensen, J. L. & Kristensen, S. (2014). Metrical musings on Littlewood and friends. Proceedings of the American Mathematical Society, 142(2), 457-466. https://doi.org/10.1090/S0002-9939-2013-11921-0
Swann, A. F. (2020). Menet, Grégoire. Global Torelli theorem for irreducible symplectic orbifolds. J. Math. Pures Appl. (9) 137 (2020), 213-237. MathSciNet, Article MR4088512.
Finkelshtein, V., Sert, C. & Ciobotaru, C.-G. (2021). Measure Rigidity for Horospherical Subgroups of Groups Acting on Trees. International Mathematics Research Notices, 2021(21), 16227-16270. https://doi.org/10.1093/imrn/rnz275
Swann, A. F. (2021). Mazzeo, Rafe, Swoboda, Jan, Weiss, Hartmut and Witt, Frederik. Asymptotic geometry of the Hitchin metric. Comm. Math. Phys. 367 (2019), no. 1, 151--191. MathSciNet, Article MR3933407.
Swann, A. F. (2021). Mayrand, Maxence. Stratified hyperkähler spaces from semisimple Lie algebras. Transform. Groups 25 (2020), no. 1, 191--215. MathSciNet, Article MR4070107.
Swann, A. F. (2021). Mayrand, Maxence. Erratum to: Stratified hyperkähler spaces from semisimple Lie algebras. Transform. Groups 25 (2020), no. 2, 645--646. MathSciNet, Article MR4098885.
Jantzen, J. C. (2017). Maximal weight composition factors for Weyl modules. Canadian Mathematical Bulletin, 60(4), 762 - 773. https://doi.org/10.4153/CMB-2016-055-4
Jacobsen, K. & Jørgensen, P. (2020). Maximal tau-d-rigid pairs. Journal of Algebra, 546, 119-134. https://doi.org/10.1016/j.jalgebra.2019.10.046
Jensen, A. N., Lauritzen, N. & Roune, B. H. (2007). Maximal lattice free bodies, test sets and the Frobenius problem. arxiv.org. http://arxiv.org/abs/0705.4439
Thomsen, J. F. & Lauritzen, N. (2010). Maximal compatible splitting and diagonals of Kempf varieties. arxiv.org. http://arxiv.org/pdf/1004.2847v2
Lauritzen, N. & Thomsen, J. F. (2011). Maximal compatible splitting and diagonals of Kempf varieties. Annales de l'Institut Fourier, 61(6), 2543-2575. https://doi.org/10.5802/aif.2682
Swann, A. F. (2012). Matzeu, Paola. Closed Einstein-Weyl structures on compact Sasakian and cosymplectic manifolds. Proc. Edinb. Math. Soc. (2) 54 (2011), no. 1, 149--160. Mathematical Reviews, 2012d(53140), MR2764413.
Nelson, P. D. (2012). Mass equidistribution of Hilbert modular eigenforms. Ramanujan Journal, 27(2), 235-284. https://doi.org/10.1007/s11139-011-9319-9
Bañuelos, R. & Baudoin, F. (2013). Martingale Transforms and Their Projection Operators on Manifolds. Potential Analysis, 38(4), 1071-1089. https://doi.org/10.1007/s11118-012-9307-8
Cornean, H., Garde, H., Støttrup, B. & Sørensen, K. S. (2019). Magnetic pseudodifferential operators represented as generalized Hofstadter-like matrices. Journal of Pseudo-Differential Operators and Applications, 10(2), 307-336. https://doi.org/10.1007/s11868-018-0271-y
Møller, J. S. (2003). Low-temperature localisation for continuous spin-systems. Potential Analysis, 19, 163--192.
Gravgaard, M. B., Hancl, J. & Kristensen, S. (2026). Lower bounds for the Hausdorff dimension of expressible sets. https://arxiv.org/pdf/2605.26839
Skibsted, E. (2003). Long-range scattering of three-body quantum systems, II. Annales Henri Poincare, 4(2), 276-299.
Skibsted, E. (2003). Long-range scattering of three-body quantum systems: Asymptotic completeness. Inventiones Mathematicae, 151, 65-99.
Skibsted, E. (2006). Long-range scattering at low energies. In Spectral and Scattering Theory and Related Topics (No.: 7 ed., Vol. 198 pages, pp. 104--108). RIMS.
Baudoin, F. & Bonnefont, M. (2012). Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality. Journal of Functional Analysis, 262(6), 2646-2676. https://doi.org/10.1016/j.jfa.2011.12.020
Swann, A. F. (2013). Loftin, John; McIntosh, Ian. Minimal Lagrangian surfaces in CH2 and representations of surface groups into SU(2,1). Geom. Dedicata 162 (2013), 67--93. Mathematical Reviews, Article MR3009535.
Engelmann, M., Møller, J. S. & Rasmussen, M. G. (2018). Local Spectral Deformation. Annales de l'Institut Fourier, 68(2), 767-804. https://doi.org/10.5802/aif.3177
Spotti, C. & de Borbon, M. (2019). Local models for conical Kähler-Einstein metrics. Proceedings of the American Mathematical Society, 147(3), 1217-1230. https://doi.org/10.1090/proc/14302
Tessera, R., Valette, A. & Ciobotaru, C.-G. (2020). Locally compact groups with every isometric action bounded or proper. Journal of Topology and Analysis, 12(2), 267-292. https://doi.org/10.1142/S1793525319500547
Bach, V. & Møller, J. S. (2006). Localization at low temperature and infrared bounds. Journal of Mathematical Physics, 47, 123302. https://doi.org/10.1063/1.2364180
Blomer, V., Jana, S. & Nelson, P. D. (2025). Local Integral Transforms and Global Spectral Decomposition. Geometric and Functional Analysis, 35(4), 1051-1107. https://doi.org/10.1007/s00039-025-00714-0
Kock, A. & Kock, J. (2013). Local fibred right adjoints are polynomial. Mathematical Structures in Computer Science, 23(1), 131-141. https://doi.org/10.1017/S0960129512000217
Jørgensen, P. (1997). Local cohomology for non-commutative graded algebras. Communications in Algebra, 25(2), 575-591. https://doi.org/10.1080/00927879708825875
Kashiwara, M. & Lauritzen, N. (2002). Local cohomology and D-affinity in positive characteristic. C. R. Math. Acad. Sci. Paris, 335(12), 993-996. https://doi.org/10.1016/S1631-073X(02)02616-X
Kashiwara, M. & Lauritzen, N. (2002). Local Cohomology and $D$-Affinity in Positive Characteristic. Department of Mathematical Sciences , University of Aarhus.
Assing, E., Blomer, V. & Nelson, P. D. (2026). Local analysis of the Kuznetsov formula and the density conjecture. Journal des Mathematiques Pures et Appliquees, 214, Article 103954. https://doi.org/10.1016/j.matpur.2026.103954
Swann, A. F. (2024). Li, Yang. Strominger-Yau-Zaslow conjecture for Calabi-Yau hypersurfaces in the Fermat family. Acta Math. 229 (2022), no. 1, 1-53. MathSciNet, Article MR4460593.
Lauritzen, N. (1993). Line bundles on projective homogeneous spaces. University of Illinois.
Lauritzen, N. & Thomsen, J. F. (2002). Line Bundles on Bott-Samelson varieties. Department of Mathematical Sciences , University of Aarhus.
Lauritzen, N. & Thomsen, J. F. (2004). Line bundles on Bott-Samelson varieties. Journal of Algebraic Geometry, 13(3), 461-473. https://doi.org/10.1090/S1056-3911-03-00358-8
Swann, A. & Olsen, N. H. (2003). Linear transformation groups and shape space. Journal of Mathematical Imaging and Vision, 19(1), 49-62. https://doi.org/10.1023/A:1024437004092
Garde, H. & Hirvensalo, M. (2025). Linearized Calderón problem: Reconstruction of unbounded perturbations in three dimensions. SIAM Journal on Applied Mathematics, 85(1), 210-223. https://doi.org/10.1137/24M1649162
Garde, H. & Hyvönen, N. (2024). Linearized Calderón problem: Reconstruction and Lipschitz stability for infinite-dimensional spaces of unbounded perturbations. SIAM Journal on Mathematical Analysis, 56(3), 3588-3604. https://doi.org/10.1137/23M1609270
Autio, A., Garde, H., Hirvensalo, M. & Hyvönen, N. (2025). Linearization-based direct reconstruction for EIT using triangular Zernike decompositions. Inverse Problems and Imaging, 19(3), 456-478. https://doi.org/10.3934/ipi.2024040
Jørgensen, P. (2004). Linear free resolutions over non-commutative algebras. Compositio Mathematica, 140(4), 1053-1058. https://doi.org/10.1112/S0010437X03000666
Lauritzen, N. & Thomsen, J. F. (2026). Lifts of endomophisms of Weyl algebras modulo $p^2$. (pp. 1-21). https://arxiv.org/pdf/2601.23110
Anker, J.-P. & Ørsted, B. (Eds.) (2004). Lie theory: Lie algebras and representations. Birkhäuser Verlag. Progress in Mathematics Vol. 228
Anker, J.-P. & Ørsted, B. (Eds.) (2005). Lie theory: unitary representations and compactifications of symmetric spaces. Birkhäuser Verlag. Progress in Mathematics Vol. 229
Anker, J.-P. & Ørsted, B. (Eds.) (2005). Lie theory: harmonic analysis on symmetric spaces - general Plancherel theorems. Birkhäuser Verlag. Progress in Mathematics Vol. 230
Barndorff-Nielsen, O. E. & Thorbjørnsen, S. (2002). Lévy processes in free probability. Proc. Nat. Acad. Sci., 99(26), 16576-16580.
Barndorff-Nielsen, O. E., Pérez-Abreu, V. & Thorbjørnsen, S. (2013). Levy Mixing. Alea, X(2), 1013-1062. http://alea.impa.br/articles/v10/10-41.pdf
Barndorff-Nielsen, O. E. & Thorbjørnsen, S. (2002). Lévy laws in free probability. Proc. Nat. Acad. Sci., 99(26), 16568-16575.

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Lars Madsen