A5101686146- Advanced Algebra and Geometry
- Algebraic structures and combinatorial models
- Algebraic Geometry and Number Theory
- Advanced Topics in Algebra
- Finite Group Theory Research
- Marine animal studies overview
- Geometry and complex manifolds
- Homotopy and Cohomology in Algebraic Topology
- Molecular spectroscopy and chirality
- Maritime Navigation and Safety
- Arctic and Antarctic ice dynamics
- Manufacturing Process and Optimization
- Geometric and Algebraic Topology
- Underwater Acoustics Research
- History and Theory of Mathematics
- Marine and fisheries research
- Arctic and Russian Policy Studies
- Advanced NMR Techniques and Applications
- Advanced Mathematical Identities
- Mercury impact and mitigation studies
- Mathematics and Applications
- Coding theory and cryptography
- Animal Vocal Communication and Behavior
- Additive Manufacturing and 3D Printing Technologies
- Advanced Operator Algebra Research
NOAA National Marine Fisheries Service
2008-2025
University of Maryland, College Park
2009-2024
National Oceanic and Atmospheric Administration
2008-2024
NOAA Oceanic and Atmospheric Research
2021-2022
Massachusetts Institute of Technology
2003-2016
OAI Consulting (United States)
2014
Radboud University Nijmegen
2012
Vrije Universiteit Amsterdam
2012
University of Amsterdam
2012
University of Washington
2009
We present a finite algorithm for computing the set of irreducible unitary representations real reductive group G. The Langlands classification, as formulated by Knapp and Zuckerman, exhibits any representation with an invariant Hermitian form deformation one in Harish-Chandra's Plancherel formula. behavior these deformations was determined to first approximation Kazhdan-Lusztig analysis characters; more complete information comes from Beilinson-Bernstein proof Jantzen conjectures. The...
Abstract Vessel strikes are a critical threat to endangered North Atlantic right whales ( Eubalaena glacialis ), significantly contributing their elevated mortality. Accurate estimates of these mortality rates essential for developing effective management strategies aid in the species’ recovery. This study enhances existing vessel strike models by incorporating detailed regional data on traffic characteristics as well whale distribution and behavior. Our model assesses spatial temporal...
The Arctic is among the most rapidly-changing regions on Earth. Diminishing levels of sea-ice has increased opportunities for maritime activities in historically inaccessible areas such as Northern Sea Route and Northwest Passage. Degradation marine ecosystems may accompany expanding vessel operations through introduced underwater noise, potential large oil spills, other things; compound stressors already effecting biological populations due to climate change. Assessments are needed track...
Methods to evaluate strategies reduce the risk of vessels striking whales are needed balance species protections with economic consequences. Previously used simplistic methods do not include important elements vessel-strike risk. More complex often parameters that have been estimated for whales. Additionally, whale and vessel metrics in all because they may lead biases reductions. We build a simple metric, Total PLETHd, from three components: (1) relationship between speed probability strike...
Environmental regulations can only be effective if they are adhered to, but the motivations for regulatory compliance not always clear. We assessed vessel operator with a December 2008 regulation aimed at reducing collisions endangered North Atlantic right whale that requires vessels 65 feet or greater in length to travel speeds of 10 knots less prescribed times and locations along U.S. eastern seaboard. Extensive outreach efforts were undertaken notify affected entities both before after...
Soundscapes offer rich descriptions of composite acoustic environments. Characterizing marine soundscapes simply through sound levels results in incomplete descriptions, limits the understanding unique features, and impedes meaningful comparisons. Sources that contribute to level metrics shift time space with changes biological patterns, physical forces, human activity. The presence a constant or chronic source is often interwoven episodic sounds. Further, intensity sources can influence...
This paper determines the θ–correspondence for dual pairs (O(p, q), Sp(2n, R)) when p+q=2n+1. As a consequence, there is natural bijection between genuine irreducible representations of metaplectic group Mp(2n, R) and SO(p, q) with
To conduct health assessments and compare outcomes in 2 populations of Atlantic bottlenose dolphins. Design-Repeated cross-sectional study.171 dolphins.During June August 2003 through 2005, 89 dolphins from the Indian River Lagoon (IRL), Florida, 82 estuarine waters near Charleston, SC, were evaluated. A panel 5 marine mammal veterinarians classified as clinically normal, possibly diseased, or definitely diseased on basis results physical ultrasonographic examinations, hematologic serum...
We consider the Chevalley involution in context of real reductive groups. show that if G(R) is points a connected group, there an involution, unique up to conjugacy by G(R), taking any semisimple element conjugate its inverse. As applications we give condition for every irreducible representation be self-dual, and Frobenius Schur indicator such
We consider the question: what is contragredient in terms of L-homomorphisms? conjecture that it corresponds to Chevalley automorphism L-group, and prove this case real groups. The proof uses a characterization local Langlands correspondence over $R$. also related notion Hermitian dual, GL$(n,{\Bbb R})$.
Screw Theory is used to provide mathematical models of assembly features, allowing the determination positioning constraints imposed on one part in an by another based geometry features that join them. Several feature types have been modeled, and it easy model new ones. A user this theory able combine members set two parts then determine whether or not defined over-, under-, fully-constrains location orientation part. The ability calculate state constraint useful supporting quantitative...
We find a relationship between certain complementary series representations for nonlinear coverings of split simple groups, and spherical (different) linear groups. The main technique is Barbasch’s method calculating some intertwining operators purely in terms the Weyl group.
Abstract The admissible representations of a real reductive group G are known by work Langlands, Knapp, Zuckerman and Vogan. This paper describes an effective algorithm for computing the irreducible with regular integral infinitesimal character. also structure theory , including orbits K (ℂ) (a complexified maximal compact subgroup) on flag variety. has been implemented computer second author, as part ‘Atlas Lie Groups Representations’ project.
Real forms of a complex reductive group are classified by Galois cohomology H^1(Gamma,G_ad) where G_ad is the adjoint group. Cartan's classification real in terms maximal compact subgroups can be stated H^(Z/2Z,G_ad) action (holomorphic) Cartan involution. The main result that for any group, possibly disconnected, there canonical isomorphism between H^1(Gamma,G) and H^1(Z/2Z,G). As applications we give short proofs some well known results, including Sekiguchi correspondence, Matsuki duality,...
This study reports comprehensive baseline data for hematology, serum chemistry, and cytology variables in 63 apparently healthy Atlantic bottlenose dolphins (Tursiops truncatus) inhabiting the estuarine waters of Charleston (CHS), South Carolina (SC). Blood samples were collected from August 2003 2004 during capture-release health assessment studies. Means, medians, standard deviations, 95% CI, ranges calculated population’s biochemistry, protein electrophoresis parameters. All parameters...