Silvino Reyes Farina

About

I am a doctoral candidate in Mathematics at the University of Pittsburgh studying under the supervision of Dr. Armin Schikorra, where my research focuses on nonlocal and dispersive geometric flows, such as fractional Schrödinger and half-wave maps. My work combines harmonic analysis and geometric PDE methods to understand how nonlocal operators and manifold geometry jointly influence regularity and uniqueness.

I study nonlocal and dispersive geometric flows, such as fractional Schrödinger and half-wave maps. My work combines harmonic analysis and geometric PDE methods to understand how nonlocal operators and manifold geometry jointly influence regularity and uniqueness.

Publications

Silvino Reyes Farina and Armin Schikorra. Wave systems with antisymmetric potential in dimension d ≥ 4 and well-posedness for (half)-wave maps. Journal of Differential Equations (In press), 2025. https://arxiv.org/abs/2404.19421

Ahmed Dughayshim, Silvino Reyes Farina, and Armin Schikorra. Local well-posedness for cubic fractional Schrödinger equations with derivatives on the right-hand side. Under review, 2025. https://arxiv.org/abs/2503.20971

Eugene Eyeson, Silvino Reyes Farina, and Armin Schikorra. On uniqueness for half-wave maps in dimension d ≥ 3. Trans. of the American Mathematical Society, Series B, 11(15), 508-539, 2024. https://www.ams.org/journals/btran/2024-11-15/S2330-0000-2024-00171-1/

Silvino Reyes Farina. On uniqueness for hyperbolic half-wave maps in dimension d ≥ 3. Under review, 2024. https://arxiv.org/abs/2407.06448

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