'Currently' is like right now, today, at this moment in time. It tells nothing about the past. Examples: Currently the prices of gas are increasing. I am currently studying English. 'Recently' refers to a change that happened not long ago, maybe within a day, a week, a month, or a year, depending on the context. Examples: Recently the prices of gas have increased. I have recently started studying English.

Currently is present tense while recently is present perfect tense.

Currently, means now. It implies something taking place as we speak but could change. For example. I currently live in Kenya. This means that I live in Kenya now but could live in any other country in the future. Recently, means not long ago. I recently visited Kenya. This implies that I was in Kenya not long ago.

Currently - what's going on now. Recently - what's going on in the present, but could change.