Andrei S. Rapinchuk
Affiliations: | University of Virginia, Charlottesville, VA |
Area:
MathematicsGoogle:
"Andrei Rapinchuk"Children
Sign in to add trainee| Igor V. Erovenko | grad student | 2002 | UVA |
| Chirashree Bhattacharya | grad student | 2004 | UVA |
| Brian M. Kapp | grad student | 2008 | UVA |
| Achilleas N. Pitsillides | grad student | 2009 | UVA |
| Timothy J. Woodcock | grad student | 2010 | UVA |
| Timothy P. Pollio | grad student | 2013 | UVA |
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Publications
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| Rapinchuk AS, Rapinchuk IA. (2020) Linear algebraic groups with good reduction Research in the Mathematical Sciences. 7: 1-66 |
| Chernousov VI, Rapinchuk AS, Rapinchuk IA. (2020) The finiteness of the genus of a finite-dimensional division algebra, and some generalizations Israel Journal of Mathematics. 236: 747-799 |
| Chernousov VI, Rapinchuk AS, Rapinchuk IA. (2019) Spinor Groups with Good Reduction Compositio Mathematica. 155: 484-527 |
| Morgan AV, Rapinchuk AS, Sury B. (2018) Bounded generation of $\mathrm{SL}_2$ over rings of $S$-integers with infinitely many units Algebra & Number Theory. 12: 1949-1974 |
| Prasad G, Rapinchuk AS. (2017) Generic elements of a Zariski-dense subgroup form an open subset Transactions of the Moscow Mathematical Society. 78: 299-314 |
| Prasad G, Rapinchuk AS. (2016) On the congruence kernel for simple algebraic groups Proceedings of the Steklov Institute of Mathematics. 292: 216-246 |
| Chernousov VI, Rapinchuk AS, Rapinchuk IA. (2016) On the size of the genus of a division algebra Proceedings of the Steklov Institute of Mathematics. 292: 63-93 |
| Chernousov VI, Rapinchuk AS, Rapinchuk IA. (2016) On some finiteness properties of algebraic groups over finitely generated fields Comptes Rendus Mathematique. 354: 869-873 |
| Chernousov VI, Rapinchuk AS, Rapinchuk IA. (2015) Division algebras with the same maximal subfields Russian Mathematical Surveys. 70: 83-112 |
| Prasad G, Rapinchuk AS. (2014) On the fields generated by the lengths of closed geodesics in locally symmetric spaces Geometriae Dedicata. 172: 79-120 |