Dr. Rajeev Gupta

Educational Qualifications

Ph.D. in Mathematics

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Areas of Research

Operator Theory, Grothendieck Inequality, Dirichlet-type Spaces

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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)

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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)

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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.

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Recognition and Awards

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