Alexander Fish

Van Vleck Assistant Professor

Contact

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

afish(you know what)math.wisc.edu

Teaching website

This semester I teach courses Math 213 and Math 521.

Research interests

Ergodic theory, additive combinatorics, convex geometry, wireless communication.

Biography

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

Afterwards, for three years I have been Zassenhaus Assistant Professor at Ohio State University.

My full CV.

Preprints

Product set theorems in countable amenable groups
with M. Bjorklund. In preparation.

Submitted

Publications

10.

Computing Matched Filter in Linear Time
with S.Gurevich, R.Hadani, A.Sayeed, O.Schwartz. Accepted in Proceedings of ISIT 2012.

9.

Polynomial largeness of sumsets and totally ergodic sets
Online Journal of Analytic Combinatorics, Issue 5, 2010.

8.

The unit ball is an attractor of the intersection body operator
with F. Nazarov, D. Ryabogin and A. Zvavitch. Advances in Mathematics 226 (2011) 2629-2642.

7.

Solvability of linear equations within weak mixing sets
Israel Journal of Math. 184 (2011), 477-504.

6.

Sumset Phenomenon in Countable Amenable Groups
with M. Beiglboeck and V.Bergelson. Advances in Mathematics 223 (2010) 416-432.

5.

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. Annales de l'institut Fourier, 59 no. 6 (2009), p. 2169-2174.

3.

Solvability of Rado systems in D-sets
with M. Beiglboeck, V. Bergelson and T. Downarowicz. Topology Appl. 156 (2009), no. 16, 2565--2571.

2.

Rigidity of measures invariant under the action of a multiplicative semigroup of polynomial growth on T
with M. Einsiedler. Ergodic Theory and Dynamical Systems, 30 (2010), no. 1, 151--157.

1.

Liouville Random functions and normal sets
Acta Arith. 120 (2005), no. 2, 191--196.