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**June 27th, 2023**The Department of Mathematics is recognized as a Research Centre to offer Ph.D. degree under VTU w.e.f. 22.04.2008. The Department has five eminent Professors, guiding researchers towards Ph.D. in Fluid Mechanics and Graph Theory.

**List of Research Guides**

Sl.
| Name of the Faculty | Qualification | Designation | Area of Interest |

1 | Dr. L. Venkata Reddy | M.Sc., M.Phil., Ph.D | Professor & HOD | Applied Mathematics, Fluid Mechanics |

2 | Dr. N. P. Chandrashekara | M.Sc., M.Phil., Ph.D | Professor | Applied Mathematics, Fluid Mechanics |

3 | Dr. Leena N. Shenoy | M.Sc., Ph.D PGDCA | Associate Professor | Applied Mathematics, Graph Theory |

4 | Dr. A. Pranesha Setty | M.Sc., Ph.D | Associate Professor | Applied Mathematics, Fluid Mechanics |

5 | Dr. Roopa G | M.Sc., Ph.D | Assistant Professor | Applied Mathematics, Fluid Mechanics |

6 | Dr. Yogalakshmi S | M.Sc., Ph.D | Assistant Professor | Applied Mathematics, Graph Theory |

**List of Ph.Ds Awarded**

Sl.
| Name of Research Scholar | Name of the Guide | Title of the Research Work | Month & Year of Award |

1 | S Vagdevi | Dr. S. Manjunath | Development of ANN methods for Providing security to Commercial Software to Avoid Piracy | January 2011 |

2 | L Venkata Reddy | Dr. S. Manjunath | The Fluid Mechanics of the Cooling of Streching Films | May 2014 |

3 | N P Chandrashekara | Dr. S. Manjunath | Convection of a Boussinesq-Stokes Suspensions and Micropolar Liquids in an Enclosure | September 2014 |

4 | T. V. Joseph | Dr. S. Manjunath | Linear and Non – linear Electro Convection in a Micropolar Fluids | December 2014 |

5 | B S Anil Kumar | Dr. S. Manjunath | Computational Investigation of Flow Separation in an Incompressible Aerodynamics | April 2017 |

6 | Sreelakshmi D | Dr. S. Manjunath | Computer assisted Solution to the Flow Problem Involving Coolant Surrounded Stretching Water-Films | May 2018 |

7 | Sushma T. S. | Dr. S. Manjunath | Study of Thermal Convection in Newtonian Ferromagnetic Nanoliquids using Differential Geometry Methods | July 2022 |

8 | Sowmya. K | Dr. Leena N. Shenoy | Study on Hamiltonicity of Regular Graphs | September 2022 |

**List of Research Scholar**

Sl.
| Name of Research Scholar | Name of the Guide | Title of the Research | Research Area |

1 | Chandrakanth V. | Dr. S. Manjunath | A Mathematical Study on Two-Dimensional Dispersion of Passive/Reactive Solute in Channel Flows of a Viscoelastic Fluid | Applied Mathematics (Fluid Mechanics) |

2 | Komala. C. S | Dr. S. Manjunath | Convection in Viscoelastic Liquids Occupying a Tilted Slot | Applied Mathematics (Fluid Mechanics) |

3 | Srihari M Subodha | Dr. S. Manjunath | Three-Dimensional Dispersion in Flows through and Past Porous Media | Applied Mathematics (Fluid Mechanics) |

4 | Devikarani G.Shetty | Dr. S. Manjunath | Rayleigh-Benard Convection in Newtonian Nanoliquids Occupying Anisotropic Porous Enclosures. | Applied Mathematics (Fluid Mechanics) |

5 | Naveen Bala A | Dr. L Venkata Reddy | Study of Two-Dimensional Flows of Nanoliquids Due to Stretching Sheets and Cylinders | Applied Mathematics (Fluid Mechanics) |

6 | Raghu N. | Dr. N P Chandrashekara | Convection in Dielectric Nanoliquids | Applied Mathematics (Fluid Mechanics) |

7 | Rajashree. S | Dr. N P Chandrashekara | Convection in Ferromagnetic Nanoliquids | Applied Mathematics (Fluid Mechanics) |

8 | Padmaja. C | Dr. Leena N. Shenoy | Hamiltonian Laceablity Properties of Decomposition of Connected Graphs | Graph Theory |

9 | Rohini Sathish | Dr. Leena N. Shenoy | Hamiltonicity, Hamiltonian Connectivity and Other Properties of Some Special Classes of Graphs | Graph Theory |

10 | Manjula M | Dr. Leena N. Shenoy | Study on Laceability of Various Graph Structures through Partitioning | Graph Theory |

11 | Satisha M | Dr. A Pranesha Setty | A Study of Convection of Binary Liquids in Porous Media | Applied Mathematics (Fluid Mechanics) |