Hariprasad Manjunath Hegde
Research Quest
My research focuses on linear algebra and discrete mathematics, especially in the context of algorithms for structured matrices and graph-based problems. I am interested in how ideas from spectral theory, combinatorics, and numerical methods can be applied to problems motivated by engineering and data science. During my Ph.D., I worked on eigenvalue algorithms for periodic and Toeplitz-type matrices. I have also explored topics such as spectral methods for community detection, matrix perturbation, and signal processing. I try to make use of underlying mathematical structure—algebraic, combinatorial, or spectral—when approaching computational problems, with the aim of gaining insight and improving practical methods.
Academic Bio
Hariprasad Manjunath is an Assistant Professor at the School of Mathematics and Natural Sciences, Chanakya University, Devanahalli. He earned his Ph.D. from the Department of Computational and Data Sciences at the Indian Institute of Science (IISc), Bengaluru, where his research focused on fast algorithms for computing eigenvalues of structured matrices, including periodic and Toeplitz-type systems. His doctoral work combined ideas from numerical linear algebra and matrix theory with applications to computational problems in engineering.
Following his Ph.D., he held a postdoctoral position at INRIA, Université Côte d’Azur, France, where he worked on spectral methods for community recovery in networks and problems related to spectral seriation in random geometric graphs. He has published in peer-reviewed journals such as Applied Mathematics and Computation and Special Matrices, and has presented at several international conferences.
In addition to academic research, he has briefly worked in industry, including contributing to the fine-tuning of large language models for domain-specific virtual assistants. He has also mentored student projects related to pattern detection in graphs, signal processing, and matrix computations. His teaching experience includes courses in linear algebra, discrete mathematics, and data science at both undergraduate and postgraduate levels.
Educational Qualification
Ph.D. in Computational and Data Science Indian Institute of Science (IISc), Bengaluru, India Aug. 2016 – Feb. 2022 Thesis: Fast algorithms for eigenvalues of periodic matrices Advisor: Prof. Murugesan Venkatapathi M.Tech in Computational and Data Science Indian Institute of Science (IISc), Bengaluru, India Aug. 2013 – May 2015 B.E. in Electronics and Communication Engineering PES Institute of Technology (PESIT), Bengaluru, India Aug. 2009 – Aug. 2013Publications
Journals
[1] M. Hariprasad, “Block diagonalization of (p,q)-tridiagonal matrices,” Special Matrices, accepted, Jul. 2025.
[2] M. Hariprasad and M. Venkatapathi, “Circulant decomposition of a matrix and the eigenvalues of Toeplitz type matrices,” Applied Mathematics and Computation, vol. 468, no. 128473, May 2024.
[3] C. Rajput and M. Hariprasad, “Metallic means and Pythagorean triples,” Notes on Number Theory and Discrete Mathematics, vol. 30, no. 1, pp. 184–194, 2024.
[4] M. Hariprasad and M. Venkatapathi, “Semi-analytical solutions for eigenvalue problems of chains and periodic graphs,” Applied Mathematics and Computation, vol. 411, no. 126512, Dec. 2021.
[5] M. Hariprasad, “Magic squares from simple squares,” The Mathematics Student, vol. 91, no. 1–2, 2022.
[6] M. Hariprasad, “Determinant of binary circulant matrices,” Special Matrices, vol. 7, no. 1, pp. 92–94, 2019.
[7] M. Hariprasad, “A GCD problem and a Hessenberg determinant,” Notes on Number Theory and Discrete Mathematics, vol. 24, no. 2, pp. 28–31, 2018.
Conference Papers
[8] M. Hariprasad, “Eigenvalues of MATLAB’s magic squares,” Proceedings of ADMA ICDM, Jun. 2025.
[9] E. M. Athanasakos, N. Kalouptsidis, and M. Hariprasad, “Secrecy capacity of wiretap channel: Analysis with local approximations,” Proceedings of EUSIPCO, 2024.
[10] R. Hegadi, B. Tripathi, S. Namratha, A. Parveez, A. Chaturvedi, M. Hariprasad, and P. Priyanga, “Anti-money laundering analytics on the bitcoin transactions,” International Conference on Information Security, Privacy and Digital Forensics, pp. 405–418, 2022.
[11] M. Hariprasad, “Spectra of magic squares and related BoHeMIans,” Minisymposium on Bohemian Matrices, SIAM Annual Meeting, 2021.
[12] M. Hariprasad, “Determinants of binary g-circulant matrices and k-commuting matrices with permutations,” International Conference on Linear Algebra and Applications, London, 2020.