Education

1. Integrated Ph.D, Department of Mathematics, IISc Bangalore, 2017

2. B.Sc. (Hons.) in Mathematics, Ramakrishna Mission Vidyamandira, Belur Math, University of Calcutta, 2009

Teaching Experience

1. Assistant Professor : Department of Mathematics and Statistics, ALiah University, Kolkata, May 2026 - Present.

2. Assistant Professor (Grade-I): School of Mathematics, Indian Institute of Science Education and Research Thiruvananthapuram: Jan 2022-May 2026.

3.  Assistant Professor (Grade-I): Department of Mathematics, Indian Institute of Technology Jammu.  Sep, 2021 - Dec, 2021.

Field of Specialization

Operator Theory and Functional Analysis

Courses Taught/Teaching

UG Level:

1. Introduction to Real Analysis

2. Linear Algebra and Complex Analysis 

3. Calculus and Matrices -I

PG Level:

1. Fourier Analysis 

2. Topics in Linear Algebra 

3. Topics in Analysis-I 

4. Topics in Analysis-II 

5. Analysis on Manifold 

6. Functional Analysis 

7. Real Analysis 

8. Topics in Matrix Analysis 

Research Area

My area of research is Operator Theory. More specifically, I am interested in operator theory on Hilbert spaces consist of analytic functions. The tools and techniques in this area make contact with broad range of disciplines, from functional analysis to harmonic analysis and complex analysis.

Experience

1. Visiting Postdoctoral Fellow, School of Mathematics, IISER Pune: July-Sep 2021.

2. Institute Postdoctoral Fellow, Department of Mathematics and Statistics, IIT  Kanpur:   May 2019- May 2021.

3. SERB Overseas Postdoctoral Fellow (OPDF), Department of Mathematical Sciences, Chalmers University of Technology, Gothenburg, Sweden: March 2018- March 2019.

4. SERB National Postdoctoral Fellow (NPDF), Department of Mathematics and Statistics, IISER - Kolkata: Sep 2017- Feb 2018.

5. Research Associate,  Department of Mathematics, IISC Bangalore: Feb- Aug 2017.

Journal Papers Published

1. Rajeev Gupta and Md. Ramiz Reza, Operator space structures on ℓ¹(n), Houston Jour-nal of Mathematics, Volume 44 (2018), no. 4, 1205–1212.

2. Md. Ramiz Reza, Curvature inequalities for operators in the Cowen-Douglas class of a planar domain, Indiana Univ. Math. J. 67 (2018), no. 3, 1255–1279, DOI number: https://doi.org/10.1512/iumj.2018.67.7320

3. Gadadhar Misra and Md. Ramiz Reza, Curvature inequalities and extremal operators, Illinois Journal of Mathematics, Volume 63 (2019), no. 2, 193–217, DOI number: 10.1215/00192082-7768711

4. Md. Ramiz Reza and Genkai Zhang, Hausdorff moment sequences induced by rational functions, Complex Analysis and Operator Theory, Volume 13 (2019), no. 8, 4117–4142, https://doi.org/10.1007/s11785-019-00952-9

5. Sameer Chavan, Rajeev Gupta and Md. Ramiz Reza, Dirichlet-type spaces on the unit ball and joint 2-isometries, J. Funct. Anal. 279 (2020), no. 10, 108733, 29 pp, DOI number : https://doi.org/10.1016/j.jfa.2020.108733

6. Sameer Chavan, Soumitra Ghara and Md. Ramiz Reza, Cauchy dual subnormality prob-lem via de Branges–Rovnyak spaces, Studia Mathematica, 265 (3), (2022), 315–341. https://doi.org/10.4064/sm210419-9-12

7. Soumitra Ghara, Rajeev Gupta and Md. Ramiz Reza, Analytic m-isometries and weighted Dirichlet-type spaces, Journal of Operator Theory, Vol. 88 (2), (2022), 445–477, http://dx.doi.org/10.7900/jot.2021mar26.2335

8. Sameer Chavan and Md. Ramiz Reza, Bi-isometries reducing the hyper-ranges of the coordinates, Linear Algebra and Its Applications, Vol. 668 (2023), 51-63, https://doi.org/10.1016/j.laa.2023.03.012

9. Soumitra Ghara, Rajeev Gupta and Md. Ramiz Reza, A local Douglas formula for higher order weighted Dirichlet-type integrals, Journal of Geometric Analysis, Vol. 33 (8), (2023), 1-30, https://doi.org/10.1007/s12220-023-01297-8

10. Soumitra Ghara, Rajeev Gupta and Md. Ramiz Reza, Ces`aro summability of Taylor series in higher order weighted Dirichlet-type spaces, Opuscula Math. 44, no. 3 (2024), 373-390, https://doi.org/10.7494/OpMath.2024.44.3.373

11. Ashish Kujur and Md.  Ramiz Reza, Toeplitz Operators on the Dirichlet Space and the Brown Halmos Operator Identity, Banach Journal of Mathematical Analysis, (2025) Volume 19 (3), article 42, 1-20, https://doi.org/10.1007/s43037-025-00434-5

Awards

1.Awarded SERB OPDF Postdoctoral fellowship for pursuing postdoctoral research work at Chalmers University of Technology, Sweden in September 2017.

2. Awarded SERB NPDF Postdoctoral fellowship in August 2017

3. Selected for NBHM Postdoctoral fellowships in September 2017

4. Qualified for Junior Research Fellowship (JRF) and eligibility for Lectureship (NET)' in Joint CSIR-UGC Test held on 19-06-2011.

MASTER Thesis Guidance

1. Mr. Niladri Sekhar Patra, 2023
2. Mr. Ashish Kujur,  2023
3. Ms. Pallabi Bera, 2023
4. Mr. Pillai Adithya Satyendra, 2023
5. Ms. Haripriya V,  2024 
6. Mr. Adithya Jayaraman, 2024
7. Mr. Pradip Kevat, 2025
8. Mr. Kishore N,  2026

Orientation/Refresher/QIP CourseAttended/Organized

1. Organized Annual Foundational School-I (AFS-I) TVM 2022 during May 30, 2022 - June 25, 2022 at IISER Thiruvananthapuram

Seminar/Conference/Workshop

1. On “Higher order weighted Dirichlet type spaces with poly-superharmonic weights and Dirichlet type operators of finite order” at 40th Annual Conference of the Ramanujan Mathematical Society held at IIIT Delhi during 18th-20th December, 2025.

2. On “Brown Halmos Operator Identity and Toeplitz Operators on the Dirichlet Space” in “Conference on Operator Algebra and Related Topics” at IIT Bombay (COART-25@IITB) during February 24 - 28, 2025.

3. On “A local Douglas formula and generalized Ces`aro summability in higher order weighted Dirichlet type spaces” in “Spaces of Analytic Functions and their Operators” at Saarland University, Germany during May 13 - May 17, 2024.

4. On “Generalized Ces`aro summability in higher order weighted Dirichlet type spaces” in “Inter IISER NISER Math Meet 2023” at NISER Bhubaneswar during September 29 - October 01, 2023.

5. On “A peak into higher order weighted Dirichlet space and its associated multiplier spaces” in the conference “Operator Theory and Complex Geometry” organized at IISER Kolkata during 24-26 November, 2022.

6. On “Wold type decomposition and wandering subspace property for a class of expansive 3 concave operators” in the Conference on ‘Hilbert Modules in Analytic Function Spaces’ organized at Tsinghua Sanya International Mathematics Forum (TSIMF), Sanya, P.R. China during December 30, 2019-Jan 3, 2020.

7. On “Hausdorff moment sequences induced by rational functions” in the “Conference on Functional analysis@IITB” organized at IIT Bombay, Mumbai during October 17-20, 2019.

8. On “Extremal operators and sharp curvature inequalities” in the “Conference on Func-tional analysis@IITB” organized at IIT Bombay, Mumbai during October 13-17, 2017.

9. ​​​​​​​On “Curvature Inequalities for Operators in the Cowen-Douglas Class of a Planar Do-main” in the Conference on ‘Hilbert Modules in Analytic Function Spaces’ organized at Tsinghua Sanya International Mathematics Forum (TSIMF), Sanya, P.R. China during May 22-26, 2017.

10. On “Curvature Inequalities for Operators in the Cowen-Douglas Class of a Planar Do-main” in the Conference on ‘Operator Theory and Operator Algebras(OTOA-2016)’ organized at the Indian Statistical Institute, Bangalore centre on December 20, 2016.

Professional Society Activity

1. Life Member, Ramanujan Mathematical Society (RMS), Tiruchirappalli, Tamil Nadu.