*In the German system, “mit Auszeichnung bestanden (summa cum laude)” is the maximum grade of the PhD, which is obtained only when all evaluators give the maximum grade to both the thesis and the presentation.
**In the German system, grades range from 5.0 (lowest grade) to 1.0 (highest grade).
***In the Spanish system, grades range from 0 (lowest grade) to 10 (highest grade).
This is a journal version of Plantinga-Vegter algorithm takes average polynomial time.
Journal papers
2021
Computing the Homology of Semialgebraic Sets. II: General FormulasarXiv:1903.10710
P. Bürgisser, F. Cucker and J. Tonelli-Cueto. Computing the Homology of Semialgebraic Sets. II: General Formulas, Foundations of Computational Mathematics, 21(5):1279–1316, 2021. First on-line: January 2021. DOI 10.1007/s10208-020-09483-8[SharedIt LINK]
2020
Computing the Homology of Semialgebraic Sets. I: Lax FormulasarXiv:1807.06435
P. Bürgisser, F. Cucker and J. Tonelli-Cueto. Computing the Homology of Semialgebraic Sets. I: Lax Formulas, Foundations of Computational Mathematics, 20(1):71-119, 2020. First on-line: May 2019. DOI 10.1007/s10208-019-09418-y[SharedIt LINK]
2019
On the Number of Real Zeros of Random Fewnomials
arXiv:1811.09425
P. Bürgisser, A.A. Ergür and J. Tonelli-Cueto. On the Number of Real Zeros of Random Fewnomials, SIAM Journal on Applied Algebra and Geometry, 3(4):721–732, 2019. DOI 10.1137/18M1228682
Conference papers
2020
Condition Numbers for the Cube. I: Univariate Polynomials and HypersurfacesarXiv:2006.04423v1
J. Tonelli-Cueto and E. Tsigaridas. Condition Numbers for the Cube. I: Univariate Polynomials and Hypersurfaces. In Proceedings of the 2020 International Symposium on Symbolic and Algebraic Computation, ISSAC'20, pages 434-441. ACM, New York, 2020. DOI 10.1145/3373207.3404054[Author-Ized LINK]
2019
Plantinga-Vegter algorithm takes average polynomial timearXiv:1901.09234
F. Cucker, A.A. Ergür and J. Tonelli-Cueto. Plantinga-Vegter Algorithm takes Average Polynomial Time. In Proceedings of the 2019 International Symposium on Symbolic and Algebraic Computation, ISSAC'19, pages 114-121. ACM, New York, 2019. DOI 10.1145/3326229.3326252[Author-Ized LINK]
Other
2019
Condition and Homology in Semialgebraic Geometrydoctoral thesis
J. Tonelli-Cueto. Condition and Homology in Semialgebraic Geometry. PhD thesis, Technsiche Universität Berlin, DepositOnce Repository, December 2019. DOI 10.14279/depositonce-9453
Semi... ¿qué? Las múltiples formas de lo semialgebraico y cómo determinarlasArticle
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
J. Tonelli-Cueto. Emmy Noether, un retrato alfabético (Spanish) [Emmy Noether, an alphabetic portrait], Blog “mujeres con ciencia”, October 2020. PDF document with translation.
Ana Navarro Quiles, Eva Primo Tárraga, Clara Burgos Simón, David Martínez Rodríguez, Elena López Navarro, Alberto Espuny Díaz, Miguel Reula Martín, José Alberto Conejero Casares and Patricio Almirón Cuadros
The levels given follow the Common European Framework
of Reference for Languages: Learning, Teaching, Assessment. In this framework, the levels are, from lowest to highest, A1, A2, B1, B2, C1 and C2. The B2 level indicates Vantage Independent Use, the C1 level Effective Operational Proficiency of the language and the C2 level Mastery of it.
References
Peter Bürgisser, pbuerg_AT_math.tu-berlin . de, Technische Universität Berlin.
Felipe Cucker, macucker_AT_cityu.edu . hk, CityU Hong Kong.
Alperen Ali Ergür, aergur_AT_cs.cmu . edu, Carnegie Mellon University.
