ANTOINE SONG

I am currently working at Caltech as an assistant professor. I am also a Sloan research fellow. Previously, I completed my PhD in 2019 at Princeton University, I continued as a postdoc at UC Berkeley and was a Clay fellow from 2019 to 2024.

My research is mostly in Differential Geometry and Geometric Analysis. I am broadly interested in shapes, especially those which are optimal under natural constraints. In particular, many of my papers involve minimal surfaces and harmonic maps. Recently, I have been exploring new bridges between these geometric objects and other fields like geometric group theory, representation theory, random matrices.


Here is my CV.

Email: aysong@caltech.edu


Research




to appear in J. Eur. Math. Soc.



to appear in Invent. Math.


to appear in Séminaire de théorie spectrale et géométrie


to appear in Geom. Topol.



Geom. Funct. Anal., vol. 31, no. 4, pp. 948-980 (2021)


to appear in Duke Math. J.



to appear in Ann. Sci. Ec. Norm. Supér.


to appear in Ann. of Math.


Invent. Math., vol. 216, pp. 423-443 (2019)


Geom. Topol., vol. 23, no. 7, pp. 3501-3535 (2019)


J. Differential Geom., vol. 110, no. 2, pp. 345-377 (2018)