Sasmita Patnaik

Academic positions:

• Associate Professor, Department of Mathematics and Statistics, IIT Kanpur, India   (Jul. 2021 - Present)

• Assistant Professor, Department of Mathematics and Statistics, IIT Kanpur, India   (Dec. 2013 - Jun. 2021)

• Assistant Professor, Department of Mathematics, IISER Bhopal, India   (Aug. 2013 - Dec. 2013)

• Adjunct Instructor, Department of Mathematical Sciences, University of Cincinnati, USA  (Jan. 2013 - Apr. 2013)

Education:

• Ph.D. Mathematics, University of Cincinnati, USA, 2012

• M.Sc. Mathematics, Utkal University, Bhubaneswar, 2004

• B.Sc.-B.Ed., Regional Institute of Education, Bhubaneswar, 2002

Research Area:  Operator Theory

Publications:

• (2024) S. Patnaik, Sanehlata, and G. Weiss, Singly generated Selfadjoint-Ideal operator semigroups: spectral density of the generator and simplicity, to appear in Operators and Matrices

•  (2024) J. Loreaux, S. Patnaik, S. Petrovic, and G. Weiss, On commutators of compact operators: generalizations and limitations of Anderson's approach, Integral Equations and Operator Theory, doi.org/10.1007 s00020-024-02764-9

•  (2023) S. Patnaik, Sanehlata, and G. Weiss, Automatic Selfadjoint-ideal Semigroups for Finite Matrices, Linear Algebra and its Applications. https://doi.org/10.1016/j.laa.2023.07.007

•  (2022) S. Patnaik, On Simplicity of Lie Algebras of Compact Operators: A Direct Approach, Journal of Mathematical Analysis and Applications, Volume 510, Issue 1. doi.org/10.1016/j.jmaa.2022.126012 

•  (2021) J. Loreaux and S. Patnaik, Closedness of the orbit-closed C-numerical range and submajorization, Linear and  Multilinear Algebra, to appear,  doi.org/10.1080/03081087.2021.1984378 

•  (2021) J. Loreaux and S. Patnaik, Convexity of the orbit-closed C-numerical range and majorization, Linear and  Multilinear Algebra, to appear, doi.org/10.1080/03081087.2021.1895702 

•  (2021) S. Patnaik and G. Weiss, Interplay of simple and selfadjoint-ideal semigroups in B(H), Operators and Matrices, Volume 15, Number 3, Pages 815-851, doi.org/10.7153/oam-2021-15-56 

•  (2020) 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, 2, Pages: 317-326, https://doi.org/10.1515/9783110656756

• (2016) D. Beltita, S. Patnaik, and G. Weiss, Cartan subalgebras of operator ideals, Indiana University Mathematics Journal, 65, no. 1, Pages 1-37. 

• (2014) D. Beltita, S. Patnaik and G. Weiss, Interplay between algebraic groups, Lie algebras, and operator ideals, The varied landscape of operator theory, Theta Series Advanced Mathematics, 17,  Pages 77-97. 

• (2014) D. Beltita, S. Patnaik and G. Weiss, B(H)-commutators: a historical survey II and recent advances on commutators of compact operators, The varies landscape of operator theory, 17, Pages 57-75

• (2014) S. Patnaik and G. Weiss, Subideals of operators: a survey and introduction to subideal-traces, Operator theory in harmonic and non-commutative analysis, 240, Pages 221-234.

• (2013) S. Patnaik and G. Weiss, Subideals of operators, Journal of Operator Theory, 70, no. 2, Pages 355-373.

• (2012) S. Patnaik and G. Weiss, Subideals of operators II, Integral Equations Operator Theory, 74, no. 4, Pages 587-600.

Sponsored project: Core Research Grant (CRG), SERB, 2020-23