Title | Co-authors | Journal | Year | Also available / Remarks | |
---|---|---|---|---|---|

25 | Homogeneity of arithmetic quantum limits for hyperbolic $4$-manifolds | Zvi Shem-Tov | submitted | 2024 | arXiv:math.NT/2402.18218 |

24 | A General Framework for Equivariant Neural Networks on Reductive Lie Groups | Ilyes Batatia, Mario Geiger, Jose Munoz, Tess Smidt, Christoph Ortner | NeurIPS 2023 | 2023 | arXiv:stat.ML/2306.00091 |

23 | Arithmetic quantum unique ergodicity for products of hyperbolic $2$- and $3$-manifolds | Zvi Shem-Tov | submitted | 2022 | arXiv:math.DS/2206.05955 |

22 | The topology of Baumslag-Solitar representations | Maxime Bergeron | J. Topol. Anal. v. 30 no. 11, 87–99 | 2021 | arXiv:math.GT/1902.04046 |

21 | Singularities of Intertwining Operators and Decompositions of Principal Series Representations | Taeuk Nam, Avner Segal | J. Lie Theory v. 30 no. 4 | 2020 | arXiv:math.RT/1811.00803 |

20 | Entropy bounds and quantum unique ergodicity for Hecke eigenfunctions on division algebras | Akshay Venkatesh | CRM Special year proceedings | 2019 | arXiv:math.NT/1606.02267 |

19 | Volumes of Hyperbolic Three-Manifolds Associated with Modular Links | Alexandre Brandts-Longtin, Tali Pinsky | Symmetry v. 11 no. 10 art. 1206 | 2019 | arXiv:math.GT/1705.04760 |

18 | An upper bound for the volumes of complements of periodic geodesics | Maxime Bergeron, Tali Pinsky | IMRN 2019 no. 15, 4707–4729 | 2017 | arXiv:math.GT/1412.2446 |

17 | Homogeneous length functions on groups | D.H.J. Polymath | Algebra & Number Theory v. 12 no. 7, 1773–1786 | 2018 | arXiv:math.GR/1801.03908 ; further information was posted to the Polymath Wiki |

16 | Scarring of quasimodes on hyperbolic manifolds | Suresh Eswarathasan | Nonlinearity v. 31 no. 1 | 2017 | arXiv:math.AP/1609.04912 |

15 | Girth and Abelian Girth | Joel Friedman, Alice Izsak | submitted | arXiv:math.CO/1511.03678 | |

14 | A Note On Nilpotent Representations | Maxime Bergeron | J. Group Theory v. 19 no. 1, 125–135 | 2016 | arXiv:math.AT/1501.04357 |

13 | Gaussian measures on the of space of Riemannian metrics | Brian Clarke, Dmitry Jakobson, Niky Kamran, Jonathan Taylor, Yaiza Canzani | Ann. Math. QuĂ©. v.39 no.2, 129–145 | 2015 | arXiv:math.DG/1309.1348 |

12 | Quantum Unique Ergodicity on Locally Symmetric Spaces: the Degenerate Lift | Canad. Math. Bull. v.58 no.3, 632–650 | 2015 | arXiv:math.RT/1104.0074 ; General version of the lift in [4] | |

11 | A uniform spectral gap for congruence covers of a hyperbolic manifold | Dubi Kelmer | Amer. J. Math. v.135 no.4, 1067–1085 | 2013 | arXiv:math.NT/1010.1010 |

10 | A Haar component for quantum limits on locally symmetric spaces | Nalini Anantharaman | Israel J. Math. v.195 no.1, 393–447 | 2013 | arXiv:math.GR/1009.4927 |

9 | PoincarĂ© inequalities, embeddings and wild groups | Assaf Naor | Compos. Math. v.147 no.5, 1546–1572 | 2011 | arXiv:math.GR/1005.4084 |

8 | Finding minimal permutation representations of finite groups | Ben Elias and Ramin Takloo-Bighash | Exp. Math. v.19 no.1, 121–128 | 2010 | arXiv:math.GR/0705.4122 |

7 | Groups not acting on manifolds | David Fisher | IMRN 2008 no.16, Art. ID rnn60 | 2008 | arXiv:math.GR/0801.0875 |

6 | Arithmetic quantum chaos on locally symmetric spaces | (advisor: Prof. Peter Sarnak) | Ph.D. Thesis (Princeton University) |
2005 | pdf ; see here for "part of the tree" argument for positive entropy. |

4 | Quantum Unique Ergodicity for Locally Symmetric Spaces | Akshay Venkatesh | GAFA v.17 no.3, 960–998 | 2007 | pdf ; ps ; arXiv:math.RT/0407413 |

3 | Addendum to "Random Walk in Random Groups" | GAFA v.13 (2003) no.1, 147–177 | 2003 | (with minor corrections) pdf ; ps | |

2 | Cosmological Density and Power Spectrum from Peculiar Velocities: Nonlinear Corrections and Principal Component Analysis | Avishai Dekel, Amiram Eldar and Idit Zehavi | ApJ 557 no. 1, 102–116 | 2001 | arXiv:astro-ph/0101361 |

1 | Cosmological Density and Power Spectrum from Peculiar Velocities: Principal Component Analysis and Nonlinear Effects | (advisor: Prof. Avishai Dekel) | B.Sc. Thesis (Hebrew University) |
2000 | ps |

- Arithmetic Quantum Chaos – An Introduction, given at Brandeis (11/2004), Princeton (2/2005), Columbia (12/2005).
- Gromov's Random Groups have Property (T), given at Microsoft Research (3/2004).

- (2002) "Expanding Graphs and Groups with Property (T)". This provides
(some) motivation for Gromov's construction.

The notes: PDF [also in PS].

- (2001) "Effective Versions of the Chebotarev Density Theorem"
by Jeff Lagarias and Andrew Odlyzko, published in the Durham Conference
Proceedings 1975.

All the statements in the paper are of the form "there exists a numerical constant c such that...". I wrote a version with the actual constant (no claim to optimality!).

The notes: PS.

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