AIM & ICERM: a long-lasting impact

The American Institute of Mathematics (AIM)

AIM Workshop “Arithmetic reflection groups and crystallographic packings”. This AIM workshop was organised by Misha Belolipetsky, Alex Kontorovich, and Alice Mark, and turned out to be one of the most productive workshop for me so far. It was extremely stimulating and inspiring ideas, and a few potential new research directions surfaced right away. Moreover, multiple new collaborations started, with a high probability of being fruitful. Moreover, this workshop brought up some open problems for everyone to explore, including graduate students (for whom choosing the right problem for their thesis is extremely important for their future career).

AIM Workshop “Discrete geometry and automorphic forms”. This AIM Workshop organised by Marina Viazovska and Henry Cohn was a starting point for multiple collaborations that resulted in a number of publications and pre-prints. Most of them in the area of discrete geometry and combinatorics (sphere packings, enumeration of spherical codes, etc). The influence of this workshops over my research spans 2018-2020 years, and onwards.

AIM SQuaREs Research Group. The AIM SQuaREs program, that provided funding for a research group composed of Ruth Kellerhals, John Ratcliffe, Steve Tschantz, Bruno Martelli, Vincent Emery, Matthieu Jacquemet and myself was an opportunity to meet and collaborate for three 1-week periods through the years 2015-2017 at the American Institute of Mathematics (AIM). A significant part of my research produced in 2015-2017 was originated there.

The Institute for Computational and Experimental Research in Mathematics (ICERM)

Having attended a few workshops and conferences at ICERM (here I would need to list more than a dozen different events, from focused groups to larger workshops, to semester programs) had a major impact on my research progress and, more generally, my choice of research directions. Mostly because of their influence, most projects that I embarked on employ a good deal of computational experiment: this approach is often used to formulate and test hypotheses, as well as to prove actual theorems by computer verification.