(Are you sure you can solve the Navier-Stokes existence and smoothness problem? One of the seven millennium prize problems with a $1 million bounty on its head? Although a math IA should be academically challenging, it must be understandable to both the student and the examiner (a.k.a your teacher, as this is an internal assessment). If your teacher gets the impression that you do not comprehend your own topic and that your topic is unmanageable, they may decline your topic. Hence, you must do your due diligence in researching your topic to succinctly communicate your specific aim to your teacher and secure their support. Thoroughly prepare a written proposal and oral elevator pitch that includes your aim, action plan, structure, and use of mathematics. Your teacher wants you to succeed, so they will accept your topic only if they are convinced of your ability to accomplish the proposed aim and deliver results. If you think that your teacher is being too conservative, even underestimating your ability to take on a challenging topic, you can still push through with your topic to convince him otherwise. However, being confrontational or insubordinate is not recommended;as your teacher is the ultimate decision maker who grades your IA (don’t bite the hand that feeds you!). More often that not, the safe choice is to consider simplifying your topic to tone down the complexity/ difficulty of your topic.