Sasmita Patnaik
Associate Professor, Department of Mathematics and Statistics
Department of Mathematics and Statistics
Indian Institute of Technology Kanpur
Kanpur-208016, India
Office: FB-572
Phone: 91-512-2597972 (Office)
Email: sasmita[AT]]iitk.ac.in
Education:
| Ph.D. Mathematics (December 2012): Thesis: Ideals and Commutators of Operators |
University of Cincinnati, Cincinnati USA |
| M. Sc. in Mathematics (June 2004): | Utkal University, Bhubaneswar, Odisha, India |
| B.Sc.- B.Ed. (April 2002): | Regional Institute of Education, Bhubaneswar, Odisha, India |
Professional Experince:
| Aug. 2021- Present : | Associate Professor, Indian Institute of Technology, Kanpur Department of Mathematics and Statistics |
| Dec. 2013 - Jul. 2021 : | Assistant Professor, Indian Institute of Technology, Kanpur Department of Mathematics and Statistics |
| Aug. 2013 - Nov. 2013 : | Assistant Professor, Indian Institute of Science Education and Research (IISER), Bhopal Department of Mathematics |
| Jan. 2013 - Apr. 2013 : | Adjunct Instructor, University of Cincinnati Department of Mathematical Sciences, Ohio, USA |
Publications:
S. Patnaik, Sanehlata, and G. Weiss, Singly generated selfadjoint-ideal semigroups: spectral density of the generator and simplicity, Operators and Matrices (2024), Volume 18, no.2, 479-522
J. Loreaux, S. Patnaik, S. Petrovic, and G. Weiss, On commutators of compact operators: generalizations and limitations of Anderson’s approach, Integral Equations Operator Theory (2024), no. 2, Paper No. 16, 28 pp.
S. Patnaik, Sanehlata, and G. Weiss, Automatic selfadjoint-ideal semigroups for finite matrices, Linear Algebra and its Applications 676 (2023), 211-240
S. Patnaik, On Simplicity of Lie Algebras of Compact Operators: A Direct Approach, Journal of Mathematical Analysis and Applications (2022), Volume 510, Issue 1. doi.org/10.1016/j.jmaa.2022.126012
J. Loreaux and S. Patnaik, Closedness of the orbit-closed C-numerical range and submajorization, Linear and Multilinear Algebra (2021). doi.org/10.1080/03081087.2021.1984378
J. Loreaux and S. Patnaik, Convexity of the orbit-closed C-numerical range and majorization, Linear and Multilinear Algebra (2021), doi.org/10.1080/03081087.2021.1895702
S. Patnaik and G. Weiss, Interplay of simple and selfadjoint-ideal semigroups in B(H), Operators and Matrices (2021), Volume 15, Number 3, Pages 815–851. doi.org/10.7153/oam-2021-15-56.
S. Patnaik, S. Petrovic, and G. Weiss, Universal Block Tridiagonalization in B(H) and Beyond, Special volume dedicated to “The mathematical legacy of Victor Lomonosov,” Operator Theory series: Advances in Analysis and geometry (2020), 2, Pages: 317–326. doi.org/10.1515/9783110656756
D. Beltita, S. Patnaik, and G. Weiss, Cartan subalgebras of operator ideals, Indiana University Mathematics Journal (2016), 65, Number 1, 1–37.
D. Beltita, S. Patnaik, and G. Weiss, Interplay between algebraic groups, Lie algebras, and operator ideals, The varied landscape of operator theory (2014), 77–97, Theta Series Adv. Math., 17, Theta, Bucharest.
D. Beltita, S. Patnaik, and G. Weiss, B(H)-commutators: a historical survey II and recent advances on commutators of compact operators, The varied landscape of operator theory (2014), 57–75, Theta Series Adv. Math., 17, Theta, Bucharest.
S. Patnaik and G. Weiss, Subideals of operators: a survey and introduction to subideal-traces, Operator theory in harmonic and non-commutative analysis (2014), 221–234, Operator Theory Adv. Appl., 240, Birkhuser/Springer, Cham.
S. Patnaik and G. Weiss, Subideals of operators, Journal of Operator Theory 70 (2013), Number 2, 355–373.
S. Patnaik and G. Weiss, Subideals of operators II, Integral Equations Operator Theory 74 (2012), Number 4, 587–600.