The LNM Institute of Information Technology

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Harsh Chandrakant Trivedi

harsh.trivedi@lnmiit.ac.in

Date of joining:

19-03-2018

Department:

Mathematics


Summary

Dr. Harsh Trivedi is a devoted and proficient faculty member at Department of Mathematics. He joined the institute in the year 2018 and since then he has been instrumental in teaching Analysis related courses, and doing research in Operator Algebras.


Biography

After completing Ph.D. from IIT Bombay, Dr. Harsh Trivedi has been Visiting Scientist at Indian Statistical Institute Bangalore in 2016. He is associated with Department of Mathematics from 2018 and his area of research is Multivariable Operator Theory with emphasis on Operator Algebras. He has supervised MSc Mathematics thesis of 10 students and has supervised PhD Mathematics thesis of 2 students till date. Besides participating in several international conferences and workshops, he has published articles in several journals of repute like Infinite Dimensional Analysis, Quantum Probability and Related Topics(IDAQP); Journal of Mathematical Analysis and Applications(JMAA); New York Journal of Mathematics(NYJM); Integral Equations and Operator Theory(IEOT) etc.


Research Area

Multivariable Operator Theory

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Dr. Harsh Chandrakant Trivedi

Assistant Professor

Mathematics

https://lnmiit.irins.org/profile/239630

Education

Degree/DiplomaInstitute/ OrganizationYearBranch/Specialization
1Ph. D. Doctor of PhilosophyIndian Institute of Technology Bombay2016Mathematics
2M.S. Master of ScienceGujarat University2006Mathematics

Projects

Name of ProjectTotal Cost of ProjectFunding AgencyDuration FromDuration To
1MATRICS-SERB600000Science and Engineering Research Board-Government Of India20222024

Experience

Name of OrganizationPost/DesignationDuration FromDuration To
1The LNM Institute of Information Technology JaipurAssociate Professor20232024
2The LNM Institute of Information Technology JaipurAssistant Professor20182023
3Indian Statistical Institute BangaloreVisiting Scientist20162016
4Silver Oak University AhmedabadAssistant Professor20162018

Publications

1Santanu Dey, Dimple Saini, Harsh Trivedi, Block quantum dynamical semigroups of completely positive definite kernels, Infinite Dimensional Analysis, Quantum Probability and Related Topics, August 2024
2Dimple Saini, Harsh Trivedi, Shankar Veerabathiran, Powers and roots of partial isometric covariant representations, Adv. Oper. Theory 9, 61 (2024)., June 2024
3P. Bag, A. Rohilla, H. Trivedi, Quantum U-channels on S-spaces, arxiv, April 2024
4Dimple Saini, Harsh Trivedi, Shankar Veerabathiran, Berger-Coburn-Lebow representation for pure isometric representations of product system over N02, Journal of Mathematical Analysis and Applications, Volume 531, Issue 1, Part 2, 2024, 127807., April 2024

Research guidance

NameRoll No.TitleStatusLinkedIn Profile
1Azad Rohilla18PMT005Wold-type decomposition of Regular covariant representations and Beurling quotient subspacesCompleted
2Dimple Saini18PMT006Applications of Wold-von Neumann decomposition and block completely positive definite kernelsCompleted
3Niraj Kumar24PMT002Some problems in Functional AnalysisPursuing