Dr Alexander Fish

F07 - Carslaw Building
The University of Sydney

Telephone 9351 2968
Fax 9351 4534

Website Personal web page

Biographical details

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 and for another three years I have been Van Vleck Assistant Professor at UW-Madison .

Research interests

Alexander Fish is a member of the Geometry, Topology and Analysis Research Group, in which he works in works in ergodic theory, with particular emphasis on ergodic theoretical problems related to additive combinatorics of discrete amenable groups. Dr Fish is also interested in applications of harmonic analysis and representation theory to problems in wireless communication.

Teaching and supervision

Timetable

Selected publications

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Journals

  • Fish, A., Gurevich, S., Hadani, R., Sayeed, A., Schwartz, O. (2013). Delay-Doppler Channel Estimation in Almost Linear Complexity. IEEE Transactions on Information Theory, 59(11), 7632-7644. [More Information]
  • Fish, A. (2011). Solvability of linear equations within weak mixing sets. Israel Journal of Mathematics, 184(1), 477-504. [More Information]
  • Fish, A., Nazarov, F., Ryabogin, D., Zvavitch, A. (2011). The unit ball is an attractor of the intersection body operator. Advances in Mathematics, 226(3), 2629-2642. [More Information]
  • Einsiedler, M., Fish, A. (2010). Rigidity of measures invariant under the action of a multiplicative semigroup of polynomial growth on T. Ergodic Theory and Dynamical Systems, 30(1), 151-157. [More Information]
  • Beiglbock, M., Bergelson, V., Fish, A. (2010). Sumset phenomenon in countable amenable groups. Advances in Mathematics, 223(2), 416-432. [More Information]
  • Bjorklund, M., Fish, A. (2009). Continuous Measures of Homogenous Spaces. Annales de l'Institut Fourier, 59(6), 2169-2174. [More Information]
  • Bjorklund, M., Fish, A. (2009). Equidistribution of dilations of polynomial curves in nilmanifolds. Proceedings of the American Mathematical Society, 137(6), 2111-2123.
  • Beiglbock, M., Bergelson, V., Downarowicz, T., Fish, A. (2009). Solvability of Rado systems in D-sets. Topology and Its Applications: a journal devoted to general, geometric, set-theoretic and algebraic topology, 156(16), 2565-2571. [More Information]

Conferences

  • Fish, A., Gurevich, S. (2014). Almost linear complexity methods for delay-Doppler channel estimation. International Zurich Seminar on Communications 2014, Zurich: ETH-Zürich.
  • Fish, A., Gurevich, S. (2013). The Incidence and Cross Methods for Efficient Radar Detection. 2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton), Piscataway, NJ, USA: (IEEE) Institute of Electrical and Electronics Engineers. [More Information]
  • Fish, A., Gurevich, S., Hadani, R., Sayeed, A., Schwartz, O. (2012). Delay-Doppler Channel Estimation with Almost Linear Complexity. 2012 IEEE International Symposium on Information Theory (ISIT2012), Piscataway: (IEEE) Institute of Electrical and Electronics Engineers.

2014

  • Fish, A., Gurevich, S. (2014). Almost linear complexity methods for delay-Doppler channel estimation. International Zurich Seminar on Communications 2014, Zurich: ETH-Zürich.

2013

  • Fish, A., Gurevich, S., Hadani, R., Sayeed, A., Schwartz, O. (2013). Delay-Doppler Channel Estimation in Almost Linear Complexity. IEEE Transactions on Information Theory, 59(11), 7632-7644. [More Information]
  • Fish, A., Gurevich, S. (2013). The Incidence and Cross Methods for Efficient Radar Detection. 2013 51st Annual Allerton Conference on Communication, Control, and Computing (Allerton), Piscataway, NJ, USA: (IEEE) Institute of Electrical and Electronics Engineers. [More Information]

2012

  • Fish, A., Gurevich, S., Hadani, R., Sayeed, A., Schwartz, O. (2012). Delay-Doppler Channel Estimation with Almost Linear Complexity. 2012 IEEE International Symposium on Information Theory (ISIT2012), Piscataway: (IEEE) Institute of Electrical and Electronics Engineers.

2011

  • Fish, A. (2011). Solvability of linear equations within weak mixing sets. Israel Journal of Mathematics, 184(1), 477-504. [More Information]
  • Fish, A., Nazarov, F., Ryabogin, D., Zvavitch, A. (2011). The unit ball is an attractor of the intersection body operator. Advances in Mathematics, 226(3), 2629-2642. [More Information]

2010

  • Einsiedler, M., Fish, A. (2010). Rigidity of measures invariant under the action of a multiplicative semigroup of polynomial growth on T. Ergodic Theory and Dynamical Systems, 30(1), 151-157. [More Information]
  • Beiglbock, M., Bergelson, V., Fish, A. (2010). Sumset phenomenon in countable amenable groups. Advances in Mathematics, 223(2), 416-432. [More Information]

2009

  • Bjorklund, M., Fish, A. (2009). Continuous Measures of Homogenous Spaces. Annales de l'Institut Fourier, 59(6), 2169-2174. [More Information]
  • Bjorklund, M., Fish, A. (2009). Equidistribution of dilations of polynomial curves in nilmanifolds. Proceedings of the American Mathematical Society, 137(6), 2111-2123.
  • Beiglbock, M., Bergelson, V., Downarowicz, T., Fish, A. (2009). Solvability of Rado systems in D-sets. Topology and Its Applications: a journal devoted to general, geometric, set-theoretic and algebraic topology, 156(16), 2565-2571. [More Information]

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