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  • 2021: Algebra I (Master course).

  • 2020: Isogeny-based Cryptography (Ph. D Seminar), Algebra II (Master course)

  • 2019: Isogeny-based Cryptography (Ph. D Seminar)

  • 2018: Analytic Number Theory (Ph. D course).

  • 2016: Algebraic number Theory (Ph. D. course)

  • 2015: Linear Forms in Logarithms (Seminar for Master in Mathematics)

  • 2013: Class Field Theory, Artin L-functions (Seminar for Master in Mathematics)

Undergraduate

  • 2023: Master and Ph.D. Seminar: Algorithmic Aspect of Hyperelliptic genus-two curves over finite fields.

  • 2022: Sistemas Numéricos, Teoría de Números.    

  • 2021:Elliptic Curves for Cryptography (Seminar for undergraduate students)

  • 2018: Introduction to Cryptography, Introduction to Elliptic Curves, Numerical Systems.

  • 2017: Field Theory, Numerical Systems

  • 2016: Field Theory, Group Theory.

  • 2015: Field Theory, Linear Forms in Logarithms.

  • 2014: Field Theory, Elementary number theory (Seminar for undergraduate students), Arithmetic.

  • 2012: Algebra I and Algebraic Number Theory (Seminar for undergraduate students), Universidad de Valparaíso.

  • 2011: Analysis, Rings and Modules, Analytic Number Theory (seminar for undergraduate students)

  • 2009-2010: Abstract Algebra, Complex Analysis, Elementary Number Theory, Topics in Algebra (seminar for undergraduate students), Universidad de Tarapacá.

Graduate

Current Students

  • ​Jorge Gómez (Master in Mathematics, Universidad de Valparaíso), 2022-

  • Cristopher Salinas (Master in Mathematics, Universidad de Valparaíso), 2022-

 

Past Students

  • Odalis Ortega (Ph.D. in Mathematics Universidad de Valparaíso),2023

  • Cristopher Salinas (Undergraduate, Universidad de Valparaíso), 2022.

  • Gabriela Tello (Undergraduate, Universidad de Valparaíso), 2022.

  • Jorge Hernandez (Master in Mathematics, Universidad de Valparaíso), 2016.

  •  Pablo Madariaga (Master in Mathematics, Universidad de Valparaíso), 2015.

  • Gastón Vergara (Undergraduate, Universidad de Valparaíso), 2015.

  • Stephanie McLean (Undergraduate, Universidad de Valparaíso), 2014.

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