Dr. Harsh Trivedi

Personal Information

Name Dr. Harsh Trivedi
Designation Assistant Professor
Department Mathematics
Date of Joining -
Research Area :
Broad area of my research is Operator Algebras. Presently I am working on Covariant representations on product systems and study invariant subspaces and dilation Theory

Courses Taught

UG Courses M-II (Summer 2017-18), M-I(2018-19), M-II(2018-19),
PG Courses Introduction to Number Theory(Summer 2017-18), Functional Analysis(2018-19), Mathematical Methods(2018-19)

Contact Information

Address Room No. 1064, Department of Mathematics, The LNM Institute of Information Technology, Rupa Ki Nangal, P.O. Sumel, Via. Jamdoli.
Country INDIA
Email Address harsh.trivedi@lnmiit.ac.in
Phone [Mobile] -
Office Extension 1309

Academic Information

Degree/Diploma Institute/ Organization Year Branch/Specialization
1 M.Sc.  ( Master of Science ) Gujarat University 2006 Mathematics
2 Ph. D.  ( Doctor of Philosophy ) Indian Institute of Technology Bombay 2016 Mathematics
3 Visiting Researcher/Scientist  ( ) Indian Statistical Institute Bangalore 2016 Mathematics

Research Publications

1 Santanu Dey and Harsh Trivedi, Bures distance and transition probability for $\alpha$-CPD-kernels, Complex Anal. Oper. Theory, Volume 13 (2019), Issue 5, 2171-2190 . (Impact Factor: 0.711)    JULY  2019      

2 Harsh Trivedi and Shankar Veerabathiran, Generating wandering subspaces for doubly commuting covariant representations, Integral Equations and Operator Theory, August 2019, 91:35, https://doi.org/10.1007/s00020-019-2533-3 . (Impact Factor: 0.65) Available at: https://rdcu.be/bMxdv      2019      

3 Jaydeb Sarkar, Harsh Trivedi and Shankar Veerabathiran, Covariant representations of subproduct systems: Invariant subspaces and curvature, New York J. Math., Volume 24 (2018), 211–232. (Impact Factor: 0.542)      2018      

4 Santanu Dey and Harsh Trivedi, K-families and CPD-H-extendable families, Rocky Mountain J. Math., Volume 47 (2017), no. 3 , 789–816. (Impact Factor: 0.481)      2017      

5 Santanu Dey and Harsh Trivedi, KSGNS construction for $\tau$-maps on S-modules and $\mathfrak K$-families, Operators and Matrices, Volume 11 (2017), no. 3, 679–696 (Impact Factor: 0.521)      2017      

6 Harsh Trivedi, A covariant Stinespring type theorem for $\tau$-maps, Surveys in Mathematics and its Applications, volume 9 (2014), 149-166.      2014      

Academic Experience

Name of Institute Duration From Duration To
1 Silver Oak University, Ahmedabad 2016 2018
2 Assistant Professor, The LNM Institute of Information Technology, Jaipur 2018 2019

Training/Conferences/Short Term Courses Attended

Month Year Information
1 OCT 2017 Talk: "Covariant representations of subproduct systems: Invariant subspaces and curvature”, Conference on Functional Analysis from 12th October to 14th October 2017 at IIT Bombay.
2 JAN 2017 Talk: "An invariant subspace theorem for covariant representations of subproduct systems”, National seminar on Functional Analysis & Harmonic Analysis from 16th January to 18th January 2017 at Sardar Patel University, Anand.
3 DEC 2016 Invited Talk: “Limit of functions of two variables”, Gujarat Mathematical Association 53rd annual meeting from 23rd December to 25th December 2016 at Ganpat University.
4 OCT 2015 Talk: “Rokhlin property for group actions on Hilbert C*-modules”, Departmental Symposium 2015 from 31st October to 1st November 2015 at IIT Bombay.
5 JULY 2014 Talk: “K-families and CPD-H-extendable families”, International Workshop on Operator Theory and Applications (IWOTA) from 14th to 18th July 2014 at Vrije University, Amsterdam.
6 NOV 2008 Talk: “Problem solving”, Workshop: UGC NET-GSET from 29th to 30th November 2008 at Department of Mathematics, Gujarat University.
7 MAY 2018 Talk: "Maximal Modulus Principle”, First Summer School in Mathematics from 20th May to 2nd June 2018 at St. Xavier's college, Ahmedabad.
8 DEC 2018 " Wold decomposition for doubly commuting isometric covariant representations", Recent advances in Operator Theory and Operator Algebras(OTOA2018) from 13th to 19th December 2018 at ISI Bangalore.

Training/Conferences/Short Term Courses Conducted

Month Year Information
1 MAR 2019 Convener of National Workshop on Topology and Functional Analysis-2019 during 11-15th March 2019 funded by LNMIIT Jaipur
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