I am Alireza Ahmadi, a mathematics researcher interested in new theories and approaches in differential geometry and algebraic topology. My focus includes diffeologies and sheaves, along with their methods, applications, and connections with other fields.
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Research Keywords
Differential Geometry (Diffeology, Orbifolds, Riemannian Geometry)
Algebraic Topology (Sheaves, Stacks, Gerbes, Groupoids, Homology, Homotopy)
Preprints
Diffeological Čech cohomology
arXiv:2303.03251, in progress
Journal Papers
Submersions, immersions, and étale maps in diffeology
Indag. Math. 35 (3) (2024), 459-499.
(with Jean-Pierre Magnot) Set-Valued Var. Anal. 31 (4) (2023) 41.
Diffeological gyrogroups
(with Akbar Dehghan Nezhad and Shiva Fatehi Boroujeni), Int. J. Nonlinear Anal. Appl. 14(1) (2023), 877-885.
Hypergroups and polygroups in diffeology
(with Akbar Dehghan Nezhad and Bijan Davvaz), Comm. Algebra 48(6) (2020), 2683–2698.
Some aspects of cosheaves on diffeological spaces
(with Akbar Dehghan Nezhad), Categ. Gen. Algebr. Struct. Appl. 12(1) (2020), 123-147.
A novel approach to sheaves on diffeological spaces
(with Akbar Dehghan Nezhad), Topology Appl. 263 (2019), 141-153.
Conference Papers and Presentations, Proceedings, Chapters
In: Recent Advances in diffeologies and their Applications. (Proceedings of the AMS-EMS-SMF Joint International Meeting, Grenoble, France, 2022), Contemporary Mathematics, vol 794, American Mathematical Society, 2024.
In: 51st Annual Iranian Mathematics Conference. University of Kashan, Kashan, Iran, February 16-19, (2021).
(with Akbar Dehghan Nezhad), In: 49th Annual Iranian Mathematics Conference. Iran University of Science and Technology, Tehran, Iran, August 23-26, (2018).
Invited Talks
Global Diffeology Seminar, diffeology.net June 14th, 2023.
RHT Seminar, Shinshu Center for Mathematical Sciences (Japan), two webinars, June 6th & 9th, 2022.
Professional Services:
Peer Reviewer for Research Journals
Hacettepe Journal of Mathematics and Statistics, 2024
Journal of Homotopy and Related Structures, 2024
Heliyon, 2023/2024
Member of the Jury (PhD Thesis Committee) University of Santiago de Compostela, Spain, 2024.
Education
2014-2019 Ph.D. in Mathematics, Yazd University, Yazd, Iran
Title of Thesis: Theory of Diffeological Sheaves
2012-2014 M.Sc. in Mathematics, Yazd University, Yazd, Iran
Title of Thesis: Riemannian Geometry of Orbifolds
2008-2012 B.Sc. in Mathematics, Yazd University, Yazd, Iran
Achievements
Benefited from facilities for top university graduates, National Elite Foundation, Iran, 2019.
First-ranked student in Ph.D. program, Yazd University, 2019.
First-ranked student in M.Sc. program, Yazd University, 2014.
Admitted to M.Sc. program by the Council for Talents (without postgraduate exam), Yazd University, 2012.
Second-ranked student in B.Sc. program, Yazd University, 2012.
Lecturer (2015 - 2024)
Yazd University | Technical and Vocational University | Azad University
Calculus I & II
Ordinary Differential Equations
Basic Mathematics
Applied Mathematics
Applications of Mathematics in Management I & II
Teaching Assistant (2013 - 2015)
Yazd University
Differential Topology
Geometry of Manifolds
General Topology
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