| Applications of patching to quadratic forms and central simple algebras D Harbater, J Hartmann, D Krashen Inventiones mathematicae 178 (2), 231-263, 2009 | 139 | 2009 |
| Local-global principles for torsors over arithmetic curves D Harbater, J Hartmann, D Krashen American Journal of Mathematics 137 (6), 1559-1612, 2015 | 54 | 2015 |
| Local-global principles for Galois cohomology. D Harbater, J Hartmann, D Krashen Commentarii Mathematici Helvetici 89 (1), 2014 | 39 | 2014 |
| Multiparty non-interactive key exchange and more from isogenies on elliptic curves D Boneh, D Glass, D Krashen, K Lauter, S Sharif, A Silverberg, ... Journal of Mathematical Cryptology 14 (1), 5-14, 2020 | 35 | 2020 |
| Pointed trees of projective spaces L Chen, A Gibney, D Krashen arXiv preprint math/0505296, 2005 | 32 | 2005 |
| Relative Brauer groups of genus 1 curves M Ciperiani, D Krashen Israel Journal of Mathematics 192, 921-949, 2012 | 31 | 2012 |
| Derived categories of torsors for abelian schemes B Antieau, D Krashen, M Ward Advances in Mathematics 306, 1-23, 2017 | 27 | 2017 |
| Refinements to patching and applications to field invariants D Harbater, J Hartmann, D Krashen International Mathematics Research Notices 2015 (20), 10399-10450, 2015 | 27 | 2015 |
| Patching subfields of division algebras D Harbater, J Hartmann, D Krashen Transactions of the American Mathematical Society 363 (6), 3335-3349, 2011 | 25 | 2011 |
| Weierstrass preparation and algebraic invariants D Harbater, J Hartmann, D Krashen Mathematische Annalen 356, 1405-1424, 2013 | 19 | 2013 |
| Local-global principles for torsors over arithmetic curves D Harbater, J Hartmann, D Krashen arXiv preprint arXiv:1108.3323, 2011 | 19 | 2011 |
| Zero cycles on homogeneous varieties D Krashen Advances in Mathematics 223 (6), 2022-2048, 2010 | 19* | 2010 |
| Distinguishing division algebras by finite splitting fields D Krashen, K McKinnie manuscripta mathematica 134, 171-182, 2011 | 18 | 2011 |
| Index reduction for Brauer classes via stable sheaves D Krashen, M Lieblich International Mathematics Research Notices 2008 (9), rnn010-rnn010, 2008 | 14 | 2008 |
| Period and index, symbol lengths, and generic splittings in Galois cohomology D Krashen Bulletin of the London Mathematical Society, bdw060, 2016 | 13 | 2016 |
| Local-global Galois theory of arithmetic function fields D Harbater, J Hartmann, D Krashen, R Parimala, V Suresh Israel Journal of Mathematics 232, 849-882, 2019 | 11 | 2019 |
| Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields JL Colliot-Thélène, D Harbater, J Hartmann, D Krashen, R Parimala, ... Transactions of the American Mathematical Society 372 (8), 5263-5286, 2019 | 10 | 2019 |
| Local-global principles for constant reductive groups over semi-global fields JL Colliot-Thélène, D Harbater, J Hartmann, D Krashen, R Parimala, ... Michigan Mathematical Journal 72, 77-144, 2022 | 9 | 2022 |
| Local-global principles for tori over arithmetic curves JL Colliot-Thélene, D Harbater, J Hartmann, D Krashen, R Parimala, ... arXiv preprint arXiv:1906.10672, 2019 | 9 | 2019 |
| Field Patching, Factorization, and Local–Global Principles D Krashen Quadratic forms, linear algebraic groups, and cohomology, 57-82, 2010 | 9 | 2010 |
David HarbaterProfessor of Mathematics, University of PennsylvaniaVerified email at math.upenn.edu
