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.
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
- Indian Certificate of Secondary Education (ICSE) from Calcutta Boys' School, Kolkata, 2007.
- Indian School Certificate (ISC) from Calcutta Boys' School, Kolkata, 2009.
- B.Sc. with Mathematics (Hons.) from St. Xavier's College, Kolkata, 2012.
- Integrated Ph.D. from the Department of Mathematics, Indian Institute of Science, Bengaluru, 2019.
Work Experience
- Served as a research associate at the Department of Mathematics, Indian Institute of Science, from July 2019 to May 2020.
- 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.
- Served as a postdoctoral fellow at the Harish-Chandra Research Institute from Dec 2020 to Jul 2022.
- Served as an INSPIRE Faculty Fellow at the Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, from August 2022 to June 2024.
- Have been serving as an Assistant Professor at the Department of Mathematics, Indian Institute of Technology Madras, from June 2024 to the present.
Publications (reverse chronological order)
- (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
- (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
- (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
- (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
- On the continuous extension of Kobayashi isometries, Proc. Amer. Math. Soc. 148 (2020), 3437–3451, DOI: 10.1090/proc/15038
- 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
Preprints
- (with Vikramjeet Singh Chandel, Sushil Gorai and Amar Deep Sarkar) Horofunction compactifications and local Gromov model domains, submitted, 2025.
- (with Vikramjeet Singh Chandel, Sushil Gorai and Amar Deep Sarkar) Visibility property in one and several complex variables and its applications, submitted, 2024.
Courses taught
- Jan–May 2026: MA6120 Advanced Complex Analysis
- Jul–Nov 2025: MA5330 Real Analysis
- Jan–May 2025: MA6120 Advanced Complex Analysis
- Jul–Nov 2024: MA2010 Complex Variables
Courses being taught in the current semester (Jul–Nov 2026)
- MA2104 Complex Analysis
Mentorship
-
PhD Students
- Nongmaithem Manoj Meitei (Jan 2025–)
-
Summer Interns
- Samay Paria (IISER Pune; Jun–Jul 2026)
- Jayanthan P (IISER Pune; Jun–Jul 2026)
- Malay Tripathi (IISER Mohali; Jun–Jul 2025)
- Anubhav Sharma (IISER Mohali; Jun–Jul 2025)
-
Postdocs
- Dr. Anjali Bhatnagar (PhD, IISER Pune; Jun–Nov 2025)
Invited talks delivered at conferences / workshops (in chronological order)
- Horofunction compactifications and local Gromov model domains at the 41st Annual Conference of the Ramanujan Mathematical Society (RMS-2026), 2–5 July 2026, Manipal Institute of Technology Bengaluru, Bengaluru, Karnataka, India.
- A few topological consequences of visibility relative to the Kobayashi distance at Complex Analysis and Geometry XXVII, 9–12 September 2025, Trento, Italy.
- Local and global notions of visibility at Interactions in SCV, 11–15 December 2023, IISER Pune, Pune, Maharashtra, India.
- The extension of planar biholomorphisms via the visibility property at the Hayama Symposium on Complex Analysis in Several Variables XXIV, 15–18 July 2023, Hayama, Kanagawa, Japan.
- The continuous extension of Kobayashi isometries via the visibility property at Interactions in SCV, 19–23 December 2022, Kerala School of Mathematics, Kozhikode, Kerala, India.
Expository / Instructional activities
- Delivered a series of 4 lectures on elementary differential calculus to undergraduate / beginning graduate students as a part of the Summer Workshop in Mathematics organised by the Kerala School of Mathematics, Kozhikode, Kerala, at Kannur Uinversity, Kannur, Kerala, India, 25–29 May, 2026.
- Mentored two high-school students as a part of RSI-C (Research Science Initiative—Chennai), May–June 2026.
- Delivered a series of 6 lectures on “The visibility property in Several Complex Variables” at the Advanced Instructional School Topics in Complex Analysis in one and higher dimensions, 23–28 June, 2025, at IIT Palakkad, Palakkad, Kerala, India.
Conferences / workshops / seminars / symposia organised
- Workshop on Metric Aspects in Complex Analysis and Operator Theory at the Department of Mathematics, IIT Madras, 5–8 December 2026.