Sasmita Patnaik

PhD (University of Cincinnati, USA)

Associate Professor, Department of Mathematics and Statistics


Specialization


Research Interest

 

Education

  • PhD, University of Cincinnati, USA
    Ideals and Commutators of Operators
    Gary Weiss, Professor, University of Cincinnati, USA
  • M.Sc., Mathematics, Utkal University, Bhubaneswar, India
  • B.Sc.-B.Ed., Regional Institute of Education, Bhubaneswar, India

Website(s)

CV

  • (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.

Courses taught:

  • (MTH101(R)) Mathematics I

  • (MTH301A) Analysis-I

  • (MTH433A) Real Analysis

  • (MTH404A) Analysis-II

  • (MTH405A) Functional Analysis

  • (MTH635A) An Introduction to Operator Theory

  • (MTH753A) Analysis

  • 1. (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

  • 2. (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

  • 3. (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

  • 4. (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.

  • 5. (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

  • 6. (2016) D. Beltita, Patnaik, and G. Weiss, Cartan subalgebras of operator ideals, Indiana University Mathematics Journal, 65, Number 1, 1–37.

  • 7. (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.

  • 8. (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.

  • 9. (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.

  • 10. (2013) Patnaik and G. Weiss, Subideals of operators, Journal of Operator Theory 70, Number 2, 355–373.

  • 11. (2012) Patnaik and G. Weiss, Subideals of operators II, Integral Equations Operator Theory 74, Number 4, 587–600.

Research Funding

Title

Role

Scheme (SERB)

Amount (INR)

Status (ongoing)

Some Compact Commutator Problems in Operator Theory

Principal investigator

Core Research Grant

25,33,200

January 2021 – December 2024

Problems in operator theory and applications of operator theory to operator algebras

  • 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

  • International workshop Women in Operator Algebras at BIRS (Banff Intermational 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

  • 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


University of Cincinnati Awards:
  • Charles Phelps Taft Dissertation Fellow, 2011-12

  • Taft Graduate Enrichment Award, May 2012

  • Maita Levine Research Grant, Summer 2011

{slider=Contact Information}

Office

Office address: Room number 572
Faculty Building
IIT Kanpur

Office Phone: 0512-259-7972 (O)

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