David Roe roed@mit.edu

Articles  BibTeX

TitleWithStatus
PDF HTML A Presentation of the Absolute Galois Group of ℚ₂ David Corneliu Turturean Preprint
PDF arXiv BibTeX Distinguished defining polynomials for extensions of p-adic fields Jordi Guàrdia, John Jones, Kevin Keating, Sebastian Pauli, David Roberts Accepted to ANTS XVII
PDF arXiv BibTeX Ordinary abelian varieties: isogeny graphs and polarizations Edgar Costa, Taylor Dupuy, Stefano Marseglia, Christelle Vincent Accepted to ANTS XVII
PDF arXiv DOI BibTeX Families of p-adic fields Jordi Guàrdia, John Jones, Kevin Keating, Sebastian Pauli, David Roberts Contemporary Mathematics 840 (2026), pp 1-28
PDF arXiv DOI BibTeX Labeling abelian varieties over finite fields Edgar Costa, Taylor Dupuy, Stefano Marseglia, Christelle Vincent Contemporary Mathematics 840 (2026), pp 277-283
PDF arXiv DOI BibTeX Creating a Dynamic Database of Finite Groups Lewis Combes, John Jones, Jennifer Paulhus, Manami Roy, Sam Schiavone Contemporary Mathematics 840 (2026), pp 119-139
PDF arXiv DOI BibTeX Hypergeometric L-functions in average polynomial time II Edgar Costa, Kiran Kedlaya Research in Number Theory 11 (2025), article 32
PDF arXiv DOI BibTeX Counterexamples to a Conjecture of Ahmadi and Shparlinski Taylor Dupuy, Kiran Kedlaya, Christelle Vincent Experimental Mathematics 32 (2023) no. 3, pp 540-544
PDF arXiv DOI BibTeX Commutative character sheaves and geometric types for supercuspidal representations Clifton Cunningham Annales Henri Lebesgue 4 (2021), pp 1389-1420
arXiv DOI BibTeX Computing classical modular forms Alex Best, Jonathan Bober, Andrew Booker, Edgar Costa, John Cremona, Maarten Derickx, Min Lee, David Lowry-Duda, Andrew Sutherland, John Voight Arithmetic Geometry, Number Theory, and Computation, Simons Symp, Springer, 2021, pp 131-213
PDF arXiv DOI BibTeX Isogeny Classes of Abelian Varieties over Finite Fields in the LMFDB Taylor Dupuy, Kiran Kedlaya, Christelle Vincent Arithmetic Geometry, Number Theory, and Computation, Simons Symp, Springer, 2021, pp 375-448
PDF DOI BibTeX Zen and the art of database maintenance Edgar Costa Arithmetic Geometry, Number Theory, and Computation, Simons Symp, Springer, 2021, pp 277-292
PDF arXiv DOI BibTeX Hypergeometric L-functions in average polynomial time Edgar Costa, Kiran Kedlaya Proceedings of the Fourteenth Algorithmic Number Theory Symposium (ANTS-XIV), Open Book Series 4, Math. Sci. Pub., Berkeley, 2020, pp 143-159
PDF arXiv DOI BibTeX The Inverse Galois Problem for p-adic fields Proceedings of the Thirteenth Algorithmic Number Theory Symposium (ANTS-XIII), Open Book Series 2, Math. Sci. Pub., Berkeley, 2019, pp 393-409
PDF arXiv DOI BibTeX From the function-sheaf dictionary to quasicharacters of p-adic tori Clifton Cunningham Journal of the Institute of Mathematics of Jussieu 17 (2018) no. 1, pp 1-37
PDF arXiv DOI BibTeX ZpL: a p-adic precision package Xavier Caruso, Tristan Vaccon Proceedings of the 2018 ACM on International Symposium on Symbolic and Algebraic Computation. ACM, New York, 2018, pp 119-126
PDF arXiv DOI BibTeX Characteristic polynomials of p-adic matrices Xavier Caruso, Tristan Vaccon Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation. ACM, New York, 2017, pp 389-396
PDF arXiv DOI BibTeX Division and slope factorization of p-adic polynomials Xavier Caruso, Tristan Vaccon Proceedings of the 2016 ACM on International Symposium on Symbolic and Algebraic Computation. ACM, New York, 2016, pp 159-166.
PDF arXiv DOI BibTeX Rectifiers and the local Langlands correspondence: the unramified case Moshe Adrian Mathematical Research Letters 23 (2016) no. 3, pp 593-619
PDF arXiv DOI BibTeX p-adic Stability in Linear Algebra Xavier Caruso, Tristan Vaccon Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation. ACM, New York, 2015, pp 101-108.
PDF arXiv DOI BibTeX The canonical measure on a reductive p-adic group is motivic Julia Gordon Annales scientifiques de l'École normale supérieure 50 (2015) no. 2, pp 345-355
PDF arXiv DOI BibTeX The 3-adic eigencurve at the boundary of weight space International Journal of Number Theory 10 (2014), no. 7, 1791-1806.
PDF arXiv DOI BibTeX Tracking p-adic precision Xavier Caruso, Tristan Vaccon LMS Journal of Computation and Mathematics 17 (Special issue A) (2014), 274-294.
PDF arXiv DOI BibTeX Bounding Picard numbers of surfaces using p-adic cohomology Timothy Abbott, Kiran Kedlaya Arithmetic, Geometry and Coding Theory (AGCT 2005), Séminaires et Congrès 21, Societé Mathématique de France, 2009, 125-159. Magma source is available.
PDF arXiv BibTeX Constructing local L-packets for tame unitary groups

Theses

TitleWithStatus
PDF The Local Langlands Correspondence for Tamely Ramified Groups Ph.D. Thesis under Benedict Gross. Defended April 19, 2011
PDF Formal Groups, Complex Cobordism and Quillen's Theorem Minor thesis, a Ph.D. requirement at Harvard