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Department of Mathematics

Publications

1982

Contribution to journal

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.

1988

Contribution to book anthology

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

1991

Contribution to journal

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

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

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

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

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

1993

Book anthology

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

1993

Contribution to book anthology

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

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

1994

Contribution to journal

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

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

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

1994

Contribution to book anthology

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.

1995

Contribution to journal

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

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

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

1995

Contribution to book anthology

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.

1996

Contribution to journal

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

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.

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

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

1996

Contribution to book anthology

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.

1997

Contribution to journal

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

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

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

1997

Book anthology

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

1998

Contribution to journal

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

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

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.

1998

Book anthology

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

1999

Contribution to journal

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

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

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

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

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.

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

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

Kobak, P. & Swann, A. (2001). The hyperKähler geometry associated to Wolf spaces. Bollettino della Unione Matematica Italiana B, 4(3), 587-595.

Kock, A. (2001). Infinitesimal aspects of the Laplace operator. Theory and Applications of Categories, 9(1), 1-16.

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Revised 01.11.2023

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Lars Madsen