Alvaro Liendo - Profesor Titular

Employment and education

Jul 2022 - present

Profesor Titular

Universidad de Talca, Talca, Chile
May 2015 - Jul. 2022

Profesor Asociado

Universidad de Talca, Talca, Chile
Mar. 2013 - Apr. 2015

Profesor Asistente

Universidad de Talca, Talca, Chile
May 2012 - Febr. 2013

Assistent Post-Doktorand

Universität Bern, Bern, Switzerland
Sept. 2010 - Apr. 2012

Assistent Post-Doktorand

Universität Basel, Basel, Switzerland
May 2010

PhD in Mathematics at the Institut Fourier

Université de Grenoble, France
June 2006

MSc in Mathematics

Université de Grenoble, Grenoble, France
August 2005

MSc in Mathematics

Universidad Santa María, Chile
August 2004

BSc in Mathematics

Universidad Santa María, Chile
May 2004

Engineer degree in Electronics Engineering

Universidad Santa María, Chile

Publications

All my papers and preprints are on the arXiv and in my mathscinet profile

[24] Automorphisms of products of toric varieties, with G. Lucchini Arteche. Preprint. arXiv:2101.03600 [math.AG].
[23] Topologically integrable derivations and additive group actions on affine ind-schemes, with R. Díaz and A. Dubouloz. Preprint. arXiv:2012.14302 [math.AG].
[22] On the liftability of the automorphism group of smooth hypersurfaces of the projective space, with V. González-Aguilera and P. Montero. Preprint. arXiv:2004.12455 [math.AG].
[21] On the characterization of Danielewski surfaces by their automorphism group, with A. Regeta and C. Urech. Preprint. arXiv:1905.00423 [math.AG].
[20] On toric ind-variety and pro-affine semigroups, with R. Díaz. Preprint. arXiv:1904.11090 [math.AG].
[19] Lie algebras of vertical derivations on semiaffine varieties with torus actions, with I.V. Arzhantsev and T. Stasyuk. Preprint. arXiv:1902.01523 [math.AG].
[18] Normal real affine varieties with circle actions, with A. Dubouloz. Preprint. arXiv:1810.11712 [math.AG].
[17] Cohen-Macaulay Du Bois singularities with a torus action of complexity one, with A. Laface and J. Moraga. Preprint. arXiv:1806.08311 [math.AG].
[16] Characterization of affine toric varieties by their automorphism groups, with A. Regeta and C. Urech. Preprint. arXiv:1805.03991 [math.AG].
[15] On the topology of rational T-varieties of complexity one, with A. Laface and J. Moraga. Accepted in Moscow Mathematical Journal. arXiv:1503.06023 [math.AG].
[14] Fundamental group of log terminal T-varieties, with A. Laface and J. Moraga. Accepted in European Journal of Mathematics. arXiv:1712.02172 [math.AG].
[13] Uniformly rational varieties with torus action, with C. Petitjean. Transformation Groups Vol. 24, No. 1, 2019, pp. 149-153.
[12] Smooth varieties with torus actions, with C. Petitjean. Journal of Algebra Volume 490, 15 November 2017, Pages 204-218.
[11] On rational additive group actions, with A. Dubouloz. International Journal of Mathematics 27 (2016), no. 8, 1650060, 19 pages.
[10] Additive group actions on affine $\mathbb{T}$-varieties of complexity one in arbitrary characteristic, with K. Langlois. Journal of Algebra 449 (2016) 730-773.
[9] The algebraic density property for affine toric varieties, with F. Kutzschebauch, M. Leuenberger. Journal of Pure and Applied Algebra 219 (2015) 3685-3700.
[8] The automorphism group of a variety with torus action of complexity one, with I.V. Arzhantsev, J. Hausen and E. Herppich. Moscow Mathematical Journal, Volume 14, Number 3, July-September 2014, 429-471.
[7] On the order of an automorphism of a smooth hypersurface, with V. González-Aguilera. Israel Journal of Mathematics 197 (2013), 29-49.
[6] Normal singularities with torus actions, with H. Süß. Tohoku Mathematical Journal, vol. 65 (2013), no. 1, pp. 105-130.
[5] Polyhedral divisors and $\operatorname{SL}_2$-actions on affine $\mathbb{T}$-varieties, with I.V. Arzhantsev. Michigan Mathematical Journal, Volume 61 (2012), 731-762.
[4] Roots of the affine Cremona group. Transformation Groups, Vol. 16, No. 4, 2011, pp. 1137-1142.
[3] Automorphisms of prime order of smooth cubic $n$-folds, with V. González-Aguilera. Archiv der Mathematik 97 (2011), 25-37.
[2] $\mathbb{G}_a$-actions of fiber type on affine $\mathbb{T}$-varieties. Journal of Algebra 324 (2010) 3653-3665.
[1] Affine $\mathbb{T}$-varieties of complexity one and locally nilpotent derivations. Transformation Groups, Vol. 15, No. 2, 2010, pp. 389-425.

Teaching

2022

Complementos de Topología, Magister en Matemática
Álgebra, Ingeniería en Videojuegos
Matemáticas I, Administración Pública

2021

Complementos de Topología, Magister en Matemática
Matemáticas I, Ingeniería Informática Empresarial
Álgebra, Ingeniería en Videojuegos
Grupos de simetría de objetos geométricos, Escuela de Invierno INSTMAT.

2020

Algebra, Agronomía
Matemáticas I, Ingeniería Informática Empresarial
Matemáticas, Medicina

2019

Algebra, Agronomía
Matemáticas I, Ingeniería Informática Empresarial
Matemáticas, Medicina

2018

Algebra, Agronomía
Matemáticas I, Ingeniería Informática Empresarial
Matemáticas, Kinesiología

2017

Algebra, Agronomía
Complementos de Álgebra, Magister en Matemática
Toric varieties, Magister en Matemática

2016

Matemáticas I, Ingeniería Informática Empresarial
Matemáticas, Medicina
Matemáticas II, Ingeniería Informática
Ecuaciones diferenciales, Bioinformática

2015

Topología I, II y III, Magister en Matemática

2014

Topología I, II y III, Magister en Matemática

2013

Algebra III, Magister en Matemática
Matemáticas II, Ingeniería Informática Empresarial
Cálculo I, ingeniería Comercial

Students

Former and current students and postdocs

Postdoc

Charlie Petitjean: From November 2015 until January 2017. Currently at I.U.T. Dijon-Département GMP, Dijon, France.

PhD

Roberto Díaz: PhD student.
Luis Cid: PhD student.

MSc

Joaquín Moraga: MSc thesis defended on june 22, 2015 (codirected with Antonio Laface). PhD from University of Utah. Currently postdoc at Institute for Advances Studies.
Roberto Díaz: MSc thesis defended on May 13, 2016. Currently PhD student under my supervision in Universidad de Talca.
Gonzalo Manzano: MSc thesis defended on September 14, 2016. Currently PhD student in Universidad de Santiago de Chile.
Luis Cid: MSc thesis defended on July 10, 2017. Currently PhD student under my supervision in Universidad de Talca.
Leonardo Montoya

Employment and education

Jul 2022 - present

Profesor Titular

May 2015 - Jul. 2022

Profesor Asociado

Mar. 2013 - Apr. 2015

Profesor Asistente

May 2012 - Febr. 2013

Assistent Post-Doktorand

Sept. 2010 - Apr. 2012

Assistent Post-Doktorand

May 2010

PhD in Mathematics at the Institut Fourier

June 2006

MSc in Mathematics

August 2005