Teaching
My teaching experience extends through several institutions that offer university-level courses.
SpSe: Spring Semester. SuSe: Summer Semester. WiSe: Winter Semester.
The University of Texas at San Antonio
- 3rd year Bachelor Research Project
“Topological Data Analysis in Computational Real Algebraic Geometry”, supervisor (together with Elias Tsigaridas) of Aurèle Bohbot, WiSe2021-22.
Technische Universität Berlin
- Effective Algebraic Geometry Seminar, organizer (together with Peter Bürgisser and Alperen A. Ergür), SuSe 2018. (syllabus)
University of the Basque Country
- Groups of units in complete discrete valuations rings (Minicourse), lecturer, February 2014.
- “$\mathsf{P}$ vs. \(\mathsf{NP}\) and related topics” Seminar, organizer (together with Luis Martínez) and main lecturer, WiSe 2012-13 and SuSe 2013.
- 1st year Mathematics for students of the B.Sc. Chemical Engineering at the University of the Basque Country, private remedial teacher, SuSe 2014.
- 1st year Linear Algebra for students of the B.Sc. Mathematics at the University of the Basque Country, private remedial teacher, WiSe 2013-14.
- 2nd year Linear Algebra for students of the B.Sc. Mathematics at the University of the Basque Country, private remedial teacher, WiSe 2013-14.
For more details regarding my teaching experience, see the corresponding section of my CV.
Communication/Popularization of Mathematics
During the
Fête de la Science 2022 at the
Colegio de España in Paris, I participated with a stand open to the general public in which I performed and explained magic tricks based on mathematics in both English and Spanish on the 7th of May of 2022.
2021
Semi... ¿qué?
Las múltiples formas de lo semialgebraico y cómo determinarlasVideo
Presented at
Congreso Online Divulga NextGen (1ª edición) on the 28th of May of 2021. Accompanying text: J. Tonelli-Cueto. Semi... ¿qué? Las múltiples formas de lo semialgebraico y cómo determinarlas (Spanish) [Semi... what? The multiple shapes of the semialgebraic and how to determine them]. In
Libro de Resúmenes de Divulga NextGen I (26, 27 y 28 de Mayo de 2021), pages 42-43. Zenodo, 2021..
DOI 10.5281/zenodo.4718329
2019
¿Cómo computar la “forma” de un conjunto semialgebraico?Text
J. Tonelli-Cueto. ¿Cómo computar la “forma” de un conjunto semialgebraico? (Spanish) [How to compute the “shape” of a semialgebraic set?]. In J. Tonelli-Cueto.
Condition and Homology in Semialgebraic Geometry. Doctoral thesis, Technische Universität Berlin, DepositOnce Repository, December 2019.
DOI 10.14279/depositonce-9453
2015
Emmy Noether, un retrato alfabéticoArticle
Otra paradoja probabilística del infinito [Spanish]Leer Post
During my period as editor (together with Ricardo Grande) of the $\pi kasle$ magazine, I (co)wrote 16 articles, of which 9 were interviews, and designed the first nine covers. Below, a list with a selection of my articles in $\pi kasle$. For the full list of articles, see the description webpage of $\pi kasle$. For the covers, see Multimedia or the description webpage of $\pi kasle$.
2011
Moléculas en el espejo ...o cómo la topología se manifiesta en la químicaArticle
J. Tonelli-Cueto. Moléculas en el espejo ...o cómo la topología se manifiesta en la química (Spanish) [Molecules in the mirror ...or how topology manifests in chemistry], Revista \(\pi kasle\) Aldizkaria, 2:10-13, 2011.
2012
Emmy Noether: La madre del álgebra abstractaArticle
J. Tonelli-Cueto. Emmy Noether: La madre del álgebra abstracta (Spanish) [Emmy Noether: The mother of abstract algebra], Revista \(\pi kasle\) Aldizkaria, 4:15-16, 2012.
Entrevista a Carlos Beltrán y Luis Miguel PardoInterview
J. Tonelli-Cueto and R. Grande. Entrevista a Carlos Beltrán y Luis Miguel Pardo (Spanish) [Interview to Carlos Beltrán and Luis Miguel Pardo], Revista \(\pi kasle\) Aldizkaria, 5:12-16, 2012.
R. Grande and J. Tonelli-Cueto. Interview with David Cox, Revista \(\pi kasle\) Aldizkaria, 6:10-12, 2012.
2013
J. Tonelli-Cueto and R. Grande. Interview with Christiane Rousseau, Revista $\pi kasle$ Aldizkaria, 7:10-11, 2013.
William Thurston: El visionario de la tercera dimensiónArticle
J. Tonelli-Cueto. William Thurston: El visionario de la tercera dimensión (Spanish) [William Thurston: The visionary of the third dimension], Revista $\pi kasle$ Aldizkaria, 8:24-27, 2013.
2014
R. Grande and J. Tonelli-Cueto. Interview with Peter Neumann, Revista $\pi kasle$ Aldizkaria, 9:8-10, 2014.
J. Tonelli-Cueto and R. Grande. Interview with Ronald de Vore, Revista $\pi kasle$ Aldizkaria, 10:9-13, 2014.
During my role as editor of $\pi kasle$, I also organized several events for the popularization of mathematics.
2013
$\pi kasle$'s Martin Gardner Celebration of Mind (23/Oct/2013)Event
Organized by J. Tonelli-Cueto on the 23rd of October of 2013.
2014
$\pi kasle$'s Mathematics, Magic and Mystery Workshop (9&30/Apr/2014)Event
Organized by R. Grande and J. Tonelli-Cueto on the 9th and 30th of April of 2014
Miscellanea
Mathematical Writtings
2015
J. Tonelli-Cueto. Symmetric extensions of polytopes. Manuscript, 2015.
2012
A. Gil Lerchundi, E. Landa Cilleros, O. Ruiz Delgado, and J. Tonelli-Cueto. Torres de Hanoi (Spanish) [Hanoi Towers]. Manuscript, 2012.
Demostrando el Teorema de la Curva de JordanManuscript
J. Tonelli-Cueto. Demostrando el Teorema de la Curva de Jordan (Spanish) [Proving the Jordan Curve Theorem]. Manuscript, 2012.
Una aplicación de la matrices de Householder a la geometríaManuscript
J. Tonelli-Cueto. Una aplicación de la matrices de Householder a la geometría (Spanish) [An application of Householder matrices to geometry]. Manuscript, 2012.
2011
Matriz exponencial y ecuaciones diferencialesManuscrito
A. Gil Lertxundi, and J. Tonelli-Cueto. Matriz exponencial y ecuaciones diferenciales (Spanish) [Matrix exponential and differential equations]. Manuscrito, 2011.
Literary Writtings
2018
I. Maesman. Selfinitions. Calligrams, 2018.
2014
I. Maesman. Routine. Story, 2014.
I. Maesman. Girl in cold. Story, 2014.
2012
I. Maesman. ¡ROMPEDLAS! (Spanish) [BREAK THEM!]. Poem, 2012. With translation.
