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Department of Mathematics

Publications

Swann, A. F. (2012). Zhang, Xi. Some invariants in Sasakian geometry. Int. Math. Res. Not. IMRN 2011, no. 15, 3335--3367. Mathematical Reviews, Article MR2822176.

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

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

Bugeaud, Y., Dodson, M. M. & Kristensen, S. (2005). Zero-infinity laws in Diophantine approximation. Quarterly Journal of Mathematics, 56(3), 311-320.

Skibsted, E. & Fournais, S. (2005). Zero energy asymptotics of the resolvent in the long-range case. In J-C. Zambrini (Ed.), XIVth International Congress on Mathematical Physics: Lisbon 28 July -- 2 August 2003 (pp. 611-618). World Scientific.

Fournais, S. & Skibsted, E. (2004). Zero energy asymptotics of the resolvent for a class of slowly decaying potentials. Math. Z., 248(3), 593-633.

Stetkær, H. (2003). Wilson's functional equation on metabelian groups. In The Fortieth International Symposium on Functional Equations (pp. 302)

Herschend, M., Jørgensen, P. & Vaso, L. (2020). Wide subcategories of d-cluster tilting subcategories. Transactions of the American Mathematical Society, 373(4), 2281-2309. https://doi.org/10.1090/tran/8051

Chang, A., Eastwood, M., Ørsted, B. & Yang, P. (2008). What is Q-curvature? Acta Applicandae Mathematicae, 102(2-3), 119-125. https://doi.org/10.1007/s10440-008-9229-z

Korotyaev, E. & Møller, J. S. (2019). Weighted estimates for the Laplacian on the cubic lattice. Arkiv foer Matematik, 57(2), 397-428. https://doi.org/10.4310/ARKIV.2019.v57.n2.a8

Ørsted, B. & Said, S. B. (2005). Wave equations for the Dunkl differential-difference operators. Indagationes Mathematicae, 16(3-4), 351-391.

Salem, B. S. & Ørsted, B. (2004). Wave Equations for Dunkl Differential-difference Operators. Department of Mathematical Sciences , University of Aarhus.

Plessis, A. D. (2006). Versality Properties of Projective Hypersurfaces. In J-P. Brasselet & M. A. Soares Ruas (Eds.), Real and Complex Singularities: São Carlos Workshop 2004 (pp. 289-298). Birkhäuser Verlag.

Stetkær, H. (2016). Van Vleck’s functional equation for the sine. Aequationes Mathematicae, 90(1), 25-34. https://doi.org/10.1007/s00010-015-0349-z

Frahm, J. & Su, F. (2018). Upper bounds for geodesic periods over rank one locally symmetric spaces. Forum Mathematicum, 30(5), 1065-1077. https://arxiv.org/pdf/1709.00935.pdf

Gover, A. R. & Ørsted, B. (2013). Universal principles for Kazdan-Warner and Pohozaev-Schoen type identities. Communications in Contemporary Mathematics, 15(4), Article 1350002. https://doi.org/10.1142/S0219199713500028

Tomasini, G. & Ørsted, B. (2014). Unitary representations of the universal cover of SU(1, 1) and tensor products. Kyoto Journal of Mathematics, 54(2), 311-352. https://doi.org/10.1215/21562261-2642413

Hasebe, T. & Thorbjørnsen, S. (2016). Unimodality of the freely selfdecomposable probability laws. Journal of Theoretical Probability, 29(3), 922-940. https://doi.org/10.1007/s10959-015-0595-y

Moslehian, M. S., Størmer, E., Thorbjørnsen, S. & Winsløw, C. (2018). Uffe Haagerup - his life and mathematics. Advances in Operator Theory, 3(1), 295-325. https://doi.org/10.22034/AOT.1708-1213

Freibert, M. & Swann, A. (2021). Two-step solvable SKT shears. Mathematische Zeitschrift, 299(3-4), 1703-1739. https://doi.org/10.1007/s00209-021-02753-3

Lauritzen, N. & Thomsen, J. F. (2015). Two properties of endomorphisms of Weyl algebras. arXiv.org. http://arxiv.org/abs/1508.02499

Lauritzen, N. & Thomsen, J. F. (2017). Two properties of endomorphisms of Weyl algebras. Journal of Algebra, 479, 137-158. https://doi.org/10.1016/j.jalgebra.2016.12.036

Baas, N. A., Bökstedt, M. & Kro, T. A. (2012). Two-categorical bundles and their classifying spaces. Journal of K-Theory, 10(2), 299-369. https://doi.org/10.1017/is012001012jkt181

Skibsted, E. & Wang, X. P. (2011). Two-body threshold spectral analysis, the critical case. Journal of Functional Analysis, 260(6), 1766-1794. https://doi.org/10.1016/j.jfa.2010.12.014

Skibsted, E. & Wang, X. P. (2010). Two-body threshold spectral analysis, the critical case. Aarhus University, Department of Mathematical Sciences. http://www.imf.au.dk/publs?publid=873

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

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

Swann, A. F. (2016). Twists versus modifications. Advances in Mathematics, 303, 611-637. https://doi.org/10.1016/j.aim.2016.08.028

Dancer, A., Kirwan, F. & Swann, A. F. (2014). Twistor spaces for hyperkähler implosions. Journal of Differential Geometry, 97(1), 37-77. http://projecteuclid.org/euclid.jdg/1404912102

Swann, A. (2010). Twisting Hermitian and hypercomplex geometries. Duke Mathematical Journal, 155(2), 403-431. https://doi.org/10.1215/00127094-2010-059

Macia, O. & Swann, A. F. (2015). Twist geometry of the c-map. Communications in Mathematical Physics, 336(3), 1329-1357. https://doi.org/10.1007/s00220-015-2314-z

Frahm, J. & Spilioti, P. (2023). Twisted Ruelle zeta function at zero for compact hyperbolic surfaces. Journal of Number Theory, 243, 38-61. https://doi.org/10.1016/j.jnt.2022.08.003

Jorgensen, P. (2021). Tropical friezes and the index in higher homological algebra. Mathematical Proceedings of the Cambridge Philosophical Society, 171(1), 23-49. https://doi.org/10.1017/S0305004120000031

Bennett-Tennenhaus, R. & Shah, A. (2021). Transport of structure in higher homological algebra. Journal of Algebra, 574, 514-549. https://doi.org/10.1016/j.jalgebra.2021.01.019

Bérczi, G. (2019). Towards the Green–Griffiths–Lang conjecture via equivariant localisation. Proceedings of the London Mathematical Society, 118(5), 1057-1083. https://doi.org/10.1112/plms.12197

Swann, A. F. (2022). Tosatti, Valentino and Zhang, Yuguang. Collapsing Hyperkähler manifolds. Ann. Sci. Éc. Norm. Supér. (4) 53 (2020), no. 3, 751--786. MathSciNet, Article MR4118528.

Otiman, A-I., Istrati, N., Pontecorvo, M. & Ruggiero, M. (2022). Toric Kato manifolds. Journal de l'Ecole Polytechnique, 9, 1347-1395. https://doi.org/10.5802/jep.208

Dancer, A. & Swann, A. (2007). Toric hypersymplectic quotients. Transactions of the American Mathematical Society, 359(3), 1265-1284. https://doi.org/10.1090/S0002-9947-06-03925-0

Madsen, T. B. & Swann, A. F. (2018). Toric geometry of Spin(7)-manifolds. arXiv.org. https://arxiv.org/abs/1810.12962

Madsen, T. B. & Swann, A. F. (2021). Toric geometry of Spin(7)-manifolds. International Mathematics Research Notices, 2021(21), 16511-16529. https://doi.org/10.1093/imrn/rnz279

Madsen, T. B. & Swann, A. F. (2018). Toric geometry of G2-manifolds. arXiv.org. https://arxiv.org/abs/1803.06646

Madsen, T. B. & Swann, A. F. (2019). Toric geometry of G2-manifolds. Geometry & Topology, 23(7), 3459-3500. https://doi.org/10.2140/gt.2019.23.3459

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

Ito, K. & Skibsted, E. (2019). Time-dependent scattering theory on manifolds. Journal of Functional Analysis, 277(5), 1423-1468. https://doi.org/10.1016/j.jfa.2019.05.016

Chang, A., Eastwood, M., Gover, R., Jorgensen, P., Ólafsson, G., Ørsted, B., Yang, P., Peterson, L., Svidersky, O., Ugalde, W. & Hong, D. (2008). Thomas P. Branson (1953-2006): Professor of Mathematics, University of Iowa. Acta Applicandae Mathematicae, 102(2-3), 127-129. https://doi.org/10.1007/s10440-008-9230-6

Møller, J. S. (2005). The translation invariant massive Nelson model: I. The bottom of the spectrum. Annales Henri Poincare, 6, 1091--1135.

Møller, J. S. & Rasmussen, M. G. (2013). The translation Invariant Massive Nelson Model: II. The Continuous Spectrum Below the Two-boson Threshold. Annales Henri Poincare, 14(4), 793-852. https://doi.org/10.1007/s00023-012-0208-6

Dybalski, W. & Møller, J. S. (2015). The translation invariant massive Nelson model: III. Asymptotic completeness below the two-boson threshold. Annales Henri Poincare, 16(11), 2603-2693. https://doi.org/10.1007/s00023-014-0384-7

Bökstedt, M. & Ottosen, I. (2004). The suspended free loop space of a symmetric space. Department of Mathematical Sciences , University of Aarhus.

Carlsen, T. M. & Thomsen, K. (2012). The structure of the C*-algebra of a locally injective surjection. Ergodic Theory and Dynamical Systems, 32(4), 1226-1248. https://doi.org/10.1017/S0143385711000216

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Lars Madsen