| L54. | Non-left-orderability of lattices in higher-rank semisimple Lie groups (after Deroin and Hurtado) (arxiv:2407.09742) |
| L54. | Quasi-isometric bounded generation by \(\mathbb{Q}\)-rank-one subgroups, SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) 16 (2020) 012, 17 pages. (free PDF) (arxiv:1908.02365) |
| L53. | by Armand Borel, translated by Lam Pham, and edited by D.W.Morris: Introduction to Arithmetic Groups, American Mathematical Society, Providence, RI, 2019. ISBN 978-1-4704-5231-5 (print), 978-1-4704-5431-9 (ebook) (publisher's info page). |
| L52. | with Indira Chatterji and Riddhi Shah: Relative Property (T) for nilpotent subgroups, Documenta Mathematica 23 (2018) 353-382. (free PDF) (arxiv:1702.01801) |
| L51. |
Introduction to Arithmetic Groups. Deductive Press, 2015. ISBN 978-0-9865716-0-2 (paperback), 978-0-9865716-1-9 (hardcover) (publisher's info page) (free PDF) (MR2920992) (arxiv:math/0106063) |
| L50. |
A cohomological proof that real representations of
semisimple Lie algebras have \(\mathbb{Q}\)-forms, SIGMA
(Symmetry, Integrability and Geometry: Methods and Applications)
11 (2015) 034, 12 pages. (free
PDF) (MR3339733)
(arxiv:1410.2339) |
| L49. |
with Daniel
Studenmund: Nonarchimedean superrigidity of solvable
\(S\)-arithmetic groups, Journal
of Algebra 416 (2014) 184-199. (free PDF) (MR3232799)
(arxiv:1401.5142) |
| L48. |
with Kevin
Wortman: Horospherical limit points of \(S\)-arithmetic
groups, New
York Journal of Mathematics 20 (2014) 367-376. (free
PDF) (MR3193958)
(arxiv:1309.7113) |
| L47. |
with Grigori
Avramidi: Horospherical limit points of locally symmetric
spaces, New
York Journal of Mathematics 20 (2014) 353-366. (free
PDF) (MR3193957)
(arxiv:1309.3554) |
| L46. |
Dani's work on dynamical systems on homogeneous
spaces,
in Recent Trends in Ergodic Theory and
Dynamical Systems, Contemporary Mathematics, vol. 631, Amer. Math.
Soc., Providence, RI, 2015, pp. 131-144. - See more at:
http://www.ams.org/myoffprints?printbib=1#sthash.r6GPTdxd.dpuf
in Recent Trends in Ergodic Theory and
Dynamical Systems, Contemporary Mathematics, vol. 631, Amer. Math.
Soc., Providence, RI, 2015, pp. 131-144. - See more at:
http://www.ams.org/myoffprints?printbib=1#sthash.r6GPTdxd.dpuf
in S.Bhattacharya, T.Das, A.Ghosh, and R.Shah, eds.: Recent
Trends in Ergodic Theory and Dynamical Systems. Amer.
Math. Soc., Providence, RI, 2015, pp. 131-144. ISBN
978-1-4704-0931-9 (PDF of published
version) (arxiv:1307.6893) |
| L45. |
Some arithmetic groups that do not act on the circle, in M.Bestvina, M.Sageev, and K.Vogtmann, eds: Geometric Group Theory. Amer. Math. Soc., Providence, RI, 2014, pp. 207-248. ISBN 978-1-4704-1227-2 (arxiv:1210.3671) |
| L44. |
with Robert J. Zimmer: Volume-preserving actions of simple algebraic \(\mathbb{Q}\)-groups on low-dimensional manifolds, Journal of Topology and Analysis 4 (2012) 115-120. (PDF for subscribers) (MR2949237) (arxiv:1204.3139) |
| L43. |
The space of bi-invariant orders on a nilpotent group, New York Journal of Mathematics 18 (2012) 261-273. (free PDF) (MR2920992) (arxiv:1204.0454) |
| L42. |
with Peter Linnell: Amenable groups with a locally invariant order are locally indicable, Groups, Geometry, and Dynamics 8 (2014) 467-478. (free PDF) (MR3231224) (arxiv:1202.4716) |
| L41. |
Can lattices in \(\mathrm{SL}(n, \mathbb{R})\) act on the circle?, in B.Farb and D.Fisher, eds.: Geometry, Rigidity, and Group Actions. University of Chicago Press, Chicago, 2011, pp. 158-207. ISBN 9780226237886 (my scan) (MR2807831) (arxiv:0811.0051). |
| L40. |
with Robert J. Zimmer: Ergodic Theory, Groups, and Geometry. CBMS, vol. 109. American Mathematical Society, Providence, R.I., 2008. (publisher's info page) (PDF file from my home page) (MR2457556) (arxiv:0712.2299) |
| L39. |
What is a superrigid subgroup?, in Timothy Y. Chow and Daniel C. Isaksen, eds.: Communicating Mathematics (Duluth, Minnesota, July 2007). Contemporary Mathematics, vol. 479. American Mathematical Society, Providence, R.I., 2009, pp. 189-206. ISBN 978-0-8218-4345-1 (my scan) (MR2513447) (arxiv:0712.2299) |
| L38. |
with Vladimir Chernousov and Lucy Lifschitz: Almost-minimal nonuniform lattices of higher rank, Michigan Mathematical Journal 56, no. 2, (2008), 453-478 (free PDF) (my scan) (MR2492403) (arxiv:0705.4330) |
| L37. |
Amenable groups that act on the line, Algebraic & Geometric Topology 6 (2006) 2509-2518. (free PDF) (MR2286034) (arxiv:math/0606232) |
| L36. |
with Lucy Lifschitz: Bounded generation and lattices that cannot act on the line, Pure and Applied Mathematics Quarterly 4 (2008), no. 1, part 2, 99-126. (free PDF) (my scan) (MR2214462) (arxiv:math/0604612) |
| L35. |
Bounded generation of \(\mathrm{SL}(n,A)\) (after D. Carter, G. Keller and E. Paige), New York Journal of Mathematics 13 (2007) 383-421. (free PDF) (MR2357719) (arxiv:math/0503083) |
| L34. |
with Pralay Chatterjee: Divergent torus orbits in homogeneous spaces of \(\mathbb{Q}\)-rank two, Israel Journal of Mathematics 152 (2006) 229-243. (PDF for subscribers) (my scan) (MR2214462) (arxiv:math/0409121) |
| L33. |
Ratner's Theorems on Unipotent Flows. University of Chicago Press, Chicago, 2005. ISBN 9780226539843 (publisher's info page) (PDF file from my home page) (MR2158954) (arxiv: math/0310402) |
| L32. |
with Alex Eskin and Jens Marklof: Unipotent flows on the space of branched covers of Veech surfaces, Ergodic Theory and Dynamical Systems 26 (2006) 129-162. (PDF for subscribers) (my scan) (MR2201941) (arxiv:math/0408090) |
| L31. |
with Lucy Lifschitz: Isotropic non-archimedean \(S\)-arithmetic groups are not left orderable, Comptes Rendus Mathematique 339, no. 6, (2004) 417-420. (free PDF) (my scan) (MR2092755) (arxiv:math/0405536) |
| L30. |
with David Fisher and Kevin Whyte: Non-ergodic actions, cocycles and superrigidity, New York Journal of Mathematics 10 (2004) 249-269. (free PDF) (MR 2114789) (arxiv:math/0402133) |
| L29. |
with Robert J. Zimmer: Ergodic actions of semisimple Lie groups on compact principal bundles, Geometriae Dedicata 106 (2004) 11-27. (PDF for subscribers) (my scan) (MR2079831) (arxiv:math/0205323) |
| L28. |
Real representations of semisimple Lie algebras have \(\mathbb{Q}\)-forms, in S. G. Dani and G. Prasad, eds.: Algebraic Groups and Arithmetic (Mumbai, India, December 17-22, 2001) in honor of M. S. Raghunathan's 60th birthday. Tata Institute for Fundamental Research, Mumbai. Narosa Publishing House, New Delhi, 2004, pp. 469-490. (my scan) (MR2094121) (arxiv:math/0205289) |
| L27. |
with Alessandra
Iozzi: Tessellations of homogeneous spaces of classical
groups of real rank two, Geometriae
Dedicata 103 (2004) 115-191. (PDF
for subscribers) (my scan)
(MR2034956)
(arxiv:math/0102191) |
| L26. |
Superrigid subgroups and syndetic hulls in solvable Lie groups, in: M.Burger and A.Iozzi, eds., Rigidity in Dynamics and Geometry (Cambridge, United Kingdom, 5 January to 7 July 2000), Springer, Berlin, 2002, pp. 441-457. ISBN 3-540-43243-4 (PDF of final version) (MR1919416) (arxiv:math/0102034) |
| L25. |
with Renato Feres: Groups that do not act by automorphisms of codimension-one foliations, Pacific Journal of Mathematics 204 (2002) 31-42. (free PDF) (MR1905190) (arxiv:math/0008012) |
| L24. |
Homogeneous Lorentz manifolds with simple isometry group, Beiträge zur Algebra und Geometrie 42 (2001) 451-461. (free PDF) (MR1865533) (arxiv:math/0007143) |
| L23. |
with Lucy Lifschitz: On automorphisms of arithmetic subgroups of unipotent groups in positive characteristic, Communications in Algebra 30 (2002) 2715-2743. (PDF for subscribers) (my scan) (MR1908235) (arxiv:math/0007127) |
| L22. |
with Alessandra
Iozzi: Cartan-decomposition subgroups of
\(\mathrm{SU}(2,n)\), Journal
of Lie Theory 11, no. 2, (2001) 505-543. (free
PDF) (MR1851805)
(arxiv:math/0007039) |
| L21. |
with Robert J. Zimmer: Actions of semisimple Lie groups on circle bundles, Geometriae Dedicata 87 (2001) 91-121. (PDF for subscribers) (my scan) (MR1866844) (arxiv:math/0004057) |
| L20. |
with Hee Oh: New examples of compact Clifford-Klein forms of homogeneous spaces of \(\mathrm{SO}(2,n)\), International Mathematics Research Notices 2000 (8 March 2000), no. 5, 235-251. (PDF for subscribers) (my scan) (MR1890952) (arxiv:math/9902050) |
| L19. |
with Hee Oh: Compact Clifford-Klein forms of homogeneous spaces of \(\mathrm{SO}(2,n)\), Geometriae Dedicata 89 (2002) 25-57. (PDF for subscribers) (my scan) (MR1890952) (arxiv:math/9902050) |
| L18. |
with Hee Oh: Cartan-decomposition subgroups of \(\mathrm{SO}(2,n)\), Transactions of the American Mathematical Society 356 (2004) 1-38. (free PDF) (MR2020022) (arxiv:math/9902049) |
| L17. |
with Holly Bernstein: Foliation-preserving maps between solvmanifolds, Geometriae Dedicata 102 (2003) 91-107. (PDF for subscribers) (my scan) (MR2026839) (arxiv:math/9802133) |
| L16. |
with Akihiko Yukie and Roger Zierau: Prehomogeneous vector spaces and ergodic theory II, Transactions of the American Mathematical Society 352 (2000), no. 4, 1687-1708. (free PDF) (MR1475697) (arxiv:math/9607218). |
| L15. |
Cocycle superrigidity for ergodic actions of non-semisimple Lie groups, in S.G.Dani, ed.: Proceedings of the International Colloquium on Lie Groups and Ergodic Theory (Mumbai 1996). Narosa Publishing House, New Delhi, 1998, pp. 367-386. ISBN 81-7319-235-9 (distributed by American Mathematical Society). (my scan) (MR1699372) (arxiv:math/9607219). |
| L14. |
Superrigid subgroups of solvable Lie groups, Proceedings of the American Mathematical Society 125 (1997) 3433-3438. (free PDF) (MR1423339) (arxiv:math/9607221) |
| L13. |
Archimedean superrigidity of solvable \(S\)-arithmetic groups, J. Algebra 187 (1997) 268-288. (free PDF) (MR1425571) (arxiv:math/9611219) |
| L12. |
Products of similar matrices, Proceedings of the American Mathematical Society 126 (1998) 1005-1015. (free PDF) (MR1451837) |
| L11. |
Superrigidity of lattices in solvable Lie groups, Inventiones Mathematicae 122 (1995) 147-193. (read online scan) (MR1354957) |
| L10. |
Tessellations of solvmanifolds, Transactions of the American Mathematical Society 350 (1998), no. 9, 3767-3796. (free PDF) (MR1432206) |
| L9. |
with Cesar E. Silva: On quotients of nonsingular actions whose self-joinings are graphs, International Journal of Mathematics 5 (1994) 219-237. (free PDF) (MR1266283) |
| L8. |
Arithmetic groups of higher \(\mathbb{Q}\)-rank cannot act on 1-manifolds, Proceedings of the American Mathematical Society 122 (1994) 333-340. (free PDF) (MR1198459) |
| L7. |
Measurable quotients of unipotent translations,
Transactions
of the American Mathematical Society 345 (1994) 577-594.
(free
PDF) (MR1181187) [Correction and extension 349 (1997) 4685-4688. (free PDF) (MR1443896) (arxiv:math/9607220)] |
| L6. |
Cocompact subgroups of semisimple Lie groups, in G.Benkart and J.M.Osborn, eds.: Lie Algebras and Related Topics (Madison, WI, 1988). Contemporary Mathematics, vol. 110. American Mathematical Society, Providence, RI, 1990, pp. 309-313. ISBN 0-8218-5119-5. (my scan) (MR1079114) |
| L5. |
with David Weinberg: Topological equivalence of real binary forms, Proceedings of the American Mathematical Society 112 (1991) 1157-1162. (free PDF) (MR1086344) |
| L4. |
Topological equivalence of foliations of homogeneous spaces, Transactions of the American Mathematical Society 317 (1990) 143-166. (free PDF) (MR942428) |
| L3. |
Rigidity of horospherical foliations, Ergodic Theory and Dynamical Systems 9 (1989) 191-205. (free PDF) (my scan) (MR991498) |
| L2. |
Zero-entropy affine maps on homogeneous spaces,
American
Journal of Mathematics 109 (1987) 927-961. (free PDF to read online) (my
scan) (MR910358) [Correction 118 (1996) 1137-1140. (PDF for subscribers) (my scan) (arxiv:math/9607222) (MR1408500)] |
| L1. |
Rigidity of some translations on homogeneous
spaces, Inventiones
Mathematicae 81 (1985) 1-27. (read
online) (MR796188) [Announced in Bulletin of the American Mathematical Society 12 (1985) 117-119. (free PDF) (MR766966)] |
| L0. |
Measurable isomorphisms of unipotent translations on homogeneous spaces. Ph.D. thesis, University of Chicago, 1985, 50 pages. (PDF created from TeX file) (my scan) (MR2611846 no review) |