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Sasmita Patnaik
PhD (University of Cincinnati, USA)
Associate Professor, Department of Mathematics and Statistics
Research Interest
Operator Theory,Problems in operator theory and applications of operator theory to operator algebras
Room number 572
Faculty Building
IIT Kanpur
Specialization
Ideals and Commutators of Compact Operators
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
Teaching Area
MTH101(R)
Mathematics I
MTH301A
Analysis-I
MTH433A
Real Analysis
MTH404A
Analysis-II
MTH405A
Functional Analysis
MTH635A
An Introduction to Operator Theory
MTH753A
Analysis
Selected Publications
(2022) Sasmita 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) 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) 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) Patnaik and G. Weiss, Interplay of simple and selfadjoint-ideal semi- groups in B(H), Operators and Matrices, Volume 15, Number 3, Pages 815–851. doi.org/10.7153/oam-2021-15-56
(2020) 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 geome- try, 2, Pages: 317–326. doi.org/10.1515/9783110656756
(2016) D. Beltita, Patnaik, and G. Weiss, Cartan subalgebras of operator ideals, Indiana University Mathematics Journal, 65, Number 1, 1–37
(2014) D. Beltita, Patnaik, and G. Weiss, Interplay between algebraic groups, Lie algebras, and operator ideals, The varied landscape of operator theory, 77–97, Theta Series Adv. Math., 17, Theta, Bucharest.
(2014) D. Beltita, S. Patnaik, and G. Weiss, B(H)-commutators: a historical survey II and recent advances on commutators of compact operators, The var- ied landscape of operator theory, 57–75, Theta Series Adv. Ma, 17, Theta, Bucharest.
(2014) Patnaik and G. Weiss, Subideals of operators: a survey and introduc- tion to subideal-traces, Operator theory in harmonic and non-commutative anal- ysis, 221–234, Operator Theory Adv. Appl., 240, Birkhuser/Springer, Cham.
(2013) Patnaik and G. Weiss, Subideals of operators, Journal of Operator Theory 70, Number 2, 355–373.
(2012) Patnaik and G. Weiss, Subideals of operators II, Integral Equations Operator Theory 74, Number 4, 587–600.
Awards & Fellowships
University of Cincinnati Awards:
Charles Phelps Taft Dissertation Fellow, 2011-12
Taft Graduate Enrichment Award, May 2012
Maita Levine Research Grant, Summer 2011
Conference Presentations
International conference on Recent Advances in Operator Theory and Operator Algebras (OTOA), December 2018 (to be delivered)
Conference on Functional Analysis at IIT Bombay, October 2017
The Great Plains Operator Theory International Symposium, Texas Christian University Fort Worth, Texas, USA, May 2017
Ramanujan Mathematical Society: 31st Annual Conference, India, June 2016
Complex Geometry and Operator Theory Symposium at ISI Bangalore, December 2015
The 43rd Canadian Operator Symposium on Operator Theory and Operator Algebras, University of Waterloo, Canada, June 2015
Young Women and Mathematics Symposium, IISER Pune, India, July 2014
25th International Conference on Operator Theory, Timisoara, Romania, July 2014
Institute of Mathematics of the Romanian Academy, Bucharest, Romania, June 2014
Special Session on Progress in Noncommutative Analysis of the AMS Western Spring Sectional Meeting, University of New Mexico, Albuquerque, New Mexico, USA, April 2014
Analysis seminar, Indian Institute of Technology, Kanpur, India, January 2014
Thematic Session lecture, Multivariable Operator Theory, International Workshop on Operator Theory and its Applications (IWOTA), Indian Institute of Science, India, December 2013
Mathematics Department Seminar, Indian Institute of Science Education and Research, Bhopal, India, September 2013
Invited lecture, Workshop in Analysis and Probability, Texas A&M University, USA, July 2012
Special session lecture, Great Plains Operator Theory International Symposium, University of Houston, USA, May 2012
University of Cincinnati lectures
Taft Annual Research Symposium, May 2012
Graduate student mathematics seminar, January 2012
Lecture series, University of Cincinnati
Functional Analysis seminar, January-February 2013
Functional Analysis seminar, April-May 2012
Functional Analysis seminar, April-May 2011
Presenter, Graduate Student Poster Forum, University of Cincinnati, USA, March 2012
Professional Experience
(2013-present) Assistant Professor, Department of Mathematics and Statistics, IIT Kanpur
(2013) Assistant Professor, Department of Mathematics, Indian Institute of Science Education and Research (IISER), Bhopal
Adjunct Instructor (January-April 2013) Department of Mathematical Sciences, University of Cincinnati, USA
Conferences
International workshop Women in Operator Algebras at BIRS (Banff International Research Station) November 4-9, Canada, 2018
The Great Plains Operator Theory International Symposium, Texas Christian University Fort Worth, Texas, USA, May 2017
Ramanujan Mathematical Society: 31st Annual Conference, India, June 2016
Complex Geometry and Operator Theory Symposium at ISI Bangalore, December 2015
The 43rd Canadian Operator Symposium on Operator Theory and Operator Algebras, University of Waterloo, Canada, June 2015
Young Women and Mathematics Symposium, IISER Pune, India, July 2014
25th International Conference on Operator Theory, Timisoara, Romania, July 2014
AMS Western Spring Sectional Meeting, University of New Mexico, Albuquerque, New Mexico, USA, April 2014
International Workshop on Operator Theory and its Applications (IWOTA), Indian Institute of Science, Bangalore, India, December 2013
Current Trends in Algebra, Indian Institute of Science Education and Research, Bhopal, India, August 2013
Seminar at Wabash College in Crawfordsville, USA, April 2013
East Coast Operator Algebra Symposium, University of Tennessee, Tennessee, USA, October 2012
WABASH Extramural Modern Analysis International Conference, IUPUI, Indianapolis, September 2012
Concentration week on recent advances in harmonic analysis and spectral theory, Texas A&M University, USA, August 2012
Workshop in Analysis and Probability, Texas A&M University, USA, July– August 2012
Great Plains Operator Theory International Symposium (GPOTS), University of Houston, Houston, USA, June 2012
Tenth Annual Spring Institute on Noncommutative Geometry and Operator Algebras (NCGOA)-Conformal Field Theory and Operator Algebras, Vanderbilt University, Nashville, Tennessee, USA, May 2012
East Coast Operator Algebra Symposium, Purdue University, Indiana, USA, October 2011
WABASH Extramural Modern Analysis International Conference, IUPUI, Indianapolis, Indiana, USA, October 2010
International Congress of Mathematicians (ICM)-Satellite Conference on Operator Theory and Operator Algebras, Indian Statistical Institute, Bangalore, Karnataka, India, August 2010
International Workshop on Operator Theory and Applications (IWOTA), Berlin, Germany, July 2010
26th South-Eastern Analysis Meeting (SEAM), Georgia Institute of Technology, Atlanta, USA, March 2010
Foundations/Logic Annual Seminar, Miami University, Oxford, Ohio, USA, January 2010
Advanced Instructional School (AIS)-Differential and Algebraic topology, Indian Statistical Institute, Kolkata, India, December 2005
Annual Foundation School II (AFS-II), Harish-Chandra Research Institute, Allahabad, India, December 2004
Annual Foundation School I (AFS-I), Indian Institute of Technology, Bombay, India, June 2004
Mathematics Training and Talent Search (MTTS), Regional Institute of Education, Mysore, India, June 2003
International Conference Travel Grants
DST International Travel Support, 2015
NBHM International Travel Support, 2014
GPOTS 2012, National Science Foundation (NSF), University of Houston
NCGOA 2012, NSF, Vanderbilt University
Taft travel grant 2012, University of Cincinnati
Funding
Research Funding
Title: Some Compact Commutator Problems in Operator Theory
Role: Principal investigator
Scheme (SERB): Core Research Grant
Amount (INR): 25,33,200
Status (ongoing): January 2021 – December 2024
Research Visits
Invited at the international workshop Women in Operator Algebras at BIRS (Banff Intermational Research Station) November 4-9, Canada, 2018
Research visit at University of Cincinnati, Ohio, USA, 2017
Short research visit at University of Edwardsville, Illinois, USA, 2017
Short research visit at the Indian Institute of Science, Bangalore, 2016
One week of research visit at the University of Waterloo, Canada, 2015
One week of research visit at the Institute of Mathematics of the Romanian Academy, Bucharest, Romania, 2014