David González Álvaro

Welcome to my webpage. Since september 2019 I hold a "Profesor Ayudante Doctor" position at the Universidad Politécnica de Madrid.


Short CV

Education (all at Universidad Autónoma de Madrid): Employment: Other information:

Research

Preprints

9. (With M. Domínguez-Vázquez and L. Mouillé) Infinite families of manifolds of positive k-th intermediate Ricci curvature with k small. arXiv:2012.11640
8. (With M. Amann and M. Zibrowius) Vector bundles of non-negative curvature over cohomogeneity one manifolds. Submitted. arXiv:1910.05248

Articles (here you can find the arXiv versions)

7. (With I. Belegradek) Diffeomorphic souls and disconnected moduli spaces of nonnegatively curved metrics. Accepted for publication in Ann. Inst. Fourier.
6. (With M. Zibrowius) The stable converse soul question for positively curved homogeneous spaces. Accepted for publication in J. Differential Geom.
5. (With A. Dessai) Moduli space of metrics of nonnegative sectional or positive Ricci curvature on homotopy real projective spaces. Trans. Amer. Math. Soc. 374 (2021), no. 1, 1--33.
4. (With M. Zibrowius) Open manifolds with non-homeomorphic positively curved souls. Math. Proc. Cambridge Philos. Soc. 169 (2020), no. 2, 357–376. Link to the C++ program Eschenburg calculator.
3. (With M. Radeschi) A note on the Petersen-Wilhelm conjecture. Proc. Amer. Math. Soc. 146 (2018), no. 10, 4447--4458.
2. Nonnegative curvature on stable bundles over compact rank one symmetric spaces. Adv. Math. 307 (2017), 53--71.
1. (With L. Guijarro) Soft restrictions on positively curved Riemannian submersions. J. Geom. Anal. 26 (2016), no. 2, 1442--1452.


Teaching

Escuela: ETSI de Caminos, Canales y Puertos.
Departmento: Matemática e Informática Aplicadas a las Ingenierías Civil y Naval.

2020/2021: Cálculo II
2020/2021: Informática

2019/2020: Informática

Past teaching at the University of Fribourg

Past teaching at the Universidad Autónoma de Madrid


Contact and address

E-mail: david.gonzalez.alvaroATupm.es

Office: Planta 2ª (torre)

Calle del Profesor Aranguren, 3
ETSI de Caminos, Canales y Puertos
Universidad Politécnica de Madrid
28040 Madrid (Spain)