加州大學(xué)洛杉磯分校數(shù)字理論

指南者留學(xué) 2022-04-18 00:18:42

UCLA的全稱是University of California, Los Angeles的Number Theory，即加州大學(xué)洛杉磯分校數(shù)字理論，下面將詳細(xì)介紹UCLA的的項(xiàng)目特點(diǎn)/院系介紹、UCLA的的研究領(lǐng)域、UCLA的的研究生申請要求。

UCLA的「加州大學(xué)洛杉磯分校數(shù)字理論」

加州大學(xué)洛杉磯分校

UCLA的培養(yǎng)計(jì)劃

The UCLA Number Theory group researches topics in the arithmetic theory of modular forms, automorphic forms, their associated L-functions, both classical and p-adic. The group has 4 permanent faculty: Don Blasius, William Duke, Haruzo Hida, and Chandrashekhar Khare. Each has worked broadly in number theory and settled key conjectures as well as introducing new topics of study. As a case in point, Hida's theory of (ordinary) p-adic families, and the theories to which it gave rise (due to Mazur and Coleman) are now both an independent area of research of mathematicians worldwide, and a powerful tool for applications, e.g. to Galois representations and p-adic L-functions. Likewise, Khare, with Wintenberger, proved Serre's Conjecture on modular forms. Since that proof, the extension of the conjecture to automorphic forms has taken hold and stimulated a great deal of research.

UCLA的課程介紹（英文版）

1、arithmetic theory of modular forms

2、 arithmetic theory of automorphic forms

3、arithmetic theory of associated L-functions

4、, arithmetic theory of both classical and p-adic

5、

UCLA的課程介紹（中文版）

1、模塊化形式的算術(shù)理論

2、自守形式的算術(shù)理論

3、相關(guān)的L-函數(shù)的算術(shù)理論

4、古典又p-adic的算術(shù)理論

5、

UCLA的申請要求

托福87分，單項(xiàng)最低要求寫作25，口語24，閱讀21，聽力17或雅思7分，GRE，GPA：MA本科綜合不低于3.0，數(shù)學(xué)專業(yè)課不低于3.2,PhD本科綜合不低于3.0，本科數(shù)學(xué)專業(yè)課不低于3.5，研究生不低于3.5（如已讀研），學(xué)費(fèi)：PhD$30,410，MA$30,390，申請截止日期12月15日

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加州大學(xué)洛杉磯分校 數(shù)字理論 
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