Biography and education
I am originally from Valera, a town in the Venezuelan Andes. I have been at Texas State since 2019. Before that, my academic homes (in reverse chronological order) where UMass and UCLA, with shorter stays at the Fields Institute, the Mathematical Sciences Research Institute, and the Institute for Advanced Study. I obtained my PhD at UT Austin in 2010 and my Licenciatura en Matemáticas at Universidad Simón Bolívar in 2006.
Research Interests
Featured grants
- Guillen Matheus, Nestor D. CAREER: Integro-differential and transport problems in partial differential equations, National Science Foundation, Federal, $498969. (Submitted: July 2021, Funded: July 1, 2022 - May 2027). Grant.
- Guillen Matheus, Nestor D. Collaborative Research: The Structure of Nonlocal Operators and Applications, National Science Foundation, Federal, $135000. (Funded: 2017 - 2020). Grant.
- Guillen Matheus, Nestor D. Geometric and analytic issues of nonlinear equations modeling non-local phenomena, National Science Foundation, Federal, $102000. (Funded: 2012 - 2016). Grant.
Featured scholarly/creative works
- Guillen, N., & Schwab, R. W. (2019). Min–max formulas for nonlocal elliptic operators. Calculus of Variations and Partial Differential Equations, 58(6). https://doi.org/10.1007/s00526-019-1631-z
- Guillen Matheus, N. D., & Gualdani, M. (2019). On $A_p$ weights and the Landau equation. Calculus of Variations and Partial Differential Equations. https://doi.org/10.1007/s00526-018-1451-6
- Guillen, N., Edelstein, M., Ben-Chen, M., & Solomon, J. (2023). A Convex Optimization Framework for Regularized Geodesic Distances. https://doi.org/10.48550/arXiv.2305.13101
- Guillen, N., & Gualdani, M. P. (2022). Hardy’s inequality and the isotropic Landau equation. Journal of Functional Analysis, 283(6). https://doi.org/https://doi.org/10.1016/j.jfa.2022.109559
- Guillen, N., Kim, I., & Mellet, A. (2022). A Hele-Shaw limit without monotonicity. Archive for Rational Mechanics and Analysis. https://doi.org/10.1007/s00205-021-01750-4
Featured awards
- Award / Honor Recipient: CAREER, National Science Foundation. July 1, 2022 - Present
- Award / Honor Recipient: Visiting Researcher at the Fields Institute Toronto, Canada. 2014
Featured service activities
- Editor
Electronic Journal of Differential Equations
- Reviewer / Referee
Inventiones Mathematicae
- Reviewer / Referee
Transactions of the American Mathematical Society
- Reviewer / Referee
Publications Mathématiques de l'IHÉS
- Reviewer / Referee
Notices of the American Mathematical Society
- Reviewer / Referee
SIGGRAPH Asia