Assistant Professor
Department of Mathematical Sciences
📍 1F10, AB2
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Research Area
Operator Theory and Functional Analysis
Research Interests
My research interests lie mostly in the area of Operator Theory. My current focus is on problems related to linear operators on quaternionic Hilbert spaces, Numerical range of matrices with quaternion entries, study of local (multilinear) completely positive maps, and dilation theory.
2021 - 2022 : Assistant Professor, Birla Institute of Technology and Science (BITS) Pilani
Apr 2018 - Jan 2021 : Post Doctoral Fellow (NBHM), Indian Statistical Institute, Bangalore
Dec 2017 - Apr 2018 : Visiting Researcher, Ritsumeikan University, Osaka, Japan.
Jul 2017 - Nov 2017 : Visiting Scientist, Indian Statistical Institute, Bangalore
2012 - 2017 : PhD, Indian Institute of Technology Hyderabad
2009 - 2011 : MSc, University of Hyderabad
2006 - 2009 : BSc, Kakatiya University
Received "Jindal Jubilee" Gold Medal from University of Hyderabad in 2011.
Kousik Dhara and Santhosh Kumar Pamula. Pseudo S-spectra of special operators in quaternionic Hilbert spaces. Linear Algebra and its Applications 656:345–367, 2023. URL, DOI
Rajarama B V Bhat, Anindya Ghatak and Santhosh Kumar Pamula. Stinespring's theorem for unbounded operator valued local completely positive maps and its applications. Indagationes Mathematicae 32(2):547–578, April 2021. URL, DOI
Anindya Ghatak and Santhosh Kumar Pamula. A Radon–Nikodým theorem for local completely positive invariant multilinear maps. Linear and Multilinear Algebra 70(21):7115–7141, 2021. URL, DOI
Santhosh Kumar Pamula. Strongly irreducible factorization of quaternionic operators and Riesz decomposition theorem. Banach Journal of Mathematical Analysis 15(1), October 2020. URL, DOI
G Ramesh and P Santhosh Kumar. Spectral theorem for quaternionic normal operators: Multiplication form. Bulletin des Sciences Mathematiques 159, 2020.
P Santhosh Kumar. A note on convexity of sections of quaternionic numerical range. Linear Algebra and Its Applications 572:92-116, 2019.
G Ramesh and P Santhosh Kumar. Borel functional calculus for quaternionic normal operators. Journal of Mathematical Physics 58(5), 2017.
G Ramesh and P Santhosh Kumar. On the polar decomposition of right linear operators in quaternionic Hilbert spaces. Journal of Mathematical Physics 57(4), 2016.