Peer reviewed papers:

36. B. W. Advocaat, I. Kiming, G. Wiese: A conjecture of Coleman on the Eisenstein family. Preprint version: https://arxiv.org/abs/2207.03822
35. I. Kiming, N. Rustom: Eisenstein series, $p$-adic modular functions, and overconvergence, II. Res.\ Number Theory 10, Article number: 4 (2024). https://rdcu.be/dtyrh Preprint version: https://arxiv.org/abs/2302.02630
34. I. Kiming, N. Rustom: Eisenstein series, $p$-adic modular functions, and overconvergence. Res. Number Theory. 7, Article number: 65 (2021), https://rdcu.be/cy3Bj  Preprint version: https://arxiv.org/abs/2010.01325
33. I. Kiming, N. Rustom: Dihedral group, $4$-torsion on an elliptic curve, and a peculiar eigenform modulo $4$. SIGMA Symmetry Integrability Geom. Methods Appl. 14 (2018), Paper No. 057, 13 pp. Preprint version: https://arxiv.org/abs/1802.04976
32. I Kiming, N. Rustom, G. Wiese: On certain finiteness questions in the arithmetic of modular forms, J. London Math. Soc. 94 (2016), 479--502. Preprint version: https://arxiv.org/abs/1408.3249
31. I. Chen, I. Kiming: On the theta operator for modular forms modulo prime powers, Mathematika 62 (2016), 321--336. Preprint version: https://arxiv.org/abs/1301.3087
30. I. Kiming: Lifts of projective congruence groups, II , Proc. Amer. Math. Soc. 142 (2014), 3761--3770. Preprint version: https://arxiv.org/abs/1112.6250
29. F. Q. Gouvea, I. Kiming, N. Yui: Quadratic twists of rigid Calabi-Yau threefolds over ${\mathbb Q}$, in: M. Schütt, R. Laza, N. Yui (eds.) Arithmetic and geometry of K3 surfaces and Calabi-Yau threefolds, Fields Institute Communications, Vol. 67, 517--533, Springer Science 2013.  Preprint version: https://arxiv.org/abs/1111.5275
28. I. Chen, I. Kiming, G. Wiese: On modular Galois representations modulo prime powers, Int. J. Number Theory 9 (2013), 91--113. Preprint version: https://arxiv.org/abs/1105.1918
27. S. Eilers, I. Kiming: On some new invariants for shift equivalence for shifts of finite type , J. Number Theory 132 (2012), 502--510. Preprint version: https://arxiv.org/abs/0809.2713
26. I. Kiming, M. Schütt, H. A. Verrill: Lifts of projective congruence groups, J. London Math. Soc. (2) 83 (2011), 96--120.. Preprint version: https://arxiv.org/abs/0905.4798
25. I. Chen, I. Kiming, J. B. Rasmussen: On congruences mod ${\mathfrak p}^m$ between eigenforms and their attached Galois representations , J. Number Theory 130 (2010), 608--619. Preprint version: https://arxiv.org/abs/0809.3622
24. I. Kiming: New models for the action of Hecke operators in spaces of Maass wave forms. Ann. Inst. Fourier (Grenoble) 57 (2007), 1863--1882. Preprint version: https://arxiv.org/abs/math/0702480
23. I. Kiming: The mathematics of Public Key cryptography. Survey article in: Gamma, Tidsskrift for fysik, nr. 137 (2005), 15--30. pdf
22. I. Kiming, H. Verrill: On modular mod $\ell$ representations with exceptional images, J. Number Theory 110 (2005), 236--266. Preprint version: https://arxiv.org/abs/math/0311082
21. I. Kiming, P. Frederiksen: Galois representations of dihedral type over ${\mathbb Q}_p$, Acta Arith. 111 (2004), 43--59. Preprint version
20. I. Kiming, C. Khare: Mod $pq$ Galois representations and Serre's conjecture, J. Number Theory 98 (2003), 329--347. Preprint version: https://arxiv.org/abs/math/0210404
19. I. Kiming: Maass wave forms and Hecke operators, pp. 69-71 in: G. Frey (ed.): Proc. of the research conference on Number Theory and Arithmetical Geometry: Arithmetical applications of modular forms, Spain, 1997. IEM, Univ. of Essen, 1998.
18. I. Kiming: On the asymptotics of the number of $\bar{p}$-core partitions of integers, Acta Arith. LXXX, 2 (1997), 127--139. Preprint version
17. I. Kiming: On the existence of $\bar{p}$-core partitions of natural numbers, Quart. J. Math. Oxford Ser. (2) 48 (1997), 59--65. Preprint version
16. I. Kiming: A note on a theorem of A. Granville and K. Ono, J. Number Theory 60 (1996), 97--102. Preprint version
15. I. Kiming: On the liftings of $2$-dimensional projective Galois representations over ${\mathbb Q}$, J. Number Theory 56 (1996), 12--35. Preprint version
14. I. Kiming: Automorphic waveforms on the upper halfplane: Cohomological interpretations and Hecke theory, Habilitationsschrift, Univ. of Essen, 1996, 83 pages (in German).
13. I. Kiming: Some remarks on a certain class of finite $p$-groups, Math. Scand. 76 (1995), 35--49. Preprint version
12. I. Kiming: On certain problems in the analytical arithmetic of quadratic forms arising from the theory of curves of genus $2$ with elliptic differentials, Manuscripta math. 87 (1995), 101--129. Preprint version
11. I. Kiming, X. Wang: Examples of $2$-dimensional, odd Galois representations of $A_5$-type over ${\mathbb Q}$ satisfying the Artin conjecture, pp. 109--121 in: G. Frey (ed.): On Artin's conjecture for odd 2-dimensional representations. Lecture Notes in Mathematics 1585, Springer 1994. Preprint version
10. I. Kiming, J. Basmaji: A table of $A_5$-fields, pp. 37--46 and 122--141 in: G. Frey (ed.): On Artin's conjecture for odd 2-dimensional representations. Lecture Notes in Mathematics 1585, Springer 1994. Preprint version
09. I. Kiming: On the experimental verification of the Artin conjecture for $2$-dimensional odd Galois representations over ${\mathbb Q}$. Liftings of $2$-dimensional projective Galois representations over ${\mathbb Q}$, pp. 1--36 in: G. Frey (ed.): On Artin's conjecture for odd 2-dimensional representations. Lecture Notes in Mathematics 1585, Springer 1994. Preprint version
08. I. Kiming: Applications of massive computations: The Artin conjecture, pp. 185--199 in: M. Gyllenberg, L. E. Persson (eds.): Analysis, algebra and computers in mathematical research. Proceedings of the twenty-first Nordic congress of mathematicians. Lecture Notes in pure and applied mathematics 156, Marcel dekker 1994. Preprint version
07. I. Kiming, J. B. Olsson: Congruences like Ramanujan's for powers of the partition function, Arch. Math. (Basel) 59 (1992), 348--360.
06. I. Kiming: Explicit classification of some $2$-extensions of a field of characteristic different from $2$, Canad. J. Math. 42 (1990), 825--855.
05. I Kiming: The classification of certain low-order $2$-extensions of a field of characteristic different from $2$, C. R. Math. Rep. Acad. Sci. Canada \textbf{11} (1989), 57--61.
04. I. Kiming: Obstruction theory for field embedding problems in Galois theory with special emphasis on central embedding problems and constructive theory of $p$-extensions, University of Copenhagen 1988 prize question in mathematics (awarded a gold medal). Copenhagen 1989, 111 pages (in Danish).
03. I. Kiming: The classification of certain low-order $2$-extensions of a field of characteristic different from $2$, C.R. Math.Rep. Acad. Sci. Canada 9 (1989), 57--61.
02. I. Kiming: Contributions to the theory of finite $p$-groups, Ph.D. thesis, Univ. of Copenhagen 1989, 55 pages (in Danish).
01. I. Kiming: Structure and derived length of finite $p$-groups possessing an automorphism of $p$-power order having exactly $p$ fixpoints, Math. Scand. 62 (1988), 153--172. Preprint version

Some lecture notes etc.:

05. I. Kiming: Construction of the real numbers, Department of Mathematical Sciences, University of Copenhagen 2020, 20 pages. pdf
04. J. Lützen and I. Kiming: Matematisk Metode, Department of Mathematical Sciences, University of Copenhagen 2008, 187 pages, ISBN 978-87-91180-32-3
03. I. Kiming: Supplement til `Chapter zero'. Pages 235--319 in `Mathematical Method', Pearson Custom Publication 2006, ISBN 13-978-84658-326-1.
02. I. Kiming: Om kongruenstal. Survey article on the congruent number problem (in Danish), Manuscript, 10 pp., 2002.
01. I. Kiming: Fermat's sidste s{\ae}tning: En oversigt. Survey article on the proof of Fermat's last theorem (in Danish), Manuscript, 36 pages, 1999.