I was born in Houston, Texas, but spent my childhood abroad in Spain and Singapore.
I majored in physics and chemistry at Rice University, and recieved my Ph.D.
in physics at University of Wisconsin-Madison, and worked as a postdoc at
Max-Plank-Institut fuer Kernphysik in Heidelberg, Germany.

Department of Physics
422 Lederle Graduate Research Tower
University of Massachusetts-Amherst
Email: hhpatel (a) umass (dot) edu

Research

I have a broad range of interests in theoretical physics. Generally, I am interested in developing new computational methods to efficiently and consistently solve
difficult problems in high energy phyiscs. I'm simultaneously interested in the conceptual and technical aspects
of quantum field theory.

Automation of Higher Order Perturbative Calculations

In recent decades, the precision of both low and high energy experiments in elementary particle physics
has reached a level where higher order perturbative corrections are essential. However, performing such
calculations is time consuming and repetitive. I am developing an efficient symbolic integrator,
Package-X for Mathematica,
that computes Feynman loop integrals frequently encountered at higher orders
in perturbative field theory. I invent new and build upon existing algorithms to efficiently evaluate these
integrals. In addition to being used in research, it is also serves as an educational
tool. My long term vision for Package-X is for it to serve as a kind of
"Gradshteyn and Ryzhik" for Feynman loop integrals.

Studying the Electroweak Phase Transition

The 2012 discovery of the Higgs boson by the ATLAS and CMS collaborations at
the Large Hadron Collider established the Higgs mechanism as the principal
source of electroweak symmetry breaking, and its existence implies the Universe
underwent a "cosmic" phase trasition less than a second after Big Bang.
Such an event may have far-reaching implications in cosmology, such as generating gravity waves
or explaining the observed particle/antiparticle asymmetry, especially
if more bosons like the Higgs exist in nature. However, calculations attempting to
infer early universe phenomenology are plagued with theoretical inconsistencies and
computational uncertainties. I am actively working on refining methods of analysis
to address these problems so that calculations can be placed on firmer footing.