Open University of Israel

Dr. Gil Alon

Dept. of Mathematics and Computer Science                                



Updated: February 2020


§  Personal

§  Professional Education

§  Fields of Research

§  Academic Appointments

§  Administrative and Professional Activities

§  List of Publications



Tel: 972-9-778-0776
Fax: 972-9-778-2631


Born: Jerusalem, April 8, 1973




Ph.D., Mathematics, The Hebrew University, Jerusalem, Israel


M.Sc, Mathematics, The Hebrew University, Jerusalem, Israel


B.Sc, Mathematics and Computer Science, The Hebrew University, Jerusalem, Israel


Fields of Research

§  Number theory

§  Algebra

§  Representation Theory

§  Analytic and Algebraic geometry over p-adic fields

§  Random walks on groups


Academic Appointments

Since 2017

Senior Lecturer, The Open University of Israel


Lecturer, The Open University of Israel


Post-Doctoral Fellow, The Weizmann Institute of Science, Rehovot, Israel


Post-Doctoral Fellow, McGill University, Montreal, Quebec


Administrative and Professional Activities

Administrative Activities

Since 2008, Member of the academic subcommittee of mathematics and computer science, the Open University.

2011-2015 Head of the Mathematics field at the Open University.

2011-2013 Member of the accreditation committee, The Open University.

2013-2015 Secretaty of the Open University faculty council.

Since 2018, Head of the Department of Mathematics and Computer Science at the Open University.

Other Professional Activities

2009-2016, Voluntary research consultant, The Weizmann Institute of Science.


List of Publications

Articles in Refereed Journals

  • Gil Alon and Ehud de Shalit, On the Cohomology of Drinfeld's p-adic symmetric domain, Israel J. Math 129 (2002), 1-20.
  • Gil Alon and Ehud de Shalit, Cohomology of Discrete Groups in Harmonic Cochains on Buildings, Israel J. Math 135 (2003), 255-380.
  • Gil Alon, Cohomology of Local Systems Coming from p-adic Hyperplane Arrangements, Israel J. Math 147 (2005), 189-208.
  • Gil Alon and Pete L. Clark, On the Number of Representations of an Integer by a Linear Form, Journal of Integer Sequences 8 (2005), 05.5.2. pdf
  • Gil Alon and Gady Kozma, Ordering the Representations of S_n Using the Interchange Process, Canad. Math. Bull. 56 (2013), 13-30. arXiv:1003.1710 
  • Gil Alon and Gady Kozma, The probability of long cycles in interchange processes, Duke Math. J. 162, Number 9 (2013), 1567-1585. arXiv:1009.3723
  • Gil Alon, Eigenvalues of the Adin-Roichman Matrices, Linear Algebra and Its Applications 450C (2014), 280-292.  arXiv:1301.5760
  • Gil Alon, Semicharacters of Groups, Communications in Algebra 43, Issue 5 (2015), 1771-1783 arXiv:1112.6125
  • Gil Alon and Inbal Tuvi Arad, Improved Algorithms for Symmetry Analysis: Structure Preserving Permutations, Journal of Mathematical Chemistry, 56, 193-212 (2018). Online access
  • Inbal Tuvi-Arad and Gil Alon, Improved Algorithms for Quantifying the Near Symmetry of Proteins: Complete Side Chains Analysis, Journal of Cheminformatics, 11:39, 1-11 (2019). Online access
  • Gil Alon and Elad Paran, A short proof of the fundamental theorem of algebra over the quaternions, to appear in American Mathematical Monthly.
  • Gil Alon, François Legrand and Elad Paran, Galois groups over quaternion rational function fields, to appear in Comptes Rendus Mathématique.


  • Gil Alon, Automorphisms of Products of Drinfeld Half Planes. arXiv:1703:00059 
  • Gil Alon and Gady Kozma, The Mean-Field Quantum Heisenberg Ferromagnet via Representation Theory. arXiv:1811.10530
  • Gil Alon and Gady Kozma, Comparing with Octopi. arXiv:1811.10537
  • Gil Alon and Elad Paran, A Quaternionic Nullstellensatz. arXiv:1911.10595


Thesis and Dissertation

  • M.Sc. Thesis: Congruence Properties of Modular Forms. Supervised by Prof. Ehud de Shalit. pdf
  • Ph.D. Dissertation: Geometry of p-adic Symmetric Spaces. Supervised by Prof. Ehud de Shalit.

Open University Books

  • Infinitesimal Calculus 1, Course textbook [Hebrew], The Open University, 2014.
  • Infinitesimal Calculus 2, Unit 7: Differentiable functions of two variables [Hebrew], The Open University, 2015.


  • Mathematical puzzle corner in Odyssey Magazine [Hebrew]. From issue 22 (January 2014) to issue 29 (October 2015).