18 citations · 46 across the 12 of their papers we have counts for
17 papers
FS-DFM: Fast and Accurate Long Text Generation with Few-Step Diffusion Language Models
Amin Karimi Monsefi, Nikhil Bhendawade, Manuel Rafael Ciosici +3
Autoregressive language models (ARMs) deliver strong likelihoods, but are inherently serial: they generate one token per forward pass, which limits throughput and inflates latency…
SaulLM-54B & SaulLM-141B: Scaling Up Domain Adaptation for the Legal Domain
Pierre Colombo, Telmo Pires, Malik Boudiaf +7
In this paper, we introduce SaulLM-54B and SaulLM-141B, two large language models (LLMs) tailored for the legal sector. These models, which feature architectures of 54 billion and…
SaulLM-7B: A pioneering Large Language Model for Law
Pierre Colombo, Telmo Pessoa Pires, Malik Boudiaf +8
In this paper, we introduce SaulLM-7B, a large language model (LLM) tailored for the legal domain. With 7 billion parameters, SaulLM-7B is the first LLM designed explicitly for leg…
The structure of the v_2-local algebraic tmf resolution
Mark Behrens, Prasit Bhattacharya, Dominic Culver
We give a complete description of the E_1-term of the v_2-local as well as g-local algebraic tmf resolution.
Algebraic K-theory of elliptic cohomology
Gabriel Angelini-Knoll, Christian Ausoni, Dominic Leon Culver +2
We calculate the mod (p, v_1, v_2) homotopy V(2)_* TC(BP<2>) of the topological cyclic homology of the truncated Brown--Peterson spectrum BP<2>, at all primes p\ge7, and show that…
Exotic Picard groups and chromatic vanishing via the Gross-Hopkins duality
Dominic Leon Culver, Ningchuan Zhang
In this paper, we study the exotic -local Picard groups when and the homological Chromatic Vanishing Conjecture when does not divide . The main idea…
The motivic lambda algebra and motivic Hopf invariant one problem
William Balderrama, Dominic Leon Culver, J. D. Quigley
We investigate forms of the Hopf invariant one problem in motivic homotopy theory over arbitrary base fields of characteristic not equal to . Maps of Hopf invariant one classica…
Topological Hochschild homology of truncated Brown-Peterson spectra I
Gabriel Angelini-Knoll, Dominic Leon Culver, Eva Höning
We compute topological Hochschild homology of sufficiently structured forms of truncated Brown--Peterson spectra with coefficients. In particular, we compute $\mathrm{THH}_*(B\lang…
Algebraic slice spectral sequences
Dominic Leon Culver, Hana Jia Kong, J. D. Quigley
For certain motivic spectra, we construct a square of spectral sequences relating the effective slice spectral sequence and the motivic Adams spectral sequence. We show the square…
The telescope conjecture at height 2 and the tmf resolution
Agnes Beaudry, Mark Behrens, Prasit Bhattacharya +2
Mahowald proved the height 1 telescope conjecture at the prime 2 as an application of his seminal work on bo-resolutions. In this paper we study the height 2 telescope conjecture a…
On the -local homotopy of
Dominic Leon Culver, Paul VanKoughnett
As a step towards understanding the -based Adams spectral sequence, we compute the -local homotopy of , using a small presenta…
-Resolutions I
Dominic Leon Culver, J. D. Quigley
Let denote the very effective cover of Hermitian K-theory. We apply the -based motivic Adams spectral sequence, or -resolution, to computational motivic stable homotop…
The Adams spectral sequence for 3-local
Dominic Culver
The purpose of this short article is to record the computation of the homotopy groups of 3-local via the Adams spectral sequence.
The -cooperations at odd primes
Dominic Culver
In previous work, the author analyzed the co-operations algebra for the second truncated Brown-Peterson spectrum at the prime . The purpose of this paper is to carry out the n…
On -cooperations
Dominic Culver
In this paper we develop techniques to compute the cooperations algebra for the second truncated Brown-Peterson spectrum $\tBP{2}$. We prove that the cooperations algebra $\tBP{2}_…
On the E2-term of the bo-Adams spectral sequence
Agnes Beaudry, Mark Behrens, Prasit Bhattacharya +2
The E_1-term of the (2-local) bo-based Adams spectral sequence for the sphere spectrum decomposes into a direct sum of a v_1-periodic part, and a v_1-torsion part. Lellmann and Mah…
A new basis for the complex -theory cooperations algebra
Dominic Culver
A classical theorem of Adams, Harris, and Switzer states that the 0th grading of complex -theory cooperations, is isomorphic to the space of numerical polynomials. The…