PUBLICATIONS
In Preparation
(* = undergraduate coauthor)
26. A dataset highlighting challenges in automated theorem proving, (with F. Domagni)
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25. Conditions for matchability in groups and field extensions III.
24. The fundamental theorem of algebra; minimal algebra and analysis.
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23. Additive theorems in abelian groups and their linear extensions.
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22. On analog of the van der Waerden conjecture on hafnians, (with S. Friedland)
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21. A graph-theoretical interpretation of a covering result in metric spaces, (with B. Esmayli)
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Preprint/Submitted
20. The weak acyclic matching property in abelian groups, (with P. Taylor), Submitted (2024)
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19. Matchings in matroids over abelian groups III, Preprint (2025)
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18. Erratum to: matching subspaces in field extension (with S. Akbari), Preprint (2014)
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Published/Accepted/ in Revision
17. Matchings in matroids over abelian groups II, (with R. Y. Wu*, S. Yermolenko* ), In revision, Discrete Mathematics, Algorithms and Applications.
16. Classifying abelian groups through acyclic matchings, (with P. Taylor), To appear in Annals of Combinatorics.
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15.​ Conditions for matchability in groups and field extensions II, Discussiones Mathematicae - General Algebra and Applications. 45(1) (2025) 135-157
14. Matchings in matroids over abelian groups, (with S. Zerbib), J. Algebraic. Combinatorics. (2024) 59:761–785.
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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), Asian Bulletin of Mathematics. 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, De Gruyter, Berlin, Germany, 2025.
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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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