The Open University of Israel

Dr. Gil Alon

Dept. of Mathematics and Computer Science                                

 

 

Updated: November 2020

 

§  Personal

§  Professional Education

§  Fields of Research

§  Academic Appointments

§  Administrative and Professional Activities

§  List of Publications

 

Personal

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

E-mail: [email protected]

Born: Jerusalem, April 8, 1973

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Education

2004

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

1999

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

1994

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

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Fields of Research

§  Number theory

§  Algebra

§  Representation Theory

§  Analytic and Algebraic geometry over p-adic fields

§  Random walks on groups

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Academic Appointments

Since 2017

Senior Lecturer, The Open University of Israel

2008-2017

Lecturer, The Open University of Israel

2007-2008

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

2004-2006

Post-Doctoral Fellow, McGill University, Montreal, Quebec

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Administrative and Professional Activities

Administrative Activities

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

2011-2022 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.

2018-2021, Head of the Department of Mathematics and Computer Science at the Open University.

Since 2022, Head of the teaching committee 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.

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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, François Legrand and Elad Paran, Galois groups over quaternion rational function fields, Comptes Rendus Mathématique 358, Number 7 (2020), 785-790
  • Gil Alon and Gady Kozma, Comparing with Octopi, Annales de l’Institut Henri Poincaré 56, Number 4 (2020), 2672-2685. arXiv:1811.10537
  • Gil Alon and Gady Kozma, The Mean-Field Quantum Heisenberg Ferromagnet via Representation Theory, Annales de l'Institut Henri Poincaré, Probabilités et Statistiques Vol. 57, Issue 3, (Jul 2021) ,1203-1228. arXiv:1811.10530
  • Gil Alon and Elad Paran, A Quaternionic Nullstellensatz, Journal of Pure and Applied Algebra, Volume 225, Issue 4, April 2021. arXiv:1911.10595
  • Gil Alon and Elad Paran, A Central Quaternionic Nullstellensatz. Journal of Algebra, Volume 574, May 2021, 252-261. pdf
  • Gil Alon and Elad Paran, Completely prime one-sided ideals in skew polynomial rings. Glasgow Mathematical Journal 64, Number 1 (January 2022), p. 114-121. Online access
  • Gil Alon, Yuval Ben-Haim and Inbal Tuvi-Arad, Continuous symmetry and chirality measures: approximate algorithms for large molecular structures, Journal of Cheminformatics, 5, 106 (2023). Online access

Preprints

  • Gil Alon, Automorphisms of Products of Drinfeld Half Planes. arXiv:1703:00059
  • Gil Alon, Gady Kozma and Doron Puder, On the Aldous-Caputo Spectral Gap Conjecture for Hypergraphs. arXiv:2311.02505
  • Gil Alon, Angelot Behajaina and Elad Paran, On the stopping type of the Collatz map in F2[x]. arXiv:2401.03210
  • Gil Alon and Elad Paran, On the geometry of zero sets of central quaternionic polynomials. arXiv:2402.01378

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.
  • Basics of Mathematics, Course textbook [Hebrew], The Open University, 2020.

Other

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

 

 

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