Optical methods, including light and fluorescence microscopies, have seen widespread
application in the characterization of materials and biology, but are not equally applicable to all
such systems. This dissertation aims to describe new developments in select optical methods, and
their subsequent application to answering scientific questions about material and biological
systems that were intractable using previous methodologies. We first develop a novel label-free
interference-based optical method for characterizing thin films on transparent substrates and
subsequently apply it to reveal reaction dynamics of graphene films in real time. We next
develop novel methods in a different optical technique, point-localization super-resolution
fluorescence microscopy. These include the application of spectrally-resolved super-resolution
microscopy to organic adlayers on surfaces and the development of a remote focusing technique
to image oblique planes through thick biological samples. We then combine our developments in
optical methods and super-resolution microscopy to describe a novel correlative super-resolution
imaging methodology, and overview the challenges and opportunities inherent to correlative
super-resolution methods. We conclude with concrete applications of super-resolution
fluorescence microscopy to biological systems and shed light on long-standing biological
questions. These include elucidation of the structure of meiotic chromosome axes in C. Elegans,
a mechanism for crossover-interference and crossover-regulation in the same meiotic
chromosomes, discovery of a novel structural arrangement for nuclear pore complexes in meiotic
cells, and discovery of a tube-shaped structure spanning the nucleus of breast cancer-like cells.