# 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.

# Publications

- W. Linz, ''s-Catalan numbers and Littlewood-Richardson polynomials''.
- J. Balogh, W. Linz, ''Short proofs of three results about intersecting systems'', submitted (2021).
- C. Elphick, W. Linz, P. Wocjan, ''Generalising a conjecture due to Bollobas and Nikiforov'', submitted (2021).
- 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. - J. Balogh, W. Linz, L. Mattos, ''Long rainbow arithmetic progressions'',
*Journal of Combinatorics*,**12**(2021), no.3, 547--550. - W. Linz, E. Jones, ''r-Completeness of sequences of positive integers'',
*Integers*,**16**(2016), A59. - 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. - W. Linz, C. Yan, ''Derangements on a Ferrers board'',
*Discrete Mathematics, Algorithms and Applications*,**7**(2015), no. 3, 17 pp.