Faculty Profile for Dr. Nestor D Guillen Matheus

profile photo for Dr. Nestor D Guillen Matheus
Dr. Nestor D Guillen Matheus
Associate Professor — Mathematics
MCS 468
phone: (512) 245-3934

Biography Section

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

Analysis of partial differential equations, the calculus of variations, and scientific computing, for publications/preprints/lecture notes go to www.ndguillen.com

Selected Scholarly/Creative Work

  • 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

Selected Awards

  • Award / Honor Recipient: CAREER, National Science Foundation. July 1, 2022 - Present
  • Award / Honor Recipient: Visiting Researcher at the Fields Institute Toronto, Canada. 2014

Selected 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.

Selected Service Activities

Electronic Journal of Differential Equations
July 2022-Present
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