Galois representation

Buzzard, Kevin, and Toby Gee. “The Conjectural Connections between Automorphic Representations and Galois Representations.” arXiv:1009.0785 [math], September 3, 2010. http://arxiv.org/abs/1009.0785.
Zywina, David. “On the Surjectivity of Mod Ell Representations Associated to Elliptic Curves.” arXiv:1508.07661 [math], August 30, 2015. http://arxiv.org/abs/1508.07661.
Zywina, David. “On the Possible Images of the Mod Ell Representations Associated to Elliptic Curves over Q.” arXiv:1508.07660 [math], August 30, 2015. http://arxiv.org/abs/1508.07660.
Calegari, Frank. “Non-Minimal Modularity Lifting in Weight One.” arXiv:1502.00029 [math], January 30, 2015. http://arxiv.org/abs/1502.00029.
Dokchitser, Vladimir, and Samuele Anni. “L-Adic Representations and Their Associated Invariants.” arXiv:1410.1039 [math], October 4, 2014. http://arxiv.org/abs/1410.1039.

articles

Vytautas Paskunas, On 2-dimensional 2-adic Galois representations of local and global fields, arXiv:1509.00332 [math.NT], September 01 2015, http://arxiv.org/abs/1509.00332
Nicolas Mascot, Certification of modular Galois representations, arXiv:1312.6418[math.NT], December 22 2013, http://arxiv.org/abs/1312.6418v6
Lassina Dembele, Fred Diamond, David P. Roberts, Serre weights and wild ramification in two-dimensional Galois representations, http://arxiv.org/abs/1603.07708v1
Shenghao Sun, Weizhe Zheng, Parity and symmetry in intersection and ordinary cohomology, http://arxiv.org/abs/1402.1292v6

Sandra Rozensztajn, An algorithm for computing the reduction of \(2\)-dimensional crystalline representations of \(Gal(\overline\mathbb{Q}_p/\mathbb{Q}_p)\), http://arxiv.org/abs/1603.00763v1