Message from HOD
Welcome to the Central Department of Mathematics, Tribhuvan University! Mathematics is very interesting, important and forms the foundation of physical sciences and technology. Its importance is growing in various areas such as business, finance, management, engineering, ICT, biology, medicine, and many social sciences. The department was started in the same year as the establishment of Tribhuvan University in 1959 AD (2016 BS) and runs under the Institute of Science and Technology. It off...
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PhD Program
 In PhD program, which is publication based, a student has to write a thesis and submit it within 5 years of registration, only after the completion of 2 years. The failure to submit the thesis within the specified time results into the cancellation of the registration. Currently, twenty PhD scholars are conducting their research in the fields of optimization, differential equations, mathematical and functional analysis and dynamical systems.

Until now, the following persons have successfully defended their PhD thesis form this department.

Dr. Hari Bhakta Shrestha 
Supervisor: Prof.  Rameshwor Prakash Manandhar 

Dr. Bhanu Chandra Bajracharya 
Supervisor: Prof.  Rameshwor Prakash Manandhar 

Dr. Santi Bajracharya
Supervisor: Prof.  Ram Man Shrestha

Dr. Gajendra Bd. Thapa
Supervisor: Prof.  Ram Man Shrestha; Co-supervisor: Prof. Stephan Ruscheweyh (Wurzburg University, Germany)

Dr. Chinta Mani Pokharel 
Supervisor: Prof.  Gajendra Bd. Thapa; Co-supervisor: Prof. Stephan Ruscheweyh (Wurzburg University, Germany)

Dr. Shree Ram Khadka (Optimization, 2012
Supervisor: Prof.  Tanka Nath Dhamala
Topic: 
Mixed-Model Just-in-Time Sequencing Problem  (January 27, 2012)

Dr. Gyan Bd. Thapa (Optimization, 2013) 
Supervisor: Prof.  Tanka Nath Dhamala; Co-supervisor: Prof.  Shankar Raj Pant
Topic: 
Characterizations of Just-in Time Sequencing Problems with Apportionment and Supply Chain (December 28, 2013)

Dr. Urmila Pyakurel (Optimization, 
2016)
Supervisor: Prof.  Tanka Nath Dhamala
Topic: 
Evacuation Planning Problem with Contraflow Approach (March 4, 2016)

Dr. Jivandhar Jnawali (Numerical Analysis, 2018
Supervisor: Prof.  Chet Raj Bhatta; Co-supervisor: Prof. Pankaj Jain (South Asian University, India)
Topic: Newton Type Iterative Methods for Solving Nonlinear Equations 

Dr. Buddhi Prasad Sapkota (Partial Differential Equations, 2019
Supervisor:  Prof.  Kedar Nath Uprety; Co-supervisor: Prof.  Harihar Khanal (Embry-Riddle Aeronautical University, USA)

Dr. Gajaram  Damai (Analysis, 2020) 
Supervisor:   Prof.  Prakash Muni Bajracharya

Dr. Bishnu Hari Subedi (Complex Dynamics, 2021) 
Supevisor: Dr. Ajaya Singh; Co-supervisor: Prof.  Prakash Muni Bajracharya
Topic: Structure and Properties of Fatou, Julia, Escaping and Fast Escaping Sets of Holomorphic Semigroups

Dr. Iswar Mani Adhikary (Optimization, 2021)
Supervisor: Prof.  Tanka Nath Dhamala
Topic: Evacuation Optimization with Minimum Clearance Time

Dr. Ram Chandra Dhungana (Optimization, 2021)
Supervisor: Prof.  Tanka Nath Dhamala
Topic: Efficient Dynamic Flow Algorithms for Evacuation Planning

Dr. Phanindra prasad Bhandari (Optimization, 2021)
Supervisor: Dr. Shree Ram Khadka, Co-supervisor: Prof.  Stefan Ruzika
Topic:Maximum Dynamic Contraflow Evacuation Planning Problem

Currently, 19 PhD scholars are conducting their research in the fields of optimization, differential equations, mathematical and functional analysis and dynamical systems. The list is as follows:



Mr. Hari Nandan Nath (Optimization submitted
Supervisor: Prof.  Tanka Nath Dhamala; Co-supervisor: Prof.  Stephan Dempe (TU Bergakademie Freiberg, Germany)
Topic: Optimization Models and Algorithms for Evacuation Planning

Mr. Ramesh Chandra Timsina  (Partial Differential Equations)  
Supervisor:  Prof.   Kedar Nath Uprety; Co-supervisor Prof.  Harihar Khanal (Embry-Riddle Aeronautical University, USA)

Ms. Kabita Luitel (Differential Equations)
Supervisor:  Prof.   Kedar Nath Uprety; Co-supervisors: Prof.  Dil Bahadur Gurung (Kathmandu University), Prof. Harihar Khanal (Embry-Riddle Aeronautical University, USA)
Topic: 
  Mathematical Model for Heat Transfer in Human Body

Mr. Pawan Shrestha (Partial Differential Equations)
Supervisor   Dr. Durga Jang KC; Co-supervisor: Dr. Ramjee Sharma (University of North Georgia, USA)
Topic: Regularity of 2D Surface Quasi Geostrophic Equations

Mr. Jhavi Lal Ghimire 
Supervisor: Prof. Narayan Prasad Pahari 
Topic: A Study of Topological Structures of Linear Spaces of Generalized Sequences

 

Mr. Bhuwan Prasad Ojha (Functional Analysis)
Supervisor: Prof. Prakash Muni Bajracharya
Topic: Orthogonality in Normed Linear Spaces
 
Mr. Shiva Prakash Gupta (Optimization)
Supervisor: Prof.  Tanka Nath Dhamala; Co-supervisor: Dr. Urmila Pyakurel
Topic: Models and Algorithms for Flow Over Time Problems

Mrs. Anjana Pokahrel 
Supervisor: Prof.  Kedar Nath Uprety; Co-supervisor: Dr. Naveen Vaidya (San Diego State University, USA)
Topic: Dynamics of Transmission and Control of Measles

Mr. Khagendra Adhikari
Supervisor: Prof.  Kedar Nath Uprety; Co-supervisor: Dr. Naveen Vaidya (San Diego State University, USA)

Mr. Ramesh Gautam 
Supervisor: Prof.  Kedar Nath Uprety; Co-supervisor: Dr. Naveen Vaidya (San Diego State University, USA)

Mr. Gyan Prasad Paudel
Supervisor: Prof.  Narayan Prasad Pahari 

Mr. Pitambar Tiwari
Supervisor: Prof.  Chet Raj Bhatta; Co-supervisor: Prof.  Pankaj Jain (South Asian University, India)
Topic: Quantum Calculus: New Development and Applications 

Mr. Jagat Krishna Pokhrel  
Supervisor: Prof. Narayan Prasad Pahari

Mr. Durga Prasad Khanal (Optimization)
Supervisor: Dr. Urmila Pyakurel; Co-supervisor: Prof.  Tanka Nath Dhamala
Topic: Continuous Dynamic Flow with Flow Dependent Transit Times

Mr. Badri Prasad Pangeni (Optimization)
Supervisor: Prof.  Tanka Nath Dhamala 
Topic: Continuous Dynamic Flow Problems with Intermediate Storage