Chris Williams

EPSRC Postdoctoral Fellow/Warwick Zeeman Lecturer
 

Office: N/A

Phone: N/A

Email: chris dot williams at nottingham dot ac dot uk

Personal Webpage

I haved moved: as of September 2022, I am an Assistant Professor of Pure Mathematics at Nottingham.

My personal homepage is more likely to be up-to-date than this one.

My research is supported by grant EP/T001615/1.

Teaching 2021/22:  MA4M3 Local Fields (Term 2)

In January-March 2020, I gave an extended version of my course with Joaquin Rodrigues on an introduction to p-adic L-functions at the TCC in Warwick. The course page is here.

On 27th July, I organised an informal one-day workshop at Warwick. For more details, see [ here ].

Preprints

• P-adic L-functions for GL(3), with D. Loeffler. 36pp (arXiv)
• On p-adic L-functions for GL(2n) in finite slope Shalika families, with D. Barrera and M. Dimitrov. 101 pp. (arXiv)

Publications

• Arithmetic of p-irregular modular forms: families and p-adic L-functions, with A. Betina. Mathematika, 67 (2021), no.4, pp.917-948 (arXiv | Journal)

• Parabolic eigenvarieties via overconvergent cohomology, with D. Barrera. Mathematische Zeitschrift, 299 (2021), no.1, pp.961-995 (arXiv | Journal)

• Overconvergent cohomology, p-adic L-functions and familes for GL(2) over CM fields, with D. Barrera. Journal de Théorie des Nombres de Bordeaux, Iwasawa 2019 special issue, to appear. 31 pp. (arXiv)

• Stark-Heegner cycles attached to Bianchi modular forms, with G. Venkat. Journal of the London Mathematical Society, 104 (2021), no. 1, pp. 394-422 (arXiv | Journal)

• Overconvergent Hilbert modular forms via perfectoid modular varieties, with C. Birkbeck and B. Heuer. Annales de l'Institut Fourier, to appear. 48 pp. (arXiv)

• Families of Bianchi modular symbols: critical base-change p-adic L-functions and p-adic Artin formalism, with D. Barrera. Selecta Mathematica, 27 (2021), no.82, pp. 1-45. With an appendix by Carl Wang-Erickson (arXiv | Journal)

• P-adic Asai L-functions of Bianchi modular forms, with D. Loeffler. Algebra and Number Theory, 14 (2020), no. 7, pp. 1169-1710 (arXiv | Journal)

• Exceptional zeros and L-invariants of Bianchi modular forms, with D. Barrera. Transactions of the American Mathematical Society, 372 (2019), no. 1, pp. 1-34 (arXiv | Journal)

• P-adic L-functions for GL(2), with D. Barrera. Canadian Journal of Mathematics, 71 (2019), no. 5, pp. 1019-1059 (arXiv | Journal)

• Lifting non-ordinary cohomology classes for SL(3). Publicacions Matemàtiques, 62 (2018), no. 2, pp. 651-675 (arXiv | Journal)

• P-adic L-functions of Bianchi modular forms. Proceedings of the London Mathematical Society, 114 (2017), no. 4, pp. 614-656 (arXiv | Journal)