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Department of Mathematics

Publications

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

Brandt, J. (1982). Characteristic submodules. Journal of the London Mathematical Society, 25(1), 35-38.

Brandt, J. (1982). Cycles of partitions. Proceedings of the American Mathematical Society, 85(3), 483-486.

Brandt, J. (1987). Invariant signals for median-filters. Utilitas Mathematica, 31, 93-105.

Brandt, J., Damgård, I. B. & Landrock, P. (1988). Anonymous and verifiable registration in databases. In Advances in cryptology - EUROCRYPT '88 (pp. 167-176). Springer. https://doi.org/10.1007/3-540-45961-8_14

Brandt, J., Damgård, I. B., Landrock, P. & Pedersen, T. P. (1988). Zero-Knowledge Authentication Scheme with Secret Key Exchange (extended abstract). In S. Goldwasser (Ed.), Advances in Cryptology - CRYPTO' 88: Proceedings (pp. 583-588). Springer. https://doi.org/10.1007/0-387-34799-2_43

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

Lauritzen, N. (1993). Line bundles on projective homogeneous spaces. University of Illinois.

Brandt, J. & Damgård, I. B. (1993). On generation of probable primes by incremental search. In Advances in cryptology - CRYPTO '92 (pp. 358-370). Springer.

Kobak, P. Z. & Swann, A. (1993). Quaternionic geometry of a nilpotent variety. Mathematische Annalen, 297(1), 747-764. https://doi.org/10.1007/BF01459528

Pedersen, H. & Swann, A. (1993). Riemannian Submersions, Four-Manifolds and Einstein-Weyl Geometry. Proceedings of the London Mathematical Society, s3-66(2), 381-399. https://doi.org/10.1112/plms/s3-66.2.381

Møller, J. S. (1993). Second quantization in a quon-algebra. J. Phys. A., 26, 4643-4652.

Brandt, J., Damgård, I. B. & Landrock, P. (1993). Speeding up prime number generation. In Advances in cryptology - ASIACRYPT '91 (pp. 440-449). Springer. https://doi.org/10.1007/3-540-57332-1

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

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

Gérard, C., Isozaki, H. & Skibsted, E. (1994). Commutator algebra and resolvent estimates. In K. Yajima (Ed.), Spectral and scattering theory and applications (pp. 69-82). Math. Soc. Japan.

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

Merkulov, S., Pedersen, H. & Swann, A. (1994). Topological quantum field theory in quaternionic geometry. Journal of Geometry and Physics, 14(2), 121-145. https://doi.org/10.1016/0393-0440(94)90004-3

Herbst, I. & Skibsted, E. (1995). Free channel Fourier transform in the long-range N-body problem. J. Anal. Math., 65, 297-332.

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

Gilkey, P., Swann, A. & Vanhecke, L. (1995). Isoparametric geodesic spheres and a conjecture of osserman concerning the jacobi operator. Quarterly Journal of Mathematics, 46(3), 299-320. https://doi.org/10.1093/qmath/46.3.299

Herbst, I., Møller, J. S. & Skibsted, E. (1995). Spectral analysis of N-body Stark Hamiltonians. Communications in Mathematical Physics, 174, 261-294.

Herbst, I. & Skibsted, E. (1995). Spectral analysis of N-body Stark Hamiltonians. In J. Feldman, R. Froese & L. M. Rosen (Eds.), Mathematical quantum theory II: Schrödinger operators (pp. 277-284). American Mathematical Society.

Herbst, I., Møller, J. S. & Skibsted, E. (1996). Asymptotic completeness for N-body Stark Hamiltonians. Communications in Mathematical Physics, 174, 509-535.

Kobak, P. Z. & Swann, A. (1996). Classical nilpotent orbits as hyperkahler quotients. International Journal of Mathematics, 7(2), 193-210. https://doi.org/10.1142/S0129167X96000116

Cabrera, F. M., Monar, M. D. & Swann, A. F. (1996). Classification of G₂-structures. Journal of the London Mathematical Society, 53(2), 407-416. https://doi.org/10.1112/jlms/53.2.407

Pedersen, H., Poon, Y. S. & Swann, A. (1996). Einstein-Weyl deformations and submanifolds. International Journal of Mathematics, 7(5), 705-719. https://doi.org/10.1142/S0129167X96000372

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

Gérard, C., Isozaki, H. & Skibsted, E. (1996). N-body resolvent estimates. J. Math. Soc. Japan, 48(1), 135-160.

Skibsted, E. (1996). On the asymptotic completeness for particles in constant electromagnetic. In L. Hörmander & A. Melin (Eds.), Partial differential equations and mathematical physics (pp. 286-320). Birkhäuser Verlag.

Skibsted, E. (1997). Asymptotic completeness for particles in combined constant electric and magnetic fields. II. Duke Math. J., 89(2), 307-350.

Madsen, A. B., Pedersen, H., Poon, Y. S. & Swann, A. (1997). Compact einstein-weyl manifolds with large symmetry group. Duke Mathematical Journal, 88(3), 407-434. https://doi.org/10.1215/S0012-7094-97-08817-7

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. (1997). The geometry of singular quaternionic Kähler quotients. International Journal of Mathematics, 8(5), 595-610. https://doi.org/10.1142/S0129167X97000317

Møller, J. S. (1997). Two applications of positive commutator estimates in spectral and scattering theory. Institut for Matematiske Fag, Aarhus Universitet.

Brandt, J. (1998). Cycles of medians. Utilitas Mathematica, 54, 111-126.

Thomsen, J. F. (1998). Flag varieties, Toric varieties and characteristic p geometry. Institut for Matematiske Fag, Aarhus Universitet.

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

Skibsted, E. (1998). Spectral analysis of N-body systems coupled to a bosonic field. Rev. Math. Phys., 10(7), 989-1026.

Brandt, J., Damgård, I. B., Landrock, P. & Pedersen, T. (1998). Zero-knowledge authentication scheme with secret key exchange. Journal of Cryptology, 11(3), 147-159. https://doi.org/10.1007/s001459900041

Madsen, A. B., Pedersen, H., Poon, Y. S. & Swann, A. (1999). Corrigendum: Compact einstein-weyl manifolds with large symmetry group. Duke Mathematical Journal, 100(1). https://doi.org/10.1215/S0012-7094-99-10006-8

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

Dancer, A. & Swann, A. (1999). Quaternionic Kahler manifolds of cohomogeneity one. International Journal of Mathematics, 10(5), 541-570. https://doi.org/10.1142/S0129167X99000215

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

Ørsted, B. (2000). a review of: Holomorphy and convexity in Lie theory, by Karl-Hermann Neeb, de Gruyter. Bulletin of the AMS, 39(2), 287-291.

Møller, J. S. (2000). Two-body short-range systems in a time-periodic electric field. Duke Math. J., 105, 135-166.

Manuilov, V. & Thomsen, K. (2001). Asymptotically split extensions and E-theory. Saint Petersburg Mathematical Journal, 12(5), 819-830.

Plessis, A. D. & Vosegaard, H. (2001). Characterisation of strong smooth stability. Mathematica Scandinavica, 88(2), 193-228. http://www.mscand.dk/article.php?id=42

Kumar, S. & Thomsen, J. F. (2001). Frobenius splitting of Hilbert schemes of points on surfaces. Math. Ann., 319(4), 797-808.

Stetkær, H. (2001). Functional equations and spherical functions. In Abstracts of papers presented to the American Mathematical Society, vol. 22, nr. 1 (pp. 92)

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Revised 01.11.2023

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Lars Madsen