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Jeffrey Case

Jeffrey Case — Professor — Faculty
Office: 221 McAllister McAllister
Address: 109 McAllister
jqc5026@psu.edu
+1 814 865 0326
Jeffrey Case
Math Mathematical Structures CFT

My work focuses on geometric and analytic questions on conformal manifolds, including their immersed submanifolds. I recently derived explicit formulas for the renormalized volume of an even-dimensional Poincare-Einstein manifold and the renormalized area of an even-dimensional minimal submanifold of a Poincare-Einstein manifold; my approach also computes many other renormalized quantities. I am currently working on projects which aim to apply these formulas to questions about the moduli spaces of Poincare-Einstein manifolds and their minimal submanifolds.

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About our wordmark
Monica Rincon Ramirez

The IGC wordmark was created by Monica Rincon Ramirez while she was a graduate student at the Institute. Monica enjoys drawing new connections between fundamental theory and observations. Her graduate work included general relativity, loop quantum gravity, and quantum fields in cosmological backgrounds; her thesis focused on effective quantum corrections to gravitational phenomena from spinfoams and applications to cosmology. She received her PhD in 2024.

The wordmark symbolizes the scope of research at the IGC. The base represents quantum gravity, evoking the quantum geometrical picture from spinfoams and loop quantum gravity — approaches studied at the Center for Fundamental Theory. The middle shows galaxies embedded in a smooth surface characteristic of spacetime in general relativity and the larger physical scales studied at the Center for Theoretical and Observational Cosmology. The top curves to an extreme representing a supermassive black hole accompanied by an energetic jet, with a binary black hole pair nearby — the high-energy phenomena studied at the Center for Multimessenger Astrophysics.