Research works

On the relative Morrison-Kawamata cone conjecture (II)

Assuming the Morrison-Kawamata cone conjecture for the generic fiber of a Calabi-Yau fibration and the abundance conjecture, we show (1) the finiteness of weak log canonical models, (2) the existence of a weak rational polyhedral fundamental domain under the action of birational...

Rational link fertility

Abstract A knot K is the resultant of a knot H if there exists a minimal crossing diagram D of H such that some crossings of D can be altered to produce K . H is fertile if every prime knot K with crossing number less than c ( H ) is a resultant of H . H has fertility number n if...

Generalized Turán Problem for Complete Hypergraphs

Abstract. Write [Formula: see text] for the complete [Formula: see text]-graph on [Formula: see text] vertices. For integers [Formula: see text], let [Formula: see text] be the maximum density of [Formula: see text] in [Formula: see text] vertex [Formula: see text]-free [Formula:...

Proof of Riemann hypothesis

This paper is a trial to prove Riemann hypothesis according to the following process. 1. We make one identity regarding x from one equation that gives Riemann zeta function ζ(s) analytic continuation and 2 formulas (1/2+a±bi, 1/2− a ±bi) that show non-trivial zero point of ζ(s)....

Remarks on Symplectic Geometry

The relatively new subject, symplectic geometry, has been studied the past five decades. Symplectic geometry is the mathematical subject studying the geometry of symplectic manifolds. A symplectic manifold is an even-dimensional smooth manifold equipped with a closed non-degenera...

A Health Sciences Library Collaboration: Using Digital Media for Creation, Outreach, and Communication

This presentation describes a collaborative model in which a digital media designer/consultant and a library liaison work with faculty, researchers, clinicians, and other users to support outreach and engagement through a variety of media, including print and still images, audio,...

A joint planarity tensor for the low-ℓ CMB

Methods paper with negative results declared. Two no-go theorems are proved for the estimator family behind the CMB 'Axis of Evil': (i) a multipole's own eigenframe cannot measure its own planarity (P2≡1 identically); (ii) maximizing zonal power over real axes locates the plane o...

The Salience of Entrepreneurship: Evidence from Online Business

We examine the decision to become an entrepreneur in the context of online business. Using data on entrepreneurs from a large e-commerce marketplace in China, we find that individuals are more likely to start online businesses after observing the salient success of nearby stores....

Minimax-Optimal Reward-Agnostic Exploration in Reinforcement Learning

This paper studies reward-agnostic exploration in reinforcement learning (RL)—a scenario where the learner is unaware of the reward functions during the exploration stage—and designs an algorithm that improves over the state of the art. More precisely, consider a finite-horizon i...

Effect of Parametric Variation of Chordae Tendineae Structure on Simulated Atrioventricular Valve Closure

Purpose: Many approaches have been used to model chordae tendineae geometries in finite element simulations of atrioventricular heart valves. Unfortunately, current "functional" chordae tendineae geometries lack fidelity (e.g., branching) that would be helpful when informing clin...

Crossing margins: Intersectional users’ ethical concerns about software

Abstract Many modern software applications present numerous ethical concerns due to conflicts between users’ values and companies’ priorities. Intersectional communities, those with multiple marginalized identities, are disproportionately affected by these ethical issues, leading...

Bateman–Horn, polynomial Chowla and the Hasse principle with probability 1

Abstract With probability 1, we assess the average behaviour of various arithmetic functions at the values of degree 𝑑 polynomials f ∈ Z ⁢ [ t ] f\in\mathbb{Z}[t] that are ordered by height. This allows us to establish averaged versions of the Bateman–Horn conjecture, the polynom...

Gate-tunable negative differential resistance in multifunctional van der Waals heterostructure

Abstract Two-dimensional (2D) semiconductors have emerged as exciting candidates for the development of low-power and multifunctional computing applications, thanks to their qualities such as layer-dependent band gap tunability, high carrier mobility, and excellent electrostatic...

Graph and String Parameters: Connections Between Pathwidth, Cutwidth and the Locality Number

Abstract We investigate the locality number, a recently introduced structural parameter for strings (with applications in pattern matching with variables), and its connection to two important graph-parameters, cutwidth and pathwidth. These connections allow us to show that comput...

Analyzing the Effect of Fe on the Microstructure and Mechanical Properties of a Fibrous AA6110 Alloy

Abstract In this study, the effect of three different levels of iron impurity on the grain structure and texture of a fibrous AA6110 alloy after hot extrusion was investigated. Microstructural examination was carried out to measure the microtexture and the results were correlated...

Public Access, Open Access, and the Need for NIH Governance

This Viewpoint discusses the confusion between public access and open access, pay-to-comply publisher practices, and the steps that the National Institutes of Health (NIH) must take to fill this gap and promote public access goals.

Cost of Article Processing Charges to Adhere to National Institutes of Health Public Access Policy

This economic evaluation estimates investigator payments of article processing charges to journal publishers to allow immediate public access to their published federally funded research.

Suicide Risk After Social Network Exposure to Suicide Attempts in Adolescents and Young Adults

Importance Exposure to suicide thoughts and behaviors within social networks has been associated with suicide risk among adolescents and young adults, but longitudinal evidence examining subsequent suicide attempts, suicidal ideation, and depressive symptoms remains limited. Most...

Robust Public Process in Cultural Planning: Institutionalizing Participation in U.S. Cultural Plans

Problem, research strategy, and findings Cultural planning is widely framed as participatory, yet persistent gaps remain between participatory aspirations and equity-oriented planning and governance. In this study I asked: (1) What constitutes a robust public process in cultural...

Customized SNP Panel for Local Brazilian Sheep Breed Assignment

Background/Objectives: Brazilian locally adapted sheep breeds represent valuable genetic resources. However, the commercial valorization of these breeds depends in part on genetic certification to support traceability and verify product origin. This study aimed to identify and ev...