|  Dr. Hafiz Muhammad Khalid Mahmood has been a permanent faculty member in the Department of Mathematics at
  the University of Punjab Lahore, Pakistan since 2001. He began his formal teaching career in 1999 and has worked with
  prestigious institutions such as Hajvery University and the University of Central Punjab. With nearly 26 years of teaching
  experience, he has established himself as an accomplished educator in his field.Dr. Khalid’s academic journey is marked by numerous prestigious achievements, including a silver medal and a national
  talent scholarship from the Lahore Board, a gold medal from Government College Sheikhupura, the President UGC scho-
  larship with a second national rank, and securing second position in his M.Phil. He began his career at the University of
  the Punjab as a lecturer and was awarded seven advanced increments based on his performance in interviews (4), academic
  accomplishments (2), and orientation (1).
 Throughout his career, Dr. Khalid has taught over 20 courses at the B.S., M.Sc., M.Phil., and Ph.D. levels, earning
  immense respect from his students. His research expertise spans Number Theory, Group Theory, Combinatorics, and
  Mathematical Modeling, incorporating Statistical Distributions and Fuzzy Logic. He earned his Ph.D. in Number Theory
  from the University of the Punjab, where his research focused on graph structures derived from number theory and their
  combinatorial properties. His doctoral studies were jointly supervised by the late Prof. Dr. Khalid Latif Mir and Prof. Dr.
  Farooq Ahmad.
 Dr. Khalid has published over 65 articles in renowned international journals, collaborating with leading foreign researchers
  and serving as a reviewer for various journals. He has supervised 7 Ph.D. scholars, 20 M.Phil. scholars, and 2 M.Sc.
  projects, and is currently mentoring one Ph.D. scholar and four M.Phil. scholars.
 Beyond academics, Dr. Khalid is passionate about sports and excels in cricket, badminton, and swimming. His ultimate
  aim is to promote peace and deliver quality education to uplift society and the nation. Dedicated to supporting his students
  in both teaching and research, he is always available to guide them whenever needed.
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