Displaying 1-12 of 18 Results
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PI Michael Topper
- Algebraic topology. Specific Special interests include homotopy and fiber spaces. My field of interest is within the area of algebraic topology, called homotopy theory. Roughly, it is a study of deformation from one topological space to another. Homotopy fiber is a part of a construction that associates a fibration to an arbitrary continuous function of topological spaces. The concept of fiber space is crucial in homotopy theory.
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We first show that a derivation studied recently by E. Christensen has a set of analytic elements which is strong operator topology-dense in the algebra of bounded operators on a Hilbert space, which strengthens a result of Christensen. Our second main result shows that this derivation has kernel stabilization, that is, no elements have derivative eventually equal to 0 unless their first derivative is 0. As applications, we (1) show that a family of derivations on C*-algebras studied by Bratteli and Robinson has kernel stabilization, and (2) we provide sufficient conditions for when two operators which satisfy the Heisenberg Commutation Relation must both be unbounded.
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PI Brian Rachford
CO-I Nicholas Devereux
CO-I Andri Gretarsson
- Items of interest in this area include the evolution of stars; the large-scale structure of galaxies; the search for dark matter (e.g., black holes, massive neutrinos, and exotic particles); and unusual compact objects such as pulsars, quasars, and magnetars.
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PI Pragati Pradhan
CO-I Brian Rachford
CO-I Noel Richardson
- Astronomy is one of the oldest sciences, as people have been observing and learning from the stars for thousands of years. Astronomy has expanded beyond visible light to include the full spectrum of electromagnetic waves, from radio to x-rays and gamma rays, as well as cosmic messengers beyond the electromagnetic spectrum.
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PI Darrel Smith
CO-I Brennan Hughey
- In the 1950s and 1960s, high-energy and cosmic-ray physics developed into two different fields of research. However, in the last 20 years, they have come together in a most peculiar way. As space physicists explored the sources and mechanisms for producing cosmic rays, they also realized that it was impossible to measure the dynamics of the early universe (i.e., the first 400,000 years).
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PI Romeo Thomas
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Specific interests include topological entropy and shadowing properties. My field of interest is “Smooth Dynamical Systems” (Phenomenon that changes with time). In order to study the “Dynamical Systems” we need to study the "Topological Entropy" and "Shadowing Properties".
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PI Andri Gretarsson
- The objective of this two-group, quasi-experimental pretest-posttest research study is to determine whether changes in thermal heat readings around the periorbital region of the eyes can be accurately detected during stressful conditions using a specially designed set of eye glasses imbedded with thermal detectors.
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PI Darrel Smith
- Exotic propulsion has captured the interest of many Embry-Riddle students. As NASA plans its manned mission to Mars, we come face-to-face with a fundamental dilemma — a round trip to Mars will take almost three years with traditional chemical rockets!
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PI Andri Gretarsson
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PI Quentin Bailey
CO-I Andri Gretarsson
CO-I Brennan Hughey
CO-I Michele Zanolin
CO-I Preston Jones
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Einstein’s theory of General Relativity offers a remarkable description of gravity as curved space and time. Many of the consequences of this theory have been confirmed, and some are used daily, such as the gravitational redshift effect on GPS satellite atomic clocks. In 2015, the first observation of a gravitational wave from two inspiraling black holes occurred using the gravitational wave observatories as part of the worldwide LIGO-VIRGO collaboration. This discovery won the Nobel prize, and the observations of these events have continued, including a multi-messenger event of two colliding neutron stars.
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PI Quentin Bailey
CO-I Andri Gretarsson
CO-I Michele Zanolin
CO-I Brennan Hughey
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To date, Einstein's General Theory of Relativity is the best current fundamental theory of gravity. This fascinating theory describes gravity as the curvature of space and time itself. As esoteric as it sounds, results from Einstein's theory are put to use every day in high-precision Global Positioning System (GPS) navigation.
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PI Thomas Foley
CO-I Reginald Parker
CO-I Michele Gazica
CO-I Brooke Shannon
CO-I Erin Bowen
CO-I Muna Slewa
CO-I Michael Brady
CO-I Richard Rodriguez
CO-I Perry Feder
- This study proposes to test and collect data on the effectiveness of commonly used physical security systems in delaying intruders. The purpose of this study is to support the design of better physical security systems for schools. The study will also gather data on parent and teacher perceptions of the quality of security in schools.