Emilio Lauret

I am a mathematician working in Córdoba, Argentina. I was an Oberwolfach Leibniz Fellow at the Oberwolfach Mathematical Institute in 2013-2014 and an Alexander von Humboldt Postdoctoral Fellow at Humboldt-Universität zu Berlin in 2017-2018.

I am interested in the interaction between the spectrum of the Laplace operator and the geometry of a compact Riemannian manifold. I usually work with homogeneous spaces or locally homogeneous spaces, so the tools come from Lie theory.

emiliolauret at gmail.com.

Curriculum vitae.

Positions:

Research interests:

  • Spectral geometry: isospectrality, spectral rigidity, spectra of homogeneous manifolds.
  • Lie theory: weight multiplicity formulas, branching rules.
  • Number theory: lattice point theorems, quadratic forms.

Preprints:

  1. Strong multiplicity one theorems for locally homogeneous spaces of compact type. Emilio Lauret and Roberto Miatello. April 2018, arxiv:1804.08288.

Publications:

  1. The smallest Laplace eigenvalue of homogeneous 3-spheres. Emilio Lauret. Bull. Lond. Math. Soc., in press since October 2018. arXiv:1801.04259, doi: 10.1112/blms.12213 .
  2. A computational study on lens spaces isospectral on forms. Emilio Lauret. Exp. Math., in press since October 2018. arXiv:1703.03077, doi: 10.1080/10586458.2018.1538908. Appendix with computational results.
  3. On the SO(n+3) to SO(n) branching multiplicity space. Emilio Lauret and Fiorela Rossi Bertone. Comptes Rendus Acad. Sci. Paris, Ser. I Math. , in press since September 2018. arxiv:1805.03109, doi: 10.1016/j.crma.2018.09.004.
  4. Weight multiplicity formulas for bivariate representations of classical Lie algebras. Emilio Lauret and Fiorela Rossi Bertone. J. Math. Phys. 59:8 (2018), 081705. arXiv:1708.07905, doi: 10.1063/1.5043305.
  5. Spectral uniqueness of bi-invariant metrics on symplectic groups. Emilio Lauret. Transform. Groups, in press since June 2018. arXiv:1706.09012, doi: 10.1007/s00031-018-9486-5 . See the published version for free.
  6. The spectrum on p-forms of a lens space. Emilio Lauret. Geom. Dedicata 197 (2018), 107-122. arXiv:1604.02471, doi:10.1007/s10711-018-0322-9. See the published version for free.
  7. Multiplicity formulas for fundamental strings of representations of classical Lie algebras. Emilio Lauret and Fiorela Rossi Bertone. J. Math. Phys. 58:11 (2017), 111703. arXiv:1706.07839, doi: 10.1063/1.4993851.
  8. An explicit formula for the Dirac multiplicities on lens spaces. Sebastian Boldt and Emilio Lauret. J. Geom. Anal. 27 (2017), 689-725. arXiv:1412.2599, doi:10.1007/s12220-016-9695-x. See the published version for free.
  9. Spectra of orbifolds with cyclic fundamental groups. Emilio Lauret. Ann. Global. Anal. Geom. 50 (2016), 1-28. arXiv:1510.05948, doi: 10.1007/s10455-016--9498-0. See the published version for free.
  10. Spectra of lens spaces from 1-norm spectra of congruence lattices. Emilio Lauret, Roberto Miatello and Juan Pablo Rossetti. Int. Math. Res. Not. IMRN 2016 (2016), 1054-1089. arXiv:1311.7167, doi: 10.1093/imrn/rnv159.
  11. Non-strongly isospectral spherical space forms. Emilio Lauret, Roberto Miatello and Juan Pablo Rossetti. In "Mathematical Congress of the Americas", Contemporary Mathematics 656 (2016), 95-118. arXiv:1505.02554, doi: 10.1090/conm/656/13104.
  12. Representation equivalence and p-spectrum of constant curvature space forms. Emilio Lauret, Roberto Miatello and Juan Pablo Rossetti. J. Geom. Anal. 25 (2015), 564-591. arXiv:1209.4916. doi: 10.1007/s12220-013-9439-0. See the published version for free.
  13. A generalized Hermite constant for imaginary quadratic fields. Wai Kiu Chan, Maria Ines Icaza and Emilio Lauret. Math. Comp. 84 (2015), 1883-1900. arXiv:1307.3714. doi: 10.1090/S0025-5718-2015-02903-2.
  14. A numerical study on exceptional eigenvalues of certain congruence subgroups of SO(n,1) and SU(n,1). Emilio Lauret. Ramanujan J. 35 (2014), 179-204. arXiv:1212.0674. doi: 10.1007/s11139-014-9590-7. See the published version for free.
  15. Representation equivalent Bieberbach groups and strongly isospectral flat manifolds. Emilio Lauret. Canad. Math. Bull. 57 (2014), 357-363. arXiv:1210.0894. doi: 10.4153/CMB-2013-013-2.
  16. An asymptotic formula for representations of integers by indefinite hermitian forms. Emilio Lauret. Proc. Amer. Math. Soc. 142 (2014) 1-14. arXiv:11096697. doi: 10.1090/S0002-9939-2013-11726-0.
  17. Strongly isospectral manifolds with nonisomorphic cohomology rings. Emilio Lauret, Roberto Miatello and Juan Pablo Rossetti. Rev. Mat. Iberoam. 29 (2013) 611-634. arXiv:1103.0249. doi: 10.4171/RMI/732.

Other monographs:

  • Read my reviews in Zentralblatt and MathSciNet.
  • Introducción a grupos aritméticos. Notas de curso junto a Roberto Miatello y Benjamin Linowitz, para la escuela AGRA III Aritmética, Grupos y Análisis, Córdoba, Argentina, 9 al 20 de Julio 2018. PDF.
  • Anillos de enteros de cuerpos cuadráticos. Notas de curso, elENA VI. Julio 2012. PDF.
  • Representaciones de formas cuadráticas y hermíticas. Algunos aspectos geométricos y topológicos. PhD Thesis. Advisor: Roberto Miatello. Marzo 2011. PDF.
  • (with Agustín García Iglesias) Exámenes de Doctorado 1996-2009 (download) and Exámenes de Doctorado 2009-2016 (download).
  • Series de Dirichlet. Revista de Educación Matemática (REM). Volumen 23 - N° 3 (2008). PDF.
  • Lattices en grupos de Lie. Trabajo final de la Licenciatura en Matemática. Director: Roberto Miatello. Marzo 2006. PDF.

Links: