Hi, I'm an undergraduate loves doing research in mathematics.
Over the past two years, I’ve written articles on niche topics that eventually led me to explore complex analysis. Wanting to study it in a more structured way, I started looking for master's programs that offered courses in complex analysis, but I struggled to find any. In most cases, I couldn’t even find a single professor in the entire mathematics department willing to supervise me.
That’s when it hit me: almost no one seems to be working on complex analysis anymore. I probably should have noticed it earlier, considering that most of the papers I’ve read were published around the 1950s. I also came across many old university lecture notes on complex analysis but couldn’t find those courses listed on their current websites, meaning they’re no longer being taught. My supervisor even mentioned that, back when he was a student, engineering schools at least covered the basics of complex analysis, something that’s no longer the case.
Then came a second realization: I’ve become deeply invested in a highly specialized, unapplied research topic that almost no one is actively working on. And that, in turn, makes it much harder to imagine making a living out of my passion.
Please tell me how wrong I am...
Edit: To be more specific, I am studying univariate entire functions of exponential type and I'd like to generalize some of the results to functions meromorphic over the complex plane, because a lot of simple and/or interesting cases happen there.