PUBLICATIONS
Preprint/Submitted
(* = undergraduate coauthor)
39. A 2/3 bound for Vizing's conjecture, (with E. Krop), Submitted
38. Matchings and product growth in modular abelian independence groups, (with J. Losonczy), Submitted
37. 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.
This was a joint work with Google DeepMind team.
A related link.
36. Odd-cycle defects in the Alon-Friedland bound , (with E. Krop), Submitted
35. On partially matchable subspaces in a field extension, (with J. Losonczy), Submitted
34. A counterexample to a basis conjecture of Brualdi, Friedland and Pothen, Submitted
33. Paving matroids that are not sparse paving, Submitted
Published/Accepted/in Revision
32. Normal ordering of $(V^rU)^n$ and $r$-sector increasing forests, (in revision), Enumerative Combin and Applications, (2026).
31. Quotient-Realizable Multisets in Finite Groups:Two-Valued Criteria and Enumeration, (in revision) Utilitas Mathematica, (2026).
30. Diagonal parity and loop toggling for symmetric matrices over $\mathbb{F}_2$, (in revision) Linear and Multilinear Algebra (2026).
29. Extremal Subspace Covers in Finite Vector Spaces, Discrete Mathematics, Algorithms and Applications, (2026).
28. Structure and decomposition of deltoids in abelian groups, (with J. Losonczy), J. Algebraic. Combinatorics. (2026).
27. Higher-power inverse functional identities and Frobenius collision obstructions, Journal of Algebra Combinatorics Discrete Structures and Applications, (2026).
26. Subspaces and Intervals in the Galois Correspondence, Mathematica, (2026).
25. A counterexample to the Chung-Graham-Spiro gap-set conjecture, International Journal of Number Theory, (2026).
24. The exponential rarity of vertical digit cancellations, J. Combin. Math. Combin. Comput, (2026).
23. A nonabelian twist on differences of bijections, Utilitas Mathematica, (2026).
22. Decomposition theorems for unmatchable pairs in groups and field extensions, (with J. Losonczy) Annals of Combinatorics (2025).
21. Characterization of matchable sets and subspaces via Dyson transforms, (with J. Losonczy), Journal of Algebra, (2025).
20. Matchings in matroids over abelian groups III, (with E. Krop), INTEGERS: The Electronic Journal of Combinatorial Number Theory, (2025).
19. Matchings in matroids over abelian groups II, (with R. Y. Wu*, S. Yermolenko* ), Discrete Mathematics, Algorithms and Applications, (2024).
18. Classifying abelian groups through acyclic matchings, (with P. Taylor), Annals of Combinatorics, (2024).
17. Conditions for matchability in groups and field extensions II, Discussiones Mathematicae - General Algebra and Applications. (2024)
16. The weak acyclic matching property in abelian groups, (with P. Taylor), Sém. Lothar. Combin. 91 (2024).
15. Matchings in matroids over abelian groups, (with S. Zerbib), J. Algebraic. Combinatorics. (2023).
14. Conditions for matchability in groups and field extensions, (with J. Kinseth*, C. Kunz*, H. Serdarevic*, C. Willis*).
Linear and Multilinear Algebra 71 (2022).
13. Results and questions on matchings in abelian groups and vector subspaces in fields (with K. Filom), Journal of Algebra. (2021)
12. On the complexity of finding tensor rank,(with S. Friedland), Communication on Applied Math and Computation. 3 (2020).
11. On matchable subsets in abelian groups and their linear analogues, (with M. V. Janardhanan), Linear Algebra Appl. (2019).
10. A note on the fundamental theorem of algebra, Bull. Austral. Math. Soc. (2018).
9. On local matching property in groups and vector spaces (with M.V. Janardhanan), Australasian Journal of Combinatorics. (2018).
8. Acyclicity for groups and vector spaces (with H. Jolany, M.A. Khajenejad, M.J. Moghadamzadeh,
H. Shahmohamad), Asian Bulletin of Mathematics. (2017).
7. Cancelable numbers (with J. Manheim, E. Nategh, and H. Shahmohamad), J. Combin. Math. Combin. Comput. (2017).
6. On matching in groups and vector spaces (with A. Jafari and M. Hadian), Journal of Algebra and its Applications. (2016).
5. On maximal and minimal linear matching property (with M.R. Darafsheh), Algebra and Discrete Mathematics. (2013).
4. A note on multi Poly-Euler numbers and Bernoulli polynomials (with H. Jolany, R.B. Corcino
and M.R. Darafsheh), General Mathematics. (2012).
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.