Nathaniel Craig

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Particle Theory @ UC santa barbara

I lead the particle theory group at the University of California, Santa Barbara, where I work alongside a constellation of amazing postdocs, graduate students, and undergraduates. Our work is primarily supported by the Department of Energy and the National Science Foundation (via the Kavli Institute for Theoretical Physics). My publications can be found on INSPIRE or Google Scholar.

Particle physics seeks to understand the elementary constituents of matter, the forces that bind them, and the organizing principles that unite them. Recent decades have seen tremendous progress towards these goals, culminating in the 2012 discovery of the Higgs boson at the Large Hadron Collider (LHC) and the completion of the Standard Model. The broad objective of my research is to reveal the fundamental physics underlying the Standard Model by pioneering new approaches to some of the biggest open questions: the origin of mass, the unification of forces, the nature of dark matter and dark energy, and the patterns of Standard Model parameters, among many others. I’ve pursued this program using tools from across the spectrum of theoretical physics, from formal methods of quantum field theory to cosmology and collider phenomenology. My research has leveraged the Higgs boson as a tool for new discoveries, motivated the next generation of colliders, and transformed the landscape of physics beyond the Standard Model by discovering new theories that explain the breaking of electroweak symmetry.

Particle theory in the 21st century makes contact with a host of other fields, including condensed matter physics; atomic, molecular, and optical physics; nuclear physics; astrophysics; cosmology; mathematics; and computer science. In recent years, my group's research has expanded to include the mathematical field of optimal transport, machine learning for physics, and physics for machine learning.         

From 2020-2022 I was a co-convener of the Theory Frontier in the APS DPF Snowmass process, the decadal survey of particle physics; our work resulted in an official recommendation to increase DOE particle theory funding by 30%. I currently lead the Particle Theory Initiative at the Kavli Institute for Theoretical Physics, where we work to strengthen connections both between the different facets of particle physics and with the many other fields that particle physics intersects.

Education

  • AB summa cum laude, Physics, Harvard University (2005)
  • PhD, Physics, Stanford University (2010)
  • Member, Institute for Advanced Study (2010-2013)
  • 5-year Postdoctoral Fellow, NHETC, Rutgers University (2010-2014)
  • Assistant Professor, UC Santa Barbara (2014-2018)
  • Associate Professor, UC Santa Barbara (2018-2024)
  • Professor, UC Santa Barbara (2024-present)

Leadership

  • Director, KITP Particle Theory Initiative (2023-2028)
  • Member at large, APS DPF Executive Committee (2025-2028)
  • PRD Editorial Board (2020-2026)
  • Advisory Board, Mainz Institute for Theoretical Physics (2025-2028)
  • Dean's Advisory Committee, MIT LNS (2024-2030)
  • Convener, Theory Frontier, APS DPF Snowmass 2021 (2020-2022)

Awards

  • Buchalter Cosmology Prize, 2nd Prize (2024)
  • Cottrell Scholar Award (2018)
  • DOE Early Career Award (2015)
  • NSF Graduate Research Fellowship (2005-2010)
  • NDSEG Fellowship (2005-2008)
  • APS LeRoy Apker Award (2005)
  • Barry M Goldwater Scholarship (2004)
  • Jacob Wendell Prize (2002)

In the News

Research Highlights

Muon Smasher's Guide

We make the case for future high-energy muon colliders, analyzing their ability to probe electroweak symmetry breaking, search for dark matter and other new particles, and address key questions in fundamental physics.

Press: 

Scientific American

Science 

 

High-Quality Axions from Higher-form Symmetries

 We explore how higher-form symmetries in five-dimensional gauge theories can protect axion potentials, offering a novel mechanism to address the strong CP problem and generate high-quality axions.

 

No nus is Good News     

We analyze recent cosmological data to place stringent upper limits on the sum of neutrino masses, revealing a surprising preference for near-zero or even negative effective neutrino masses, which may point to new physics. 

Press: 

 Science News

Astrobites

Neural Network Effective Theories

We develop a diagrammatic approach to effective field theories for deep neural networks at initialization, revealing a universal criticality condition governing all connected correlators of neuron preactivations.