Dr. Aryaman Sensarma

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Assistant Professor             
Email: aryamansensarma@gmail.com, aryaman@math.nits.ac.in
Date of Joining: 07/November/2023
Academic/Industrial Experience: 4 years 11 Months
Scopus ID: 57201360627
Google Scholar: Click Here

ACADEMIC EMPLOYMENTS

1.  Indian Statistical Institute (ISI) Bangalore, Postdoctoral Researcher, September 2019–September 2023,  Mentor: Prof. Jaydeb Sarkar

2. Indian Statistical Institute (ISI) Kolkata, Postdoctoral Researcher, May 2019–September 2019,  Mentor: Prof. Pradipta Bandyopadhyay

3. Indian Statistical Institute (ISI) Kolkata, Visiting Research Scholar, June 2017–April 2019, Thesis Supervisor: Prof. Pradipta Bandyopadhyay

 


ACADEMIC QUALIFICATIONS

Ph.D. from Indian Institute of Technology (IIT) Kanpur

Visiting Research Scholar  from Indian Statistical Institute (ISI) Kolkata

Postdoctoral Research Scholar from Indian Statistical Institute (ISI) Bangalore


RESEARCH INTERESTS

  • Functional Analysis,
  • Geometry of Banach Spaces,
  • Operator Theory,
  • Operator Algebra,
  • Quantum Information Theory.   

Feel free to contact me if you are interested in delving into these subjects. I am open to discussions on these topics.


 

RESEARCH  DIRECTIONS

Presently I have  three major directions:

  • Classification of L1-predual Spaces or Lindenstrauss Spaces,
  • Classification of  Norm attaining Operators on Hardy Spaces,
  • Structure of Completely Positive and Completely Bounded Maps and its  connections with Quantum Information Theory.

AWARDS AND ACHIEVEMENTS

  • Offer of Postdoctoral Position in Mathematics at University of Memphis in United
    States of America 2023
  • Offer of Postdoctoral Position in Mathematics at National Central University in
    Taiwan (R. O. C) 2023
  • Indian Statistical Institute Bangalore Visiting Scientist Fellowship 2023
  • NBHM Post-Doctoral Fellowship 2019
  • Indian Statistical Institute Bangalore Visiting Scientist Fellowship 2019
  • Indian Statistical Institute Kolkata Visiting Scientist Fellowship 2019
  • Indian Statistical Institute Kolkata Visiting Research Scholar (June, 2017– April,
    2019)
  • NBHM Research Award in Mathematics 2013
  • Joint CSIR-UGC Test, All India Rank-14
  • GATE-2012, All India Rank-64
  • State Eligibility Test-2013
  • University Merit Scholarship received for five years during Bachelor’s and Master’s
    (2006-2011) degree

TEACHING  ASSISTANCES

  • MATHEMATICS I,  IIT Kanpur (UG)
  • MATHEMATICS II, IIT Kanpur  (UG)
  • ANALYSIS I, IIT Kanpur  (UG)
  • TOPICS IN TOPOLOGY, IIT Kanpur  (PG)
  • KNOT THEORY, IIT Kanpur  (PG)
  • National Programme on Technology Enhanced Learning’ (NPTEL)- MULTIVARIABLE CALCULUS, IIT Kanpur  (UG)
  • National Programme on Technology Enhanced Learning’ (NPTEL)- CURVES AND
    SURFACES, IIT Kanpur  (UG)
  • Analysis-III, ISI Bangalore  (UG)

TEACHING EXPERIENCES

  •  MATHEMATICS  II,  (Linear Algebra, Complex Anlysis, Numerical Analysis, Multi-
    ple Integrals), NIT Silchar  (UG)
  • COMPLEX ANALYSIS, NIT Silchar  (PG)
  • FUNCTIONAL ANALYSIS, NIT Silchar (PG) (Ongoing)
  • MATHEMATICS-III (Partial Differential Equation, Fourier Transforms, Probability
    and Statistics),  NIT Silchar (UG) (Ongoing)

INVITED TALKS

1.On commutative and noncommutative Gurariy Spaces”, Workshop on Geometry of Banach Spaces and its Applications, January 2, 2022, IIIT Allahabad, India.

2. “On non-separable Gurariy Spaces”, Symposium on Geometry of Banach Spaces, December 1, 2019, IIT Hyderabad, India.

3. “A Bishop-Phelps-Bollob´as theorem for bounded analytic functions”, Conference in memory of Prof. Pravir Dutt, Prof. Arbind Kumar Lal & Prof. Sudipta Dutta, November 5, 2022, IIT Kanpur, India.

4. “On $L_1$-predual Spaces“, Colloquia in Mathematics, Harish-Chandra Research Institute (HRI), Prayagraj (Allahabad), India.

5. “A Bishop-Phelps-Bollob\'{a}s theorem for bounded analytic functions and the Disc Algebra“, Departmental Seminar,  IISER Mohali., India

6.  “Russo-Dye type Theorem, Stinespring representation, and Radon-Nikodym derivative for invariant block multilinear completely positive maps“, Noncommutative Mathematics and Applications (NCMA)  (A part of this conference will be dedicated to commemorating Professor Kalyan Bidhan Sinha’s (KBS’s) 80th birthday),  Indian Statistical Institute, Bangalore, October 2024. (Upcoming Visit: October 24, 2024-October 26, 2024)


CONFERENCE PARTICIPATED

1. Annual Foundation School – Part II, IIT Kanpur, 2013, India.

2. Analysis and Geometry, TIFR-CAM, Bangalore, 2014, India.

3. Conference on Geometry of Banach Spaces and Operator Theory (GBOT), IIT Kanpur, 2015, India.

4. 30th annual Ramanujan Mathematical Society conference, IISER Mohali, 2015, India.

5. 14th Discussion Meeting on Harmonic Analysis, University of Delhi, 2015, India.

6. TSSRK Fest, ISI Bangalore, 2016, India.

7. Several Complex Variable, IISc Bangalore, 2018, India.

8. Symposium on Geometry of Banach Spaces, IIT Hyderabad, 2019, India.

9. KBS Fest, ISI Bangalore, 2019, India.

10. The 48th Canadian Operator Symposium, The Fields Institute for Research in Mathematical Sciences., 2020, Canada.

11. Banach Spaces Webinars, The Banach Space Bulletin Board, 2020.

12. Webinars on Operator Theory and Operator Algebras 2020, India.

13. Focus Program on Analytic Function Spaces and their Applications, The Fields Institute for Research in Mathematical Sciences, July 1 – December 31, 2021, Canada.

14. Noncommutative algebra, probability and analysis in action, Alfried Krupp Kolleg in Greifswald, September 20 – September 25, 2021, Germany.

15. Workshop on Geometry of Banach Spaces and its Applications, December 31 – January 2, 2022, IIT Hyderabad, India.

16. 42nd International Conference on Quantum Probability, and Infinite Dimensional
Analysis (QP-42),  January 17 – January 20, 2022, India.

17.  Conference in memory of Prof. Pravir Dutt, Prof. Arbind Kumar Lal & Prof. Sudipta Dutta, IIT Kanpur,  IIT KanpurNovember 5 – November 7, 2022, India.

18. Perspectives in Quantum Probability, May 5, 2023, India.


RESEARCH  ARTICLES

  1.  Sudipta Dutta, Divya Khurana, Aryaman Sensarma, Representing matrices, M-ideals
    and Tensor products of L1-predual spaces, Extracta Mathematicae. 33–50, 33 (2018),
    no. 1. https://doi:10.17398/2605-5686.33.1.33. (AMS Ranking: B, Scimago Journal Rank: Q3)
  2.  Pradipta Bandyopadhyay, Sudipta Dutta, Aryaman Sensarma, Almost isometric ideals and non-separable Gurariy spaces, Journal of Mathematical Analysis and Applications, 279–284, 462 (2018), no. 1. https://doi.org/10.1016/j.jmaa.2018.02.013(AMS Ranking: A, Scimago Journal Rank: Q1)
  3.  Pradipta Bandyopadhyay, Sudipta Dutta, Aryaman Sensarma, Polyhedral preduals
    of ℓ1 and their representing matricesJournal of Mathematical Analysis and Applications, 1082–1089, 468 (2018), no. 2. https://doi.org/10.1016/j.jmaa.2018.08.058(AMS Ranking: A, Scimago Journal Rank: Q1)
  4.  Pradipta Bandyopadhyay, Aryaman Sensarma, Representing Diagrams and M-Ideals in L1-Predual SpacesJournal of Convex Analysis. 333–344, 29 (2022),   https://www.heldermann.de/JCA/JCA29/JCA292/jca29020.htm(AMS Ranking: A, Scimago Journal Rank: Q2)
  5.   Neeru Bala, Kousik Dhara, Jaydeb Sarkar, Aryaman Sensarma, Idempotent,
    model, and Toeplitz operators attaining their norms, Linear Algebra and its Applications. 150–165, 622 (2021). https://doi.org/10.1016/j.laa.2021.03.032(AMS Ranking: A, Scimago Journal Rank: Q1)
  6.  Pradipta Bandyopadhyay, Aryaman Sensarma, A note on commutative and noncommutative Gurariy spaces, Archiv der Mathematik. 65–72, 118 (2021), no. 1. https://doi.org/10.1007/s00013-021-01674-1(AMS Ranking: B, Scimago Journal Rank: Q2)
  7.  Neeru Bala, Kousik Dhara, Jaydeb Sarkar, Aryaman Sensarma, A Bishop-Phelps-Bollob´as theorem for bounded analytic functions, Journal of Functional Analysis. 109834, 284, Issue 6, (2023). https://doi.org/10.1016/j.jfa.2022.109834(AMS Ranking: A*, Scimago Journal Rank: Q1)
  8. Rahul Maurya, Jaydeb Sarkar, Aryaman Sensarma, Automorphisms and generalized
    projections on spaces of analytic functionsJournal of Mathematical Analysis and Applications 127698, 530, Issue 2, (2024)  (AMS Ranking: A, Scimago Journal Rank: Q1), https://doi.org/10.1016/j.jmaa.2023.127698
  9.  Neeru Bala, Jaydeb Sarkar, Aryaman SensarmaA Bishop-Phelps-Bollob´as theorem for disc algebrahttps://arxiv.org/abs/2305.00859   Indian Journal of Pure and Applied Mathematics, K. R. Parthasarathy Volume  (Accepted).
  10. Anindya Ghatak, Aryaman SensarmaRusso-Dye type Theorem, Stinespring representation, and Radon Nikod´ym dervative for invariant block multilinear completely positive mapshttps://arxiv.org/abs/2110.13426v3, Indian Academy of Sciences. Proceedings. Mathematical Sciences (To appear).
  11.  Kousik Dhara, Narayan Rakshit, Jaydeb Sarkar, Aryaman SensarmaOrthogonality in Banach spaces via projective tensor producthttps://arxiv.org/abs/2010.00978  (Not for publication)