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Department of Mathematics

Publications

Jørgensen, P. (2022). Abelian subcategories of triangulated categories induced by simple minded systems. Mathematische Zeitschrift, 301(1), 565-592. https://doi.org/10.1007/s00209-021-02913-5

Ito, K. & Skibsted, E. (2011). Absence of embedded eigenvalues for Riemannian Laplacians. Department of Mathematics, Aarhus University. Preprints No. 4

Ito, K. & Skibsted, E. (2013). Absence of embedded eigenvalues for Riemannian Laplacians. Advances in Mathematics, 248, 945-962. https://doi.org/10.1016/j.aim.2013.08.023

Skibsted, E. & Ito, K. (2014). Absence of embedded eigenvalues for the Schrödinger operator on manifolds. Paper presented at RIMS workshop, Japan.

Ito, K. & Skibsted, E. (2014). Absence of positive eigenvalues for hard-core N-body systems. Annales Henri Poincare, 15 (12), 2379-2408. https://doi.org/10.1007/s00023-013-0309-x

Ito, K. & Skibsted, E. (2012). Absence of positive eigenvalues for hard-core N-body systems. Department of Mathematics, Aarhus University. Preprints No. 6

Ito, K. & Skibsted, E. (2013). Absence of positive eigenvalues for hard-core N-body systems. In A. Jensen (Ed.), XVIIth International Congress on Mathematical Physics - ICMP12 (pp. 520-527). World Scientific. https://doi.org/10.1142/9789814449243_0050

Herbst, I. & Skibsted, E. (2008). Absence of quantum states corresponding to unstable classical channels. Annales Henri Poincare, 9, 509-552. https://doi.org/10.1007/s00023-008-0366-8

Herbst, I. & Skibsted, E. (2003). Absence of quantum states corresponding to unstable classical channels: homogeneous potentials of degree zero. MaPhySto, Aarhus Universitet. http://www.maphysto.dk/cgi-bin/w3-msql/publications2/index.html

Skibsted, E. (1994). Absolute spectral continuity for N-body Stark Hamiltonians. Ann. Inst. H. Poincaré Phys. Théor., 61(2), 223-243.

Kock, A. (2010). Abstract projective lines. Cahiers de Topologie et Geometrie Differentielle Categoriques, 51(3), 224-240.

Ørsted, B. & Vargas, J. (2007). A cauchy problem for elliptic invariant differential operators and continuity of a generalized Berezin transform. Annales de l'Institut Fourier, 57(3), 693-702.

Kumar, S. & Thomsen, J. F. (2003). A conjectural generalization of the n! result to arbitrary groups. Transformation Groups, 8(1), 69-94. https://doi.org/10.1007/s00031-003-0215-2

Barndorff-Nielsen, O. E. & Thorbjørnsen, S. (2004). A connection between free and classical infinite divisibility. Inf. Dim. Anal. Quantum Prob. Rel. Topics, 7(4), 573-590. https://doi.org/10.1142/S0219025704001773

Fischler, S., Hussain, M., Kristensen, S. & Levesley, J. (2013). A converse to linear independence criteria, valid almost everywhere. Department of Mathematics, Aarhus University. Preprints No. 1 http://math.au.dk/publs?publid=975

Fischler, S., Hussain, M., Kristensen, S. & Levesley, J. (2015). A converse to linear independence criteria, valid almost everywhere. Ramanujan Journal, 38(3), 513-528. https://doi.org/10.1007/s11139-014-9662-8

Lauritzen, N. & Thomsen, J. F. (2019). A Euclidean algorithm for integer matrices. The American Mathematical Monthly, 126(8), 699-699. https://doi.org/10.1080/00029890.2019.1626667

Kock, A. (2009). Affine connections, and midpoint formation. Lecture Notes in Computer Science, 13-21. https://doi.org/10.1007/978-3-642-04397-0_2

Kock, A. (2011). Affine connections, midpoint formation, and point reflection. Theoretical Computer Science, 412(36), 4770-4777. https://doi.org/10.1016/j.tcs.2010.12.037

Bökstedt, M. & Svane, A. M. (2014). A geometric interpretation of the homotopy groups of the cobordism category. Algebraic & Geometric Topology, 14(3), 1649-1676. https://doi.org/10.2140/agt.2014.14.1649

Möllers, J. (2013). A geometric quantization of the Kostant-Sekiguchi correpondence for scalar type unitary highest weight representations. Documenta Mathematica, 18, 785-855. http://www.math.uiuc.edu/documenta/vol-18/26.html

Kock, A. (2003). A geometric theory of harmonic and semi-conformal maps. arXiv.org. http://front.math.ucdavis.edu/0306.5203

Kock, A. (2004). A geometric theory of harmonic and semi-conformal maps. Central European Journal of Mathematics, 2(5), 708-724.

Frahm, J. & Kaplan, E. (2019). A Godement-Jacquet type integral and the metaplectic Shalika model. American Journal of Mathematics, 141(1), 219-282. https://doi.org/10.1353/ajm.2019.0005

Bökstedt, M. & Ottosen, I. (2017). A Hochschild-Kostant-Rosenberg theorem for cyclic homology. Journal of Pure and Applied Algebra, 221(6), 1458–1493. https://doi.org/10.1016/j.jpaa.2016.10.005

Swann, A. F. (2011). Alekseevsky, D. V.; Cortés, V.; Galaev, A. S.; Leistner, T. Cones over pseudo-Riemannian manifolds and their holonomy. J. Reine Angew. Math. 635 (2009), 23--69. Mathematical Reviews, 2011b(53115), MR2572254.

Swann, A. F. (2011). Alekseevsky, D. V.; Cortés, V. Geometric construction of the r-map: from affine special real to special Kähler manifolds. Comm. Math. Phys. 291 (2009), no. 2, 579--590. Mathematical Reviews, 2011a(53070), MR2530173.

Stetkær, H. (2022). A Levi–Civita functional equation on semigroups. Aequationes Mathematicae, 96, 115-127. https://doi.org/10.1007/s00010-021-00865-z

Jantzen, J. C. & Schwermer, J. (2005). Algebra. Springer.

Laursen, M. L. (2023). Algebraic degree of series of reciprocal algebraic integers. Rocky Mountain Journal of Mathematics, 53(2), 517-529. https://doi.org/10.1216/rmj.2023.53.517

Brion, M. & Jantzen, J. C. (Eds.) (2010). Algebraic groups. Oberwolfach Reports, 7(2), 1101-1163. https://doi.org/10.4171/OWR/2010/19

Brion, M., Jantzen, J. C. & Rouquier, R. (Eds.) (2007). Algebraic Groups. Oberwolfach Reports, (2), 1191–1242. https://doi.org/10.4171/OWR/2007/22

Kock, A. (2003). Algebra of Principal Fibre Bundles and Connections. Department of Mathematical Sciences , University of Aarhus.

Stetkær, H. (2016). A link between Wilson’s and d’Alembert’s functional equations. Aequationes Mathematicae, 90(2), 407-409. https://doi.org/10.1007/s00010-015-0336-4

Thomsen, K. (2008). All extensions by C_r* (F_n) are semi-invertible. (pp. 1-6). Department of Mathematical Sciences, Aarhus University. http://www.imf.au.dk/publs?id=669

Thomsen, K. (2008). All extensions of C*_r(F_n) are semi-invertible. Mathematische Annalen, 342(2), 273-277. https://doi.org/10.1007/s00208-008-0232-5

Mart́n Cabrera, F. & Swann, A. (2004). Almost Hermitian structures and quaternionic geometries. Differential Geometry and its Application, 21(2), 199-214. https://doi.org/10.1016/j.difgeo.2004.03.008

Brandt, J. (1982). A lower bound for the number of irreducible characters in a block. Journal of Algebra, 74(2), 509-515.

Hirokawa, M., Moller, J. S. & Sasaki, I. (2017). A mathematical analysis of dressed photon in ground state of generalized quantum Rabi model using pair theory. Journal of Physics A: Mathematical and Theoretical, 50(18), Article 184003. https://doi.org/10.1088/1751-8121/aa677c

Klapproth, C. (2023). A method for constructing minimal projective resolutions over idempotent subrings. Proceedings of the American Mathematical Society, 151(11), 4779-4792. https://doi.org/10.1090/proc/16470

Kristensen, S. (2006). A metric theorem for restricted Diophantine approximation in positive characteristic. Acta Arithmetica, 124(2), 159-175.

Barbier, S. & Frahm, J. (2021). A minimal representation of the orthosymplectic Lie supergroup. International Mathematics Research Notices, 2021(21), 16357-16420. https://doi.org/10.1093/imrn/rnz228

Møller, J. S. (2000). An abstract radiation condition and applications to N-body systems. Rev. Math. Phys., 12, 767-803.

Bökstedt, M. & Ottosen, I. (2006). An alternative approach to homotopy operations. Transactions of the American Mathematical Society, 358(9), 3985-3995.

Bökstedt, M. & Ottosen, I. (2004). An Alternative Approach to Homotopy Operations. Department of Mathematical Sciences , University of Aarhus.

Ørsted, B. (2013). Analysis on flag manifolds and Sobolev inequalities. In A. Huckleberry, I. Penkov & G. Zuckerman (Eds.), Lie groups: structure, actions, and representations: In honor of Joseph A. Wolf on the occasion of his 75th birthday (pp. 255-271). Springer. https://doi.org/10.1007/978-1-4614-7193-6_12

Ørsted, B. & Said, S. B. (2005). Analysis on flat symmetric spaces. J. Math. Pures Appl., 84(10), 1393-1426.

Kobayashi, T. & Ørsted, B. (2003). Analysis on the minimal representation of O(p,q) II. Branching laws. Shuxue Jinzhan, 180, 513-550. https://doi.org/10.1016/S0001-8708(03)00013-6

Kobayashi, T. & Ørsted, B. (2003). Analysis on the minimal representation of O(p,q) III. Ultrahyperbolic equations on. Shuxue Jinzhan, 180, 551-595. https://doi.org/10.1016/S0001-8708(03)00014-8

Kobayashi, T. & Ørsted, B. (2003). Analysis on the minimal representation of O(p,q) I. Realization via conformal geometry. Shuxue Jinzhan, 180, 486-512. https://doi.org/10.1016/S0001-8708(03)00012-4

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Lars Madsen