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

  • MTH101 Calculus (Autumn 2020-21)
  • MTH6012 Functional Analysis (Autumn 2020-21)
  • MTH6011 Complex Analysis (Autumn 2021-22)
  • MTH3151 and MTH 3152 Complex Analysis (Autumn 2021-22)
  • MTH317 Topology (Spring 2021-22)
  • MTH615 Hilbert Spaces of Analytic Functions on the Unit Disc (Spring 2021-22)
  • MTH6012 Functional Analysis (Autumn 2022-23)
  • MTH211 Real Analysis (Autumn 2022-23)
  • MA203 Numerical Analysis (Spring 2022-23)

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. 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.
  2. 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.
  3. 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.
  4. 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.
  5. 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.
  6. On variants of the Grothendieck inequality and estimates on tensor product norms (With G. Misra and S. Ray), submitted.
  7. Dirichlet type spaces in the unit bidisc (with M. Bhattacharjee and V. Venugopal), submitted.
  8. Wold-type decomposition for Doubly commuting two-isometries (with M. Bhattacharjee and V. Venugopal), submitted.
  9. Multivariable Wold-Type Decomposition and Analytic Models for a class of left-inverse commuting pairs (with M. Bhattacharjee and V. Venugopal), submitted.
  10. von Neumann Inequality for a class of Doubly Contractive Weighted Shift (With S. Kumar and S. Dey), submitted.

Recognition and Awards

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