Carlos Román Assistant Professor of Mathematics
Research interests: My research interests lie primarily in the calculus of variations, partial differential equations, mathematical physics, and geometric analysis.
Email: carlos.roman (at) uc.cl
Master's students
| 2025- | Tomás Thiers
● Co-directed with Edgardo Stockmeyer. ● Subject: London equation on a superconducting spheroid. |
| 2025- | Kai Yamamoto
● Subject: Pinning in 3D superconductivity and superfluidity. |
| 2024−2025 | Matías Díaz-Vera
● Title: Vortex pinning in inhomogeneous type-II superconductors. ● Currently a Ph.D. student at the Georgia Institute of Technology. ● Check out our latest preprint: First critical field in the pinned three dimensional Ginzburg-Landau model of superconductivity |
| 2022−2023 | Fabián Sepúlveda
● Co-directed with Axel Osses. ● Title: Pattern formation on a Gierer-Meinhardt model via Turing instability. ● Check out our new preprint: Novel reaction-diffusion PDE model for fingerprint-like pattern emergence via the Schnakenberg mechanism |
Undergraduate students
| 2026 | Pablo Rojas
● Engineering IPre, second semester 2026. |
| 2026 | Javiera Soto
● IPre, Winter 2026. |
| 2026 | Erwin Gatica
● IPre, Winter 2026. |
| 2026 | Luis Núñez
● Undergraduate thesis. |
| 2025 | Kai Yamamoto
● Engineering IPre, second semester 2025. |
| 2025 | Miguel Barrera
● Undergraduate thesis. |
| 2024 | Alejandro Hidalgo
● IPre, Summer 2024. |
Engineering IPre denotes a semester-long undergraduate research project carrying academic credits, whereas IPre denotes a shorter, funded undergraduate research project.
