David González Álvaro

Profesor Contratado Doctor.

Universidad Politécnica de Madrid.
ETSI de Caminos, Canales y Puertos.


Short CV

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

Research

Preprints

11. (With J. DeVito) Examples of biquotients whose tangent bundle is not a biquotient vector bundle. Submitted. arXiv:2109.14161

Articles (here you can find the arXiv versions)

10. (With J. DeVito) Biquotient vector bundles with no inverse. Math. Z. (2022). https://doi.org/10.1007/s00209-022-03095-4
9. (With M. Domínguez-Vázquez and L. Mouillé) Infinite families of manifolds of positive k-th intermediate Ricci curvature with k small. Math. Ann. (2022). https://doi.org/10.1007/s00208-022-02420-w
8. (With M. Amann and M. Zibrowius) Vector bundles of non-negative curvature over cohomogeneity one manifolds. Adv. Math. 405 (2022), Paper No. 108477, 51 pp.
7. (With I. Belegradek) Diffeomorphic souls and disconnected moduli spaces of nonnegatively curved metrics. Ann. Inst. Fourier (Grenoble) 72 (2022), no. 1, 109--122.
6. (With M. Zibrowius) The stable converse soul question for positively curved homogeneous spaces. J. Differential Geom. 119 (2021), no. 2, 261--307.
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.

Survey

(With L. Guijarro) On the double soul conjecture.


Teaching

Departmento: Matemática e Informática Aplicadas a las Ingenierías Civil y Naval.

2022/2023: Cálculo II
2022/2023: Teoría de Campos

2021/2022: Cálculo II
2021/2022: Informática

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)