Profesor Contratado Doctor.
Universidad Politécnica de Madrid.
ETSI de Caminos, Canales y Puertos.
Education (all at Universidad Autónoma de Madrid):
Employment:
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.
(With L. Guijarro) On the double soul conjecture.
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
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)