Analytic Combinatorics in Several Variables
I am a long-term organizer of the analytic combinatorics in several variables project and help maintain its website, acsvproject.com. Currently I am under contract to publish two textbooks on this topic,
An Invitation to Analytic Combinatorics: From One to Several Variables
Springer Texts & Monographs in Symbolic Computation
Expected in print late 2020 / early 2021
(An introductory treatment for graduate students, based off my PhD thesis)
The submitted manuscript is available on the book webpage
Analytic Combinatorics in Several Variables, 2nd Edition
R. Pemantle, M. C. Wilson and S. Melczer
Cambridge Studies in Advanced Mathematics
Expected late 2021
(A more advanced treatment using homology, multivariate residues, and similar constructions)
Note that these activities are currently delayed or cancelled due to the ongoing coronavirus pandemic.
AMS Math Research Community
In 2020 I'm co-organizing an MRC, Combinatorial Applications of Computational Geometry and Algebraic Topology, aimed at introducing young researchers (between -2 and +5 years post PhD) in computational algebra, combinatorics, analysis, or algebraic topology to new research directions in enumerative combinatorics. The main activity of this program is a one week (funded) workshop / summer school at the beginning of June. Details can be found here.
Summer 2020 Conferences
In addition to the MRC, this year I'll be at the Foundations of Computational Mathematics conference in June (speaking in the Graph Theory and Combinatorics workshop) and the SIAM-CAIMS Joint Annual Meeting in July (speaking in the Symbolic Computation and Special Functions workshop).
Yuliy Baryshnikov, Alin Bostan, Mireille Bousquet-Mélou, Sophie Burrill, Erin Compaan, Julien Courtiel, Éric Fusy, Kevin Hyun, Veronika Irvine, Manuel Kauers, Jessica Khera, Erik Lundberg, Marcus Michelen, Marni Mishna, Somabha Mukherjee, Greta Panova, Robin Pemantle, Kilian Raschel, Frank Ruskey, Bruno Salvy, Éric Schost, Catherine St-Pierre, Armin Straub, Mark Wilson