The Open University of Israel
Dr. Gil Alon
Dept. of Mathematics and Computer Science
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§ 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
Education
2004
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Ph.D.,
Mathematics, The Hebrew University, Jerusalem, Israel
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1999
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M.Sc, Mathematics, The
Hebrew University, Jerusalem, Israel
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1994
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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
Academic Appointments
Since
2017
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Senior
Lecturer, The Open University of Israel
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2008-2017
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Lecturer,
The Open University of Israel
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2007-2008
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Post-Doctoral
Fellow, The Weizmann Institute of Science, Rehovot, Israel
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2004-2006
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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.
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).