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153 results on '"Uttenthal, Å."'

1. Whitney extension theorems on symmetric spaces, an example

Author

Speh, Birgit and Uttenthal, Peter Vang

Subjects
Mathematics - Representation Theory, Statistics - Machine Learning
Abstract

H. Whitney introduced in 1934 the problem of extending a function on a set of points in $\mathbb{R}^n$ to an analytic function on the ambient space. In this article we prove Whitney type extension theorems for data on some homogeneous spaces. We use harmonic analysis on the homogeneous spaces and representation theory of compact as well as noncompact reductive groups., Comment: 25 pages, 3 figures

Published
2024

2. Elliptic curves and spin

Author

Koymans, Peter and Uttenthal, Peter Vang

Subjects
Mathematics - Number Theory
Abstract

In the early 2000s, Ramakrishna asked the question: For the elliptic curve $$ E: y^2 = x^3 - x, $$ what is the density of primes $p$ for which the Fourier coefficient $a_p(E)$ is a cube modulo $p$? As a generalization of this question, Weston--Zaurova formulated conjectures concerning the distribution of power residues of degree $m$ of the Fourier coefficients of elliptic curves $E/\mathbb{Q}$ with complex multiplication. In this paper, we prove their conjecture for cubic residues using the analytic theory of spin. Our proof works for all elliptic curves $E$ with complex multiplication.

Published
2024

3. Level-raising of even representations of tetrahedral type and equidistribution of lines in the projective plane

Author

Uttenthal, Peter Vang

Subjects
Mathematics - Number Theory, 11F80, 11Y40, 11R80, 11S25, 11R34, 11R37, 11R45
Abstract

The distribution of auxiliary primes raising the level of even representations of tetrahedral type is studied. Under an equidistribution assumption, the density of primes raising the level of an even, $p$-adic representation is shown to be $$ \frac{p-1}{p}. $$ Data on auxiliary primes $v\leq 10^8$ raising the level of even $3$-adic representations of various conductors are presented. The data support equidistribution for $p=3$. In the process, we prove existence of even, surjective representations $$ \rho^{(\ell)}:\operatorname{Gal}(\overline{\mathbb{Q}}/\mathbb{Q}) \longrightarrow \operatorname{SL}(2,\mathbb{Z}_3) $$ ramified only at $\ell$ and at $3$ for $\ell =163$ and $\ell = 277$. The prime $\ell = 277$ falls outside the class of Shanks primes. Measured by conductor, these are the smallest known examples of totally real extensions of $\mathbb{Q}$ with Galois group $\operatorname{SL}(2, \mathbb{Z}_3)$., Comment: 22 pages, 4 tables, 1 figure. arXiv admin note: text overlap with arXiv:2309.01871

Published
2023

4. Existence of $p$-adic representations and flatness of even deformation rings in balanced global settings of rank one

Author

Uttenthal, Peter Vang

Subjects
Mathematics - Number Theory
Abstract

The main goal of this paper is to prove existence of $p$-adic lifts of even Galois representations in balanced global settings with dual Selmer groups of rank one, and to construct examples of even residual representations in characteristic $p=3$ for which the theorem yields existence of $3$-adic lifts. In the proof of the main theorem, we show that if the global deformation rings are not flat over $\mathbb{Z}_p$ at the minimal level, then after allowing ramification at one auxiliary prime, the new parts of the global rings enjoy the flatness property. The proof is independent of the parity of the representations. Previously, flatness was only known in established cases of Langlands reciprocity in the odd parity, while it is new for even deformation rings in balanced global settings of rank one. As a corollary, we show that by choosing the auxiliary prime appropriately, we can control the rank mod $p$ of the new part of the flat ring. The examples of $3$-adic representations and flat, even deformation rings are built by applying techniques from global class field theory to a family of totally real fields studied by D. Shanks. In the process of constructing the even residual representations, we show that there exist cuspidal automorphic representations $\pi$ and $\pi'$ of $\operatorname{GL}(2,\mathbb{A}_{\mathbb{Q}})$ attached to classical Maass wave forms of level $\ell=20887$ whose mod 3 reductions are distinct. The proof applies a theorem of R. P. Langlands from his theory of base change.

Published
2023

5. Density of Selmer ranks in families of even Galois representations, Wiles' formula, and global reciprocity

Author

Uttenthal, Peter Vang

Subjects
Mathematics - Number Theory, 11F80, 11R45
Abstract

This paper concerns the distribution of Selmer ranks in a family of even Galois representations in even residual characteristic obtained by allowing ramification at auxiliary primes. The main result is a Galois cohomological analogue of a theorem of Friedlander, Iwaniec, Mazur and Rubin on the distribution of Selmer ranks in a family of twists of elliptic curves. The Selmer groups are constructed as prescribed by the Galois cohomological method for GL(2): At each ramified place, the local Selmer condition is the tangent space of a smooth quotient of the local deformation ring. By methods of global class field theory, the Selmer group at the minimal level is computed explicitly. The infinitude of primes for which the Selmer rank increases by one is proved, and the density of such primes is shown to be 1/192. The proof combines Wiles' formula and the global reciprocity law. The result has implications for the algebraic structure of even deformation rings and the distribution of their presentations in families., Comment: 44 pages

Published
2023

7. Safety and efficacy of autologous haematopoietic stem-cell transplantation with low-dose cyclophosphamide mobilisation and reduced intensity conditioning versus standard of care in refractory Crohn's disease (ASTIClite): an open-label, multicentre, randomised controlled trial

Author

Lindsay, James O, Hind, Daniel, Swaby, Lizzie, Berntsson, Hannah, Bradburn, Mike, Bannur C, Uday, Byrne, Jennifer, Clarke, Christopher, Desoysa, Lauren, Dickins, Ben, Din, Shahida, Emsley, Richard, Foulds, Gemma A, Gribben, John, Hawkey, Christopher, Irving, Peter M, Kazmi, Majid, Lee, Ellen, Loban, Amanda, Lobo, Alan, Mahida, Yashwant, Moran, Gordon W, Papaioannou, Diana, Parkes, Miles, Peniket, Andrew, Pockley, A Graham, Satsangi, Jack, Subramanian, Sreedhar, Travis, Simon, Turton, Emily, Uttenthal, Ben, Rutella, Sergio, and Snowden, John A

Published
2024
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10. Successful outcome following allogeneic hematopoietic stem cell transplantation in adults with primary immunodeficiency

Author

Fox, Thomas A., Chakraverty, Ronjon, Burns, Siobhan, Carpenter, Benjamin, Thomson, Kirsty, Lowe, David, Fielding, Adele, Peggs, Karl, Kottaridis, Panagiotis, Uttenthal, Benjamin, Bigley, Venetia, Buckland, Matthew, Grandage, Victoria, Denovan, Shari, Grace, Sarah, Dahlstrom, Julia, Workman, Sarita, Symes, Andrew, Mackinnon, Stephen, Hough, Rachael, and Morris, Emma

Published
2018
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14. Systematic Intention to Treat Analysis of Real-World Outcomes in Children and Young Adults Receiving Tisagenlecleucel: From Elegibility through Treatment Failure

Author

Oporto Espuelas, Macarena, Burridge, Saskia, Bonney, Denise, Watts, Kelly, Roddie, Claire, O'Reilly, Maeve A, Shenton, Geoff, Snowden, John A, Furness, Caroline, Jalowiec, Katarzyna Aleksandra Aleksandra, Neill, Lorna, Clesham, Katherine, Nicholson, Emma, Castleton, Anna, Patel, Amit, Besley, Caroline, Wynn, Robert F, Vora, Ajay, Marks, David I., George, Lindsay, Uttenthal, Ben, Chaganti, Sridhar, Cummins, Michelle, Amrolia, Persis J, Hough, Rachael E, and Ghorashian, Sara

Published
2022
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15. Replacing Procarbazine with Dacarbazine in Escalated Beacopp Dramatically Reduces the Post Treatment Haematopoietic Stem and Progenitor Cell Mutational Burden in Hodgkin Lymphoma Patients with No Apparent Loss of Clinical Efficacy

Author

Santarsieri, Anna, Mitchell, Emily, Sturgess, Katherine, Brice, Pauline, Menne, Tobias F., Osborne, Wendy, Creasey, Thomas, Ardeshna, Kirit M., Behan, Sarah, Bhuller, Kaljit, Booth, Stephen, Chavda, Nikesh D., Collins, Graham P., Culligan, Dominic J., Cwynarski, Kate, Davies, Andrew, Downing, Abigail, Dutton, David, Furtado, Michelle, Gallop-Evans, Eve, Hodson, Andrew, Hopkins, David, Hsu, Hannah, Iyengar, Sunil, Jones, Stephen G., Linton, Kim M., Lomas, Oliver C., Martinez-Calle, Nicolas, Mathur, Abhinav, McKay, Pamela, Nagumantry, Sateesh K., O'Mahony, Deirdre, Phillips, Elizabeth H., Phillips, Neil, Rudge, John F., Shah, Nimish K., Stafford, Gwyneth, Sternberg, Alex, Trickey, Rachel, Uttenthal, Benjamin J., Wetherall, Natasha, McMillan, Andrew K., Stratton, Michael, Laurenti, Elisa, Campbell, Peter J., and Follows, George A.

Published
2022
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16. Brexucabtagene Autoleucel for Relapsed/Refractory Mantle Cell Lymphoma: Real-World Outcomes in the United Kingdom

Author

O'Reilly, Maeve A, Sanderson, Robin, Wilson, William, Burns, David, Besley, Caroline, Creasey, Thomas, Uttenthal, Ben, Elliot, Johnathon, Roddie, Claire, Kuhnl, Andrea, Paneesha, Shankara, Seymour, Frances, Iyengar, Sunil, Rubio, Lourdes, Wilson, Matthew, Boyle, Stephen, Cheok, Kathleen PL, Collins, Graham P., Johnson, Rod, and McMillan, Andrew K.

Published
2022
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48. Evaluation of classical swine fever virus antibody detection assays with an emphasis on the differentiation of infected from vaccinated animals

Author

Schroeder, S., Rosen, T., Blome, S., Loeffen, W., andy Haegeman, Koenen, F., and Uttenthal, Å

Subjects
Differentiation of infected from vaccinated animals, Swine, Vaccination, Reproducibility of Results, Enzyme-Linked Immunosorbent Assay, Viral Vaccines, Classical swine fever, Antibody ELISA, DIVA, Antibodies, Viral, Vaccines, Attenuated, Marker test, Sensitivity and Specificity, Virology & Molecular Biology, Virologie & Moleculaire Biologie, Classical Swine Fever, Sensitivity, Classical Swine Fever Virus, Specificity, Animals
Abstract

The aim of this study was to evaluate the general characteristics of commercially available enzyme-linked immunosorbent assays (ELISAs) to detect antibody against classical swine fever (CSF), as well as to assess their potential use as accompanying marker tests able to differentiate infected from vaccinated animals (DIVA). The Chekit* CSF-Sero and the HerdChek* CSFV Ab, both of which detect antibodies against the E2 protein of classical swine fever virus (CSFV), had the highest sensitivity. Both tests were practicable and showed good reproducibility. Comparable sensitivity was shown by the Chekit* CSF-Marker, an Erns ELISA. However, this test does not allow differentiation between antibodies directed against ruminant pestiviruses and those against CSFV. Therefore, it is not suitable for use with the chimeric marker vaccines tested. The PrioCHECK CSFV Erns was the only ELISA suitable for use in DIVA with marker vaccines containing Erns proteins from ruminant pestiviruses. However, this test was less sensitive and selective than the E2-ELISAs and cannot be recommended.

Published
2013

49. Advanced-Stage Hodgkin Lymphoma in the East of England Cancer Network: A 10-Year Comparative Analysis of Outcomes for Patients Treated with ABVD or Escalated BEACOPP in the Non-Trial Setting Compared with Age-Matched Patients Treated in the Multinational RATHL Trial

Author

Russell, James, Collins, Angela, Fowler, Alexis, Karanth, Mamatha, Lentell, Isabel, Saha, Chandan, Docherty, Suzanne, Padayatty, Joseph, Maw, Kyaw, Cooke, Lisa, Hodson, Andrew, Shah, Nimish, Sadullah, Shalal, Grigoropoulos, Nicholas, Qian, Wendi, Kirkwood, Amy A, Uttenthal, Benjamin J, Johnson, Peter, and Follows, George A

Published
2017
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