Research Collaboration Invitation – Algebra & Number Theory

Hello everyone,

I am currently pursuing a completely new and original research project in algebra (group theory) and number theory, and I am seeking enthusiastic collaborators — including fellow researchers, graduate students, and even motivated undergraduates.

Key Features:

• The project is novel and does not require deep prerequisites.
• It connects to additive number theory and combinatorics.
• It includes several conjectures, open problems, and computational components.

Keywords:

Direct product of subsets, factors and subfactors, index and subindices of subsets, infinite difference length of subsets, additive bases, packing numbers, open problems

Selected References:

• https://doi.org/10.1142/S0219498820501017
• https://doi.org/10.1080/00927872.2021.1884254
• https://doi.org/10.1080/00927872.2023.2168685
• https://arxiv.org/abs/2310.03438
• https://arxiv.org/abs/2504.11503

Interested? Feel free to contact me:

Prof. Mohammad Hadi Hooshmand
Email: hadi.hooshmand@gmail.com
Email: mh.hooshmand@iau.ac.ir
WhatsApp/Phone: +98 936 624 4904

You're welcome to share this invitation with colleagues or academic groups.

Looking forward to fruitful collaboration!