- Kevin Buzzard and L. J. P. Kilford, The 2-adic eigencurve at the boundary of weight space, Compos. Math. 141 (2005), no. 3, 605–619.[MR]
- L. J. P. Kilford, Slopes of overconvergent modular forms, PhD Thesis, Imperial College, University of London, 2002.[link]
- L. J. P. Kilford, Some non-Gorenstein Hecke algebras attached to spaces of modular forms, J. Number Theory 97 (2002), no. 1, 157–164.[MR]
- L. J. P. Kilford, Slopes of 2-adic overconvergent modular forms with small level, Math. Res. Lett. 11 (2004), no. 5-6, 723–739.[MR]
- L. J. P. Kilford, Generating spaces of modular forms with η-quotients, JP J. Algebra Number Theory Appl. 8 (2007), no. 2, 213–226.[MR/arXiv]
- L. J. P. Kilford, Modular forms, Imperial College Press, London, 2008, pp. xxii+224.[MR]
- L. J. P. Kilford, On a p-adic extension of the Jacquet-Langlands correspondence to weight 1, preprint (2008), 17 pages.[arXiv]
- L. J. P. Kilford, On mod p modular representations which are defined over Fp, Glas. Mat. Ser. III 43(63) (2008), no. 1, 1–6.[MR/arXiv]
- L. J. P. Kilford, On the slopes of the U5 operator acting on overconvergent modular forms, J. Théor. Nombres Bordeaux 20 (2008), no. 1, 165–182.[MR/arXiv]
- L. J. P. Kilford, Experimental finding of modular forms for noncongruence subgroups, preprint (2009), 12 pages.[arXiv]
- L. J. P. Kilford, On the Up operator acting on p-adic overconvergent modular forms when X0(p) has genus 1, J. Number Theory 130 (2010), no. 3, 586–594.[MR/doi/arXiv]
- L. J. P. Kilford and Gabor Wiese, On the failure of the Gorenstein property for Hecke algebras of prime weight, Experiment. Math. 17 (2008), no. 1, 37–52.[MR/arXiv]
- L. J. P. Kilford and Gabor Wiese, On mod p representations which are defined over Fp: ii, Glasgow Math. J. 52 (2010), 391–400.[doi]