Research Interests

I primarily work in extremal combinatorics. More specifically, I am interested in the application of tools from linear algebra, discrete Fourier analysis and other areas of mathematics to solve extremal combinatorial questions. I particularly enjoy finite intersection problems and their connections to other areas of mathematics like association schemes. I also have an interest in algebraic combinatorics.

I have also previously done work in enumerative combinatorics and discrete mathematics.


  1. W. Linz, ''s-Catalan numbers and Littlewood-Richardson polynomials''.
  2. J. Balogh, W. Linz, ''Short proofs of three results about intersecting systems'', submitted (2021).
  3. C. Elphick, W. Linz, P. Wocjan, ''Generalising a conjecture due to Bollobas and Nikiforov'', submitted (2021).
  4. J. Balogh, Gy. O. H. Katona, W. Linz, Zs. Tuza, ''The domination number of the graph defined by two levels of the n-cube, II'' Eur. J. Combinatorics, 91 (2021), Paper No. 103201, 10 pp.
  5. J. Balogh, W. Linz, L. Mattos, ''Long rainbow arithmetic progressions'', Journal of Combinatorics, 12(2021), no.3, 547--550.
  6. W. Linz, E. Jones, ''r-Completeness of sequences of positive integers'', Integers, 16(2016), A59.
  7. C. Buhse, P. Johnson, W. Linz, M. Simpson,''Two Conjectures about Recency Rank Encoding'', International Journal of Mathematics and Computer Science, 10(2015), no. 2, 175--184.
  8. W. Linz, C. Yan, ''Derangements on a Ferrers board'', Discrete Mathematics, Algorithms and Applications, 7(2015), no. 3, 17 pp.