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What Makes a Neural Code Convex?

- C. Curto, Elizabeth Gross, +5 authors Nora Youngs
- Mathematics, Computer Science
- SIAM J. Appl. Algebra Geom.
- 1 August 2015

TLDR

Polarization of Neural Rings

- Sema Gunturkun, Jack Jeffries, J. Sun
- Mathematics
- 26 June 2017

The "neural code" is the way the brain characterizes, stores, and processes information. Unraveling the neural code is a key goal of mathematical neuroscience. Topology, coding theory, and, recently,… Expand

Mapping toric varieties into low dimensional spaces

- E. Dufresne, Jack Jeffries
- Mathematics
- 24 February 2016

A smooth $d$-dimensional projective variety $X$ can always be embedded into $2d+1$-dimensional space. In contrast, a singular variety may require an arbitrary large ambient space. If we relax our… Expand

Separating invariants and local cohomology

- E. Dufresne, Jack Jeffries
- Mathematics
- 24 September 2013

The study of separating invariants is a recent trend in invariant theory. For a finite group acting linearly on a vector space, a separating set is a set of invariants whose elements separate the… Expand

A singularly perturbed semilinear system

- Jack Jeffries
- Mathematics
- 1996

A constructive existence proof is given for solutions of boundarylayer type for the singularly perturbed semilinear system edx/dt = H{t,x,e) subject to either Dirichlet or general Robin boundary… Expand

Algebraic signatures of convex and non-convex codes

- C. Curto, Elizabeth Gross, +4 authors Nora Youngs
- Computer Science, Mathematics
- Journal of pure and applied algebra
- 8 July 2018

TLDR

Multiplicities of classical varieties

- Jack Jeffries, J. Montaño, M. Varbaro
- Mathematics
- 2 August 2013

The j-multiplicity plays an important role in the intersec- tion theory of Stuckrad-Vogel cycles, while recent developments confirm the connections between the e-multiplicity and equisingularity… Expand

Non-simplicial decompositions of Betti diagrams of complete intersections

- Courtney R. Gibbons, Jack Jeffries, Sarah Mayes, Claudiu Raicu, Branden Stone, Bryan White
- Mathematics
- 15 January 2013

We investigate decompositions of Betti diagrams over a polyno- mial ring within the framework of Boij{Soderberg theory. That is, given a Betti diagram, we decompose it into pure diagrams. Relaxing… Expand

THE j-MULTIPLICITY OF MONOMIAL IDEALS

- Jack Jeffries, J. Montaño
- Mathematics
- 6 December 2012

We prove a characterization of the j-multiplicity of a monomial ideal as the normalized volume of a polytopal complex. Our result is an extension of Teissier's volume-theoretic interpretation of the… Expand

Quantifying singularities with differential operators.

- Holger Brenner, Jack Jeffries, Luis N'unez-Betancourt
- Mathematics
- 10 October 2018

The $F$-signature of a local ring of prime characteristic is a numerical invariant that detects many interesting properties. For example, this invariant detects (non)singularity and strong… Expand

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