PUBLICATIONS
In Preparation
23. The fundamental theorem of algebra; minimal algebra and analysis
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22. On matchings in quasigroups, (with P. Taylor)
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21. On analog of the van der Waerden conjecture on hafnians, (with S. Friedland)
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20. A graph-theoretical interpretation of a covering result in metric spaces, (with B. Esmayli)
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Preprint/Submitted
19. The weak acyclic matching property in abelian groups, (with P. Taylor) Submitted (2024)
18. Classifying abelian groups through acyclic matchings, (with P. Taylor), Submitted (2024)
17. Matchings in matroids over abelian groups II, (with S. Zerbib), Preprint (2024)
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16. Erratum to: matching subspaces in field extension (with S. Akbari), Preprint (2014)
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Published
(* = undergraduate coauthor)
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15.​ Conditions for matchability in groups and field extensions II, To appear in Discussiones Mathematicae - General Algebra and Applications
14. Matchings in matroids over abelian groups, (with S. Zerbib), To appear in J. Algebraic. Combinatorics.
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13. Conditions for matchability in groups and field extensions, (with J. Kinseth*, C. Kunz*, H. Serdarevic*, C. Willis*).
Linear and Multilinear Algebra 71 (2023), no. 7, 1182–1197.
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12. Results and questions on matchings in abelian groups and vector subspaces in fields (with K. Filom), Journal of Algebra, 598 (2022) 85–104.
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11. On the complexity of finding tensor rank,(with S. Friedland), Communication on Applied Math and Computation. 3 (2021), no. 2, 281–289.
10. On matchable subsets in abelian groups and their linear analogues, (with M. V. Janardhanan),
Linear Algebra Appl. 582(2019), 138-155.
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9. A note on the fundamental theorem of algebra, Bull. Austral. Math. Soc. 97 (2018), no. 3, 382-385.
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8. On local matching property in groups and vector spaces (with M.V. Janardhanan), Australasian
Journal of Combinatorics. Vol 70(1) (2018), 75-85.
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7. Acyclicity for groups and vector spaces (with H. Jolany, M.A. Khajenejad, M.J. Moghadamzadeh,
H. Shahmohamad), SEABM. Vol. 41(6) (2017), 797-805.
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6. Cancelable numbers (with J. Manheim, E. Nategh, and H. Shahmohamad), J. Combin. Math. Combin. Comput.
102 (2017), 45-54.
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5. On matching in groups and vector spaces (with A. Jafari and M. Hadian), Journal of Algebra and
its Applications. Vol. 15, No. 1 (2016) 1650011.
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4. On maximal and minimal linear matching property (with M.R. Darafsheh), Algebra and Discrete
Mathematics. Vol. 15, Number 2 (2013), pp. 174-178.
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3. A note on multi Poly-Euler numbers and Bernoulli polynomials (with H. Jolany, R.B. Corcino
and M.R. Darafsheh), General Mathematics. Vol. 20, No. 2-3 (2012), 122-134.
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Books
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2. Probability and analysis on graphs (with S. Friedland), Book, 250 pages, To appear in De Gruyter, 2024.
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1. Linear algebra and matrices (with S. Friedland), Book, 300 pages, Society for Industrial and
Applied Mathematics (SIAM), Philadelphia, PA, 2018.
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Ph.D. Thesis
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0. Matching in groups and vector spaces, Ph.D. thesis, University of Illinois at Chicago, 2020.
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