Arnav Ghosh

Assistant Professor

Department of Mathematics

Dr. Arnav Ghosh

Introduction

Dr. Arnav Ghosh is an Assistant Professor in the Department of Mathematics and Computing at IIIT Raichur.
He joined the institute on 07 August 2025.
He received his Ph.D. in Mathematics from the Indian Institute of Technology Patna, where he worked on optimization on Hadamard manifolds under the supervision of Dr. B.B. Upadhyay.
Subsequently, he pursued postdoctoral research at China Medical University, Taiwan.
His research interests encompass nonlinear optimization, multiobjective optimization, and optimization problems in the framework of manifolds.

Research Interests

  • Nonlinear Optimization
  • Multiobjective Programming
  • Optimization on Manifolds
  • Semi-infinite Programming Problems


Contact

Mail
arnav[at]iiitr.ac.in

Telephone Number
-

Room No.
204

Profiles
Google Scholar
ResearchGate

Education

Ph.D. in Mathematics

Indian Institute of Technology Patna, India
Research Area: Optimization on Hadamard Manifolds
Supervisor: Dr. B.B. Upadhyay

M.Sc. in Mathematics

Indian Institute of Engineering Science and Technology, Shibpur (IIEST)

B.Sc. in Mathematics

Krishnath College, University of Kalyani

Experience

  • Assistant Professor, IIIT Raichur (Aug 2025 – Present)
  • Postdoctoral Researcher, China Medical University, Taiwan (Nov 2024 – Jun 2025)

Publications

  1. Upadhyay, B.B.; Ghosh, A.; Zhao, X. Constraint qualifications and optimality conditions for nonsmooth multiobjective semi-infinite programming problems with switching constraints. Optimization, 2024. DOI: 10.1080/02331934.2024.2437795
  2. Upadhyay, B.B.; Ghosh, A.; Treanţă, S. Constraint qualifications and optimality criteria for nonsmooth multiobjective programming problems on Hadamard manifolds. J. Optim. Theory Appl. 2023. DOI: 10.1007/s10957-023-02301-5
  3. Upadhyay, B.B.; Ghosh, A. On constraint qualifications for mathematical programming problems with vanishing constraints on Hadamard manifolds. J. Optim. Theory Appl. 2023. DOI: 10.1007/s10957-023-02207-2
  4. Upadhyay, B.B.; Ghosh, A.; Kanzi, N. Constraint qualifications and optimality conditions for nonsmooth multiobjective mathematical programming problems with vanishing constraints on Hadamard manifolds via convexificators. J. Math. Anal. Appl. 2024. DOI: 10.1016/j.jmaa.2024.128873
  5. Upadhyay, B.B.; Ghosh, A.; Treanţă, S. Optimality conditions and duality for nonsmooth multiobjective semi-infinite programming problems with vanishing constraints on Hadamard manifolds. J. Math. Anal. Appl. 2023. DOI: 10.1016/j.jmaa.2023.127785
  6. Upadhyay, B.B.; Ghosh, A.; Treanţă, S. Efficiency conditions and duality for multiobjective semi-infinite programming problems on Hadamard manifolds. J. Global Optim. 2024. DOI: 10.1007/s10898-024-01367-3
  7. Upadhyay, B.B.; Ghosh, A.; Kanzi, N.; Soroush, H. Constraint qualifications for nonsmooth multiobjective programming problems with switching constraints on Hadamard manifolds. Bull. Malays. Math. Sci. Soc. 2024.
  8. Upadhyay, B.B.; Ghosh, A. Optimality conditions and duality for multiobjective semi-infinite optimization problems with switching constraints on Hadamard manifolds. Positivity 2024, 28(4), 49.
  9. Upadhyay, B.B.; Ghosh, A.; Tiwari, S.K.; Stancu-Minasian, I.M. Optimality conditions and duality for nonsmooth multiobjective geodesic pseudolinear programming problems in terms of bifunctions on Hadamard manifolds. Opsearch. DOI: 10.1007/s12597-025-00913-1
  10. Upadhyay, B.B.; Ghosh, A.; Mishra, P.; Treanţă, S. Optimality conditions and duality for multiobjective semi-infinite programming problems on Hadamard manifolds using generalized geodesic convexity. RAIRO-Oper. Res. 2022, 56(4), 2037–2065.
  11. Upadhyay, B.B.; Ghosh, A.; Stancu-Minasian, I.M. Second-order optimality conditions and duality for multiobjective semi-infinite programming problems on Hadamard manifolds. Asia-Pac. J. Oper. Res. 2023. DOI: 10.1142/S0217595923500197
  12. Upadhyay, B.B.; Ghosh, A.; Treanţă, S. Optimality conditions and duality for nonsmooth multiobjective semi-infinite programming problems on Hadamard manifolds. Bull. Iran. Math. Soc. 2023, 49, 45.
  13. Ghosh, A.; Upadhyay, B.B.; Stancu-Minasian, I.M. Constraint qualifications for multiobjective programming problems on Hadamard manifolds. Aust. J. Math. Anal. Appl. 2023, 20(2), 1–17.
  14. Ghosh, A.; Upadhyay, B.B.; Stancu-Minasian, I.M. Pareto efficiency criteria and duality for multiobjective fractional programming problems with equilibrium constraints on Hadamard Manifolds. Mathematics 2023, 11, 3649.
  15. Upadhyay, B.B.; Ghosh, A.; Stancu-Minasian, I.M. Duality for multiobjective programming problems with equilibrium constraints on Hadamard manifolds under generalized geodesic convexity. WSEAS Trans. Math. 2023, 22(31), 259–270.
  16. Treanţă, S.; Upadhyay, B.B.; Ghosh, A.; Nonlaopon, K. Optimality conditions for multiobjective mathematical programming problems with equilibrium constraints on Hadamard manifolds. Mathematics 2022, 10, 3516.
  17. Upadhyay, B.B.; Ghosh, A.; Treanţă, S.; Yao, J.-C. Constraint qualifications and optimality conditions for multiobjective mathematical programming problems with vanishing constraints on Hadamard manifolds. Mathematics 2024, 12, 3047.
  18. Upadhyay, B.B.; Ghosh, A.; Mohapatra, R.N. Mond-Weir and Wolfe type duality for nonsmooth multiobjective fractional programming problems with equilibrium constraints on Hadamard manifolds. Commun. Optim. Theory. 2024, 2024(20), 1–26.
  19. Upadhyay, B.B.; Ghosh, A.; Zhao, X. On Pareto efficiency criteria for nonsmooth multiobjective mathematical programming problems with equilibrium constraints on Hadamard manifolds via convexificators. J. Nonlinear Conv. Anal. 2025, 26(3), 691–714.
  20. Upadhyay, B.B.; Ghosh, A. Duality for nonsmooth multiobjective semi-infinite programming problems with equilibrium constraints on Hadamard manifolds. Filomat 2025, 39(16), 5491–5510.