Dr. Vamsinadh Thota

 

Dr. Vamsinadh Thota is an Assistant Professor in the Department of Mathematics at the National Institute of Technology, Tiruchirappalli (NITT). 

He received his Doctor of Philosophy (Ph.D.) in Mathematics from the Department of Mathematics and Statistics, Indian Institute of Technology Kanpur, during 2012–2017, under the supervision of Prof. P. Shunmugaraj. His doctoral dissertation, titled "Some Geometric and Approximation Theoretic Properties in Banach Spaces". He earned his Master of Science (M.Sc.) in Applied Mathematics from the Indian Institute of Technology Roorkee in 2012 and his Bachelor of Science (B.Sc.) in Mathematics from Acharya Nagarjuna University in 2009.

His research interests lie in Functional Analysis, with a primary focus on the Geometry of Banach Spaces and Approximation Theory in Banach Spaces. His research includes the geometric and structural properties of Banach spaces, best approximation, simultaneous approximation, norm-attaining operators, orthogonality in Banach spaces, smoothness and convexity properties of normed spaces, the study of non-expansive mappings, and fixed point theory. He is also interested in the relationships among Banach space geometry, operator theory, nonlinear analysis, and approximation theory, with the aim of advancing the theoretical foundations of these areas and exploring their applications. 

Dr. Thota is actively involved in teaching undergraduate and postgraduate courses, mentoring students, and guiding research activities in Functional Analysis and related areas. He welcomes collaborations and research interactions with scholars and students working in Functional Analysis, Banach Space Theory, Approximation Theory, Fixed Point Theory, and nonlinear analysis.

Designation Department Institute Duration

Assistant Professor (Grade-I)                              

 Department of Mathematics                   National Institute of Technology Tiruchirappalli, Tamil Nadu    September 2022 – Present              

Assistant Professor (Grade-II)      

 Department of Mathematics National Institute of Technology Tiruchirappalli, Tamil Nadu                                June 2018 – September 2022     

Assistant Professor (Ad-hoc)

 School of Mathematics and Statistics                    University of Hyderabad, Telangana January 2018 – May 2018

Assistant Professor (Ad-hoc)

 Department of Mathematics National Institute of Technology Calicut, Kerala July 2017 – December 2017
S.No.  Title of the Paper Journal Name Publication Details Co-authors
18

Non-equilibrium steady-state solution in aggregation fragmentation systems with injection:
Extended analysis for multi-component systems

 Zeitschrift für Angewandte Mathematik und Physik 77(7), 2026,
Article 197

F. W. V. Kharchandy,
J. Saha
17 Equability and strong equability in Banach spaces Journal of Convex Analysis

33(1–2), 2026,
521–541

P. Gayathri,
K. Sreelakshmi
16

Convergence to the steady-state solutions of the multivariate Redner–Ben-Avraham–Kahng
cluster system with source injection

 Journal of Physics A: Mathematical and Theoretical

59(5), 2026,
Article 055701

F. W. V. Kharchandy,
J. Saha
15

Stationary-state solutions to the continuous Redner–Ben-Avraham–Kahng cluster system due to
injection of source and efflux

 Zeitschrift für Angewandte Mathematik und Physik 77(2), 2026,
Article 51

F. W. V. Kharchandy,
J. Saha
14

Existence, stability and nonlinear estimates of stationary-state solutions to the nonlinear aggregation
with collision-induced fragmentation model

 Physica D: Nonlinear Phenomena 475, 2025,
Article 134579

F. W. V. Kharchandy,
J. Saha
13 Solution of coupled nonlinear hyperbolic type aggregation-breakage models with two-dimensional extension Chaos, Solitons & Fractals 199, 2025,
Article 116773

A. Paswan,
P. Kushwah,
J. Saha
12 Characterizations of some rotundity properties using property UC′ and its generalizations Bulletin of the Malaysian Mathematical Sciences Society 48(5), 2025,
Article 143		 C. A. Prasath
11

Characterizations of some rotundity properties in terms of farthest points

 Mediterranean Journal of Mathematics 22(2), 2025,
Article 45		 C. A. Prasath
10

On k-WUR and its generalizations

 Numerical Functional Analysis and Optimization 45(10–11), 2024,
507–551		 P. Gayathri
9 Extensions of continuous linear functionals and smoothness of Banach spaces Journal of Convex Analysis 31(1), 2024, 1
95–226

P. Gayathri,
P. Shunmugaraj
8

On geometric and best approximation properties of k-UR and its generalizations

 Banach Journal of Mathematical Analysis 17(2), 2023,
Article 29		 P. Gayathri
7 A note on the volume conserving solution to simultaneous aggregation and collisional
breakage equation		 Axioms 12(2), 2023,
Article 181

F. W. V. Kharchandy,
A. Das,  J. Saha,
M. Singh
6

New semi-analytical approach and its convergence analysis for a classical hyperbolic fragmentation
model: A homotopy perturbation method

 Journal of Computational Science 73, 2023,
Article 102135

P. Kushwah,
A. Paswan,
J. Saha, M. Singh,
K. Moroney
5 Characterizations of weakly uniformly rotund Banach spaces Journal of Mathematical Analysis and Applications 514(1), 2022,
Article 126298		 P. Gayathri
4

Some geometric and proximinality properties in Banach spaces

 Journal of Convex Analysis 25(4), 2018,
1139–1158		 P. Shunmugaraj
3

Uniform convexity, strong convexity and property UC

 Journal of Mathematical Analysis and Applications 446(2), 2017,
1769–1775		 P. Shunmugaraj
2 Chebyshev centers and some geometric properties of Banach spaces Journal of Mathematical Analysis and Applications 449(1), 2017,
926–938

S. Lalithambigai,
T. Paul, 
P. Shunmugaraj
1 Uniform strong proximinality and continuity of metric projection Journal of Convex Analysis 24(4), 2017,
1263–1279

S. Dutta,
P. Shunmugaraj
S.No.  Scholar Name

Thesis Title

 Duration of Study Status
1 Dr. (Ms.) P. Gayathri Some Geometric, Best Approximation and Extension Properties in Banach Spaces

July 2019 – January 2024  

 Awarded, 21 June 2024
2 Dr. C. Arunachala Prasath On Some Rotundity Properties of Banach Spaces in terms of Remotality, UC′ and UC-Type Properties       

October 2020 – March 2026            

 Awarded, 06 July 2026
3 Dr. Farel William Viret Kharchandy 
(Jointly with Dr. Jitraj Saha)             		 Steady-State Solutions to Nonlinear Particulate Models

April 2021 – February 2026

 Awarded,  10 April 2026
4 Dr. Amit Paswan
(Jointly with Dr. Jitraj Saha)		 Solution Methodologies for Multivariate Nonlinear Particulate Models

February 2022 – February 2026

 Awarded, 24 March 2026
5 Ms. K. Sreelakshmi —

August 2022 – Present

 FST
6 Ms. Anupama Ghorai
(Jointly with Dr. Jitraj Saha)		 —

August 2023 – Present

 FST

*CW: Course Work; CE: Comprehensive Examination; FST: First Seminar Talk; SST: Second Seminar Talk; Sy: Synopsis; TS: Thesis Submitted

  • Acta Mathematica Scientia
  • Advances in Operator Theory
  • Journal of Analysis
  • Journal of Geometric Analysis
  • Journal of Inequalities and Applications
S.No. 

Student Name

 Dissertation Title Duration
1

Ms. Roshini S

 A Study of Non-Expansive Mappings July 2025 – May 2026                                    
2

Mr. Omprakash Kumar

 Fixed Point Theorems and Their Applications January – May 2025
3

Mr. Aritra Dasgupta                                                 

 Norm Attaining Operators in Banach Spaces January – May 2024
4

Mr. Ravi Kumar

 Generalization of Fixed-Point Theorem and Its Applications in Graph Theory                                                      January – May 2023
5

Ms. Viona Valerian Dsouza

 Orthogonality in Normed Linear Spaces January – May 2023
6

Ms. Piyali Chakraborty

 Korovkin-Type Approximation of Functions January – May 2022
7

Ms. Arya Rajan

 Various Methods in Summability Theory January – May 2022
8

Mr. Bhuvandeep

 Some Fixed-Point Theorems and Their Applications January – May 2021
Year Role

Programme

 Host Institution / Organizer Duration
2021 Organizer  

National Workshop on Functional Analysis and Numerical Analysis

 National Institute of Technology Tiruchirappalli 05–09 April 2021
2021 Organizer

National Workshop on Software in Mathematics and Statistics    

 National Institute of Technology Tiruchirappalli 02–06 August 2021
2020 Participant Online Training Programme on E-content Development

National Institute of Technical Teachers' Training and Research (NITTTR), Chennai,
conducted at National Institute of Technology Tiruchirappalli

 11–15 May 2020
2019 Participant TEQIP-Sponsored Workshop on Advanced Functional Analysis and its Applications

Indian Institute of Technology Hyderabad

 25–29 November 2019
2019 Participant SERB-Sponsored Symposium on Geometry of Banach Spaces

Indian Institute of Technology Hyderabad

 01–02 December 2019
2019 Participant

Short-Term Course on Numerical Analysis using MATLAB

 National Institute of Technology Tiruchirappalli 15–19 May 2019
2018 Participant Faculty Development Programme Teaching Learning Centre, Indian Institute of Technology Madras,
conducted at National Institute of Technology Tiruchirappalli		 21–23 June 2018
2016 Participant TSSRK Rao Fest – A Celebration of T. S. S. R. K. Rao's 60th Birthday

Indian Statistical Institute, Bengaluru

 22–24 September 2016
2015 Participant National Conference on Geometry of Banach Spaces and Operator Theory

Indian Institute of Technology Kanpur

 26–29 March 2015

2011    

 Participant Studies in Analysis – Summer Research Fellowship Programme Indian Statistical Institute, Bengaluru May–July 2011
Year Title of the Talk

Event

 Host Institution Duration
2026 Geometry of Banach Spaces

National Workshop on Functional Analysis and Operator Algebras

 National Institute of Technology Karnataka, Surathkal 01–05 June 2026
2022 Various Smoothness Properties in Banach Spaces National Workshop on Functional Analysis and its Applications Indian Institute of Information Technology, Allahabad 14–16 January 2022
2022 Some Characterizations of Uniformly Convex Spaces National Workshop on Geometry of Banach Spaces and its Applications Indian Institute of Information Technology, Allahabad 31 December 2021 – 02 January 2022
2021 Applications of Banach Contraction Principle Faculty Development Programme on Research Advances in Mathematics and its Applications Sathyabama Institute of Science and Technology, Chennai 02–04 August 2021
2021

Compactness and Connectedness

 National Workshop on Algebra, Analysis and Differential Equations National Institute of Technology Tiruchirappalli 14–18 June 2021
2020 Uniform Strong Proximinality of Subspaces of a Banach Space International Conference on Algebra, Analysis and Their Applications Madurai Kamaraj University, Madurai 09–12 January 2020
2018   Applications of Integration Faculty Development Programme on Mathematics for Engineers Alagappa Chettiar Government College of Engineering & Technology, Karaikudi 23 December 2018

  1. MAIR11 – Mathematics – I (July-2018)

  2. MAIR12 – Linear Algebra and Calculus (July-2019, July-2020)

  3. MAIR21 – Mathematics – II (January-2019)

  4. MAIR21 – Complex Analysis and Differential Equations (January-2020)

  5. MAIR22 â€“ Complex Analysis and Differential Equations (January-2020, January-2021)

  6. MAIR32 – Transforms and Partial Differential Equations (July-2018)

  7. MAIR42 â€“ Probability and Numerical Techniques (January-2021)

  8. MAIR47 – Probability and Statistics (January-2019)

  1. MA601 – Numerical Methods and Applied Statistics (July-2019)

  2. MA701 – Real Analysis (July-2020, July-2021, July-2022, July-2023, July-2024, July-2025)

  3. MA801 – Research Methodology in Mathematical Sciences (July-2020)

  4. MA851 – Applied Mathematics (July-2018, January-2019, July-2019)

  5. MA857 – Approximation Theory (January-2021)

  6. MA858 – Convex Analysis (January-2021)

  1. Summer Research Student, May – July 2011, ISI Bangalore.

  2. Geometry of Banach spaces and Operator Theory (GBOT), March 26 – 29, 2015 at IIT Kanpur.

  3. T. S. S. R. K. Rao Fest, September 22 – 24, 2016 at ISI Bangalore.

  4. Visiting Research Scholar, May – June 2017, IIT Palakkad.

Dr. Vamsinadh Thota
Assistant Professor
Department of Mathematics
National Institute of Technology Tiruchirappalli
#215, Lyceum Building
Tiruchirappalli, Tamil Nadu – 620015, India

Email: vamsinadh@nitt.edu, vamsinadht@gmail.com
Office Telephone: +91 431 250 3666
Mobile: +91 8173980996

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