Hi, @EDINA-SZYLVIA FAZAKAS Welcome to Microsoft Q&A thanks for posting your question.
It's great to hear that you are interested in using Azure Cosmos DB for your thesis. As a student, you can use the free trial version of Azure Cosmos DB to create a .NET 8 web application.
However, the free trial version has some limitations, such as a limited number of replica sets.Regarding your question, unfortunately, the free trial version of Azure Cosmos DB does not allow you to access more replica sets. you can add regions but you need to be careful overall throughput doesn't exceed the threshold to remain free you can't add regions in the emulator because it runs on your local machine.
You can also explore more on Azure Cosmo free tier https://learn.microsoft.com/en-us/azure/cosmos-db/free-tier
As for your thesis topic, there are many interesting themes you could work on. Sharding with NoSQL API and request optimization are both great topics to explore. You can simulate a Cosmos DB NoSQL Unstructured Database and Query based on the data that is chosen Tutorial: Query data - Azure Cosmos DB for NoSQL | Microsoft Learn
Regards
Geetha