Ph.D Mathematics at IISc Bangalore Offline Course

Doctor of Philosophy (Ph.D.) in Mathematics is an offered Full-time three/six-year Doctoral program and it is offered by the Indian Institute of Science, Bangalore. Ph.D. programme shall be for a minimum duration of three years, including course work and a maximum of six years. Extension beyond the above limits will be governed by the relevant clauses as stipulated in the Statute/Ordinance of the individual Institution concerned.

Areas of Research: Numerical Analysis; Partial Differential Equations; Controllability; Nonlinear Dynamics and Chaos; Probability Theory; Random Matrix Theory and Random Analytic Functions; Applied Probability and Stochastic Processes; Stochastic Control; Stochastic Dynamic Games; Stochastic Geometry; Interacting Particle Systems; Time Series Analysis with Applications to Neuroscience; Mathematical Finance; Functional Analysis; Harmonic Analysis; Several Complex Variables; Operator Theory; Algebraic Topology; Geometric Topology; Combinatorial Topology; Commutative Algebra; Algebraic Geometry; Differential Geometry; Representation Theory; Non-commutative Geometry; Combinatorics; Mathematical Physics; Experimental Mathematics; Modular Forms; Analytic Number Theory.