@article{2314, abstract = {Autism spectrum disorders are a genetically heterogeneous constellation of syndromes characterized by impairments in reciprocal social interaction. Available somatic treatments have limited efficacy. We have identified inactivating mutations in the gene BCKDK (Branched Chain Ketoacid Dehydrogenase Kinase) in consanguineous families with autism, epilepsy, and intellectual disability. The encoded protein is responsible for phosphorylation-mediated inactivation of the E1α subunit of branched-chain ketoacid dehydrogenase (BCKDH). Patients with homozygous BCKDK mutations display reductions in BCKDK messenger RNA and protein, E1α phosphorylation, and plasma branched-chain amino acids. Bckdk knockout mice show abnormal brain amino acid profiles and neurobehavioral deficits that respond to dietary supplementation. Thus, autism presenting with intellectual disability and epilepsy caused by BCKDK mutations represents a potentially treatable syndrome.}, author = {Gaia Novarino and El-Fishawy, Paul and Kayserili, Hülya and Meguid, Nagwa A and Scott, Eric M and Schroth, Jana and Silhavy, Jennifer L and Kara, Majdi and Khalil, Rehab O and Ben-Omran, Tawfeg I and Ercan-Sencicek, Adife G and Hashish, Adel F and Sanders, Stephan J and Gupta, Abha R and Hashem, Hebatalla S and Matern, Dietrich and Gabriel, Stacey B and Sweetman, Lawrence and Rahimi, Yasmeen and Harris, Robert A and State, Matthew W and Gleeson, Joseph G}, journal = {Science}, number = {6105}, pages = {394 -- 397}, publisher = {American Association for the Advancement of Science}, title = {{Mutations in BCKD-kinase lead to a potentially treatable form of autism with epilepsy}}, doi = {10.1126/science.1224631}, volume = {338}, year = {2012}, } @article{2318, abstract = {We show that bosons interacting via pair potentials with negative scattering length form bound states for a suitable number of particles. In other words, the absence of many-particle bound states of any kind implies the non-negativity of the scattering length of the interaction potential. }, author = {Seiringer, Robert}, journal = {Journal of Spectral Theory}, number = {3}, pages = {321--328}, publisher = {European Mathematical Society}, title = {{Absence of bound states implies non-negativity of the scattering length}}, doi = {10.4171/JST/31}, volume = {2}, year = {2012}, } @inproceedings{2317, abstract = {We present a summary of our recent rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical analysis, with minimal regularity assumptions, plays an important part in our proof. }, author = {Frank, Rupert L and Hainzl, Christian and Robert Seiringer and Solovej, Jan P}, pages = {575 -- 583}, publisher = {World Scientific Publishing}, title = {{Microscopic derivation of the Ginzburg-Landau model}}, doi = {10.1142/9789814449243_0060}, year = {2012}, } @inproceedings{2316, abstract = {We summarize our recent results on the ground state energy of multi-polaron systems. In particular, we discuss stability and existence of the thermodynamic limit, and we discuss the absence of binding in the case of large Coulomb repulsion and the corresponding binding-unbinding transition. We also consider the Pekar-Tomasevich approximation to the ground state energy and we study radial symmetry of the ground state density. }, author = {Frank, Rupert L and Lieb, Élliott H and Robert Seiringer and Thomas, Lawrence E}, pages = {477 -- 485}, publisher = {World Scientific Publishing}, title = {{Ground state properties of multi-polaron systems}}, doi = {10.1142/9789814449243_0045}, year = {2012}, } @article{237, abstract = {The Manin conjecture is established for Châtelet surfaces over Q aris-ing as minimal proper smooth models of the surface Y 2 + Z 2 = f(X) in A 3 Q, where f ∈ Z[X] is a totally reducible polynomial of degree 3 without repeated roots. These surfaces do not satisfy weak approximation.}, author = {de la Bretèche, Régis and Timothy Browning and Peyre, Emmanuel}, journal = {Annals of Mathematics}, number = {1}, pages = {297 -- 343}, publisher = {Princeton University Press}, title = {{On Manin's conjecture for a family of Châtelet surfaces}}, doi = {10.4007/annals.2012.175.1.8}, volume = {175}, year = {2012}, } @article{238, abstract = {For given positive integers a, b, q we investigate the density of solutions (x, y) ∈ Z2 to congruences ax + by2 ≡ 0 mod q.}, author = {Baier, Stephan and Timothy Browning}, journal = {Functiones et Approximatio, Commentarii Mathematici}, number = {2}, pages = {267 -- 286}, publisher = {Adam Mickiewicz University Press}, title = {{Inhomogeneous quadratic congruences}}, doi = {10.7169/facm/2012.47.2.9}, volume = {47}, year = {2012}, } @inbook{2399, abstract = {Bose–Einstein condensation (BEC) in cold atomic gases was first achieved experimentally in 1995 [1, 6]. After initial failed attempts with spin-polarized atomic hydrogen, the first successful demonstrations of this phenomenon used gases of rubidium and sodium atoms, respectively. Since then there has been a surge of activity in this field, with ingenious experiments putting forth more and more astonishing results about the behavior of matter at very cold temperatures. }, author = {Robert Seiringer}, booktitle = {Quantum Many Body Systems}, editor = {Rivasseau, Vincent and Robert Seiringer and Solovej, Jan P and Spencer, Thomas}, pages = {55 -- 92}, publisher = {Springer}, title = {{Cold quantum gases and bose einstein condensation}}, doi = {10.1007/978-3-642-29511-9_2}, volume = {2051}, year = {2012}, } @article{2394, abstract = {We study the BCS gap equation for a Fermi gas with unequal population of spin-up and spin-down states. For cosh (δ μ/T) ≤ 2, with T the temperature and δμ the chemical potential difference, the question of existence of non-trivial solutions can be reduced to spectral properties of a linear operator, similar to the unpolarized case studied previously in [Frank, R. L., Hainzl, C., Naboko, S., and Seiringer, R., J., Geom. Anal.17, 559-567 (2007)10.1007/BF02937429; Hainzl, C., Hamza, E., Seiringer, R., and Solovej, J. P., Commun., Math. Phys.281, 349-367 (2008)10.1007/s00220-008-0489-2; and Hainzl, C. and Seiringer, R., Phys. Rev. B77, 184517-110 435 (2008)]10.1103/PhysRevB.77.184517. For cosh (δ μ/T) > 2 the phase diagram is more complicated, however. We derive upper and lower bounds for the critical temperature, and study their behavior in the small coupling limit.}, author = {Freiji, Abraham and Hainzl, Christian and Robert Seiringer}, journal = {Journal of Mathematical Physics}, number = {1}, publisher = {American Institute of Physics}, title = {{The gap equation for spin-polarized fermions}}, doi = {10.1063/1.3670747}, volume = {53}, year = {2012}, } @article{2395, abstract = {We give the first rigorous derivation of the celebrated Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close to the critical temperature, GL arises as an effective theory on the macroscopic scale. The relevant scaling limit is semiclassical in nature, and semiclassical analysis, with minimal regularity assumptions, plays an important part in our proof. }, author = {Frank, Rupert L and Hainzl, Christian and Robert Seiringer and Solovej, Jan P}, journal = {Journal of the American Mathematical Society}, number = {3}, pages = {667 -- 713}, publisher = {American Mathematical Society}, title = {{Microscopic derivation of Ginzburg-Landau theory}}, doi = {10.1090/S0894-0347-2012-00735-8}, volume = {25}, year = {2012}, } @article{2396, abstract = {A positive temperature analogue of the scattering length of a potential V can be defined via integrating the difference of the heat kernels of -Δ and, with Δ the Laplacian. An upper bound on this quantity is a crucial input in the derivation of a bound on the critical temperature of a dilute Bose gas (Seiringer and Ueltschi in Phys Rev B 80:014502, 2009). In (Seiringer and Ueltschi in Phys Rev B 80:014502, 2009), a bound was given in the case of finite range potentials and sufficiently low temperature. In this paper, we improve the bound and extend it to potentials of infinite range.}, author = {Landon, Benjamin and Robert Seiringer}, journal = {Letters in Mathematical Physics}, number = {3}, pages = {237 -- 243}, publisher = {Springer}, title = {{The scattering length at positive temperature}}, doi = {10.1007/s11005-012-0566-5}, volume = {100}, year = {2012}, }