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.

Here is the website for my blog, where I write about what's currently interesting me: Blog

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)

B.S. Electrical Engineering, Georgia Institute of Technology

Publications and Manuscripts

"Dynamic Tolling for Inducing Socially Optimal Traffic Loads", Chinmay Maheshwari*, Kshitij Kulkarni*, Manxi Wu, and Shankar Sastry, American Control Conference, 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...