As you want to appear in IIT JAM Exam and for fill center in form asking exam center list , so here I have provided for you:

Zone
Cities
IISc Bangalore

Bengaluru,Hubli, Kollam, Kottayam, Kozhikode, Mangalore, Palakkad, Thrissur

IIT Bombay

Ahmedabad, Goa, Hyderabad, Mumbai, Nagpur, Nanded, Nasik, Pune, Vadodara

IIT Delhi

Delhi-NCR, Faridabad, Ghaziabad, Gurgaon, Hisar, Indore, Jaipur, Jammu, Jodhpur, New Delhi

IIT Guwahati

Asansol-Durgapur, Dhanbad, Guwahati, Jorhat, Kalyani, Patna, Siliguri

IIT Kanpur

Agra, Allahabad, Bareilly, Bhopal, Kanpur, Lucknow, Varanasi

IIT Kharagpur

Bhubaneswar, Kharagpur, Kolkata, Raipur, Ranchi, Vijayawada, Visakhapatnam

IIT Madras

Chennai, Coimbatore, Ernakulam, Madurai, Thiruvananthapuram, Tiruchirapalli,Tirunelveli ,Warangal

IIT Roorkee

Dehradun, Jalandhar-Phagwara, Kurukshetra, NOIDA, Mohali-Rupnagar-Fatehgarh Sahib, Moradabad, Roorkee-Muzaffarnagar