Dr. Harsh Trivedi

Personal Information

Name Dr. Harsh Trivedi
Designation Assistant Professor
Department Mathematics
URL
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.
City JAIPUR
State RAJASTHAN
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 (2018). https://doi.org/10.1007/s11785-018-0798-1      2018      


2 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.      2018      


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


4 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      2017      


5 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 Assistant Professor, Silver Oak college of Engineering and Technology affiliated to Gujarat Technological University 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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