# Areas of Research

**Algebra:**

This research involves working with number theory and representation theory to understand and model symmetries.

**Anatomy and Physiology:**

This research aims to study the structure and function of tissues, organs and organ systems.

**Astrophysics:**

This research includes ground-based astronomy (using telescopes to understand concepts such as dark energy and universe expansion), theoretical research and cosmology (exploring the origin and evolution of the universe) and space science (study of cosmic rays and satellite research).

**Atomic Physics:**

This field works to understand how atoms and ions are structured as well as excited and de-excited. This is often accomplished through the use of laser spectroscopy and atomic accelerators.

**Bayesian Statistics:**

This field uses the Bayesian methodology (in which hypotheses are assigned probabilities) to analyze results and experimental designs.

**Biochemistry:**

The goal of this field is to understand chemistry from a molecular level, as it relates to living things. This involves the study of proteins, lipids, and other biological components of similar scale.

**Bioinformatics and Biostatistics:**

Statistics and computer methods are used in order to understand, model and predict the behavior of biological systems in this area of research.

**Cancer:**

This research includes the analysis of formation and progression of disease, specifically examining the growth, survival and control of cancer cells.

**Complex Analysis:**

This research examines complex systems (e.g. the climate system, the human brain) with the understanding that the complexity of systems lies not in the summing of individual parts, but in the emergent properties that exist due to interactions between parts.

**Mathematical and Computational Biology:**

This field uses differential equations and stochastic systems (systems influenced by random variations) to better understand biomedical issues such as how infections spread.

**Condensed Matter Physics:**

This field includes the study of semiconductors, magnetic compounds, superconductors and vortices. it also encompasses nanophysics research.

**Biophysics:**

This field examines the structure and development of biological systems, such as cell networks, through the use of various modeling techniques.

**Data Mining:**

This area of study involves modeling, classifying and testing of large data sets.

**Data Privacy:**

This research uses statistical theories and methods to protect individual data.

**Applied Partial Differential Equations:**

This field uses partial differential equations (differential equations that contain multiple unknown variables) and applies them to problems in the sciences and engineering.

**Discrete Math:**

This area of research includes the study of objects that are discrete (composed of distinct, individual parts) rather than continuous, which includes the fields of combinatorics, graph theory and coding theory.

**Development and Regeneration:**

This research examines the growth, regeneration and differentiation of cells and tissues, including the biology of stem cells.

**Ecology and Environmental Biology:**

From terrestrial to aquatic environments, this area of study ranges from the individual behavior of a single organism to the effect of the climate system on entire ecosystems.

**Energy:**

Research in this field looks at the applications and effects of various energy sources, especially those that are sustainable and affordable.

**Entomology:**

This field examines insects in a variety of contexts: from their role as vectors of disease, to their use as model organisms, to research that considers their roles in entire ecosystems.

**Epidemiology and Population Biology:**

This research involves the intersection of two fields, in which the modeling of disease spread and transmission is combined with mathematical modeling of populations

**Evolution:**

Through the study of genomes, research is undertaken to detect species and understand how species differ in their functions and responses to changes in the environment.

**Genetics and Genomics:**

This research aims to understand how genes and their mutations lead to different traits, different species, and different responses to drugs and diseases.

**Differential Geometry:**

This field uses various forms of calculus and algebra to solve problems in geometry.

**Infectious and Vector-Borne Diseases:**

This field examines how infectious diseases are spread, stopped, and experienced by human hosts.

**Inorganic Chemistry:**

This study examines inorganic compounds (compounds that are not carbon, or carbon-hydrogen based) and organometallics (carbon-metal compounds) to identify ways they can be created and used in applications ranging from medicine to agriculture.

**Logic:**

This area of research examines the concepts of computability theory and model theory.

**Microbiology and Immunology:**

This area of research involves the study of single- and multi-celled organisms and how they interact with the immune system to cause disease.

**Neuroscience and Behavior:**

Research in this field involves the examination of how the nervous system responds to various stimuli (smell, taste, pain, etc.) to produce physiological and behavioral responses in organisms.

**Nuclear Physics:**

This research looks at the structure, stability and decay of nuclei. It is used to understand concepts such as: nuclear forces, neutron stars, radioactivity, particle stability and nucleosynthesis.

**Numerical Algebraic Geometry:**

This research works at creating and applying algorithms to better understand systems of polynomials.

**Organic Chemistry:**

This area of study examines organic compounds (compounds containing carbon, and often carbon-hydrogen bonds), their structure, properties, and applications ranging from plastics to pharmaceuticals.

**Partial Differential Equations:**

This field examines differential equations that contain multiple unknown variables and their partial derivatives.

**Elementary Particle Physics:**

This field looks at matter, and interacting forces between matter at the most basic levels. Research involves the study of bosons, mesons, supersymmetry and hidden dimensions, and is often connected to work at the notable CERN Large Hadron Collider.

**Physical/Analytical Chemistry:**

Research in this area of study involves developing theories to understand how chemicals work and react, and how they can be used in materials. The field also involves the creation of methods and instruments for measuring, identifying and quantifying different substances

**Scientific Computing:**

Research in this field involves creating and using algorithms to run on computers and solve problems in engineering and the sciences.

**Sustainability:**

This is the study of how to meet current human needs while ensuring that the future needs of later generations may also be met. It is a highly interdisciplinary field that incorporates themes of ecology, economics, and politics, among other fields.

**Topology:**

This research examines the properties of space that are preserved through deformations that include twisting and stretching. For example, a circle can be thought of to be topologically equivalent to an ellipse, as the circle can be stretched.