Dr. Rajeev Gupta

Designation : Assistant Professor

Broad Area of Expertise : Mathematics

Email : rajeev{at}iitgoa.ac.in

Contact Number : 0832 249 0143

Address : F7, IT Building, GEC Campus

Personal Page

Educational Qualifications

Ph.D. in Mathematics

Areas of Research

Operator Theory, von Neumann Inequality, Grothendieck Inequality, Dirichlet-type Spaces

Courses Taught

 

Academic YearCourses Taught
Autumn 2020–21MTH101 Calculus; MTH6012 Functional Analysis
Autumn 2021–22MTH6011 Complex Analysis; MTH3151 & MTH3152 Complex Analysis
Spring 2021–22MTH317 Topology; MTH615 Hilbert Spaces of Analytic Functions on the Unit Disc
Autumn 2022–23MTH6012 Functional Analysis; MTH211 Real Analysis
Spring 2022–23MA203 Numerical Analysis, MA633 Dilations and Operator Spaces
Autumn 2023–24MA201 Real Analysis
Spring 2023–24MA203 Numerical Analysis
Autumn 2024–25MA305 Measures and Probability; MA602 Functional Analysis; MA603 Algebra
Spring 2024–25MA102 Basic Linear Algebra; MA306 Topology
Autumn 2025–26MA303 Complex Analysis I; MA304 Complex Analysis II; MA601 Advanced Complex Analysis
Spring 2025–26MA306 Topology

Professional Appointments

  1. Assistant Professor, School of Mathematics & Computer Science, IIT Goa (Oct 2020 - Present)
  2. INSPIRE Faculty, Department of Mathematics & Statistics , IIT Kanpur(Apr 2018 - Oct 2020)
  3. NPDF (SERB, DST), Department of Mathematics & Statistics , IIT Kanpur (Sep 2016 - Mar 2018)
  4. Research Associate, Department of Mathematics, IISc (July, 2015 - Aug 2016)

Recent Publications

  1. Multivariable Wold-Type Decomposition and Analytic Models for a class of left-inverse commuting pairs (with M. Bhattacharjee and V. Venugopal), Volume 565, Issue 1, 2027.
  2. von Neumann Inequality for a class of Doubly Contractive Weighted Shift (With S. Kumar and S. Dey), Volume 742, 2026, Pages 77-92.
  3. Cesàro summability of Taylor series in higher order weighted Dirichlet-type spaces, jointly with Dr. Soumitra Ghara and Dr. Ramiz Reza, Opuscula Mathematica 44 (2024), no. 3.
  4. A local Douglas formula for higher order weighted Dirichlet-type integrals, jointly with Dr. Soumitra Ghara and Dr. Ramiz Reza, The Journal of Geometric Analysis, 33 (2023), no. 8, 1-30.
  5. Weighted join operators on directed Trees, jointly with Prof. Sameer Chavan and Prof. K. B. Sinha, Complex Analysis and Operator Theory, 17 (2023), no. 36, 1-102.
  6. Analytic m-isometries and weighted Dirichlet-type spaces, joint work with Dr. Soumitra Ghara and Dr. Ramiz Reza, Journal of Operator Theory, 88 (2022), no. 2, 445-477.
  7. Dirichlet-type spaces on the unit ball and joint 2-isometries, joint work with Prof. Sameer Chavan and Dr. Ramiz Reza, Journal of Functional Analysis, 279 (2020), no. 10, 1-29.
  8. On variants of the Grothendieck inequality and estimates on tensor product norms (With G. Misra and S. Ray), submitted.
  9. Dirichlet type spaces in the unit bidisc (with M. Bhattacharjee and V. Venugopal), submitted.
  10. Wold-type decomposition for Doubly commuting two-isometries (with M. Bhattacharjee and V. Venugopal), submitted.
  11. Extreme points, Projective and injective tensor products, Property P, Property Q (with A. Mal, G. Misra, and S. K. Ray), submitted.

Recognition and Awards

Edit Profile