Research Associate
Industrial Engineering and Operations Research,
Indian Institute of Technology Bombay, Mumbai, India.
Academic Background
- M.Sc-Ph.D. Dual Degree (Operations Research) in IEOR @ IIT Bombay. 2009-Present.
- M.Sc. in Statistics (Special Paper: Econometrics ). Utkal University, Bhubaneswar. 2003-05.
- B.Sc. in Physics, Chemistry and Mathematics. Utkal University, Bhubaneswar, 2000-03.
Supervisor
Current Research Interests
- Geometry of Mixed Integer Hulls of Convex Sets.
- Characterization of Convex and Concave Envelopes of Nonlinear Functions.
Journals
- U. Pattanayak & V. Narayanan, Intersection Cuts for Convex Mixed Integer Programs from Translated Cones, Disctete Optimization, 24:103-128, 2017.
- U. Pattanayak & V. Narayanan, Geometry of integer hulls of strictly convex sets (to be submitted).
Conferences
- U. Pattanayak & V. Narayanan. Geometry of integer hulls of strictly convex sets, Presented at International Symposium on Operations Research and Game Theory: Modeling and Computation. ISI Delhi Centre, India, 2018.
- U. Pattanayak & V. Narayanan, Intersection Cuts for Convex Mixed Integer Programs from Translated Cones, Presented at SIAM (Society for Industrial & Applied Mathematics) Conference on Optimization, Vancouver, Canada, 2017.
- U. Pattanayak & V. Narayanan, Local Polyhedrality of Integer Hulls of Strict Convex Sets, Presented (poster) at Mixed Integer Programming Workshop, University of Miami, USA, 2016.
- U. Pattanayk & V. Narayanan, Local Polyhedrality of Integer Hulls of Strict Convex Sets, Presented at SIAM Conference on Discrete Mathematics, Georgia State University, USA, 2016.
- U. Pattanayak & V. Narayanan, Local Polyhedrality of some Integer Hulls, Presented at Game Theory and Optimization Conference. IIT Madras, 2016.
- U. Pattanayak & V. Narayanan. Intersection cuts for Convex Integer Programs from Translated cones, Presented at International Symposium on Mathematical Programming, Pittsburgh, USA, 2015.
- U. Pattanayak & V. Narayanan, Local Polyhedral Property of some Integer Hulls, Presented at International Symposium on Mathematical Programming. Pittsburgh, USA, 2015.
- U. Pattanayak & V. Narayanan, Intersection Cuts for Convex Integer Programs, Presented at 3rd Winter School on Optimization and Control, IIT Bombay, 2014.
Events Attended
- ATMW Applied Probability. IIT Bombay, 2016.
- Wokshop on Game Theory and Mechanism Design. IISc Bangalore, 2016.
- Supply Chain Practitioners Council (Customer Service Excellence). Edition 2.0, Mumbai Chapter, 2016.
Subjects of Interest
- Real Analysis, Linear Algebra, Topology.
- Convex Analysis, Variational Calculus.
- Convex Geometry, Discrete Geometry, Geometry of Numbers.
- Linear and Nonlinear Optimization.
- Convex and Nonconvex Optimization.
- Discrete and Continuous Optimization
- Numerical Optimization, Bilevel optimization
- PDE-constrained optimization, Combinatorial Optimization
- Integer and Mixed Integer Programming.
- Polyhedral Theory, Graph Theory.
- Submodular functions and Polymatroids.
- Measure Theory, Probability and Statistics.
- Stochastic Optimization, Bayesian Optimization
- Machine Learning, Uncertainty Quantification.
- Game Theory and Mechanism Design.
- Optimization Techniques for Inverse Problems.
- Queueing Theory, Information Theory.
- Discrete Event System Simulation.
- Algorithms and Complexity.
Teaching Assistant
- Optimization Models (Autumn 2011, Autumn 2013)
- Optimization Techniques (Autumn 2012, Autumn 2014)
- Decision Analysis and Game Theory (Spring 2012)
- Linear Systems (Spring 2013)
- Network Flow Models and Applications (Spring 2014)
- Polyhedral and Combinatorial Optimization (Spring 2015)
Contact
E-mail id : umakanta@iitb.ac.in
Alternate e-mail id : umakanta.iitb@gmail.com
IEOR Lab : (022) 2576 4807