Dr. Dipti Dubey | Department of Mathematics

Profile

Dr. Dipti
Dubey
Assistant Professor
Department of Mathematics
School of Natural Sciences (SNS)
A111N, Shiv Nadar University
India
Extn: 
187
Profile Summary 

Dr. Dipti Dubey received her PhD from Indian Institute of Technology Delhi. Following that, she was a Post-Doctoral Fellow at Indian Statistical Institute, Delhi Centre. Her research interests lie broadly in the area of Mathematical Programming and Game Theory. Her current research is mainly focused in the area of Linear Complementarity Problem which is a unified framework to study Linear Programming, Convex Quadratic Programming, and Game Theory. She is also interested to apply her research to challenging scientific, industrial, economic and environmental problems.

Educational Qualifications 
2014
Ph.D.
Indian Institute of Technology, Delhi
Work Experience 
04/14
11/19
Post-doctoral Fellow,
Indian Statistical Institute,
Delhi Centre
07/19
08/19
Visiting Assistant Professor,
Department of Mathematics, Ashoka University,
Sonipat
01/19
05/19
Visiting Assistant Professor,
Department of Mathematics, Ashoka University,
Sonipat
Teaching & Research Interests: 

Linear Complementarity Problem and its Applications in Economics and Finance, Stochastic Games, Matrix analysis with Application in Optimization Theory.

Scholarly Activity

Selected Publications:

 Dipti Dubey, S. K. Neogy, On testing nonnegativity of principal minors of Z-matrices using simplex method, Annals of Operations Research,  https://doi.org/10.1007/s10479-021-04095-z (2021)
 Dipti Dubey, S. K. Neogy, On solving a quadratic programming problem involving resistance distances in a graph, Annals of Operations Research, 287, 643–651, 2020
 Dipti Dubey, S. K. Neogy, Total dual integrality and integral solutions of linear complementarity problem, Linear Algebra and its Applications, 557, 359–374, 2018
 Dipti Dubey, S. K. Neogy, On generalizations of positive subdefinite matrices and the linear complementarity problem, Linear and Multilinear Algebra, 66, 2024-2035, 2018
 Dipti Dubey, S. K. Neogy, Debasish Ghorui, Completely mixed strategies for generalized bimatrix and switching controller stochastic game, Dynamic Games and Applications, 7, 535–554, 2017
 David Bartl, Dipti Dubey, A discrete variant of Farkas' lemma, Operations Research Letters, 45, 160-163, 2017
 Dipti Dubey, S. K. Neogy, On hidden Z-matrices and the linear complementarity problem, Linear Algebra and its Applications, 496, 81–100, 2016

BOOKS
 S.K. Neogy, R.B. Bapat, Dipti Dubey, Mathematical Programmingand Game Theory (Research Monograph), published inthe Indian Statistical Institute Series, Springer, 2018.