Ongoing
Sufficient-statistic estimation for Brownian stock models
Estimating drift and volatility of stock prices modeled as Brownian motion, using exponential-family sufficient statistics for parameter estimation.
I use statistical and computational methods to study complex systems.
Currently a Research affiliate working remotely with the Earth Signals & Systems Group (ESSG) at MIT, where I work on forecasting problems in climate studies.
01 / Research
What I work on, and why.
With the ESSG group, I work on two projects: relevance feedback for Sloop (an animal-biometrics project for tracking individual koalas across large ecosystems) and on operator learning for forecasting. Prior to this, I worked as a Project Associate at IIT Kanpur on extreme-event analysis for meterological parameters. During my Master's in Physics at IIT Guwahati and later at PRL Ahmedabad, I worked on dark matter and collider phenomenology and co-authored two papers in the field!
Broadly, I'm interested in applying statistical ideas to problems in Finance, Economics, and climate. My recent work has involved operator learning, graph networks, and extreme value theory for studying complex systems. The longer story is in my SOP ; case studies are in the projects section below.
- Statistical Methods
- Complex Systems
- Climate
- Finance
- Machine Learning
02 / Projects
Research projects.
Click a category to explore.
Mar 2026 to now
Operator Learning for Forecasting
Neural operators learning solution maps for dynamical systems instead of pointwise predictions.
Sep 2025 to Feb 2026
Extreme-Event Analysis (PM2.5 & Temperature)
Generalized Pareto distributions for tail-risk modeling of pollution and temperature extremes.
Dec 2022 to Aug 2024
M.Sc. Thesis: Leptophilic DM at Future Lepton Colliders
I studied single and multi-component leptophilic Dark Matter (DM) scenarios at future e+e− collider with an Effective Field Theory (EFT) approach.
ThesisSep 2024 to Aug 2025
Inert Doublet Model (IDM) at a Muon Collider
We explore the discovery of the degenerate DM of the IDM, demonstrating that forward muons at a future muon collider can provide a probe of this DM scenario.
arXiv:2508.06289Jun 2024 to Sep 2024
Leptophilic DM with Dirac Neutrinos (EFT)
We study leptophilic DM with light Dirac neutrinos, showing discovery prospects at future lepton colliders and CMB experiments through complementary collider and cosmological signatures. The article is published in the Journal of High Energy Physics (JHEP)!
arXiv:2408.14548Jul 2022 to Jul 2023
Thermoelectric Cloud Chamber
At the Electronics Club of IIT Guwahati, I led a team of 5 Btech students to design and build a Peltier-based cloud chamber to visualize ionizing-particle tracks. We observed electron tracks from a Thalium 204 sample.
Project folder-
26 Aug 2024
Collider and CMB complementarity of leptophilic dark matter with light Dirac neutrinos
Journal of High Energy Physics (JHEP) · Published
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11 Aug 2025
Illuminating Dark Sector of Inert Doublet Model at Muon Collider
Submitted for review · Under review
Get in touch
If any of my research interests align with yours, or if you would like to discuss your own research interests, please feel free to reach out. b.thacker172@gmail.com or bthacker@mit.edu.
Outside of work
You can find me at my personal page .