Research works

Variations of GIT Quotients and Dimer Combinatorics for Toric Compound Du Val Singularities

A dimer model is a bipartite graph described on the real two-torus, from which we can define the associated quiver.It is known that for any three-dimensional Gorenstein toric singularity, there exists a dimer model such that a GIT quotient parametrizing stable representations of...

On f-generic types in NIP groups

‘Definable amenability’ of a definable group is the model-theoretic analogue of amenability of a discrete group; precisely, a definable group is said to be definably amenable if it admits a translation-invariant finitely additive probability measure on its definable subsets. We p...

Noncommutative supports, local cohomology and spectral sequences

The purpose of this paper is to study local cohomology in the noncommutative algebraic geometry framework of Artin and Zhang. The noncommutative spaces are obtained by base change of a Grothendieck category that is locally noetherian or strongly locally noetherian. Using what we...

Integrating human linguistic insights into AI: theory-driven representation for multilingual text-to-speech

This paper explores the integration of human linguistic insights into multilingual text-to-speech (TTS) systems by evaluating the Featurally Underspecified Lexicon (FUL) as a theory-driven input representation. Unlike data-intensive end-to end models, FUL offers a compact, interp...

Molecular Descriptors Based Comparative QSTR Study Of Saturated Alcohols Derivatives.

In this present work, we have taken saturated alcohol derivatives and comparativeQSTRmodel have beenmadewith the help of fewimportant groups of descriptors like topological, constitutional descriptors, geometrical and getaway descriptors have been tested and to final QSTR model h...

Operational Transition Test (OTT): Experimental Crucible v0.3 — Prospective Reduced-VCX Results (H1–H4 PASS)

This record contains the prospective results of the Operational Transition Test (OTT) Experimental Crucible v0.3.0 — the reduced V–C–X criterion (scope-wide interventional validity ∧ robust control-cost compression ∧ attributable constrained operational expansion). The protocol,...

No New Structure in the Prime Gaps: An Exact Reconstruction of the B4 Signature from the mod-30 Residue Grammar

The title says no new structure in a specific, bounded sense: not that the prime gaps are without structure -- theyare richly structured by known number theory -- but that the 24-cell B4 signature we measure contains nothingbeyond that known structure, as we show by reconstructin...

Operational Transition Test (OTT): Experimental Crucible v0.2 - Frozen Prospective Protocol

This record contains the frozen prospective protocol for version 0.2.0 of the Operational Transition Test (OTT), developed to test whether a proposed operational criterion can distinguish genuine cross-level operational transitions from predictive compression, arbitrary aggregati...

Operational Transition Test (OTT): Experimental Crucible v0.2 — Prospective Results (H1 = FAIL)

This record contains the prospective results of the Operational Transition Test (OTT) Experimental Crucible v0.2.0. The protocol, hypotheses, thresholds, benchmark families, development/evaluation split, resource accounting rules, and failure criteria were publicly frozen before...

Isolation Through Orthonormal Rotation Holds

Per-tenant orthonormal rotation applied to attention K-vectors provides cryptographic isolation between tenants sharing a single language model instance. Within a tenant, rotation is an isometry — retrieval quality is preserved exactly. Across tenants, a wrong-key query returns c...

Operational Transition Test (OTT): Experimental Crucible v0.3 - Frozen Reduced-VCX Prospective Protocol

This record contains the frozen prospective protocol for version 0.3.0 of the Operational Transition Test (OTT) Experimental Crucible. Context. The v0.2 frozen protocol (DOI 10.5281/zenodo.22116064) was publicly timestamped before execution; its prospective run was then published...

The Isometry Tax: At-Rest Leakage in Rotation-Isolated Multi-Tenant Vector Search as an Instance of Property-Preserving-Encryption Leakage, with Bounds on Its Mitigations

Multi-tenant vector indexes promise large cost savings by sharing one approximate-nearestneighbour structure across many tenants. Per-tenant orthonormal rotation is an appealing way to isolate those tenants: each tenant's vectors are rotated under a per-tenant key, within-tenant...

When Output Becomes Infrastructure: Operational Compilation and a Falsifiable Test for Cross-Level Transitions

Scientific explanations routinely move between levels of organization, yet a change of level may represent either a genuine change in what a system or controller can operationally do or merely a useful redescription by an observer. We propose operational compilation: a lower-leve...

The relative Manin–Mumford conjecture

Abstract We prove the Relative Manin–Mumford Conjecture for families of abelian varieties in characteristic 0. We follow the Pila–Zannier method to study special point problems, and we use the Betti map which goes back to work of Masser and Zannier in the case of curves. The key...

Association of prenatal exposure to opioids, cannabis, and polysubstance use with cord blood DNA methylation patterns in a multiancestry cohort

Abstract Background: Blood DNA methylation patterns are highly predictive of prenatal exposure to smoking and differential methylation has been associated with maternal alcohol use. We extended this to determine whether DNA methylation patterns in cord blood are associated with p...

The Ontology Of Nkwu-Elu And Its Relevance In Igbo African Socio-Cultural Society And Beyond

Nkwu Elu, which literarily translates ‘Up-wine’, is a specie of Palm wine, and most popular of the traditional palm-wine among Igbo Africans. Its popularity is not fortuitous. It is often harvested from up; hence the name Nkwu Elu – Up-wine. ‘Up’, in this context, means ‘above th...

Alliance Theory: Balancing, Bandwagoning, and Détente

Stephen M. Walt’s “balance-of-threat” theory of alliance formation (1988) is examined as a focus theory. Walt’s theory is compared with a Kenneth A. Waltz’s “balance-of-power” as a supporting theory (1979), and supporting evidence for the focus theory is presented. Then, Walt’s t...

Dissipation in the broadband and ultrastrong coupling regimes of cavity quantum electrodynamics: an ab initio quantized quasinormal mode approach

Abstract Phenomenological approaches to photon loss have long been the workhorse of cavity-QED, but prove inadequate in the presence of sufficiently broadband light-matter interactions. We present a rigorous and ab initio derivation of a quantum master equation for a quantized op...

SoccerSynth-detection: a synthetic dataset for soccer player detection

Abstract Soccer player detection is a fundamental task in soccer video analysis, supporting downstream applications such as event analysis and tactical reconstruction. However, annotated soccer player data from broadcast videos are difficult to obtain and use at scale because of...

Mitophagy Facilitates Cytosolic Proteostasis to Preserve Cardiac Function

Abstract Background Protein quality control (PQC) is critical for maintaining sarcomere structure and function in cardiac myocytes, and mutations in PQC pathway proteins, such as CRYAB (arginine to glycine at position 120, R120G) and BAG3 (proline to lysine at position 209, P209L...