Lahore University of Management Sciences Lahore University of Management Sciences

PhD Mathematics


Mathematics is a very important area in academics today and is responsible for advancements in science and technology as well as progress in various other fields. The study of Mathematics does not just entail numbers and calculations but also provides a practical approach to problem solving and is the key to effective decision making. It also helps in building very important skills such as the ability to think logically, analyse complex situations and conduct research.

The PhD Mathematics programme at LUMS is structured to impart world class education in mathematics. All that is required on the part of the student is enthusiasm and genuine interest in the subject. High quality research and advanced courses are the strengths of this programme, supported by professional and dedicated faculty, state-of-the-art library facilities and funding opportunities. A doctoral degree in mathematics greatly adds on to the existing available options of careers in the government sector, local industry, research and education.

The University policy is to admit students purely on merit regardless of their ability to pay. The PhD Mathematics programme offers a full tuition fee waiver to all students who do not have funding from other sources. Other forms of financial assistance include a stipend of  PKR 20,000 (approximately) per month to outstanding and/or deserving students. Teaching assistantships may also be available to selected students.

Research Areas

  • Applied Mathematics
  • Functional Analysis and Operator Theory
  • Cryptography
  • Fixed Point Theory
  • General Relativity
  • Probability Theory and Stochastic Analysis
  • Applied Graph Theory
  • Fuzzy and Rough Set Theory
  • Variational Inequalities
  • Best Approximations
  • Differential Equations
  • Computational Mathematics
  • Directed Percolation Theory
  • Elasticity
  • Lie Algebras
  • Symmetry Groups of Differential Equations

* The medium of instruction at LUMS is English for all degree programmes offered. Assessments are accepted in English only.

Full Tuition Fee Waiver and a Monthly Stipend* awarded to all admitted students (for up to four years).
*Subject to adequate academic performance

Programme Details