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Professor David Preiss, FRS

Picture of David Preiss  

David Preiss

Professor of Mathematics

Office: B1.26
Phone: +44 (0)24 7657 4828
Email: D dot Preiss at warwick dot ac dot uk

Teaching Responsibilities 2017/18: None


Research Interests:
Mathematical analysis

Workshop Relations Between Banach Space Theory and Geometric Measure Theory


Selected recent publications:

Preiss, D., Kenig, C., and Toro, T., Boundary structure and size in terms of interior and exterior harmonic measures in higher dimensions. J. Amer. Math. Soc., 22 (2009), 771-796.

Preiss, D., Tolsa, X., and Toro, T., On the smoothness of Hölder doubling measures. Calc. Var. Partial Differential Equations, 35 (2009), no. 3, 339-363.

Lindenstrauss, J., Preiss D., Tišer J. Fréchet differentiability of Lipschitz functions via a variational principle. J. Eur. Math. Soc., 12 (2010), no. 2, 385-412.

Preiss D. Tilings of Hilbert spaces. Mathematika, 56 (2010), 217-230.

Preiss, D., and Gratwick, R., A one-dimensional variational problem with continuous Lagrangian and singular minimizer. Arch. Ration. Mech. Anal., 202 (2011), no. 1, 177-211.

Alberti, G., Csornyei M., Preiss D., Winter S. Differentiability of Lipschitz functions, structure of null sets, and other problems. In Proceedings of the International Congress of Mathematicians 2010, pp 1379-1394. World Scientific Publishing 2011.

Lindenstrauss, J., Preiss D., Tišer J. Fréchet differentiability of Lipschitz functions and porous sets in Banach spaces. Annals of Mathematics Studies; no. 179. Princeton University Press 2012.

Most relevant research grant:

European Research Council Advanced Fellowship to study “Local Structure of Sets, Measures and Currents."

For more information and further publications see David Preiss's homepage