
BCFW Recursion Relations
Spinors, helicity and representations. The spinor helicity formalism and its representation free and Lorentz invariant description of scattering amplitudes. Explicitly used them in calculation of scattering amplitudes in Yukawa theory
and ngluon tree amplitudes in YangMills (ParkeTaylor). The construction of BCFW, its usage and its application for the proof of ParkeTaylor formula.
Reading was primarily from Elvang's paper (arXiv: 1308.1697) on 'Scattering Ampltidues' and BCFW's paper (arXiv: 0501052)
on 'Direct Proof Of TreeLevel Recursion Relation In YangMills Theory'.

Renormalization, Regularization & Beta functions
I predominantly read about classification of divergences arising in $\phi^4$ theories, using $n$PI reducible & irreducible diagrams and superficial degrees of divergence. Regularization to compute the exact form of infinities at loop
level in scattering amplitidues. The infinites arising as simple poles upon dimensional regularization. Loop corrections by adding counter terms upto $O(w)$. Bare and renormalized parameters, running coupling constants. The relation
between, energy scale, coupling paramters and the $\beta$ function, Landua point, scheme independence of renormalization. Quantization in nonAbelian gauge theories, gauge fixing, faddeevpopov ghosts. Computation of one loop
corrections and counter terms in Yangmills, QED. Coulping of QED becomes strong at high energy scales, Yangmills asymptotically free at large energy scales. Ward identities and BRST symmetry, BRST symmetry as a cohomology to reduce
formal fock space $\mathcal{F}$ to physical hilbert space \mathcal{H}.
Reading was primarily from Pierre Ramod's Field Theory: A Modern Primer and notes by Dr.Kaplunovsky.

Introduction to Supersymmetry
Why are we interested in symmetries, Wigner's theorem, irreducible representations as particles, representation theory of the Lorentz (spinors) and Poincaré group. The spinor algebra, conventions, manipulation and its
representation.The nogo theorems of ColemanMandula and its extension by HaagLopuszanskiSohnius Theorem. The supersymmetry algebra, superchargers in particular, $\mathcal{N}=1$ and $\mathcal{N}=2$ algebra, its massive and massless
representations. Properties of the algebra, such as manifestly positive energy states, superpartners have equal mass,and degrees of freedom on bosonic and fermionic states.
Reading was primarily from lecture notes by Bertolini, Argyres and Arguiro and from the following books, 'Introduction to Supersymmetry' by Wiedeman and 'Introduction to Supersymmetry & Supergravity' by Wess & Bagger.

Topological Solitons & Monoples in nonAbelian Gauge theories
Manifolds, Langrangians on curved spaces, solving for EOM on manifolds, Spontaenous Symmetry breaking in various theories, Gldstone's theorem. In particular, Higg's field, Higg's boson and the Higg's mechanism, Introduction to Homotopy
theory, homotopy groups, theorems of $\pi_n(Y)$ and $\pi_2(G/H) as a subgroup of $pi_1(H)$. SOlitons and kinks in $\phi^4$ and sinegordon theory. Mathematical understanding of Gauge theory, topolgoical degree, monopoles in $SU(2)$
Gauge theory of Yangmills on Eucledian & 4D flat manifolds.
Reading was primarily from 'Topological Solitons' by Nicholas Manton.

NonAbelian Gauge Theories
Noether's theorem, internal symmetries, gauge fields, the covariant derivative,gauge field from the comparator local invariance of comparator implies existance of $F_{\mu\nu}$, gauge boson, minimal coupling prescription. Lagrangian of
$SU(2)$ and arbitrary $SU(n)$ Yangmills theory. The $SU(N)$ internal symmetry as a lie group generated by a lie algebra $\mathfrank{su(n)}$. The explcit form of gauge fields and field strength tensor in these theories.
Reading was primarily from 'An introduction to Quantum Field Theory' by Peskin & Shroeder and 'Quantum Field Theory' by Mark Srednicki.

Novel black hole bound states and entropy
A reading project I undertook after self studying the preminilaries from Dirac's General Theory of Relativity. This project required very little understanding of GR. It was primarily Self Adjoint Analysis of Laplacian operator on a
restricted domain for finding the bound state solutions of the timeindependent Schroedinger Schrödinger's Equation.
The primary reference was 'SelfAdjoint extensions of Quantum Mechanics' by Gitman.

Entropic Gravity
This was a self reading project. I tried to understand the works on the much debated results of Eric Verlinde on Gravity as an emergent theory 1001.0785. This was disproved
by Matt Visser in 1108.5240. However, Prof. Padmandabhan's approach to emergent gravity was consideraly different 1410.6285.
I had formulated a few questions and got them clarified over email from the authors.