School of Mathematics and Statistics, University of New South Wales
Where are you in your career?
I am a second year PhD student in Department of Pure Mathematics, School of Mathematics and Statistics, Faculty of Science, University of New South Wales, Australia.
Why do you want to attend the HLF?
The HLF is a great opportunity to meet scientists who are at the top of their research areas. It is essential for any young researcher to share their results with other scientists, to know their opinion about the results and to get possible directions from them. This is especially important when these scientists are the best experts in the area. For me, HLF is also a great chance to meet people who work in the same subject that I do for future collaborations. Of course, it is also great to meet people from different cultures with different or similar interests and make new friends.
Tell us about your research and favourite applications of your work.
For the last two years I am working in noncommutative analysis. In particular, I study the Theory of Schur multipliers on operator ideals and more generally the Double (and Multiple) Operator Integration Theory.
This subject is very powerful in many questions from perturbation and scattering theory, which is of great importance in solid-state physics. I also like to work in Operator Integration Theory because it may give solutions to the problems from different areas in mathematics. For example, the problem of Frechet differentiability of the norm of noncommutative [latexpage]$L_p$ spaces (which is an important result in the geometry of Banach spaces) has been solved using the Multiple Operator Integration Theory.
If you could meet any Fields Medalist or Abel Prize winner which would it be and why?
I would love to meet Cedric Villani, who understands well the applications of mathematics in physics. I am sure that he could help me find more applications for my work in physics. I would also be delighted to meet top class experts in harmonic analysis.