Analytic Combinatorics in Several Variables
I am a long-term organizer of the analytic combinatorics in several variables project and 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
S. Melczer. Springer Texts & Monographs in Symbolic Computation.
In press, expected late 2020
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 or 2022
The first book is an introductory treatment of this material, suitable for students and those new to the area, while the second is a more advanced treatment making extensive use of homology, multivariate residues, and similar constructions.
AMS Math Research Community (Summer 2021)
I’m co-organizing an MRC, Combinatorial Applications of Computational Geometry and Algebraic Topology to introduce young researchers in computational algebra, combinatorics, analysis, or algebraic topology to new research directions in enumerative combinatorics.
Mathematical Congress of the Americas (July 2021)
I’ll (virtually) be participating in the
Symbolic Computation: Theory, Algorithms and Applications session.
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, Marc Mezzarobba, 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