My primary research interest is arithmetic of automorphic forms, especially mod p and p-adic aspects, and connections to Galois representations.

Some recent 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

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