PUBLICATIONS
Preprint/Submitted
(* = undergraduate coauthor)
28. On partially matchable subspaces in a field extension, (with J. Losonczy), Submitted (2026)
27. Higher-power inverse functional identities and Frobenius collision obstructions, Submitted (2026)
26. A Counterexample to a basis conjecture of Brualdi, Friedland and Pothen, Submitted (2026)
25. A nonabelian twist on differences of bijections, Submitted (2026)
24. Diagonal parity and loop toggling for symmetric matrices over $\mathbb{F}_2$, Submitted (2026)
23. Paving matroids that are not sparse paving, Submitted (2026)
22. Structure and decomposition of deltoids in abelian groups, (with J. Losonczy), Submitted (2026)
21. Decomposition theorems for unmatchable pairs in groups and field extensions, (with J. Losonczy), Submitted (2025)
Published/Accepted
20. Characterization of matchable sets and subspaces via Dyson transforms, (with J. Losonczy), Journal of Algebra, 706 (2026), 221-242.
19. Matchings in matroids over abelian groups III, (with E. Krop), To appear in INTEGERS, (2026).
18. Matchings in matroids over abelian groups II, (with R. Y. Wu*, S. Yermolenko* ), To appear in Discrete Mathematics, Algorithms and Applications, (2026).
17. Classifying abelian groups through acyclic matchings, (with P. Taylor), Annals of Combinatorics. 29 (2025) 1019–1025.
16. Conditions for matchability in groups and field extensions II, Discussiones Mathematicae - General Algebra and Applications. 45(1) (2025) 135-157
15. The weak acyclic matching property in abelian groups, (with P. Taylor), 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.
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.
12. Results and questions on matchings in abelian groups and vector subspaces in fields (with K. Filom), Journal of Algebra, 598 (2022) 85–104.
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.
9. A note on the fundamental theorem of algebra, Bull. Austral. Math. Soc. 97 (2018), no. 3, 382-385.
8. On local matching property in groups and vector spaces (with M.V. Janardhanan), Australasian
Journal of Combinatorics. Vol 70(1) (2018), 75-85.
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.
6. Cancelable numbers (with J. Manheim, E. Nategh, and H. Shahmohamad), J. Combin. Math. Combin. Comput.
102 (2017), 45-54.
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.
4. On maximal and minimal linear matching property (with M.R. Darafsheh), Algebra and Discrete
Mathematics. Vol. 15, Number 2 (2013), pp. 174-178.
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.
Books
2. Probability and analysis on graphs (with S. Friedland), Book, 250 pages, De Gruyter, Berlin, Germany, 2025.
1. Linear algebra and matrices (with S. Friedland), Book, 300 pages, Society for Industrial and
Applied Mathematics (SIAM), Philadelphia, PA, 2018.
Ph.D. Thesis
0. Matching in groups and vector spaces, Ph.D. thesis, University of Illinois at Chicago, 2020.