I have been fortunate to have supportive mentors who greatly influenced my personal and professional growth. My experience has inspired me to offer the same to my students. Effective mentorship means recognizing each student’s strengths and challenges, and providing the guidance and resources they need to grow. I aim to foster a learning environment that encourages curiosity, creativity, and academic excellence.
Title: How Do Force Carrying Particles Get Their Masses?
Project Achievements:
Learn about the Higgs mechanism, a process that generates gauge boson mass, which is otherwise forbidden by gauge symmetry.
Explore Higgs Mechanism considering three different gauge symmetries: U(1), SU(2), and SU(2) × U (1).
Evaluate gauge boson masses
Explicitly show how gauge fixing works for each case.
Title: Simulating the Stern-Gerlach Experiment Using Qiskit: A Quantum Computing Approach to Spin Measurement
Project Achievements:
Learn about logic operation used in quantum computers
Letarn to program IBM's Qiskit quantum computing platform
Construct quantum gates to mimick measurement of spin in X, Y and Z direction.
Implement the gates in Qiskit to simulate Stern Gerlach Experiment
Title: How Do Force Carrying Particles Get Their Masses?
Project Achievements:
Learn about the basics of Dark Matter physics.
Learn about particle physics basics: Particle Interaction and Feynman Diagrams.
Learn to use Feyn-calc to evaluate annihilation cross-section for scalar Higgs-portal Dark Matter
Learn to use Mathematica to iteratively solve the Boltzmann Equation and identify the mass of the Dark Matter and its coupling that produces the desired abundance of Dark Matter in the Universe.
Impose the constraint on the Dark Matter's Mass and coupling by the LUX-ZEPLIN experiment.
Awards and Recognition: Sneha's research was supported by Toll and Cater Society Fellowship. She won Physics Department Honors (John S. Toll Award) for her thesis. Sneha presented her findings at Astrophilly-2022, Undergraduate Symposium at Villanova Universtiy.
Title: Cosmic Inflation driven by Higgs Field
Project Achievements:
Learn about the physics of cosmological inflation
Learn about slow-roll inflation driven by a single scalar field. Its success, as well as its predictions, are sensitive to the shape of the potential.
Learn to write a Mathematica code to identify parameters that lead to successful inflation when it is driven by a scalar whose potential is shaped like that of the the Standard Model Higgs.
Impose constraints on the parameters by considering the parameter space ruled out by the non-observation of primordial gravitational waves (predicted by inflation) from the PLANCK experiment.
Awards and Recognition: Tapas' workwas supported by Toll Fellowship.