About me
I am an assistant professor in Industrial Engineering and Operations Research (IEOR) at Columbia University. From 20152017 I was an NSF postdoctoral fellow in Applied Mathematics at Brown University, and before that I completed my Ph.D. in 2015 at Princeton University in the department of Operations Research and Financial Engineering (ORFE). My research so far has focused largely on the theory and applications of mean field games, where the areas of interacting particle systems, stochastic control, and game theory intersect. More broadly, I am interested in many topics in probability and mathematical finance. Click here for a complete CV.
Office: Mudd 306
Email: daniel.lacker (at) columbia (dot) edu
Lecture Notes
Notes from my minicourse at the 2018 IPAM Graduate Summer School on Mean Field Games and Applications, titled "Probabilistic compactification methods for stochastic optimal control and mean field games."
Rough lecture notes from the Spring 2018 PhD course (IEOR E8100) on mean field games and interacting diffusion models. Read at your own risk!
Publications and Preprints

On the convergence of closedloop Nash equilibria to the mean field game limit
Preprint. [arXiv]

On a strong form of propagation of chaos for McKeanVlasov equations
Electronic Communications in Probability. [arXiv, DOI]

Dense sets of joint distributions appearing in filtration enlargements, stochastic control, and causal optimal transport
Preprint. [arXiv]

From the master equation to mean field game limit theory: Large deviations and concentration of measure
With François Delarue and Kavita Ramanan. Preprint. [arXiv]

From the master equation to mean field game limit theory: A central limit theorem
With François Delarue and Kavita Ramanan. Preprint. [arXiv]

Mean field and nagent games for optimal investment under relative performance criteria
With Thaleia Zariphopoulou. Preprint. [arXiv]

Rare Nash equilibria and the price of anarchy in large static games
With Kavita Ramanan. Mathematics of Operations Research. [arXiv, DOI]

Limit theory for controlled McKeanVlasov dynamics
SIAM Journal on Control and Optimization. [arXiv, DOI]

A nonexponential extension of Sanov's theorem via convex duality
Preprint. [arXiv]

Mean field games of timing and models for bank runs
With René Carmona and François Delarue. Applied Mathematics & Optimization. [arXiv, DOI]

Liquidity, risk measures, and concentration of measure
Mathematics of Operations Research. [arXiv, DOI]

Law invariant risk measures and information divergences
Preprint. [arXiv]

Translation invariant mean field games with common noise
With Kevin Webster. Electronic Communications in Probability. [arXiv, DOI]

A general characterization of the mean field limit for stochastic differential games
Probability Theory and Related Fields. [arXiv, DOI]
Winner of the 2014 SIAG/FME Conference Paper Prize.

Mean field games with common noise
With René Carmona and François Delarue. Annals of Probability. [arXiv, DOI]

Mean field games via controlled martingale problems: Existence of Markovian equilibria
Stochastic Processes and their Applications. [arXiv, DOI]

A probabilistic weak formulation of mean field games and applications
With René Carmona. Annals of Applied Probability. [arXiv, DOI]

Stochastic differential mean field game theory
My PhD Thesis. [PDF]
Last updated: September, 2018.