Diophantine methods, lattices, and arithmetic theory of quadratic forms : international workshop, Banff International Research Station, November 13-18, 2011, Banff, Alberta, Canada
Bibliographic record
Abstract
Boris Venkov's theory of lattices and spherical designs by G. Nebe Generalized theta series and spherical designs by J. M. Cervino and G. Hein Representations of integral quadratic polynomials by W. K. Chan and B.-K. Oh Dense lattices as Hermitian tensor products by R. Coulangeon and G. Nebe Small zeros of homogeneous cubic congruences by R. Dietmann Strictly regular diagonal positive definite quaternary integral quadratic forms by A. G. Earnest and J. Y. Kim Heights and quadratic forms: Cassels' theorem and its generalizations by L. Fukshansky On the positive integers $n$ satisfying the equation $F_n=x^2+ny^2$ by J. J. A. Gonzalez and F. Luca Algorithms for computing maximal lattices in bilinear (and quadratic) spaces over number fields by J. Hanke $p$ adic zeros of systems of quadratic forms by D. R. Heath-Brown The number of function fields with given genus by D. Kettlestrings and J. L. Thunder Unique factorization in the theory of quadratic forms by G. T. Minton Golden lattices by G. Nebe The extremal lattice of dimension 14, level 7 and its genus by R. Scharlau Strict periodic extreme lattices by A. Schurmann Exceptional units and cyclic resultants, II by C.L. Stewart A note on generators of number fields by J. D. Vaaler and M. Widmer Voronoi's reduction theory of $GL_n$ over a totally real number field by T. Watanabe, S. Yano, and T. Hayashi Some comments about indefinite LLL by M. Watkins
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.006 | 0.004 |
| Meta-epidemiology (narrow) | 0.001 | 0.001 |
| Meta-epidemiology (broad) | 0.002 | 0.001 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.003 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.002 | 0.001 |
| Research integrity | 0.000 | 0.002 |
| Insufficient payload (model declined to judge) | 0.008 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".