David Bate Reader Office: B1.20 Phone: +44 (0)24 761 50262 Email:

Teaching Responsibilities 2023/24:

Research Interests: Geometric measure theory, real analysis

---

Lecture Notes:

Most relevant publications:

Characterising rectifiable metric spaces using tangent spaces. Invent. math. 230, 995-1070 (2022)

Purely unrectifiable metric spaces and perturbations of Lipschitz functions. Acta Math., Vol. 224, No. 1 (2020), pp. 1-65

The Besicovitch-Federer projection theorem is false in every infinite dimensional Banach space (with M. Csörnyei and B. Wilson). Isr. J. Math. (2017) 220: 175

Characterizations of rectifiable metric measure spaces (with S. Li). Ann. Sci. Éc. Norm. Supér. (4) 50 (2017), no. 1, 1-37

Structure of measures in Lipschitz differentiability spaces. J. Amer. Math. Soc. 28 (2015), no. 2, 412-482

All publications and arXiv links

Recent research grants:

ERC Starting Grant €1.42M.

Academy of Finland Postdoctoral Researcher grant €236K.

Recent awards & prizes:

Whitehead Prize, London Mathematical Society, 2023.

Personal Homepage: david.theoremsfrom.coffee