Adam Jacob

Research

Adam Jacob's primary research interests are differential geometry and partial differential equations, with a focus on complex geometry. Specific interests include geometric flows, singularities and deformations of the Yang-Mills equations, special Lagrangians, and mirror symmetry.

Selected Publications

• "The Yang-Mills flow and the Atiyah-Bott formula on compact Kahler manifolds," Amer. J. Math. 138 (2016), no. 2, 329-365.
• "A special Lagrangian type equation for holomorphic line bundles," (with S.-T. Yau), Math. Ann. 369 (2017). no 1-2, 869-898.
• "(1,1) forms with specified Lagrangian phase: A priori estimates and algebraic obstructions," (with T.C. Collins and S.-T. Yau), Camb. J. Math. 8 (2020), no. 2, 407-452.
• "Special Lagrangian submanifolds of log Calabi-Yau manifolds," (with T.C. Collins and Y.-S. Lin), Duke Math. J. 170 (2021), no. 7. 1291-1375.
• "Adiabatic limits of anti-self-dual connections on collapsed K3 surfaces," (with V. Datar and Y. Zhang), J. Differential Geom. 118 (2021), no. 2, 223-296.

Honors and Awards

• 2024 ICBS Frontiers of Science Award in Mathematics
• 2020 ICCM Best Paper Award, Gold Medal
• 2017 UC Davis Hellman Fellow

Last updated: 2018-09-04