Alexander Fish

Van Vleck Assistant Professor

Department of Mathematics
University of Wisconsin,
480 Lincoln Dr.
Madison, WI 53706 USA

afish(you know what)math.wisc.edu

This semester I teach courses Math 275 and Math 431.

Ergodic theory, additive combinatorics, convex geometry.

My supervisor was Hillel Furstenberg. My thesis "Ramsey properties of subsets of N" was defended in 2007, at Hebrew University of Jerusalem, Israel.

My full CV.

1.	Sharp Sumset Inequalities for Bohr sets with M. Bjorklund. In preparation.
2.	Polynomial largeness of sumsets and totally ergodic sets

1.	Solvability of linear equations within weak mixing sets To appear in Israel Journal of Mathematics.
2.	Sumset Phenomenon in Countable Amenable Groups with M. Beiglboeck and V.Bergelson. To appear in Advances of Mathematics.
3.	Equidistribution of dilations of polynomial curves in nilmanifolds with M. Bjorklund. Proc. Amer. Math. Soc. 137 (2009), 2111-2123.
4.	Continuous Measures on Homogeneous Spaces with M. Bjorklund. To appear in Annales de l'Institut Fourier.
5.	Solvability of Rado systems in D-sets with M. Beiglböck, V. Bergelson and T. Downarowicz. Topology Appl. 156 (2009), no. 16, 2565--2571
6.	Rigidity of measures invariant under the action of a multiplicative semigroup of polynomial growth on T with M. Einsiedler. To appear in Ergodic Theory and Dynamical Systems.
7.	Liouville Random functions and normal sets Acta Arith. 120 (2005), no. 2, 191--196.