In AMSI scholarship recipient

Davood Nejaty

University of Melbourne

Davood Nejaty  was born in Iran and fell in love with math in High school and went to study mathematics at the University of Tehran for my Bachelor. He was exactly advised by Professors Zare, Rokni, and Sabzro to pursue his studies in algebraic geometry with the flavour of theoretical physics. They suggested to learn the basics of geometry and topology besides algebra and analysis. They suggested Mirror Symmetry to him as a successful topic to do research. Then he focused on learning Deformation Quantization from Kontsevich’s works at Tarbiat Modares University in Masters. Now Davood Nejaty is studying the Mirror Symmetry of moduli spaces of Higgs bundles with two Langlands dual group structures with Professors Zhao,Yang and Rayan (University of Saskatchewan.) This area of math is multidiscipline including integrable systems, sheaf and scheme theory, symplectic geometry and Representation theory of algebraic groups. Therefore, the AMSI-MSRI winter school was a good opportunity to communicate with mathematicians with different perspectives and learn new relative ideas such as categorification of the stability conditions, root datum and Langlands dual algebraic groups, and KL polynomial role incomputing intersection cohomology of singular varieties.

Studying and its potential impacts for the broader community ?

My area of study is in concern about studying geometric objects such as manifolds and varieties in level of topology, smooth structure, and holomorphic structure and trying to classify them. To do that we need to study anomalies, mathematicians call singularity by use of invariant, equipping them extra structures some of them coming from physics. We alsotake a look at group actions on these objects by studying fixed point locus.

How did you get into mathematics and into the area of Representation Theory? Was there someone or something that inspired you to this field?

I got into mathematics from a rich and extremely competitive education in Iran. Then in higher education I got the role of studying the action of groups and algebras as a really good representation of them. Because they make geometric objects dynamic and sometimes we need to deform them to analyse them. My advisors were the first hero for me and then I was really influenced by Maxim Kontsevich.

You received a grant to attend AMSI Winter School 2022. How important was this in terms of your ability to attend, fully participate in the program and meet others studying in similar fields?

AMSI grant was crucial to afford the traveling to Brisbane. It was promising so I could attend all lectures and discuss with other students easy-minded.

Winter School is designed to give students a deeper understanding of their area of research and expose them to others working in different fields/industries. What was the most valuable part of the program for you? Was it the course content or the people you met? Do you have new ideas for your work/research or see it in a new light?

Evidently, I need to follow up the materials covered in school to have a deeper insight so meeting and discussing with other students and lecturers was really highlighted. I got new ideas to apply in my research as well.

AMSI-MSRI Winter School was held as a hybrid event with event hubs in Australia and America. What was the biggest positive from your point of view holding it in this format and/or the biggest challenge?

The biggest advantage of hybrid delivery was office hours where US based students contributed and I do learnt a lot from them.

What advice would you give to someone who is considering applying for Winter School in 2023? How would you describe the conference to them? Should they apply and why?

I strongly recommend them to participate in Winter school, because it will help them to immerse themselves in a broader community of Math students and professors.

Where do you want the mathematical sciences to take you? Where do you see yourself in five, ten years time?

I highly recommend AMSI winter schools since the lectures were well-organized and converging and the organizers were really friendly and supportive.

Any other feedback/comments you would like to provide on the AMSI Scholarship or AMSI-MSRI Winter School 2022?

I really like to get a secured academic job and investigate mathematical problems specially in my research interests. So I work hard to do a fantastic PhD and then get a postdoc position to enhance my research experience before going to academia.