Welcome to my website!

I am Anwoy Maitra, currently an Assistant Professor at the Department of Mathematics, IIT Madras.

I work in Several Complex Variables (SCV), also known as multidimensional complex analysis, which is ordinary complex analysis, as learnt at the bachelor’s or master’s level, carried out in dimensions $d\ge 2$. Several new and interesting phenomena arise in this more general context, and studying subjects in SCV usually involves a mixture of analysis, geometry, topology, functional analysis, and, sometimes, metric geometry. It is with this last ingredient that most of my work is concerned. Specifically, I work mostly on problems dealing with (or involving) various invariant or intrinsic metrics in SCV.

a photograph of myself

Here are my contact details. Email: anwoy[at]iitm[dot]ac[dot]in; Telephone: (+91)-44-2257-4624.

Here is my CV in brief:

Education

  1. Indian Certificate of Secondary Education (ICSE) from Calcutta Boys' School, Kolkata, 2007.
  2. Indian School Certificate (ISC) from Calcutta Boys' School, Kolkata, 2009.
  3. B.Sc. with Mathematics (Hons.) from St. Xavier's College, Kolkata, 2012.
  4. Integrated Ph.D. from the Department of Mathematics, Indian Institute of Science, Bengaluru, 2019.

Work Experience

  1. Served as a research associate at the Department of Mathematics, Indian Institute of Science, from July 2019 to May 2020.
  2. Served as a research associate at the School of Mathematical and Computational Sciences, Indian Association for the Cultivation of Science, from September 2020 to December 2020.
  3. Served as a postdoctoral fellow at the Harish-Chandra Research Institute from Dec 2020 to Jul 2022.
  4. Served as an INSPIRE Faculty Fellow at the Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, from August 2022 to June 2024.
  5. Have been serving as an Assistant Professor at the Department of Mathematics, Indian Institute of Technology Madras, from June 2024 to the present.

Publications (in chronological order)

  1. A form of Schwarz’s lemma and a bound for the Kobayashi metric on convex domains, J. Math. Anal. Appl. 484 (2020), article no. 123694, 16 pp., DOI: 10.1016/j.jmaa.2019.123694
  2. On the continuous extension of Kobayashi isometries, Proc. Amer. Math. Soc. 148 (2020), 3437–3451, DOI: 10.1090/proc/15038
  3. (with Gautam Bharali) A weak notion of visibility, a family of examples, and Wolff—Denjoy theorems, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 22 (2021), 195–240, DOI: 10.2422/2036-2145.201906_007.
  4. (with Anindya Biswas) A characterization of the bidisc by a subgroup of its automorphism group, J. Math. Anal. Appl. 504 (2021), article no. 125434, 10 pp., DOI: 10.1016/j.jmaa.2021.125434
  5. (with Tirthankar Bhattacharyya and Anindya Biswas) On the geometry of the symmetrized bidisc, Indiana Univ. Math. J. 71 (2022), 685–713, DOI: 10.1512/iumj.2022.71.8896
  6. (with Vikramjeet Singh Chandel and Amar Deep Sarkar) Notions of visibility with respect to the Kobayashi distance: comparison and applications, Ann. Mat. Pura Appl. (4) 203 (2024), 475–498, DOI: 10.1007/s10231-023-01371-6

Preprints (in chronological order)

  1. (with Vikramjeet Singh Chandel, Sushil Gorai and Amar Deep Sarkar) Visibility property in one and several complex variables and its applications, submitted, 2024.
  2. (with Vikramjeet Singh Chandel, Sushil Gorai and Amar Deep Sarkar) Horofunction compactifications and local Gromov model domains, submitted, 2025.

Courses taught (in chronological order)

  1. Jul–Nov 2024: MA2010 Complex Variables
  2. Jan–May 2025: MA6120 Advanced Complex Analysis
  3. Jul–Nov 2025: MA5330 Real Analysis

Courses to be taught in coming semester

  1. Jan–May 2026: MA6120 Advanced Complex Analysis

Mentorship