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Arithmetic of Shimura curves

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Science China mathematics 2010年第3期53卷 573-592页

作者： ZHANG Shou-Wu department of mathematics, Columbia {2., new york, ny 1002., usa department of mathematics Columbia University New York USA

This is the note for a series of lectures that the author gave at the Centre de Recerca Matemtica (CRM), Bellaterra, Barcelona, Spain on October 19–2., 2.09. The aim is to give a comprehensive description of some recent work of the author and his students on generalisations of the Gross-Zagier formula, Euler systems on Shimura curves, and rational points on elliptic curves.

关键词： Shimura curves CM-points L-series

On the Birch-Swinnerton-Dyer Conjecture of Elliptic Curves E_D:y^2.x^3-D^2.

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Acta Mathematica Sinica,English Series 2000年第2期16卷 229-236页

作者： Delang Li department of mathematics,Sichuan Union {2.,Chengdu 610064,P.R.China Ye Tian department of mathematics,Columbia {2.,new york,ny 1002.,usa department of mathematics Sichuan Union University Chengdu 610064 P. R. China department of mathematics Columbia University New York NY 10027 USA

We prove in this paper that the BSD conjecture holds for a certain kind of elliptic curves.

关键词： Elliptic curve BSD conjecture Graph 2.component

Summary of a Life in Observational Ultraviolet/Optical Astronomy

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Research in Astronomy and Astrophysics 2024年第1期24卷 1-43页

作者： Donald G.york department of Astronomy and Astrophysics The University of Chicago5801 South Ellis Ave.Chicago 60637ILUSA

I reminisce on my early life in Section 1;on my education in Sections 2.and 3;on the years at Princeton as a research astronomer in Section 4;on the years on the faculty at Chicago in Section 5;on research on Diffuse Interstellar Bands(DIBs) in Section 6;on construction of the 3.5 m telescope at Apache Point Observatory(APO)in Section 7;on work on the Sloan Digital Sky Survey(SDSS) in Section 8;on work in public education in Chicago in Section 9;and on my travels in Section 10. My main science research is of an observational nature,concerning Galactic and intergalactic interstellar gas. Highlights for me included my work on the orbiting telescope Copernicus, including the discovery of interstellar deuterium;early observations of absorption associated with fivetimes ionized oxygen;and discoveries concerning the phases of gas in the local interstellar medium, based on previously unobservable interstellar UV spectral lines. With other instruments and collaborations, I extended interstellar UV studies to the intergalactic cool gas using quasi-stellar object QSO absorption lines redshifted to the optical part of the spectrum;provided a better definition of the emission and morphological character of the source of absorption lines in QSO spectra;and pursued the identification of the unidentified DIBs. For several of these topics, extensive collaborations with many scientists were essential over many years. The conclusions developed slowly, as I moved from being a graduate student at Chicago, to a research scientist position at Princeton and then to a faculty position at Chicago. At each stage of life, I was exposed to new technologies adaptable to my science and to subsequent projects. From high school days, I encountered several management opportunities which were formative. I have been extremely fortunate both in scientific mentors I had and in experimental opportunities I encountered.

关键词： Interstellar Medium(ISM) Nebulae (galaxies:)quasars:absorption lines ultraviolet:stars

Randomization of Q_(p) spaces on the unit ball of C^(n)

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Science China mathematics 2005年第Z1期48卷 306-317页

作者： LI Bo & OUYANG Caiheng department of mathematics, State {2. of new york at Buffalo, Buffalo, ny 142.0, usa Wuhan Institute of Physics and mathematics, Chinese Academy of Sciences, Wuhan 430071, China department of mathematics State University of New York at Buffalo Buffalo USA Wuhan Institute of Physics and mathematics Chinese Academy of Sciences Wuhan China

In this paper, we study the random power series of several complex variables,and give some sufficient conditions for random power series to belong to Qp and Qp,0spaces by means of their characterizations of Carleson m... 详细信息

关键词： random power series, function spaces, the unit ball.

Aggregation and assembly of crescent foldamers

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Science China Chemistry 2010年第1期53卷 45-51页

作者： GONG Bing department of Chemistry,university at Buffalo,The State university of new york,Buffalo,new york 142.0,usa department of Chemistry University at Buffalo The State University of New York Buffalo USA

Recent studies have started to provide initial insights into the aggregation and assembly of two classes of back-rigidified foldamers with flat,curved backbones consisting of aromatic *** their persistent shape that presents large,well-defined aromatic surface areas,these crescent foldamers were found to undergo size-dependent aggregation in solution and pack into 1D assemblies in the solid *** aromatic oligoamides undergo stacking interactions not only in polar solvents but also in nonpolar ones,a unique property that is not associated with many other molecules that associate via π-π stacking *** stacking of oligo(m-phenylene ethynylenes) is similar to aromatic hydrocarbons,being promoted in polar solvents such as methanol while being discouraged in nonpolar solvents such as *** ready synthetic availability of crescent foldamers makes it possible to directly control the intermolecular interaction by tuning surface ***,the columnar assembly of these cavity-containing molecules provides a new strategy for constructing supramolecular nanotubular structures.

关键词： foldamer folding hydrogen bond π-π stacking aggregation assembly

On the Uniqueness of Heat Flow of Harmonic Maps and Hydrodynamic Flow of Nematic Liquid Crystals

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Chinese Annals of mathematics,Series B 2010年第6期31卷 921-938页

作者： Fanghua LIN Changyou WANG Courant Institute of Mathematical Sciences New York University New York NY 10012 USA department of mathematics University of Kentucky Lexington KY 40506 USA.

For any n-dimensional compact Riemannian manifold (M,g) without boundary and another compact Riemannian manifold (N,h), the authors establish the uniqueness of the heat flow of harmonic maps from M to N in the class C([0,T),W1,n). For the hydrodynamic flow (u,d) of nematic liquid crystals in dimensions n = 2.or 3, it is shown that the uniqueness holds for the class of weak solutions provided either (i) for n = 2. u ∈ Lt∞ L2.∩L2.Hx1, ▽P∈ Lt4/3 Lx4/3 , and ▽d∈ L∞t Lx2.Lt2.x2. or (ii) for n = 3, u ∈ Lt∞ Lx2.L2.Hx1∩ C([0,T),Ln), P ∈ Ltn/2.Lxn/2., and ▽d∈ L2.Lx2.∩ C([0,T),Ln). This answers affirmatively the uniqueness question posed by Lin-Lin-Wang. The proofs are very elementary.

关键词： Hydrodynamic flow Harmonic maps Nematic liquid crystals Uniqueness

Role of oxyR from Sinorhizobium meliloti in Regulating the Expression of Catalases

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Acta Biochimica et Biophysica Sinica 2005年第6期37卷 421-428页

作者： Li EUO~(1.3) Ming-Sheng QI~(1.3) Shi-Yi YAO~2.Hai-Ping CHENG~2.Jia-Bi ZHU~1 Guan-Qiao YU~1 1 National Laboratory of Plant Molecular Genetics, Institute of Plant Physiology and Ecology, Shanghai Institutes for Biological Sciences.Chinese Academy of Sciences, Shanghai 2.0032. China 2.Biological Sciences department, Lehman college, the {2., Bronx, ny 10468. usa, 3 Graduate School of the Chinese Academy of Sciences, Shanghai 2.0032. China National Laboratory of Plant Molecular Genetics Institute of Plant Physiology and Ecology Shanghai Institutes for Biological Sciences Chinese Academy of SciencesShanghai 200032 China Graduate School of the Chinese Academy of SciencesShanghai 2.0032 China Biological Sciences department Lehman College the City University of New YorkBronx NY 10468 USA

The process of symbiotic nitrogen fixation results in the generation of reactive oxygen speciessuch as the superoxide anion（O2.）and hydrogen peroxide（H2.2..The response of rhizobia to these toxicoxygen species is an important factor in nodulation and nitrogen *** Sinorhizobium meliloti,oneoxyR homologue and three catalase genes,katA,katB,and katC were detected by sequence *** gene is located next to and divergently from katA on the *** investigate the possible rolesof oxyR in regulating the expression of catalases at the transcriptional level in ***,an insertion mutantof this gene was *** mutant was more sensitive and less adaptive to H2.2.han the wild typestrain,and total catalase/peroxidase activity was reduced approximately fourfold with the OxyR mutationrelative to *** activities of KatA and KatB and the expression of katA::lacZ and katB::lacZ promoterfusions were increased in the mutant strain compared with the parental strain grown in the absence of H2.2.indicating that katA and katB are repressed by ***,when exposed to H2.2.katA expressionwas also increased in both *** and Escherichia *** exposed to H2.2.OxyR is convertedfrom a reduced to an oxidized form in *** concluded that the reduced form of OxyR functions as arepressor of katA and katB ***,in the presence of H2.2.reduced OxyR is converted to theoxidized form of OxyR that then results in increased katA *** further showed that oxyR expressionis autoregulated via negative feedback.

关键词： Sinorhizobium meliloti OxyR catalase katA H2.2

The Qa-1 Dependent CD8^+ T Cell Mediated Regulatory Pathway

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Cellular & Molecular Immunology 2005年第3期2卷 161-167页

作者： Hong Jiang~(1,2. ~1department of Medicine,Division of Rheumatology,college of Physicians & Surgeons,Columbia {2.,usa ~2.orresponding to:Dr.Hong Jiang,department of Medicine,Division of Rheumatology,college of Physicians & Surgeons,Columbia {2.,630 W.168th Street,PH 8-E Ste.101,new york,ny 10032.usa. department of Medicine Division of Rheumatology College of Physicians & Surgeons Columbia University New York NY 10032 USA. HJ4@columbia.edu

The immune system has evolved a variety of regulatory mechanisms to ensure the peripheral self-tolerance as well as the optimal capacity to elicit effective anti-infection immunity. At present, there is no satisfactory conceptual framework to explain how the peripheral immunity is regulated at a biological system level, which enables the immune system to perform its essential functions to mount effective immunity to virtually any foreign antigens but avoid harmful immune responses to self. In this regard, during the past few years, an “affinity/avidity model of peripheral T cell regulation” has been proposed and tested, which opens up a new paradigm to understand how the peripheral immunity, to both self and foreign antigens, is regulated. The paradigm is based on the discovery of a subset CD8^＋ T cells with TCRs which specifically recognize a unique set of self-peptides presented by the MHC class Ib molecule Qa-I differentially expressed on T cells as a function of the affinity/avidity of T cell activation. These Qa-1 restricted CD8^＋ T cells represent an example of how the immune system utilizes a unified mechanism to regulate adaptive immunity to both self and foreign antigens. Thus, by selectively down-regulating T cells of intermediate affinity/avidity, to any antigens, the immune system controls the adaptive immunity without the necessity to distinguish self from non-self in the periphery at the level of T cell regulation. Cellular ＆ Molecular Immunology. 2.05;2.3）：161-167.

关键词： T cell regulation CD8^+ T cell affinity/avidity Qa- 1 TCR

A conceptual evolutionary aseismic decision support framework for hospitals

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Earthquake Engineering and Engineering Vibration 2012年第4期11卷 499-512页

作者： Yufeng Hu Gary F. Dargush Xiaoyun Shao department of Civil and Construction Engineering Western Michigan UniversityKalamazoo department of Mechanical and Aerospace Engineering University at BuffaloState University of New YorkBuffalo

In this paper, aconceptual evolutionary framework for aseismic decision support for hospitalsthat attempts to integrate a range of engineering and sociotechnical models is presented. Genetic algorithms are applied to find the optimal decision sets. A case study is completed to demonstrate how the frameworkmay applytoa specific *** simulations show that the proposed evolutionary decision support framework is able to discover robust policy sets in either uncertain or fixed environments. The framework also qualitatively identifies some of the characteristicbehavior of the critical care organization. Thus, by utilizing the proposedframework, the decision makers are able to make more informed decisions, especially toenhance the seismic safety of the hospitals.

关键词： decision making seismic engineering hospital genetic algorithms