W. Jacob Ogden

Ph. D. Candidate, Department of Mathematics, University of Washington

Email: wjogden@uw.edu

Research Interests: Partial Differential Equations, Differential Geometry

Advisor: Yu Yuan

Papers:

• Calibrated submanifolds with flat normal bundles. Preprint 2025.
• Grim raindrop: a translating solution to curve diffusion flow, (with M. Warren). To appear in Proc. Amer. Math. Soc.
• A constant rank theorem for special Lagrangian equations, (with Y. Yuan). Submitted.
• Remarks on the complex Euler equations, (with D. Albritton). Commun. Pure Appl. Anal. 23 (2024), no 10, 1407-1422. (arXiv preprint.)
• Sobolev and Schatten estimates for the complex Green operator on spheres, (with E. Kim, T. Reerink, Y. Zeytuncu). New York J. Math. 26 (2020) 261-271. (arXiv preprint.)
• Polynomials on the Sierpinski gasket with respect to different Laplacians which are symmetric and self-similar, (with C. Loring, E. Sandine, R. S. Strichartz). J. Fractal Geom. 7 (2020) no. 4 387-444. (arXiv preprint.)

CV