The paper of a researcher at the University of Aizu has been published in a journal edited by the American Mathematical Society (AMS).(Acceptance of this paper was notified in April 2021)

A paper of 129 pages by KIHARA Hiroshi Professor at the University of Aizu, has been published in Memoirs of the American Mathematical Society (※1), a publication of the American Mathematical Society (※2).

Details of the journal
Name of Journal：Memoirs of the American Mathematical Society
Publication year：2023;Volume 289,Number 1436
Link

Details of the paper
Title of paper：Smooth Homotopy of Infinite-Dimensional C^∞-Manifolds
Author：KIHARA Hiroshi (Mathematics and Physics Laboratory Group)
Link to publication

※ In this paper, I use the notion of a diffeological space along with Quillen's (Daniel Quillen,　American Fields Medallist) model categorical framework to develop a homotopy theory which enables us to deal with smooth maps, and then apply it to infinite-dimensional C^∞-manifolds.
(The ordinary homotopy theory deals with topological spaces and continuous maps. Thus, the principal part of this paper is devoted to the construction of a homotopy theory for the study of infinite-dimensional C^∞-manifolds and smooth maps.)

※1　Memoirs of the American Mathematical Society
　　(It is the world's foremost mathematical journal specializing in long papers.)
※2　American Mathematical Society(AMS）