PUBLICATIONS
In Preparation
(* = undergraduate coauthor)
28. Matchings in Abelian Groups and Field Extensions: Recent Results via Structural Decomposition Theorems, (with J. Losonczy)
27. On partially matchable subspaces in a field extension, (with J. Losonczy)
​​26. The fundamental theorem of algebra; minimal algebra and analysis.
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25. Additive theorems in abelian groups and their linear extensions.
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24. On analog of the van der Waerden conjecture on hafnians, (with S. Friedland)
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Preprint/Submitted
23. Structure and decomposition of deltoids in abelian groups, (with J. Losonczy), Submitted (2026)
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22. Decomposition theorems for unmatchable pairs in groups and field extensions, (with J. Losonczy), Submitted (2025)
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21. Matchings in matroids over abelian groups III, (with E. Krop) Submitted (2025)
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20. Erratum to: matching subspaces in field extension, (with S. Akbari), Preprint (2014)
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Published/Accepted/In Revision
19. Characterization of matchable sets and subspaces via Dyson transforms, (with J. Losonczy), In revision, Journal of Algebra.
18. Matchings in matroids over abelian groups II, (with R. Y. Wu*, S. Yermolenko* ), To appear in Discrete Mathematics, Algorithms and Applications.
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17. Classifying abelian groups through acyclic matchings, (with P. Taylor), Annals of Combinatorics. 29 (2025) 1019–1025.
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16.​ Conditions for matchability in groups and field extensions II, Discussiones Mathematicae - General Algebra and Applications. 45(1) (2025) 135-157
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15. The weak acyclic matching property in abelian groups, (with P. Taylor), To appear in Sém. Lothar. Combin. 91 (2024), Art. B91b, 6 pp.
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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