PUBLICATIONS
Preprint/Submitted
(* = undergraduate coauthor)
32. Extremal Chowla sets and their linear analogues: A human-AI mathematical investigation using Co-Scientist, (with K. Driscoll, E. Krop, P. Sirkovic, E. Sullivan, E. Vedadi) Submitted (2026)
This was a joint work with Google DeepMind team.
A related link.
31. Odd-cycle defects in the Alon-Friedland bound , (with E. Krop), Submitted (2026)
30. On partially matchable subspaces in a field extension, (with J. Losonczy), Submitted (2026)
29. Higher-power inverse functional identities and Frobenius collision obstructions, Submitted (2026)
28. A counterexample to a basis conjecture of Brualdi, Friedland and Pothen, Submitted (2026)
27. Diagonal parity and loop toggling for symmetric matrices over $\mathbb{F}_2$, Submitted (2026)
26. Paving matroids that are not sparse paving, Submitted (2026)
25. Structure and decomposition of deltoids in abelian groups, (with J. Losonczy), Submitted (2026)
Published/Accepted
24. The exponential rarity of vertical digit cancellations, To appear in J. Combin. Math. Combin. Comput (2026).
23. Decomposition theorems for unmatchable pairs in groups and field extensions, (with J. Losonczy) To appear in Annals of Combinatorics (2026).
22. A nonabelian twist on differences of bijections, Utilitas Mathematica, 128 (2026) 375397.
21. Characterization of matchable sets and subspaces via Dyson transforms, (with J. Losonczy), Journal of Algebra, 706 (2026), 221-242.
20. Matchings in matroids over abelian groups III, (with E. Krop), To appear in INTEGERS: The Electronic Journal of Combinatorial Number Theory, (2026).
19. Matchings in matroids over abelian groups II, (with R. Y. Wu*, S. Yermolenko* ), To appear in Discrete Mathematics, Algorithms and Applications, (2026).
18. Classifying abelian groups through acyclic matchings, (with P. Taylor), Annals of Combinatorics. 29 (2025) 1019–1025.
17. Conditions for matchability in groups and field extensions II, Discussiones Mathematicae - General Algebra and Applications. 45(1) (2025) 135-157
16. The weak acyclic matching property in abelian groups, (with P. Taylor), Sém. Lothar. Combin. 91 (2024), Art. B91b, 6 pp.
15. Matchings in matroids over abelian groups, (with S. Zerbib), J. Algebraic. Combinatorics. (2024) 59:761–785.
14. 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.
13. Results and questions on matchings in abelian groups and vector subspaces in fields (with K. Filom), Journal of Algebra, 598 (2022) 85–104.
12. On the complexity of finding tensor rank,(with S. Friedland), Communication on Applied Math and Computation. 3 (2021), no. 2, 281–289.
11. On matchable subsets in abelian groups and their linear analogues, (with M. V. Janardhanan), Linear Algebra Appl. 582(2019), 138-155.
10. A note on the fundamental theorem of algebra, Bull. Austral. Math. Soc. 97 (2018), no. 3, 382-385.
9. On local matching property in groups and vector spaces (with M.V. Janardhanan), Australasian Journal of Combinatorics. Vol 70(1) (2018), 75-85.
8. 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.
7. Cancelable numbers (with J. Manheim, E. Nategh, and H. Shahmohamad), J. Combin. Math. Combin. Comput.
102 (2017), 45-54.
6. 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.
5. On maximal and minimal linear matching property (with M.R. Darafsheh), Algebra and Discrete Mathematics. Vol. 15, Number 2 (2013), pp. 174-178.
4. 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
3. Probability and analysis on graphs (with S. Friedland), Book, 250 pages, De Gruyter, Berlin, Germany, 2025.
2. Linear algebra and matrices (with S. Friedland), Book, 300 pages, Society for Industrial and
Applied Mathematics (SIAM), Philadelphia, PA, 2018.
Ph.D. Thesis
1. Matching in groups and vector spaces, Ph.D. thesis, University of Illinois at Chicago, 2020.