I am interested in both disciplinary and educational research.
My disciplinary interests include mathematics physics and combinatorics. In particular, my Ph.D. thesis looked at the phase transition behaviour of long chain polymer models in presence of interactive walls. These models arise naturally in enumerative combinatorics. I have used analytical and numerical tools in enumerative combinatorics to study problems in geometric group theory.
More details regarding my educational interests can be found on my teaching page.
T. Wong, A. L. Owczarek, and A. Rechnitzer. Confining multiple polymers between sticky walls: a directed walk model of two polymers. Journal of Physics A: Mathematical and Theoretical. 47: 415002 (2014).
M. Elder, A. Rechnitzer, E.J. Janse van Rensburg, and T. Wong. The cogrowth series for BS(N,N) is D-finite. International Journal of Algebra and Computation. 24: 171-187 (2014).
S. Cleary, A. Rechnitzer, and T. Wong. Common edges in rooted trees and polygonal triangulations. Electronic Journal of Combinatorics. 20: P39 (2013).
M. Elder, A. Rechnitzer, and T. Wong. On the cogrowth of Thompson's group F. Groups, Complexity, and Cryptology. 4: 301-320 (2012).
A.L. Owczarek, A. Rechnitzer, and T. Wong. Exact solution of two friendly walks above a sticky wall with single and double interactions. Journal of Physics A: Mathematical and Theoretical. 45 425003 (2012)