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Institut for Matematik

Publications

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Fournais, S. & Helffer, B. (2005). Energy asymptotics for Type II superconductors. Calc. Var. Partial Differential Equations, 24(3), 341-376.

Kock, A. (2007). Envelopes - notion and definiteness. Beitraege zur Algebra und Geometrie, 48(2), 345-350. http://www.emis.de/journals/BAG/vol.48/no.2/b48h2koc.pdf

Thomsen, K. & Christensen, J. (2018). Equilibrium and ground states from Cayley graphs. Journal of Functional Analysis. https://doi.org/10.1016/j.jfa.2017.06.019

Arkhipov, S. & Kanstrup, T. (2017). Equivariant matrix factorizations and hamiltonian reduction. Bulletin of the Korean Mathematical Society, 54(5), 1803-1825. https://doi.org/10.4134/BKMS.b160758

Möllers, J. & Ørsted, B. (2017). Estimates for the restriction of automorphic forms on hyperbolic manifolds to compact geodesic cycles. International Mathematics Research Notices, 11(1), 3209-3236. https://doi.org/10.1093/imrn/rnw119

Fournais, S. & Sørensen, T. Ø. (2021). Estimates on derivatives of Coulombic wave functions and their electron densities. Journal fur die Reine und Angewandte Mathematik, 2021(775). https://doi.org/10.1515/crelle-2020-0047

Thomsen, K. (2015). Exact circle maps and KMS states. Israel Journal of Mathematics, 205(1), 397-420. https://doi.org/10.1007/s11856-014-1124-x

Hassoun, S., Shah, A. & Wegner, S-A. (2021). Examples and non-examples of integral categories and the admissible intersection property. Cahiers de Topologie et Geometrie Differentielle Categoriques, LXII(3), 329-354. http://cahierstgdc.com/wp-content/uploads/2021/07/Hassoun-Shah-Wegner-LXII-3.pdf

Spotti, C., Sun, S. & Yao, C. (2016). Existence and deformations of Kähler–Einstein metrics on smoothable ℚ-Fano varieties. Duke Mathematical Journal, 165(16), 3043-3083.

Sjöström Dyrefelt, Z. (2022). Existence of cscK metrics on smooth minimal models. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, XXIII(1), 223-232. https://doi.org/10.2422/2036-2145.202005_021

Fournais, S., Kachmar, A. & Pan, X. B. (2018). Existence of surface smectic states of liquid crystals. Journal of Functional Analysis, 274(3), 900-958. https://doi.org/10.1016/j.jfa.2017.10.001

Spotti, C. & Sun, S. (2017). Explicit Gromov–Hausdorff compactifications of moduli spaces of Kähler–Einstein Fano manifolds. Pure and Applied Mathematics Quarterly, 13(3), 477-515. https://doi.org/10.4310/PAMQ.2017.v13.n3.a5

Thomsen, K. & Manuilov, V. (2007). Extensions of C*-algebras and translation invariant asymptotic homomorphisms. Mathematica Scandinavica, 100(1), 131-160.

Ebanks, B. & Stetkær, H. (2018). Extensions of the Sine Addition Formula on Monoids. Results in Mathematics, 73(3), [119]. https://doi.org/10.1007/s00025-018-0880-z

Seebach, J. & Thomsen, K. (2010). Extensions of the reduced group C*-algebra of a free product of amenable groups. Advances in Mathematics, 223(5), 1845-1954. https://doi.org/10.1016/j.aim.2009.10.013

Stetkær, H. (2019). Extensions of the sine addition law on groups. Aequationes Mathematicae, 93(2), 467-484. https://doi.org/10.1007/s00010-018-0584-1

Christiansen, E., Swann, A. & Sørensen, T. I. A. (2008). Feedback models allowing estimation of thresholds for self-promoting body weight gain. Journal of Theoretical Biology, 254(4), 731-736. https://doi.org/10.1016/j.jtbi.2008.07.004

Jensen, A. N., Kahle, T. & Katthän, L. (2017). Finding binomials in polynomial ideals. Research In the Mathematical Sciences, 4(16). https://doi.org/10.1186/s40687-017-0106-0

Christensen, J. & Thomsen, K. (2016). Finite digraphs and KMS states. Journal of Mathematical Analysis and Applications, 433(2), 1626-1646. [19757]. https://doi.org/10.1016/j.jmaa.2015.08.060

Hampton, M. & Jensen, A. N. (2015). Finiteness of relative equilibria in the planar generalized N-body problem with fixed subconfigurations. Journal of geometric mechanics, 7(1), 35-42. https://doi.org/10.3934/jgm.2015.7.35

Hilgert, J., Kobayashi, T., Möllers, J. & Ørsted, B. (2012). Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups. Journal of Functional Analysis, 263(11), 3492–3563. https://doi.org/10.1016/j.jfa.2012.08.026

Cuntz, M., Holm, T. & Jørgensen, P. (2020). Frieze patterns with coefficients. Forum of Mathematics, Sigma, 8, [e17]. https://doi.org/10.1017/fms.2020.13

Çanakçı, İ. & Jørgensen, P. (2021). Friezes, weak friezes, and T-paths. Advances in Applied Mathematics, 131, [102253]. https://doi.org/10.1016/j.aam.2021.102253

He, X. & Thomsen, J. F. (2008). Frobenius splitting and geometry of $G$-Schubert varieties. Advances in Mathematics, 219(5), 1469-1512. https://doi.org/10.1016/j.aim.2008.06.018

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

Thomsen, J. F. (2006). Frobenius splitting of equivariant closures of regular conjugacy classes. Proc. London. Math. Soc., 93(3), 570-592.

Møller, J. S. (2014). Fully coupled Pauli-Fierz systems at zero and positive temperature. Journal of Mathematical Physics, 55(7), [075203]. https://doi.org/10.1063/1.4879239

Stetkær, H. (2005). Functional equations and matrix-valued spherical functions. Aequationes Mathematicae, 69, 271-292.

Chiossi, S. G. & Swann, A. (2005). G₂-structures with torsion from half-integrable nilmanifolds. Journal of Geometry and Physics, 54(3), 262-285. https://doi.org/10.1016/j.geomphys.2004.09.009

Kannan, S. S. & Thomsen, J. F. (2019). GIT quotient of a Bott–Samelson–Demazure–Hansen variety by a maximal torus. Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 129(2), [25]. https://doi.org/10.1007/s12044-019-0470-3

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

Clerc, J-L., Kobayashi, T., Ørsted, B. & Pevzner, M. (2011). Generalized Bernstein-Reznikov integrals. Mathematische Annalen, 349(2), 395-431. https://doi.org/10.1007/s00208-010-0516-4

Salem, B. S., Kobayashi, T. & Ørsted, B. (2009). Generalized Fourier transforms F_k,a. Comptes Rendus Mathématique, 347(19-20), 1119-1124. https://doi.org/10.1016/j.crma.2009.07.015

Kobayashi, T., Ørsted, B. & Pevzner, M. (2011). Geometric analysis on small unitary representations of GL(N,R). Journal of Functional Analysis, 260(6), 1682-1720. https://doi.org/10.1016/j.jfa.2010.12.008

Feragen, A., Nielsen, M., Jensen, E. B. V., du Plessis, A. & Lauze, F. (2014). Geometry and Statistics: Manifolds and Stratified Spaces. Journal of Mathematical Imaging and Vision, 50(1-2), 1-4. https://doi.org/10.1007/s10851-014-0504-5

He, X. & Thomsen, J. F. (2007). Geometry of $B\times B$-orbit closures in equivariant embeddings. Advances in Mathematics, 216, 626-646. https://doi.org/10.1016/j.aim.2007.06.001

Ørsted, B. & Wolf, J. A. (2010). Geometry of the Borel-de Siebenthal discrete series. Journal of Lie Theory, 20(1), 175-212.

Cruz-Sampedro, J. & Skibsted, E. (2013). Global solutions to the eikonal equation. Journal of Differential Equations, 255(12), 4337-4377. https://doi.org/10.1016/j.jde.2013.08.002

Jørgensen, P. & Yakimov, M. (2022). Green groupoids of 2-Calabi–Yau categories, derived Picard actions, and hyperplane arrangements. Transactions of the American Mathematical Society, 375(11), 7981-8031. https://doi.org/10.1090/tran/8770

Thomsen, K. (2021). Ground States for Generalized Gauge Actions on UHF Algebras. Communications in Mathematical Physics, 386(1), 57-85. https://doi.org/10.1007/s00220-021-04075-1

Fournais, S., Napiorkowski, M., Reuvers, R. & Solovej, J. P. (2019). Ground state energy of a dilute two-dimensional Bose gas from the Bogoliubov free energy functional. Journal of Mathematical Physics, 60(7), [071903]. https://doi.org/10.1063/1.5096987

Bley, G. A. & Fournais, S. (2019). Hardy–Lieb–Thirring Inequalities for Fractional Pauli Operators. Communications in Mathematical Physics, 365(2), 651-683. https://doi.org/10.1007/s00220-018-3204-y

Möllers, J. (2014). Heat kernel analysis for Bessel operators on symmetric cones. Journal of Lie Theory, 24(2), 373-396. http://www.heldermann.de/JLT/JLT24/JLT242/jlt24016.htm

Lopez, M. C., Gadea, P. M. & Swann, A. F. (2006). Homogeneous quaternionic Kahler structures and quaternionic hyperbolic space. Transformation Groups, 11(4), 575-608. https://doi.org/10.1007/s00031-005-1124-3

López, M. C., Gadea, P. M. & Swann, A. F. (2009). Homogeneous structures on real and complex hyperbolic spaces. Illinois Journal of Mathematics, 53(2), 561-574.

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

Stetkær, H. (2022). Homomorphisms of Product Semigroups. Results in Mathematics, 77(2), [60]. https://doi.org/10.1007/s00025-022-01603-w

Thomsen, K. (2006). Homotopy invariance in E-theory. Homology, Homotopy and Applications, 8(2), 29-49.

Arkhipov, S. & Ørsted, S. (2021). Homotopy limits in the category of dg-categories in terms of A_∞-comodules. European Journal of Mathematics, 7(2), 671-705. https://doi.org/10.1007/s40879-020-00439-4

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

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Revideret 08.03.2023

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Lars Madsen