Anusuya Ghosh

Research scholar

Supervisor

Prof. Vishnu  Narayanan

Thesis title : Semidefinite representation of convex sets

 
Recent research Area

• Semidefinite representation of convex sets.
• LMI representation of convex set defined by quadratic polynomials.

Publications

• A. Ghosh, V. Narayanan, "Compactly Semidefinite Representable Sets and  Conditions for Semidefinite Representation",  Journal of Convex Analysis  submitted,  (PDF)
• A. Ghosh, V. Narayanan, "Construction of Semidefinite Representation of Convex Body from its Projections". (in preparation)
• A. Ghosh, V. Narayanan, "Approximation of Convex Set by Semidefinite Representable Set". (in preparation)

Conferences, Workshops

• A. Ghosh, V. Narayanan, " Characterizations of semidefinite representable sets",  In Proceedings of International Symposium on Applied Optimization and Game Theory Models, January 9 - 11, 2013, ISI Delhi, India. ( PDF )
• A. Ghosh, V. Narayanan, "New sufficient conditions for semidefinite representability of convex sets",  International Conference on Operations Research for Data Analysis and Decision Analysis, October 21 - 23, 2013, Srinagar, India.  ( Poster )
• International Workshop on Optimization Techniques and Softwares, October 19 - 22, 2013, Srinagar, India. 
• A. Ghosh, V. Narayanan. "Convex sets with semidefinite representable sections and projections", SIAM Conference on OPTIMIZATION, May 19 - 22, 2014, San Diego, California, USA. ( Abstract )  ( Achieved SIAM Student Travel Award ).
• A. Ghosh, V. Narayanan. "Characterization of convex sets which are semidefinite representable at infinity", SIAM Conference on DISCRETE MATHEMATICS, June 16 - 19, 2014, Minneapolis, Minnesota, USA. ( Abstract ).
• Workshop on Applied Optimization Models and Computation, January 28 - 30, 2015, ISI Delhi, India.
• A. Ghosh, V. Narayanan. Talk on "Convex cone with semidefinite representable sections", 22nd International Symposium on Mathematical programming, July 12 -1 7, 2015, Pittsburgh, USA.

 Other articles

•  Boolean functions and Cryptography, Technical report, Applied Statistical Unit, Indian Statistical Institute Calcutta, 2008,  with Prof. Bimal Kumar Roy  ( Internship ).
• Visual Cryptography for Black and White Images, Technical report, Mathematics Departmant, Indian Institute of Technology Kharagpur, with Dr. Soumen Maity ( Best project of IITKharagpur, 2009 ) . 

 Research interests

1. Optimization,
2. Statistical modelling,
3. Mathematical programming ,
4. Convex analysis.
5. DIscrete event simulation

Teaching Assistant

• Linear System - January 2010 - May 2010
• Optimization Technique - July 2010 - December 2010
• Markov Decision Process - January 2011 - May 2011
• Optimization Technique -  July 2011 - December 2011
• Integer Programming : Theory and Computations - January 2012 - May 2012
• Optimization Technique - July 2012 - December 2012
• Linear System - January 2013 - May 2013
• Optimization Technique - July 2013 - December 2013
• Linear System - January 2014-May 2014

Academic background

• M. Sc in Mathematics - IIT Kharagpur (2009)
• B. Sc in Mathematics - Bethune College ,Calcutta University (2007)

Other interests

Painting, Travelling and Trekking, Writing, Cooking.

Contact