Research works

A splitting theorem for manifolds with a convex boundary component and applications

We prove a warped product splitting theorem for manifolds with Ricci curvature bounded below, in the spirit of Croke–Kleiner [Duke Math. J. 67 (1992)]. Instead of assuming that one boundary component is compact and mean-convex, we require it to be parabolic and convex. We then de...

Coupled transport equations with freezing

We study a system of two coupled transport equations with freezing. The solutions freeze in time when they are equal. We prove existence and uniqueness of continuous solutions if the initial conditions are continuous. We discuss several qualitative and quantitative properties of...

The product of nonabelian simple groups and dihedral groups

Abstract Let X = G ⁢ D X=GD be a group, where 𝐺 is a nonabelian simple group and 𝐷 is a dihedral group. These groups 𝑋 are closely related to regular Cayley maps. The main theorems of this paper describes 𝑋.

Two-Scale Exponential Integrators with Uniform Accuracy for Three-Dimensional Charged-Particle Dynamics Under a Strong Magnetic Field

Abstract. The numerical simulation of three-dimensional charged-particle dynamics (CPD) under a strong magnetic field is a basic and challenging algorithmic task in plasma physics. In this paper, we introduce a new methodology to design two-scale exponential integrators for three...

Wall and chamber structure for a special biserial algebra coming from perverse sheaves on $\mathbb{P}^{n}$

We describe the wall and chamber structure of a special biserial algebra whose module category is equivalent to the category of (middle) perverse sheaves on the complex projective space \mathbb{P}^{n} . In particular, by the well-known classification of indecomposable modules for...

Foveated metamers of the early visual system

Abstract The ability of humans to discriminate and identify spatial patterns varies across the visual field, and is generally worse in the periphery than in the fovea. This decline in performance is revealed in many kinds of tasks, from detection to recognition. A parsimonious hy...

Bartnik's splitting conjecture with the null energy condition

Abstract Bartnik conjecture is one of the prime open conjectures in mathematical relativity. There are many approaches to this conjecture that use (Lorentzian) conformal geometry. In this article, we show that if we replace the strong energy condition in Bartnik's splitting conje...

Equivariant analytic torsion for proper actions

We construct an equivariant version of Ray-Singer analytic torsion for proper, isometric actions by locally compact groups on Riemannian manifolds, with compact quotients. We obtain results on convergence, metric independence, vanishing for even-dimensional manifolds, a product f...

Autoimmunity and autoinflammation in COVID-19: molecular mechanisms and therapeutic strategies

As of May 2021, severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) has infected over 150 million people worldwide. The mechanisms of immune dysregulation in resulting coronavirus disease 2019 (COVID-19) have not yet been fully elucidated. There is growing evidence to su...

Assembling an understanding: the critical role of SARS-CoV-2 envelope and membrane proteins in virion formation

In March 2020, the World Health Organization declared coronavirus disease 2019 (COVID-19) a global pandemic. Since then, COVID-19 has claimed the lives of over 2 million people and is continuing to spread at an alarming rate, straining public health systems and crippling economie...

Terminating College Head Coaches' Employment with Cause for NCAA Rules Infractions

College athletics and its finances are in flux due to several recent incidents. Many athletics departments claimed to lose millions of dollars due to the COVID-19 pandemic. The NCAA v. Alston Supreme Court decision will result in universities and athletics departments providing t...

So Sue Me: How the Justice Department Can Protect Children by Suing Indigent Defenders

As new leadership takes over at the federal Department of Justice, this Essay argues that the Department of Justice should use its civil rights enforcement authority to improve the quality of legal representation for children by directly suing indigent defense systems—a step the...

Ammonia Chiller Performance Enhancement by Implementation of Ejector Overfeed Cycle with Brazed Plate Evaporator.

Ammonia has long been considered one the most promising refrigerants for refrigeration applications due to its favorable thermodynamic properties that yield high COP compared to most other common fluids. Evaporator overfeed in ammonia systems is often accomplished by means of a m...

"Trumping" Affirmative Action

This Essay examines the Trump administration’s actions to eliminate affirmative action, along with the broader ramifications of these actions. While former-President Trump’s judicial appointments have garnered much attention, the Essay focuses on the actions of his Department of...

Intergenerational Family Counselling and Therapy: Concepts, Methods, Family Patterns, and Scientific Evidence

The report presents a critical review of intergenerational family counselling and therapy, that is, counselling and therapeutic work in which family history across generations is the central subject, and of the wider range of intergenerational family approaches. In Bulgaria, they...

Generative Structural Theory v1.16 — Fibre Structure Behind the Fixed-Census Separation

GST v1.14 found, on a fixed single-arc census record, that the provenance-population condition Q_D selects a strictly smaller set of candidates than the recorded verdict condition E_rec. GST v1.15 characterised this difference conditionally through the fibres of a truncation map...

A 36.34-day Sub-Neptune Candidate Transiting the Nearby K Dwarf TIC 402710280

We report a transiting sub-Neptune candidate with a period of 36.34 days around TIC 402710280 (TYC 9041-03677-1), a K dwarf of TESS magnitude 9.24 at 66.8 pc that the Transiting Exoplanet Survey Satellite (TESS) has observed only in full-frame images. Four transits, recorded betw...

IIIS: An Inter-Intelligence Intermediary Syntax for Shared Observation Across Perceptions

How can two intelligences that perceive the world differently share one and the same knowledge structure? We assume the existence of an intelligence whose perception differs from that of humans, and ask what syntactic structure would let such intelligences communicate. We propose...

A Fibonacci Spine in a Five-fold Chorus of Ogdoecontahedron Packings

The DICTO Ogdoecontahedron is a convex, centrally symmetric icosahedral solid with 20 regular hexagons and 60 kites. Its hexagon directions contain five inscribed cubes, and each cube gives a periodic (body-centred cubic) packing in which copies meet face to face on hexagons. We...

Risky Fine Print: A Novel Typology of Ethical Risks in Mobile App User Agreements

Mobile app users e-sign terms of service (ToS) and privacy policy agreements (PPA) on a daily basis, oftentimes without reviewing them. This practice is problematic because ToS and PPA include considerable “ethical risks,” that are, questionable elements that they would not reaso...