قام = got up يقوم الطالب المجد في الصباح الباكر كل يوم (The diligent student gets up early everyday) قام ب = did sth. The verb قام alone doesn't mean "did" but it collocates with other words to convey the meaning "to do". so the structure is Wordقام ب. قام الولد بأداء فروضه المنزلية (The boy did his homework). Here the Word is أداء. It's the same if we say: أدى الولد فروضه المنزلية without needing to use قام. قامت الأم بإعداد كعكة عيد الميلاد (The mom made Christmas cake). Here, the Word is إعداد. It's the same saying: أعدَّت الأم كعكة عيد الميلاد. You can think of it as "to make a progress" vs. "to progress" in English, just to name an example. قام على = to be in charge of/ responsible for example: بعد وفاة والده قام سالم على العائلة رغم صغر سنِّه (After the death of his father, and despite his young age, Salem became responsible of the family) It's also commonly used is a political/administrative sense. For example: وفاة القائم بأعمال مشروع سد النهضة سيمغنيو بيكلي لا يخلو من الغموض (The death of Simegnew Bekele, the man in charge of Ethiopia Grand Renaissance Dam, wasn't all too unmysterious ) من كان القائم على مشروع منهاتن ؟ (Who was in charge of the Manhattan Project?) Especially in classical Arabic literature, you'll find this usage common.

قام it's past, يقوم present

قام على it could be mean the person Become an administrator or supervisor of doing something for example : قام الرئيس على تلبية احتياجات الأطفال قام ب means the person has done something For example: قام الرئيس بالاهتمام بالصغار