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Publications

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Korotyaev, E. & MØller, J. S. (2021). Schrödinger operators periodic in octants. Letters in Mathematical Physics, 111(2), Article 55. https://doi.org/10.1007/s11005-021-01402-4
Kock, A. (2003). Algebra of Principal Fibre Bundles and Connections. Department of Mathematical Sciences , University of Aarhus.
Kock, A. (2003). Differential calculus and nilpotent real numbers. Bulletin of Symbolic Logic, 9(2), 225-230.
Kock, A. (2003). Envelopes - notion and definiteness. Department of Mathematical Sciences , University of Aarhus.
Kock, A. (2003). First neighbourhood of the diagonal, and geometric distributions. Universitatis Iagellonicae Acta Mathematica, 41, 307-318.
Kock, A. (2001). Infinitesimal aspects of the Laplace operator. Theory and Applications of Categories, 9(1), 1-16.
Kock, A. (2003). The Stack Quotient of a Groupoid. Cahiers de Topologie et Geometrie Differentielle Categoriques, 44(2), 85-104.
Kock, A. & Reyes, G. E. (2004). Categorical distribution theory; heat equation. Department of Mathematical Sciences , University of Aarhus.
Kock, A. & Reyes, G. E. (2004). Ordinary differential equations and their exponentials. Department of Mathematical Sciences , University of Aarhus.
Kock, A. & Reyes, G. E. (2003). Some calculus with extensive quantities: wave equation. Theory and Applications of Categories, 11, 321-336.
Kock, A. (2004). A geometric theory of harmonic and semi-conformal maps. Central European Journal of Mathematics, 2(5), 708-724.
Kock, A. (2007). Group valued differential forms revisited. Department of Mathematical Sciences , University of Aarhus. http://www.imf.au.dk/publs?id=636
Kock, A. (2007). Principal bundles, groupoids, and connections. In J. Kubarski, J. Pradines, T. Rybicki & W. Robert (Eds.), Geometry and topology of manifolds: the mathematical legacy of Charles Ehresmann on the occasion of the hundredth anniversary of his birthday (pp. 185-200). Polish Academy of Sciences.
Kock, A. (2010). Synthetic geometry of manifolds. Cambridge University Press. Cambridge tracts in mathematics Vol. 180
Kock, A. (2010). Abstract projective lines. Cahiers de Topologie et Geometrie Differentielle Categoriques, 51(3), 224-240.
Kock, A. & Kock, J. (2013). Local fibred right adjoints are polynomial. Mathematical Structures in Computer Science, 23(1), 131-141. https://doi.org/10.1017/S0960129512000217
Kock, A. & Reyes, G. E. (2006). Distributions and heat equation in SDG. Cahiers de Topologie et Geometrie Differentielle Categoriques, 47(1), 2-28. http://www.numdam.org/item?id=CTGDC_2006__47_1_2_0
Kock, A. & Reyes, G. E. (2006). Ordinary differential equations and their exponentials. Central European Journal of Mathematics, 4(1), 64-81. https://doi.org/10.1007/s11533-005-0005-2
Kock, A. (2017). Metric spaces and SDG. Theory and Applications of Categories, 32(24), 803-822.
Kock, A. (2025). TWO THEOREMS OF LIE ON INFINITESIMAL SYMMETRIES OF DIFFERENTIAL EQUATIONS. Theory and Applications of Categories, 43(5), 93-107.
Kobayashi, T., Ørsted, B., Pevzner, M. & Unterberger, A. (2009). Composition formulas in the Weyl calculus. Journal of Functional Analysis, 257(4), 948-991. https://doi.org/10.1016/j.jfa.2008.12.023
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
Kobayashi, T., Ørsted, B., Somberg, P. & Soucek, V. (2015). Branching laws for Verma modules and applications in parabolic geometry. I. Advances in Mathematics, 285, 1796-1852. https://doi.org/10.1016/j.aim.2015.08.020
Kobak, P. & Swann, A. (2001). The hyperKähler geometry associated to Wolf spaces. Bollettino della Unione Matematica Italiana B, 4(3), 587-595.
Kobak, P. & Swann, A. (2001). HyperKähler potentials in cohomogeneity two. Journal fur die Reine und Angewandte Mathematik, 531, 121-139.
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
Kobak, P. Z. & Swann, A. (1993). Quaternionic geometry of a nilpotent variety. Mathematische Annalen, 297(1), 747-764. https://doi.org/10.1007/BF01459528
Kobak, P. Z. & Swann, A. F. (2022). The nonlinear graviton and related constructions: Exceptional Hyper-Kähler Reductions. In Further advances in twistor theory: Volume III: Curved twistor spaces (Vol. 3, pp. 81-84). CRC Press.
Khayutin, I., Nelson, P. D. & Steiner, R. S. (2024). Theta functions, fourth moments of eigenforms and the sup-norm problem II. Forum of Mathematics, Pi, 12, Article e11. https://doi.org/10.1017/fmp.2024.9
Kashiwara, M. & Lauritzen, N. (2002). Local Cohomology and $D$-Affinity in Positive Characteristic. Department of Mathematical Sciences , University of Aarhus.
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), Article 25. https://doi.org/10.1007/s12044-019-0470-3