You have to specify the domain so that the trend can be searched. However, you may follow some of the important papers below.
1. Bakhshinategh, B., Zaiane, O. R., ElAtia, S., & Ipperciel, D. (2018). Educational data mining applications and tasks: A survey of the last 10 years. Education and Information Technologies, 23(1), 537-553.
2. Bandaru, S., Ng, A. H., & Deb, K. (2017). Data mining methods for knowledge discovery in multi-objective optimization: Part A-Survey. Expert Systems with Applications, 70, 139-159.
You have to specify the domain so that the trend can be searched. However, you may follow some of the important papers below.
1. Bakhshinategh, B., Zaiane, O. R., ElAtia, S., & Ipperciel, D. (2018). Educational data mining applications and tasks: A survey of the last 10 years. Education and Information Technologies, 23(1), 537-553.
2. Bandaru, S., Ng, A. H., & Deb, K. (2017). Data mining methods for knowledge discovery in multi-objective optimization: Part A-Survey. Expert Systems with Applications, 70, 139-159.
I think the research area term "data mining and knowledge discovery" is becoming somewhat outdated, in my opinion, and data analysis/modeling is now so specialized that as other replies suggest you have to specify a domain (e.g. medical diagnosis) or an algorithm family (neural networks), or other sub-areas.
Hot topics are currently, for example, deep learning (neural networks, image recognition), the merging of artificial intelligence with "data mining" (such as in robotics and situation awareness), and online content processing (social networks, recommender systems).
Note that "data" for "mining" can includes any kind of content - numbers, text, images, ...
As a general research area, I think it would be positive to focus on mining data for socially useful objectives for humanity (e.g. medicine, health, education, industrial), rather than the typical commercial ones, the latter are so over-subscribed !
In my opinion, Graph Mining (Pattern Recognition, particularly graph patterns (exact and similar patterns because this area is used in extensive fields such as bioinformatics, intrusion detection, malware, and code analysis, etc)), Privacy Preserving including rule hiding, etc