# Joel Gibson - Research

I am currently a research affiliate at the Sydney Mathematical Research Institute. My interests are in algebraic and geometric aspects of representation theory.

## Publications

*A Demazure character formula for the product monomial crystal*, Algebraic Combinatorics, Volume 4 (2021) no. 2, pp. 301-327. DOI 10.5802/alco.156.*The Hecke Algebra and Kazhdanâ€“Lusztig Polynomials*(with Alexander Kerschl). Book chapter,*Introduction to Soergel Bimodules*, RSME Springer Series, Vol. 5, 2020. DOI 10.1007/978-3-030-48826-0.*Why Non-blocking Operations Should be Selfish*. In: Moses Y. (eds) Distributed Computing. DISC 2015. Lecture Notes in Computer Science, vol 9363. Springer, Berlin, Heidelberg. DOI 10.1007/978-3-662-48653-5_14, pdf link

## Mathematics software

I list most mathematics software I’ve published on my home page.

## Other writing

- In 2020 I completed my PhD thesis
*A Demazure character formula for the product monomial crystal*under the supervision of Dr Oded Yacobi. - In 2015 I completed my honours thesis
*Contention in concurrent data structures*under the supervision of Dr Vincent Gramoli.

## Conferences

You might have met me at the following conferences or workshops:

*New connections in representation theory*- Mooloolaba, Queensland, February 2020.*Flags, galleries, and reflection Groups*- The University of Sydney, August 2019.*Triangulated categories in geometry and representation theory*- The University of Sydney, June 2019.*Geometric and categorical representation theory*- MATRIX, December 2018.*AustMS 2018*- University of Adelaide, December 2018.*Categorification and higher representation theory*- Institut Mittag-Leffler, Stockholm, July 2018.*Symplectic duality (the Abelian case)*- WARTHOG (University of Oregon), August 2017.*Future directions in representation theory*- University of Sydney, December 2017.*Soergel bimodules*- MSRI summer school, July 2017.*W-algebras*- University of Melbourne, December 2016.