Department of Pure Mathematics and Mathematical Statistics (DPMMS)
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On the p<sup>′</sup>Subgraph of the Young Graph
(20180512)Let p be a prime number. In this article we study the restriction to Sn−1 of irreducible characters of degree coprime to p of Sn. In particular, we study the combinatorial properties of the subgraph Yp′ of the Young graph Y. 
Coupling the Gaussian Free Fields with Free and with Zero Boundary Conditions via Common Level Lines
(Springer Nature, 20180701)We point out a new simple way to couple the Gaussian free field (GFF) with free boundary conditions in a twodimensional domain with the GFF with zero boundary conditions in the same domain: Starting from the latter, one ... 
Embedded contact knot homology and a surgery formula
(20181020)Embedded contact homology is an invariant of closed oriented contact 3manifolds first defined by Hutchings, and is isomorphic to both Heegard Floer homology (by the work of Colin, Ghiggini and Honda) and SeibergWitten ...