Luis Arenas


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Ph.D. in Mathematics, The Ohio State University, Chile
Profesor Asociado
learenass@yahoo.com



Área de Investigación

Geometría Algebraica



Publicaciones

  1. Arenas-Carmona, Luis: Representation fields for orders of small rank. Proyecciones 36 (2017), no. 1, 131–148. ISSN: 0716-0719 Impact Factor  0.27.
  2. Arenas-Carmona, Luis: Spinor class fields for generalized Eichler orders. J. Théor. Nombres Bordeaux 28 (2016), no. 3, 679–698. ISSN: 1246-7405  Impact Factor   0.333 Doi:10.5802/jtnb.958
  3. Arenas-Carmona, Luis; Saavedra, Ignacio: On some branches of the Bruhat-Tits tree. Int. J. Number Theory 12 (2016), no. 3, 813–831. ISSN: 1793-0421. Impact Factor: 0.479 Doi:10.1142/S1793042116500524.
  4. Arenas-Carmona, Luis: Roots of unity in definite quaternion orders. Acta Arith. 170 (2015), no. 4, 381–393. ISSN: 0065-1036 Impact Factor 0.522 Doi:10.4064/aa170-4-5.
  5. Arenas-Carmona, Luis; Quiroz, Patricio: Spinor norm for skew-hermitian forms over quaternion algebras. J. Number Theory151(2015), 159–171. ISSN: 0022-314X. Impact Factor:  0.68. Doi:10.1016/j.jnt.2014.12.011.


Proyectos

  1. 2016-2018: Fondecyt 1160603. “Embeddings and automorphism groups of orders via Bruhat-Tits trees and generalizations”,   Investigador Responsable.  
  2. 2014-2016:  FONDECYT 1140533 “Embeddings of orders vía Bruhat-Tits trees and generalizations”, Investigador Responsable.
  3. 2012-2014:  FONDECYT 1120565. “Representation fields for orders and vector bundles”.   Investigador Responsible.
  4. 2010-2012: FONDECYT “Representation fields for orders with standard generators over global functions fields and cohomology”, Investigador responsable.
  5. 2008-2010: FONDECYT    “Spinor Class Fields and Generalizations”, Investigador responsable. 
  6. 2006-2010: FONDECYT    “Constructions of Group Representations”, Coinvestigador.