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, 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)

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. A local Douglas formula for higher order weighted Dirichlet-type integrals, jointly with Dr. Soumitra Ghara and Dr. Ramiz Reza, arXiv:2207.02525 
  2. Weighted join operators on directed Trees, jointly with Prof. Sameer Chavan and Prof. K. B. Sinha, submitted, arXiv:1806.08495.
  3. 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.
  4. 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.
  5. The Caratheodory-Fejer interpolation on the polydisc, joint work with Prof. Gadadhar Misra, Studia Mathematica, 254 (2020), no. 3, 265-294.

Recognition and Awards


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