David Helm
Imperial College
Office: 672 Huxley
Curriculum Vitae (last updated Sep 2021)
Papers
- Moduli of Langlands parameters
(With Jean-Francois Dat, Gilbert Moss, and Robert Kurinczuk)
- Coherent Springer theory and the categorical Deligne-Langlands correspondence
(With David Ben-Zvi, Harrison Chen, and David Nadler)
- An ordinary abelian variety with an etale self-isogeny of p-power degree and no isotrivial factors
to appear in Math. Res. Lett, 6 pages
PDF
- Potential automorphy over CM fields
(With Patrick Allen, Frank Calegari, Ana Caraiani, Toby Gee, Bao Le Hung, James Newton, Peter Scholze, Richard Taylor, and Jack Thorne)
- Converse Theorems and the local Langlands correspondence in families
(With Gilbert Moss)
Invent. Math. 214 (2018), 999-1022.
- Curtis Homomorphisms and the integral Bernstein center for GL_n
Algebra and Number Theory 14 (2020), no. 10, 2607-2645.
Note that the paper Helm-Moss, above, references an earlier version of this paper with different section numbering; in particular sections 9,10, and 11 of the version referenced in Helm-Moss
correspond to sections 8,9, and 10 of the current version. The numbering of individual results within these sections remains the same.
- Whittaker models and the integral Bernstein center for GL_n(F)
Duke Math. Journal 165 (2016), no. 9, 1597-1628.
- The local Langlands correspondence for GL_n in families
(With Matthew Emerton)
Ann. Sci. Ec. Norm. Sup. 47 (2014), no. 4, 655-722.
- The Bernstein center of the category of smooth $W(k)[GL_n(F)]$-modules
Forum Math. Sigma 4 (2016), e11.
- On the modified mod $p$ local Langlands correspondence for GL_2(Q_l)
Math. Res. Lett. 20 (2013), no. 3, 489-500.
- Finite descent obstruction on curves and modularity
(With Jose Felipe Voloch)
Bull. London Math. Soc. 2011; doi: 10.1112/blms/bdr015.
- On $l$-adic families of cuspidal representations of $\GL_2(Q_p)$
Math. Res. Let. 17 (2010), no. 5, 805-822.
- Towards a geometric Jacquet-Langlands correspondence for unitary Shimura
varieties
Duke Math. J. 155 (2010), no. 3, 483-518.
- Monodromy filtrations and the topology of tropical
varieties (With Eric Katz)
Canadian J. Math 64 (2012) 845-868.
- A geometric Jacquet-Langlands correspondence for U(2) Shimura
varieties
Israel J. Math. 187 (2012), 37-80.
- On maps between modular Jacobians and Jacobians of Shimura curves,
Israel J. Math. 160 (2007), 61-117.
- Mazur's principle for U(2,1) Shimura
varieties
- Algorithms for graded injective resolutions and local cohomology over
semigroup rings (with Ezra Miller), Journal of Symbolic Computation,
39, no. 3-4 (2005), 373-395.
- Bass numbers of Semigroup-Graded Local Cohomology
(With Ezra Miller), Pacific Journal of Math. 209, no. 1
(2003), 41-66.
- Jacobians of Shimura curves and Jacquet-Langlands Correspondences
(Thesis)