Hi, I am Manohar Choudhary
Doctoral researcher in Mathematics specializing in Convex Optimization, Geometric Optimization, Optimization Algorithms, and Convex Analysis. My work connects classical geometric problems such as Heron, Fagnano, Fermat-Torricelli, and Waist problems with modern optimization theory.
.png)
About Me
Mathematics researcher, teacher, and optimization enthusiast
Professional Summary
I am a doctoral researcher in Mathematics with specialization in Convex Optimization, Geometric Optimization, and Optimization Algorithms. My Ph.D. thesis titled “Some Geometrical Problems in Optimization” was submitted in April 2026. I am interested in academic teaching, research, algorithm design, and computational mathematics.
Education
- Ph.D. Mathematics — Dr. Harisingh Gour Vishwavidyalaya, Sagar
- M.Sc. Mathematics — Central University of South Bihar
- B.Sc. Mathematics Honours — Guru Ghasidas Vishwavidyalaya
Research Interests
Core areas of my mathematical research
Optimization
- Convex Optimization
- Convex Analysis
- Optimization Algorithms
- Convergence Analysis
Geometric Optimization
- Heron Problem
- Fagnano Problem
- Fermat-Torricelli Problem
- Waist Problem
Computational Mathematics
- MATLAB
- Python
- NumPy / SciPy
- GeoGebra / Matplotlib
Teaching & Research Experience
Academic experience in mathematics teaching and research
Assigned Class Teacher — UG & PG Mathematics
July 2022 – January 2025 | Dr. Harisingh Gour Vishwavidyalaya, Sagar
Delivered lectures in Differential Calculus, Integral Calculus, Linear Algebra, Real Analysis, Abstract Algebra, Differential Equations, and Complex Analysis.
Doctoral Research Scholar
January 2022 – April 2026 | Convex Analysis & Optimization Algorithms
Worked on geometric optimization problems, optimality conditions, projected subgradient algorithms, line search methods, and computational validation.
Selected Publications
Journal papers, preprints, and research outputs
Minimal Perimeter Triangle in Nonconvex Quadrangle: Generalized Fagnano Problem
KoG, Croatian Society for Geometry & Graphics, 2026.
The Generalized Heron Problem: A Computational Perspective Using Line Search and Conic Reformulation
Journal of the International Academy of Physical Sciences, 2026.
A Generalized Waist Problem: Optimality Condition and Algorithm
arXiv preprint, 2026. Under Review.
A Generalized Heron-Waist Problem: Optimality Conditions and Convergence Analysis
arXiv preprint, 2026. Under Review.
Awards & Achievements
Academic recognition and research awards
Major Awards
- Young Scientist Award — First Rank, Mathematical Sciences, MPCST Bhopal, 2026
- Best Oral Presentation Award, ICRTMPCS-2023
- First Rank — National Poster Competition, National Mathematics Day, 2024
- All India Rank 6 — M.Sc. Industrial Mathematics Entrance, SPPU Pune
Technical Skills
Contact
For academic collaboration, teaching, and research opportunities
Email: manoharfbg@gmail.com
Phone: +91 9304561611
Website: manoharchoudhary.in
LinkedIn: in/manoharmath
Research Areas: Convex Optimization, Geometric Optimization, Optimization Algorithms, Convex Analysis
Latest Posts
Research updates, notes, and academic articles