Laplagne, Santiago
ProfessorResearcherOutreach coordinatorAcademic Council
- Email Addressslaplagne@ic.fcen.uba.ar
- JobProfesor Adjunto, Instituto de Cálculo
- Office2615
- Webhttp://cms.dm.uba.ar/Members/slaplagn
Areas
Knowledge TransferMathematical-computational tools
Research AreasMathematics for natural science
Subjects, courses and seminars
2026
- CoursesFirst termLaboratorio de datos (LCD) Comisión 1 - 1er cuatrimestre
- CoursesSummerLaboratorio de Datos - Curso de verano
2025
- CoursesSecond termOptimización Semi Definida (LCD) 2do cuatrimestre 2025
- CoursesSecond termTemas de Optimización Semidefinida (Doc) 2do cuatrimestre 2025
- CoursesFirst termLaboratorio de datos (LCD) Comisión 1 - 1er cuatrimestre 2025
2024
- CoursesFirst termData Lab 1
- CoursesFirst termLaboratorio de Datos (LCD comisión 2)
2021
- CoursesSecond termCopy of Semi-Defined Optimization Topics
- CoursesSecond termSemi-Defined Optimization Topics
Teaching
2024
- Primer cuatrimestre: Laboratorio de Datos
2023
- Verano: Álgebra Lineal Computacional
2022
- Segundo cuatrimestre: Álgebra Lineal Computacional
- Primer cuatrimestre: Álgebra Lineal Computacional
2021
- Segundo cuatrimestre: Optimización Semidefinida
- Primer cuatrimestre: Álgebra Lineal Computacional
Publications
- Sum of squares decomposition of positive polynomials with rational coefficients (2024)
S. Laplagne
Journal of Pure and Applied Algebra
https://doi.org/10.1016/j.jpaa.2024.107631 - Computing integral bases via localization and Hensel lifting (2022)
J. Boehm, W. Decker, S. Laplagne, G. Pfister
Journal of Symbolic Computations - Special issue MEGA 2019
https://arxiv.org/abs/1505.05054 - Facial reduction for exact polynomial sum of squares decompositions (2020)
S. Laplagne
Mathematics of Computation 2020
https://arxiv.org/abs/1810.04215 - Normalization of Rings (2010)
G.-M. Greuel, S. Laplagne, F. Seelisch
Journal of Symbolic Computations 2010
http://arxiv.org/abs/0904.3561
CV
Adjunct Professor at the Institute of Calculus.
I completed my PhD in mathematical sciences at the University of Buenos Aires under the supervision of Teresa Krick, focusing on algorithms in commutative algebra. Afterwards, I conducted postdoctoral research in biomathematics at City University of Hong Kong under the supervision of Steve Smale, studying the 3D structure of proteins. My current areas of interest are computational algebra, real algebraic geometry, and semidefinite programming. Specifically, I am focused on algorithms for ring normalization and computational tools for decomposing positive polynomials as sums of squares.