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Congratulations to Trill White and Hoa My Huy Lim for their success in joining the AMSI Summer Research Scholarship Program.
Trill will work under the supervision of Dr Kelvin Li on her project “Optimisation in BKZ: An analysis of dynamic block size” and Hoa will work under the supervision of Dr Sergey Polyakovskiy on her project “Just-in-Time Batch Scheduling Subject to Batch Size and Packing Constraints”.
Julien Ugon was kindly invited by Mehdi Tavakol at the University of Western Sydney to work on their joing project. While there, Julien gave a seminar on the teaching approach used in the school of IT at Deakin university, titled “Rekindling students’ engagement in mathematics through co-constructive practice”. The slides can be found here.
Iman Shekarriz visited the Technical University of Leoben from September 18th to 22nd. There, he met with Wilfried Imrich to discuss the theoretical advancement of soft happy colouring. Afterwards, they travelled together to at AGH university, Krakow, Poland to attend 10CCGT, a large gathering of graph theorists from all over the world. He presented a talk titled “Soft Happy Colouring”. Upon returning to Austria, Iman stayed at the Vienna University of Technology to visit Karl Svozil for some days. There, they discussed quantum chromatic contextuality.
Guillermo Pineda Villavicencio gave a seminar at TU Berlin on the 17th of September.
Title: Lower bound theorems on the face numbers of polytopes with few vertices
Abstract: We study lower bound theorems for the number of $k$-faces ($1\le k\le d-2$) of a $d$-dimensional polytope $P$ (or $d$-polytope) with up to $3d-1$ vertices. Earlier results include the following: Xue (2021) established the case of polytopes with at most $2d$ vertices; Xue (2022) and Pineda-Villavicencio and Yost (2022) independently settled the case of $2d+1$ vertices; and Pineda-Villavicencio, Tritama, and Yost (2024) extended this to $2d+2$ vertices.
