I work on Whitney Problems, developing the theory of interpolation, extension, and approximation in different function spaces.
I am an NSF Postdoctoral Fellow and CLE Moore Instructor in the Mathematics Department at the Massachusetts Institute of Technology.
CV
Publications
M. K. Drake, Finiteness Principles for Smooth Convex Functions, Adv. Math. 445 (2024). arxiv
C. Fefferman, M. Drake, K. Ren, & A. Skorobogatova, Sobolev Extension in a Simple Case, Adv. Nonlin. Stud. (to appear) arxiv
D. Azagra, M. Drake, & P. Hajłasz, C2-Lusin Approximation of Strongly Convex Functions, Invent. Math. arxiv
M. K. Drake, Approximate Extension in Sobolev Space, Adv. Math. 420 (2023). arxiv
Current Teaching (Spring '24)
18.102 Intro to Functional Analysis (Canvas), MIT access only