This volume contains selected papers based on presentations given at the AMS Special Session on Inverse Problems: In Memory of Professor Zbigniew Oziewicz at the AMS Fall Western Sectional Meeting, held virtually on October 23-24, 2021, a year after the unfortunate passing of our friend and frequent participant of the sessions Professor Zbigniew Oziewicz. These sessions have been held approximately annually since 1999 and served as interdisciplinary meetings with special emphasis, due to personal interests of the ""core participants,"" on such topics as low-dimensional topology and knot theory (where the inverse problem is the description of a knotted structure in terms of its invariants), mathematical physics and other sciences (where the inverse problem is the reconstruction of a theory on the basis of experimental results), and selected issues in computer science (e.g., physics and mathematics aspects of quantum computing and game theory).
Articles; Alexander I. Bobenko, Nikolai Bobenko and Yuri B. Suris, Dimers and M-curves; Felix Rohrle and Dmitry Zakharov, A matroidal perspective on the tropical Prym variety; Yasuhiko Yamada, A Lax form for quantum $q$-$P_{\mathrm {VI}}$ equation; Andrei Grekov and Nikita Nekrasov, Elliptic Calogero-Moser system, crossed and folded instantons, and bilinear identities; G. Felder, A. Smirnov, V. Tarasov and A. Varchenko, Hypergeometric integrals, hook formulas and Whittaker vectors; Pavel Etingof and Alexander Varchenko, Periodic and quasi-motivic pencils of flat connections; Alexander Braverman and David Kazhdan, Hecke algebras for the 1st congruence subgroup and bundles on $\mathbb {P}^1$ I: the case of finite field; Ivan Cherednik, Discrete Poisson hardcore 1D model and applications; Eddy B. de Leon, Jorg Frauendiener and Christian Klein, Computational approach to the Schottky problem; Elliot Blackstone, Louise Gassot and Peter D. Miller, On Strong Zero-Dispersion Asymptotics for Benjamin-Ono Soliton Ensembles
