DEPARTMENTS
Dr. Deepesh K. P.
Dr. Deepesh K. P.

Asst. Professor (Grade I)

Office Address:

#319, 2nd floor, Department of Mathematics, NIT Calicut.

Contact no:

0495 228 5230

Home Address:

"Gulmohar", Mundakkal, Poovattu paramb PO, Kozhikode 673008, Kerala

  • PhD (Indian Institute of Technology Madras) - 2011

  • PDC, BSc, MSc (St. Josephs College Devagiri - Calicut University) - 1999, 2002, 2004

  • Schooling (Goverment High School Iringallur, Palazhi) - SSLC 1997

  • Educational Qualifications

    • PhD (Indian Institute of Technology Madras) - 2011

    • PDC, BSc, MSc (St. Josephs College Devagiri - Calicut University) - 1999, 2002, 2004

    • Schooling (Goverment High School Iringallur, Palazhi) - SSLC 1997

    2026-27 Monsoon Semester:

    1. Mathematics I (MA1002E) CS01 batch, B2+ slot, ECLHC B 

    2. Mathematics I (MA1002E) CS03, D2+ slot, ECLHC P

    2025-26 Winter Semester:

    1. Mathematics II (MA1011E) EC02 batch, C1+ slot, ECLHC L 

    2. Mathematics II (MA1011E) CH02 and EN01 batches, D1+ slot, ECLHC F

    2025-26 Monsoon Semester:

    1. Mathematics I (MA1003E) ME03-ME04 batch, A2+ slot, ECLHC E (Course co-ordinator along with Prof. Sunil Jacob John)

    2. Mathematics I (MA1003E) PE batch, B1+ slot, ECLHC G

    2024-25 Winter Semester:

    1. Mathematics II (MA1011E) EE01 batch, C2+ slot, ECLHC C (Course Co-ordinator along with Dr. Vijayakumar R.)

    2. Mathematics II (MA1011E) EE03 batch, C1+ slot, ECLHC C

    3. Mathematics IV (MA2016E) BT01 batch, A1+ slot, SBT-302A (with Dr Ashok R)

    2024-25 Monsoon Semester:

    1. MA7202E Functional Analysis (MSc)

    2. Mathematics I (MA1003E) CE03 batch, B2+ slot, ECLHC A

    3. Mathematics I (MA1003E) CE04 batch, D2+ slot, ECLHC H

    2023-24 Winter Semester:

    1. Mathematics IV (MA2002D), ME01 batch, DB319

    2. Mathematics IV (MA2002D), ME04 batch, DB311

    2023-24 Monsoon Semester:

    1. Mathematics I (MA1003E), ME01 batch, ECLHC E (Course co-ordinator along with Dr Saudamini Nayak)

    2. Mathematics I (MA1003E), MSE01 batch, ECLHC Q

    2022-23 Winter semester:

    1.  Mathematics 4 (MA2002D), EP01 batch, A2+ slot, classroom: PH005

    2,  Mathematics-2 (MA1002D), ME01 Bach, A1+ slot, classroom: ECLHC-E

     

    1. “Some properties of Approximation numbers” National Symposium on Mathematical methods and applications (NSMMA 2010) held on 22 December 2010 at Department of Mathematics, IIT Madras.
       
    2. “Approximation numbers of operators on normed linear spaces” in the 24th annual conference of the Ramanujan Mathematical Society held at the Indian Statistical Institute during May 11-13, 2009.
       
    3. “Some estimates for approximation numbers” in the proceedings of National conference on operator theory and applications (OPTAS - 2011), held at Payyanur college, 32-36.

    Assistant Professor of Mathematics, Department of Mathematics, National Institute of Technology Calicut (Jan 2023 onwards)

    Assistant Professor of Mathematics : Government Engineering College West Hill (August 2018 - Jan 2023)

    Assistant Professor of Mathematics : Government Brennen College Thalassery (Aug 2016 - July 2018)

    Assistant Professor of Mathematics (on deputation) : Indian Institute of Technology Palakkad (06 August 2015 - 05 August 2016)

    Assistant Professor of Mathematics : Government Engineering College West Hill (June 2012 - August 2015)

    Assistant Professor of Mathematics : Government College Kasaragod (Dec 2011 - June 2012)

    Assistant Professor of Mathematics :   Government Polytechnic College Periye, Kasaragod  (Jan - June 2007 & Jan - Nov 2011)

    Lecturer in Mathematics : Sree Narayana Guru College of Engineering and Technology (June - Dec 2006)

    Articles Published:

    1. Deepesh, K.P., Kulkarni, S.H. & Nair, M.T. Approximation Numbers of Operators on Normed Linear Spaces. Integr. equ. oper. theory, 65, 529 (2009). https://doi.org/10.1007/s00020-009-1721-y (https://link.springer.com/content/pdf/10.1007/s00020-009-1721-y.pdf)
    2. Deepesh, K.P., Kulkarni, S.H. & Nair, M.T. Approximation numbers of relatively bounded operators,  Functional analysis, approximation and computation 5:2 (2013), 35-42.
    3. Deepesh, K.P., Kulkarni, S.H. & Nair, M.T. Generalized inverses and approximation numbers, Chapter in Combinatorial matrix theory and generalized inverses of matrices, Edited by R. B. Bapat et al. Springer India 2013.
    4. Deepesh, K.P., Kumar, V.B.K. Approximation of Entropy Numbers. Complex Anal. Oper. Theory, 13, 3429–3440 (2019). https://doi.org/10.1007/s11785-019-00946-7
    5. Deepesh, K.P., Generalized approximation and estimation of entropy numbers. Adv. Oper. Theory, 9, 10 (2023). https://doi.org/10.1007/s43036-023-00307-4
    6. Deepesh, K.P., Shameem, M. & Sreelakshmi, M.P. On properties of Crawford numbers of operators on Hilbert spaces. Acta Sci. Math. (2024). https://doi.org/10.1007/s44146-024-00166-2 (https://rdcu.be/dY7TD)
    7. Deepesh K. P. Approximation results on s-numbers of operators. Palestine Journal of Mathematics. (2025). https://pjm.ppu.edu/sites/default/files/papers/PJM_14%283%29_2025_308_to_318.pdf.pdf
    8. Mohammed Shameem  and K. P. Deepesh. On numerical range properties of self-adjoint operators on smooth Banach spaces. Journal of Algebra and Its Applications. (2026) https://doi.org/10.1142/S0219498826440081 

    Articles under review:

        1. Numerical Ranges of Operators via Attainment of Crawford Number and Numerical Radius (communicated)

     

    Currently, I am mentoring two Ph.D. students: Mr. Mohammed Shameem, who is working on numerical range and associated quantities of operators, and Ms. Anusree K P, doing the course work as part of her PhD requirements.

    1. Delivered a talk on "Entropy numbers of operators" in the Workshop on Inverse Problems and Applications, held on 8/3/2023, organized by the Department of Mathematical and Computational Sciences, National Institute of Technology Karnataka, Surathkal.
    2. Delivered talks in “Ganitha Garima”, a workshop on core areas of Mathematics organized by the Department of Mathematics, University of Kerala from 21 – 24 March 2023.
    3. Delivered a talk in the Instructional Workshop on “Linear Algebra And Spectral Graph Theory “ held on 19th & 20th October 2023, at the Department of Mathematics, Government Brennen College Thalassery, Kerala.
    4. Delivered a talk on "On Properties of Entropy Numbers of Operators" at the International Conference on Semigroups, Operators and Automata (ICSOA-24) held at the University of Kerala from 22.05.24 to 24.05.24.
    5. Delivered a talk on "Crawford numbers of operators" in the Second Mathematics Research Symposium (MaRS 2025), scheduled to be held on February 7-8, 2025, at Manipal Institute of Technology, Manipal.

    1. Awarded CSIR-JRF in 2004

    2. Awarded CSIR-SRF in 2006

    3. Selected for Scientist Post at ISRO in 2006 (did not join)

    4. First rank in the recruitment list of Assistant Professors - examination conducted by the Kerala Public Service Commission in 2006.

    • Department website in-charge, from 2023 - 2025 Feb.
    • DTTC, Mathematics from 2023 - 2025 Feb.
    • Coordinated Mathematics Department's National Science Day programme 2024.
    • PhD coordinator, from 2025 February onwards
    • Financial Planning and Management Committee - Department of Mathematics, from 2025 February onwards
    • Convener, Department Level Alumni Meeting, 2025

    1. Some notes on system of linear equations and their solutions, without using much of linear algebra definitions

    2. Some notes on Partial Differential Equations, basic definitions, techniques of solutions, standard PDEs are discussed.

    3. Some slides on vector valued functions needed for vector calculus

    Life Member of Ramanujan Mathematical Society