Kshitij Kulkarni

I am a third-year Ph.D. student in the Department of EECS at UC Berkeley advised by Prof. S. Shankar Sastry. I am interested in game theory, control, and learning. I enjoy using ideas from dynamical systems and geometry to understand what happens when many intelligent agents are learning and making decisions over time.

Contact: ksk at eecs dot berkeley dot edu

Education

Ph.D. EECS, University of California, Berkeley (in progress)

M.A. Mathematics, University of California, Berkeley (in progress)

M.S. EECS, University of California, Berkeley (in progress)

B.S. Electrical Engineering, Georgia Institute of Technology

Publications and Manuscripts

"Towards a Theory of Maximal Extractable Value I: Constant Function Market Makers", Kshitij Kulkarni, Theo Diamandis, Tarun Chitra, Preprint, 2022, [pdf].

"Inducing Social Optimality in Games via Adaptive Incentive Design", Chinmay Maheshwari, Kshitij Kulkarni, Manxi Wu, and Shankar Sastry, Conference on Decision and Control (CDC), 2022, [pdf].

"DeFi Liquidity Management via Optimal Control: Ohm as a Case Study", Tarun Chitra, Kshitij Kulkarni, Guillermo Angeris, Alex Evans, Victor Xu, Preprint, 2022, [pdf].

"Dynamic Tolling for Inducing Socially Optimal Traffic Loads", Chinmay Maheshwari*, Kshitij Kulkarni*, Manxi Wu, and Shankar Sastry, American Control Conference(ACC), 2022, [pdf].

Workshop Publications

"Social Choice with Changing Preferences: Representation Theorems and Long-Run Policies", Kshitij Kulkarni and Sven Neth, Workshop on Consequential Decision-Making in Dynamic Environments, NeurIPS, 2020, [pdf].

Course Notes

ECON 201A Consumer Theory

ECON 201A General Equilibrium

MATH 240 Riemannian Geometry

Work Experience

D.E. Shaw & Co., Proprietary Trading Intern, Summer 2019

Citadel, LLC., Trading Intern, Summer 2018

Miscellanea

Some theorems/results I particularly enjoy thinking about:

1. Ricci curvature comparison

2. The existence and uniqueness theorem for solutions of ODEs

3. Existence of pure strategy Nash equilibria in potential games

4. Lyapunov's theorems

5. Fixed point theorems, although there are too many to list here

Fascinating mathematical objects:

1. The middle-thirds Cantor set

More to come...

Free Hit Counter