Gayathri P

Designation: 

Assistant Professor

Date of Joining at NITK: 

Wednesday, December 4, 2024

Professional Experience: 

1. December 2024 - Till Date: Assistant Professor, NITK Surathkal
2. August 2024 - December 2024: Research Associate, IIT Bombay
3. January 2024 - May 2024: Teaching Assistant, NIT Raipur

Contact Details

E-mail: 

pgayathri[at]nitk[dot]edu[dot]in

Mobile: 

+91-9488587120
Faculty (author) Identifiers

ORCID iD: 

https://orcid.org/0000-0003-3719-5932

Research Gate: 

https://www.researchgate.net/profile/P-Gayathri

MathSciNet: 

https://mathscinet.ams.org/Gayathri, P.
Academic Background

• Ph.D., National Institute of Technology Tiruchirappalli (2024)
• M.Sc., Mathematics, Pondicherry University (2019)
• B.Sc., Mathematics, The American College (2017)

Areas of Interest
  • Geometry of Banach spaces
  • Best approximation theory
  • Birkhoff-James Orthogonality
Significant Projects
  • Principal Investigator, “A Study on the Geometric, Duality and Stability Aspects of the Quotient Lifting Property in Banach Spaces and its Applications”, funded by the Anusandhan National Research Foundation (ANRF), March 2026 - March 2029 (Grant: ₹26.3L)- Ongoing.
  • Principal Investigator, Seed Grant Project, “A Study on E-Proximinality in Banach Spaces: Characterization, Stability and Dual Extensions”, funded by the National Institute of Technology Karnataka (NITK), Surathkal, October 2025 - October 2027 (Grant: ₹10L)- Ongoing.
Supervision of Ph.D

Ongoing:2
1. T. T. Gowresh
2. A. R. Archana

Achievements

Workshop Organized

  • Organized a National-Level workshop on "Functional Analysis and Operator Algebras" sponsored by Anusandhan National Research Foundation (ANRF) during 01-05, June 2026.

Administrative Roles

  • Warden (GH-4 Hostel), 2025 - Till date
Award
 
  • Awarded the MHRD Ph.D. Fellowship, 2019–2024.
  • Qualified GATE, 2019.
  • Qualified CSIR–UGC JRF, December 2018 and December 2019.
  • Qualified the Tamil Nadu State Eligibility Test (TNSET), 2018.
  • Awarded the University Rank Holder Scholarship (UGC), 2017–2019.
  • Qualified the Joint Admission Test (JAM), 2017.
Significant Publications

1. P. Gayathri, K. Sreelakshmi and V. Thota: Equability and strong equability in Banach spaces, J. Convex. Anal., 33(1&2), 521-541, 2026. https://www.heldermann.de/JCA/JCA33/JCA331/jca33033.htm

2. P. Gayathri and V. Thota: On k-WUR and its generalizations, Numer. Funct. Anal. Optim., 45(10-11), 507-551, 2024. https://doi.org/10.1080/01630563.2024.2405463

3. P. Gayathri, P. Shunmugaraj, and V. Thota: Extensions of continuous linear functionals and smoothness of Banach spaces, J. Convex. Anal., 31(1), 195-226, 2024. https://www.heldermann.de/JCA/JCA31/JCA311/jca31012.htm

4. P. Gayathri and V. Thota: On geometric and best approximation properties of k-UR and its generalizations, Banach J. Math. Anal. 17 (2), Paper No. 29, 32pp., 2023. https://doi.org/10.1007/s43037-023-00254-5

5. P. Gayathri and V. Thota: Characterizations of weakly uniformly rotund Banach spaces, J. Math. Anal. Appl. 514 (1), Paper No. 126298, 15 pp., 2022. https://doi.org/10.1016/j.jmaa.2022.126298

 

Contact us

Dr. Pushparaj Shetty D , Professor and Head
Department of Mathematical and Computational Sciences,
NITK, Surathkal
P. O. Srinivasnagar, Mangalore - 575 025
Karnataka, India.

  • Hot line: +91-0824-2474032

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