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Shambhu Nath Maurya
Assistant Professor
shambhu.nath[at]ma.iitr.ac.in
Mathematics Department Building, IIT Roorkee
+91-1332-285856
Research Interests

Biosketch
Educational Details
Professional Background

Research
Projects
Publications
Patents
Books
Collaborations

Honours and Awards
Honors
Memberships

Teaching Engagements
Teaching Engagements

Students
Supervisions
Associate Scholars

Miscellaneous
Events
Visits
Administrative Positions
Miscellaneous
Research Interests
Random Matrix Theory, Non-commutative probability theory, Free Probability
BioSketch
Educational Details
Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh, India
2017
M.Sc., Mathematics
Deen Dayal Upadhyay Gorakhpur University, Gorakhpur, Uttar Pradesh, India
2015
B.Sc., Mathematics, Physics
Indian Institute of Technology Bombay, Mumbai, Maharashtra, India
2022
PhD, Mathematics
Professional Background
Assistant Professor
14 May 2025 - Present
IIT Roorkee, Uttarakhand, India
NBHM Post Doctoral Fellow
01 Apr 2023 - 31 Mar 2025
ISI Kolkata, West Bengal, India
Post Doctoral Fellow
12 Sep 2022 - 11 Mar 2023
IISER Bhopal, Madhya Pradesh, India
Research Associate
11 May 2022 - 18 Aug 2022
IIT Bombay, Maharashtra, India
Research
Publications
A non-Gaussian limit for linear eigenvalue statistics of Hankel matrices
2025
Kiran Kumar A.S., Shambhu Nath Maurya and Koushik Saha | World Scientific
Journal: Random Matrices: Theory and Applications Pages: 28 ,
Convergence of high dimensional Toeplitz and related matrices with correlated inputs, (2024), Paper No. 21(2):1867-1901, 35 pp
2024
Kartick Adhikari, Arup Bose, and Shambhu Nath Maurya | Institute of Mathematical Statistics
Journal: ALEA, Lat. Am. J. Probab. Math. Stat Pages: 35 ,
Limiting spectral distribution of Toeplitz and Hankel matrices with dependent entries
2024
Shambhu Nath Maurya | Elsevier
Journal: Statistics and Probability Letters Pages: 11 ,
Linear Eigenvalue Statistics of XX’ matrices
2023
Kiran Kumar A.S., Shambhu Nath Maurya and Koushik Saha | American Institute of Physics
Journal: Journal of Mathematical Physics Pages: 27 ,
Time dependent fluctuations of linear eigenvalue statistics of some patterned matrices
2022
Arup Bose, Shambhu Nath Maurya and Koushik Saha | American Institute of Physics
Journal: Journal of Mathematical Physics Pages: 16 ,
Asymptotic behaviour of linear eigenvalue statistics of Hankel matrices
2022
Kiran Kumar A.S., Shambhu Nath Maurya | Elsevier
Journal: Statistics and Probability Letters Pages: 12 ,
Fluctuations of linear eigenvalue statistics of reverse circulant and symmetric circulant matrices with independent entries
2021
Shambhu Nath Maurya, Koushik Saha | American Institute of Physics
Journal: Journal of Mathematical Physics Pages: 31 ,
Process convergence of fluctuations of linear eigenvalue statistics of random circulant matrices
2021
Arup Bose, Shambhu Nath Maurya and Koushik Saha | World Scientific
Journal: Random Matrices: Theory and Applications Pages: 32 ,
Process convergence of fluctuations of linear eigenvalue statistics of band Toeplitz matrices
2020
Shambhu Nath Maurya, Koushik Saha | Elsevier
Journal: Statistics and Probability Letters Pages: 11 ,
Honors And Awards
Honors
National Board of Higher Mathematics(NBHM), India
2023
NBHM Post Doctoral Fellowship
Department of Science and Technology (DST), India
2025
INSPIRE Faculty Fellowship