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Department of Mathematics

Publications

Ebanks, B. & Stetkær, H. (2015). d’Alembert’s other functional equation on monoids with an involution. Aequationes Mathematicae, 187-206. https://doi.org/10.1007/s00010-014-0303-5

Swann, A. F. (2013). de Andrés, L. C.; Fernández, M.; Ivanov, S.; Santisteban, J. A.; Ugarte, L.; Vassilev, D. Bianchi type A hyper-symplectic and hyper-Kähler metrics in 4D. Classical Quantum Gravity 29 (2012), no. 2, 025003, 18 pp. Mathematical Reviews, [MR2873990].

Ebanks, B. & Stetkaer, H. (2015). d'Alembert's other functional equation. Publicationes mathematicae-Debrecen, 87(3-4), 319-349. [6]. https://doi.org/10.5486/PMD.2015.7195

Stetkær, H. (2002). d'Alembert's and Wilson's functional equations on step 2 nilpotent group. Department of Mathematical Sciences , University of Aarhus.

Jørgensen, P. & Yakimov, M. (2020). c-vectors of 2-Calabi-Yau categories and Borel subalgebras of sl infinity. Selecta Mathematica, 26(1), [1]. https://doi.org/10.1007/s00029-019-0525-4

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.

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

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.

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. Lecture Notes in Computer Science Vol. 403 https://doi.org/10.1007/0-387-34799-2_43

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). Aequationes Mathematicae Vol. 65 (2003)

Herschend, M., Jørgensen, P. & Vaso, L. (2020). Wide subcategories of d-cluster tilting subcategories. Transactions of the American Mathematical Society, 373, 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), [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

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

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.

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. https://doi.org/10.1016/j.jalgebra.2016.12.036

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

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

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

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, [MR4118528].

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

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

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

Fournais, S., Hoffmann-Ostenhof, M. & Sørensen, T. Ø. (2008). Third derivative of the one-electron density at the nucleus. Annales Henri Poincare, 9(7), 1387-1412. https://doi.org/10.1007/s00023-008-0390-8

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Lars Madsen