Xavier Ramos Olivé

Mathematical Sciences

Post-Doctoral Scholar

Education:

PhD Mathematics University of California, Riverside 2019

BS Physics University of Barcelona 2014

BS Mathematics Polytechnic University of Catalonia 2013

Email

xramosolive@wpi.edu

Office Location

SL 405B

Personal Website

Research Interests

Research Interests:

Geometric Analysis

Global Analysis on Manifolds

Partial Differential Equations

Comparison Geometry

Scholarly Work

X. Ramos Olivé. Neumann Li-Yau gradient estimate under integral Ricci curvature bounds, Proc. Amer. Math. Soc. 147 (2019), no. 1, 411-426, DOI: 10.1090/proc/14213. - 2019

X. Ramos Olivé, S. Seto, G. Wei and Q.S. Zhang. Zhong-Yang type eigenvalue estimate with integral curvature condition, Math. Z. 296, 595-613 (2020), DOI: 10.1007/s00209- 019-02448-w. - 2020

O. Post, X. Ramos Olivé, C. Rose, Quantitative Sobolev extensions and the Neumann heat kernel for integral Ricci curvature conditions, Preprint, arXiv:2007.04120 [math.DG], July 2020. - 2020

C.C. Anderson, X. Ramos Olivé, K. Spinelli, Manifolds with bounded integral curvature and no positive eigenvalue lower bounds, Preprint, arXiv:2103.11970 [math.DG], March 2021. - 2021

Professional Affiliations

Professional Affiliations:

American Mathematical Society

Association for Women in Mathematics

Mathematical Association of America