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Mathematics student Hongyin Zhao has received a 2024 Dean’s Award for Outstanding PhD Theses, in recognition of his thesis .

The Dean’s Award for Outstanding PhD Theses recognises high-quality PhD theses produced at UNSW. To receive this award, candidates must receive outstanding and/or excellent levels of achievement for all examination criteria, and in the opinion of both examiners be in the top 10% of PhD theses they have examined. Examiners are external to the University and are leaders in their fields.

Hongyin received excellent feedback from his thesis examiners, who commented that he "deals skilfully with the difficult subject and finds the right approach to solving interesting and important problems... The material considered in his thesis undoubtedly represents a significant contribution to knowledge and shows an original and constructive way of thinking", they said. "The results are very deep, so their proofs are extremely complicated. Respectively these proofs took a great amount of auxiliary results. Some of them are themselves very important and have new applications in Operator Theory and in different fields of mathematics."

Hongyin completed his PhD under the supervision of Fedor Sukochev and Dmitriy Zanin, both mathematicians in the UNSW School of Mathematics and Statistics. They commended Hongyin on his award.

“Hongyin’s research belongs to the part of operator theory initiated by John von Neumann and Hermann Weyl and concerns diagonalization of bounded self-adjoint operators", said Professor Sukochev.

"The famous von Neumann-Weyl theorem was extended by Voiculescu in the late 1970 to the setting of n-tuples of commuting bounded self-adjoint operators and is frequently referenced by these three names. Hongyin’s result add to those venerable and fundamental results by including new results and variants for certain n-tuples of self-adjoint unbounded operators.”

“Hongyin is remarkably versatile", Dr Zanin added. "He can work by himself or in a team, he can do analytic or algebraic work, he can design theories and also he can apply them.” 

A very big congratulations to Hongyin for this wonderful achievement.