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Faculty details

Prof.Hemant Kumar Mishra

Designation: Assistant Professor

Department: Mathematics & Computing

Email: hemantmishra1124[at]iitism[dot]ac[dot]in

Contact Number: 9910794988

Personal Page: Click Here

About Me: My primary research interests lie in matrix analysis and continuous-variable quantum information—the mathematical framework to understand and characterize quantum states of light—with a special focus on quantum systems with bosonic particles exhibiting Gaussian characteristics in their quantum states. Other areas of my active research involve classical and quantum hypothesis testing, quantum entanglement, and quantum entropy.

Research Interest: Matrix Analysis, Quantum Information Theory, Operator Theory, Functional Analysis

Teaching

Research Methodology (Winter semester 2025, IIT (ISM) Dhanbad)
Engineering Mathematics II (Winter semester 2025, IIT (ISM) Dhanbad)
Calculus for Engineers (Aug 26-30, 2024, Cornell University)
Teaching Assistant for Real Analysis (Fall 2017, ISI Delhi)

Academics

PhD in Mathematics (July 2016- October 2021)
- Institute: Indian Statistical Institute Delhi
- Area: Matrix Analysis
- Thesis Title: Differential and subdifferential properties of symplectic eigenvalues
- Supervisor: Prof. Tanvi Jain
MSc in Mathematics and Computing (June 2014-May 2016)
- Institute: Indian Institute of Technology Guwahati
- CPI: 9.31/10
- Project Title: Representation Theory
- Project Guide: Prof. Anjan K. Chakrabarty
BSc with Mathematics Major (July 2011-March 2014)
- Institute: D. G. Ruparel College, Matunga, Mumbai
- Areas
  - First year: Physics, Chemistry, Mathematics
  - Second year: Physics, Mathematics
  - Third year: Mathematics
- CPI: 6.9/7
Higher Secondary School 12th Class (July 2010-March 2011)
- Institute: Guru Nanak Khalsa College, Matunga, Mumbai
- Stream: Science
- Percentage: 81.5
Secondary School 10th Class (July 2008-March 2009)
- Institute: Sanatan Dharam High School, Koliwada, Mumbai
- Percentage: 89.69
- School Topper

Position

Assistant Professor at IIT (ISM) Dhanbad, Department of Mathematics & Computing (October 2024-present)
Postdoctoral Associate at Cornell University, School of Electrical and Computer Engineering (July 2022-September 2024)
Research Associate at Louisiana State University, Department of Physics & Astronomy (Feb 2022-June 2022)

Awards and Honors

NBHM Research Award 2016 Declined
Joint CSIR-UGC JRF, June 2018 All India Rank 4
Associate Editor in JISST
Reviewer for American Mathematical Society Reviewer #153199
Official Reviewer in American Journal of Applied Mathematics
Program Committee Member of AQIS Conference 2023

Publications

List Of Research Publications (only in Peer-reviewed Journals)

Shaowu Huang and Hemant K. Mishra. Majorization in some symplectic weak supermajorization. Linear Algebra and its Applications, 703:1–10, 2024. arXiv:2404.05795.
Hemant K. Mishra, Michael Nussbaum, and Mark M. Wilde. On the optimal error exponents for classical and quantum antidistinguishability. Letters in Mathematical Physics, 114(76), 2024. arXiv:2309.03723.
Hemant K. Mishra, Ludovico Lami, Prabha Mandayam, and Mark M. Wilde. Pretty good measurement for bosonic Gaussian ensembles. International Journal of Quantum Information,22(5):2440010, 2024. arXiv:2303.04949.
Gajendra Babu, and Hemant K. Mishra. Block perturbation of symplectic matrices in Williamson’s theorem. Canadian Mathematical Bulletin, 67(1):201–214, 2024. arXiv:2307.01078.
Hemant K. Mishra, Samad Kh. Oskouei, and Mark M. Wilde. Optimal input states for quantifying the performance of continuous-variable unidirectional and bidirectional teleportation. Physical Review A, 107:062603, 2023. arXiv:2210.05007.
Tanvi Jain, and Hemant K. Mishra. Derivatives of symplectic eigenvalues and a Lidskii type theorem. Canadian Journal of Mathematics, 74(2):457–485, 2022. arXiv:2004.11024.
Hemant K. Mishra. First order sensitivity analysis of symplectic eigenvalues. Linear Algebra and its Applications, 604:324-–345, 2020. arXiv:2007.10572.

Papers in conference abstract volumes / presented

Theshani Nuradha, Hemant K. Mishra, Felix Leditzky, and Mark M. Wilde. Multivariate
fidelities. 2024. Accepted at Beyond IID conference 2024 for a talk combined with another paper
Hemant, Michael Nussbaum, and Mark M. Wilde. On the optimal error exponents for classical and quantum antidistinguishability. Letters in Mathematical Physics 114(76) 2024. Accepted at Beyond IID conference 2024 for a talk combined with another paper

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Faculty details

Prof.Hemant Kumar Mishra

Teaching

Research Methodology (Winter semester 2025, IIT (ISM) Dhanbad)

Engineering Mathematics II (Winter semester 2025, IIT (ISM) Dhanbad)

Calculus for Engineers (Aug 26-30, 2024, Cornell University)

Teaching Assistant for Real Analysis (Fall 2017, ISI Delhi)

Academics

Position

Assistant Professor at IIT (ISM) Dhanbad, Department of Mathematics & Computing (October 2024-present)

Postdoctoral Associate at Cornell University, School of Electrical and Computer Engineering (July 2022-September 2024)

Research Associate at Louisiana State University, Department of Physics & Astronomy (Feb 2022-June 2022)

Awards and Honors

Publications

List Of Research Publications (only in Peer-reviewed Journals)

Papers in conference abstract volumes / presented

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