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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Seminar/Workshop
Nov 09 2022
A Three Day Workshop on 'Numerical Linear Algebra, Modelling and Simulation of Evolution Equation (NLAMSEE-2022)'
Jul 29 2022
3rd Seminar Cum Workshop on Mathematics and Its Applications
May 26 2022
Mathematical Modeling for Epidemic Control and Prevention
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

Dr. Hari Nandan Nath (Optimization, 2021)
Supervisor: Prof. Tanka Nath Dhamala; Co-supervisor: Prof. Stephan Dempe ((TU bergakademie Freiberg, Germany)
Topic: Models and Algorithms for Evacuation Planning

 

Mr. Bhuwan Prasad Ojha (Functional Analysis, 2022)
Supervisor: Prof. Prakash Muni Bajracharya
Topic: Orthogonality in Normed Linear Spaces


Currently, 25 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:

 

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

2. 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

3. 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

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

Mr. Shiva Prakash Gupta (Optimization)

Supervisor: Prof.  Tanka Nath Dhamala; Co-supervisor: Dr. Urmila Pyakurel
Topic: 
Models and Algorithms for Flow Over Time Problems

7. 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

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

9. 
Mr. Ramesh Gautam 
Supervisor: Prof.  Kedar Nath Uprety; Co-supervisor: Dr. Naveen Vaidya (San Diego State University, USA)

10. Mr. Gyan Prasad Paudel

Supervisor: Prof.  Narayan Prasad Pahari 
Topic: A study of fuzzy logic and fuzzy sequence with their applications to the real world

11. Mr. Pitambar Tiwari
Supervisor: Prof.  Chet Raj Bhatta; Co-supervisor: Prof.  Pankaj Jain (South Asian University, India)

Topic: Quantum Calculus: New Development and Applications 

12. Mr. Jagat Krishna Pokhrel  

Supervisor: Prof. Narayan Prasad Pahari

13. Mr. Durga Prasad Khanal (Optimization)

Supervisor: Dr. Urmila Pyakurel; Co-supervisor: Prof.  Tanka Nath Dhamala, Co-supervisor: Prof. Stephan Dempe (TU bergakademie Freiberg, Germany) 
Topic: 
Multi-Commodity Dynamic Flow Problems with Intermediate Storage and Varying Transit Times
14. Mr. Badri Prasad Pangeni (Optimization)

Supervisor: Prof.  Tanka Nath Dhamala 
Topic: Continuous Dynamic Flow Problems with Intermediate Storage

15. Mr. Mohan Chandra Adhikari (Optimization)
Supervisor: 
Dr. Urmila Pyakurel;  Co-supervisor: Prof.  Tanka Nath Dhamala  
Topic: Discrete Time Dynamic Flow Problems with Intermediate Storage 

16. Mr. Bekha Ratna Dangol (Differential Equations)
Supervisor: Dr. Jeevan Kafle; Co-supervisor: Dr. Parameshwari Kattel
Topic: 
Interaction of Different Geophysical Mass Flows with Fluid Reservoirs: Dynamics of Submarine Mass and Fluid Waves

17. Mr. Chetnath Tiwari (Differential Equations)

Supervisor: Dr. Parameshwari Kattel; Co-supervisor: Dr. Jeevan Kafle
Topic: Modeling Multiphase Debris Flows and Floods Down a Meandering Channel: Dynamics and Obstacle-Interactions with Different Sinuosities and Curvatures


18. Mr.  Tek Bahadur Budhathoki 
Supervisor: Dr. Pushkar Raj Pokhrel; Co-supervisor:
Topic: 
Coupling of Two Dimensional and Depth-averaged models for Mixture Mass Flows


19.  Mr. 
Chudamani Pokharel (Analysis)
Supervisor: Prof. Chet raj Bhatta; Co-supervisor: Dr. Debendra Banjade (Coastal Carolina University, USA)

Topic: Wolff Ideal Theorem On Besop types Spaces and Their Multiplier in Algebra 

20.  Mr. Bishwa Adhikari (optimization)
Supervisor: 
Prof.  Tanka Nath Dhamala; Co-supervisor: Dr. Urmila Pyakurel 
Topic:Multicriteria Optimization Models and Methods with its Applications 

21. Mr. Dipakbabu Amgain (Optimization)
Supervisor: 
Prof.  Tanka Nath Dhamala; Co-supervisor: Dr. Urmila Pyakurel 
Topic: Location Routing-Scheduling Problems in Logistics Network

22. Mr. Sachin Wagle (Optimization)
Supervisor: 
Dr. Urmila Pyakurel; Co-supervisor:  Prof.  Tanka Nath Dhamala
Topic: Facility Location Models and methods for Transportation Optimization 

23.  Mr. Pushpa Nidhi Gautam (Differential Equations)
Supervisor: Dr. Jeevan Jafle; Co-supervisors: Dr. Ganga Ram Phaijoo, Dr.  Parameshwari Kattel.
Topic: 
Modeling Two-Phase Blood Flow Dynamics Through Artery along with Stenosis

24. Mr. Jaydev Nath (Analysis)
Supervisor: Prof. Chet Raj  Bhatta; Co-supervisor: Dr. Ishwari Jang Kunwar (Fort Valley State University, Georgia, USA)
Topic: Compactness of Multilinear Dyadic Operators in the Weighted setting

25. Mr. Bal Bahadur Tamang (Complex Analysis)
Supervisor: Dr. Ajay Singh
Topic: Unsolvability of  quadrate Diophantine equation