PhD Mathematics

Eligibility Criteria

18 year of education (MS/MPhil/equivalent degree) in Mathematics from an HEC recognized university with a minimum CGPA of 3.00/4.00 (semester system) or 60% marks (annual system).

GAT (Mathematics)/GRE (Mathematics) with minimum 60% marks, or University Based Test passed with minimum 70% marks.

Research Themes of Mathematics

Mathematics plays a very imperative role in the advancements of science and technology. Programs develop knowledge and skills in specialized technical areas and promote research interest and activities in the current dimensions. Fluid dynamics, computational techniques for solving differential equations, computer simulation and modeling, fuzzy algebra are widely used
The potential research themes / areas are as follows

  • Automorphic forms: arithmetic and analytic interfaces
  • Around Tao’s Algebraic Regularity Lemma
  • Distribution of Values of l-functions and Modular Forms
  • Combinatorics of the Discrete Hypercube
  • Isoperimetric inequalities, Erdos-Ko-Rado type problems
  • Optimal Impartial Selection
  • Approximation Algorithms for Combinatorial Optimization
  • Unique Continuation for Geometric Wave Equations
  • Non-linear perturbations of cosmological models and black hole spacetimes
  • Singularities of Mean Curvature Flow
  • Finite noncommutative Riemannian geometries
  • Symmetries and energy in gravity
  • The two-body problem in numerical and perturbative general relativity
  • Stable Topological Structures in Data
  • Algebra, Combinatorics, and Geometry
  • Analysis and Partial Differential Equations
  • Applied Analysis
  • Mathematical Biology
  • Mathematical Finance
  • Numerical Analysis and Scientific Computing
  • Topology and Differential Geometry