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 | Zeitschrift für Angewandte Mathematik und Physik | 77(7), 2026, Article 197 |
F. W. V. Kharchandy, |
|
| 17 | Equability and strong equability in Banach spaces | Journal of Convex Analysis |
33(1–2), 2026, |
P. Gayathri, |
| 16 |
Convergence to the steady-state solutions of the multivariate Redner–Ben-Avraham–Kahng |
Journal of Physics A: Mathematical and Theoretical |
59(5), 2026, |
F. W. V. Kharchandy, |
| 15 |
Stationary-state solutions to the continuous Redner–Ben-Avraham–Kahng cluster system due to |
Zeitschrift für Angewandte Mathematik und Physik | 77(2), 2026, Article 51 |
F. W. V. Kharchandy, |
| 14 |
Existence, stability and nonlinear estimates of stationary-state solutions to the nonlinear aggregation |
Physica D: Nonlinear Phenomena | 475, 2025, Article 134579 |
F. W. V. Kharchandy, |
| 13 | Solution of coupled nonlinear hyperbolic type aggregation-breakage models with two-dimensional extension | Chaos, Solitons & Fractals | 199, 2025, Article 116773 |
A. Paswan, |
| 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, |
| 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, |
| 6 |
New semi-analytical approach and its convergence analysis for a classical hyperbolic fragmentation |
Journal of Computational Science | 73, 2023, Article 102135 |
P. Kushwah, |
| 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, |
| 1 | Uniform strong proximinality and continuity of metric projection | Journal of Convex Analysis | 24(4), 2017, 1263–1279 |
S. Dutta, |
| 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
| 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, |
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 |
MAIR11 – Mathematics – I (July-2018)
MAIR12 – Linear Algebra and Calculus (July-2019, July-2020)
MAIR21 – Mathematics – II (January-2019)
MAIR21 – Complex Analysis and Differential Equations (January-2020)
MAIR22 – Complex Analysis and Differential Equations (January-2020, January-2021)
MAIR32 – Transforms and Partial Differential Equations (July-2018)
MAIR42 – Probability and Numerical Techniques (January-2021)
MAIR47 – Probability and Statistics (January-2019)
MA601 – Numerical Methods and Applied Statistics (July-2019)
MA701 – Real Analysis (July-2020, July-2021, July-2022, July-2023, July-2024, July-2025)
MA801 – Research Methodology in Mathematical Sciences (July-2020)
MA851 – Applied Mathematics (July-2018, January-2019, July-2019)
MA857 – Approximation Theory (January-2021)
MA858 – Convex Analysis (January-2021)
Summer Research Student, May – July 2011, ISI Bangalore.
Geometry of Banach spaces and Operator Theory (GBOT), March 26 – 29, 2015 at IIT Kanpur.
T. S. S. R. K. Rao Fest, September 22 – 24, 2016 at ISI Bangalore.
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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