School of Basic Sciences

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Department of
Mathematics
School of Basic Sciences

Dr. Amar Deep Sarkar

Assistant Professor
  • SBS
  • amar@iitbbs.ac.in
  • Department of Mathematics
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Brief Resume
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Research Interests:
Several Complex Variables; Metric Geometry
Education
Degree Discipline Year School
  B.Sc. Mathematics 2011 Arya Vidyapeeth College, Guwahati
  Intergrated Ph. D. Mathematics 2019 Indian Institute of Science Bangalore

Biosketch

I am an Assistant Professor in the School of Basic Sciences (Mathematics) at the Indian Institute of Technology (IIT) Bhubaneswar. Prior to this, I served as a postdoctoral fellow at both the Department of Mathematics and Statistics at IISER Kolkata and the Harish-Chandra Research Institute in Prayagraj. I completed my Ph.D. at the Indian Institute of Science, Bangalore, under the supervision of Prof. Kaushal Verma. My academic journey began with a B.Sc in Mathematics from Arya Vidyapeeth College, Guwahati, in 2011. I then pursued an Integrated Ph.D. in Mathematics at the Indian Institute of Science, Bangalore, completing it in 2019.

My research primarily focuses on several complex variables and understanding the geometry of invariant metrics in complex manifolds. Particularly, I study the visibility of the Kobayashi distance in complex Euclidean spaces and its applications.
  1. Sahil Gehlawat, Aakanksha Jain, and Amar Deep Sarkar, A note on kernel functions of Dirichlet spaces, Journal of Mathematical Analysis and Applications, 543: 2025. DOI: 10.1016/j.jmaa.2024.128897
  2. Vikramjeet Singh Chandel, Anwoy Maitra, and Amar Deep Sarkar, Notions of visibility with respect to the Kobayashi distance: comparison and applications, Annali di Matematica Pura ed Applicata, 203: 475–498, 2024. DOI: 10.1007/s10231-023-01371-6
  3. Amar Deep Sarkar, Localization of the Kobayashi distance for any visibility domain, The Journal of Geometric Analysis, 33: 144, 2023. DOI: 10.1007/s12220-023-01200-5
  4. Sahil Gehlawat, Aakanksha Jain, and Amar Deep Sarkar, The reduced Bergman kernel and its properties, International Journal of Mathematics, 34(3): 2350015, 2023. DOI: 10.1142/S0129167X23500155
  5. Amar Deep Sarkar, Boundary behaviour of the span metric and its higher-order curvatures, Complex Analysis and Its Synergies, 8: 16, 2022. DOI: 10.1007/s40627-022-00106-2
  6. Sahil Gehlawat, Aakanksha Jain, and Amar Deep Sarkar, Transformation formula for the reduced Bergman kernel and its application, Analysis Mathematica, 48: 1055–1068, 2022. DOI: 10.1007/s10476-022-0136-8
  7. Amar Deep Sarkar and Kaushal Verma, On the Hurwitz metric, Kodai Mathematical Journal, 44(1): 126–136, 2021. DOI: 10.2996/kmj44108
  8. Amar Deep Sarkar and Kaushal Verma, A submultiplicative property of the Carathéodory metric on planar domains, Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 130: 35, 2020. DOI: 10.1007/s12044-020-00565-9
  9. Amar Deep Sarkar and Kaushal Verma, Boundary behaviour of some conformal invariants on planar domains, Computational Methods and Function Theory, 20: 145–158, 2020. DOI: 10.1007/s40315-020-00303-2
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