David González Álvaro

Profesor Contratado Doctor.

Universidad Politécnica de Madrid.
ETSI de Caminos, Canales y Puertos.
Departamento de Matemática e Informática Aplicadas a las Ingenierías Civil y Naval.


Teaching

2023/2024: Cálculo II (GICyT)
2023/2024: Teoría de Campos (GICyT)

Past teaching

Información para estudiantes de Matemáticas:

Research

Preprints

12. (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)

11. (With M. Zarei) Positive intermediate curvatures and Ricci flow. To appear in Proc. Amer. Math. Soc. https://doi.org/10.1090/proc/16752
10. (With M. Domínguez-Vázquez and L. Mouillé) Infinite families of manifolds of positive k-th intermediate Ricci curvature with k small. Math. Ann. 386 (2023), no. 3-4, 1979--2014.
9. (With J. DeVito) Biquotient vector bundles with no inverse. Math. Z. 302 (2022), no. 2, 1267–1278.
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. New Trends in Geometric Analysis, 227--244, RSME Springer Ser., 10, Springer, Cham, 2023.


Short CV

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

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)