I want to say you are completely normal. Everyone has demons to conquer. Everyone has "different personalities" and think they're psychotic when you are stressed or depressed. You can't expect to fit yourself in a certain mold because everyones experiences are unique. Don't be afraid to blend these "different personalities" you have. Because these personalities are all you.

You feel these kind of superior thinking is because you want some kind of recognition. We all do, even though some may not act like they do. It feels good to be recognized and when we aren't, we find mechanisms to cope. One way is to feel like you are superior to everyone else. But it's a faux sense of confidence. It's simply a way of you coping with your emotions. You aren't crazy. You are normal.

About the player crap, I think you see it in the wrong sense. Concentrate on your own confidence. Your confidence is just a bit low right now. If you want to learn to be more appealing to people, take a communication class, an acting class, a public speaking class, just a few example of ways you could improve your confidence and learn to better connect to people. Besides, use your math solving skills to get a good degree and get a good job in the future. Math solving skills are highly useful and sought after.

Your own happiness is important, remember that. Just start to feel free yourself from the shambles. Start to do some stretching. That really helps you feel better about yourself. When you feel bad, you feel tight and to loosen your body will help stress on your mind. Yoga, pilates helps.

Whatever you do, do whatever it takes to make you happy. Don't let people affect you to do what you want to do.

Everyone needs some guidance in the right way. Don't be afraid to see a therapist. I'm seeing one for the issues I'm having, helping me change the way I think because that what it is, it's your mindset and certain behaviors about yourself you want to change and the right therapist will help you do that. There's no magical pill to fix your depression. In the end you have to fight and do it yourself.