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I am currently working as an Assistant Professor in the Department of Mathematical and Computational Sciences at National Institute of Technology Karnataka, Surathkal. Prior to joining NITK, I taught at St. Stephen's College, University of Delhi for more than eight years.
I completed my Ph.D. in 2016 under the guidance of Prof. Subiman Kundu at Indian Institute of Technology (IIT) Delhi. My research interests are Analysis on metric spaces and General Topology. And my research contribution is quite apparent from my research articles in various reputed international journals. My passion for teaching and research has motivated me to write textbooks for undergraduates and postgraduates in collaboration with my Ph.D. supervisor.
Books
Books
The research monograph, titled “Cofinally complete metric spaces and related functions”, by S. Kundu, M. AGGARWAL and L. Gupta is published by World Scientific Publishing Co. Pte. Ltd. in May 2023, ISBN: 978-981-127-265-3, https://doi.org/10.1142/13316
The textbook, titled “Metric Spaces and Related Analysis”, by S. Kundu and M. AGGARWAL is published by World Scientific Publishing Co. Pte. Ltd. in November 2023, ISBN: 978-981-127-891-4, https://doi.org/10.1142/13486
The textbook, titled “Elements of Functional Analysis and Operator Theory”, by S. Kundu and M. AGGARWAL is published by World Scientific Publishing Co. Pte. Ltd. in June 2026, ISBN: 978-981-98-2952-1, https://doi.org/10.1142/14777
Research Publications
Research Publications
M. AGGARWAL, “Lipschitz-type functions vis-à-vis quasi-Cauchy sequences”, to appear in Real Analysis Exchange.
M. AGGARWAL, “More about Lipschitz-type functions and quasi-Cauchy sequences”, to appear in Rocky Mountain Journal of Mathematics.
M. AGGARWAL, “Uniform continuity of multifunctions”, Set-Valued and Variational Analysis, 32, 11 (2024), pp 1-11.
M. AGGARWAL, “Split Lipschitz-type functions”, Topology and its Applications, 341 (2024), 108730, pp 1-13.
M. AGGARWAL and Ş. Cobzaş, “On some Lipschitz-type functions”, Journal of Mathematical Analysis and Applications, 517 (2023), 126631, pp 1-15.
S. Kundu and M. AGGARWAL, “Linear maps between the sequence spaces c and co”, Resonance, 28 (2023), pp 653-658 .
M. AGGARWAL and L. Gupta, “Uniform Split Continuity”, Journal of Mathematical Analysis and Applications, 511 (2022), 126099, pp 1-15.
L. Gupta and M. AGGARWAL, “Split Continuity: A different perspective”, Topology and its Applications, 317 (2022), 108189, pp 1-11.
M. AGGARWAL and S. Kundu, “More on variants of complete metric spaces”, Acta Mathematica Hungarica, 151 No. 2 (2017), pp 391-408.
M. AGGARWAL and S. Kundu, “Cauchy metrizability of bornological universes”, Journal of Convex Analysis, 24 No. 4 (2017), pp 1085-1098.
S. Kundu, M. AGGARWAL and S. Hazra, “Finitely chainable and totally bounded metric spaces: Equivalent characterizations”, Topology and its Applications, 216 (2017), pp 59-73.
M. AGGARWAL and S. Kundu, “Boundedness of the relatives of uniformly continuous functions”, Topology Proceedings, 49 (2017), pp 105-119.
M. AGGARWAL and S. Kundu, “More about the cofinally complete spaces and the Atsuji spaces”, Houston Journal of Mathematics, 42 No. 4 (2016), pp 1373-1395.
Awards and Distinctions
Awards and Distinctions
NBHM Postgraduate Scholarship awarded by National Board for Higher Mathematics for 2011-12.
NBHM Research Award by National Board for Higher Mathematics in 2012.
Ranked 1st position in University of Delhi M.Sc Mathematics Examination, 2012.
Qualified for CSIR Junior Research Fellowship in June 2012.
NBHM Post-Doctoral Fellowship by National Board for Higher Mathematics in 2017.
Contact : manisha@nitk.edu.in
Contact : manisha@nitk.edu.in
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