Field Arithmetic

Michael D. Fried received his PhD in Mathematics from the University of Michigan in 1967. After postdoctoral research at the Institute for Advanced Study (1967-1969), he became professor at Stony Brook University (8 years), the University of California at Irvine (26 years), the University of Florida (3 years) and the Hebrew University (2 years). He has held visiting positions at MIT, MSRI, the University of Michigan, the University of Florida, the Hebrew University, and Tel Aviv University. He has been an editor of several mathematics journals including the Research Announcements of the Bulletin of the American Mathematical Society and the Journal of Finite Fields and its Applications. His research is primarily in the geometry and arithmetic of families of nonsingular projective curve covers applied to classical moduli spaces using theta functions and l-adic representations. These are especially applied to relating the Regular Inverse Galois Problem and extensions of Serre's Open Image Theorem. He was included in 2013 Class of Fellows of the American Mathematical Society. He was also a Sloan Fellow (1972-1974), Lady Davis Fellow at Hebrew University (1987-1988), Fulbright scholar at Helsinki University (1982-1983), and Alexander von Humboldt Research Fellow (1994-1996).

Moshe Jarden received his PhD in Mathematics from the Hebrew University of Jerusalem in 1970 under the supervision of Hillel Furstenberg. His post-doctoral research was completed during the years 1971-1973 at the Institute of Mathematics, Heidelberg University, where he habilitated in 1972. In 1974, he returned to Israel, and joined the School of Mathematics of Tel Aviv University. He became a full professor in 1982, and the incumbent of the Cissie and Aaron Beare Chair in Algebra and Number Theory in 1998. His research focuses on families of large algebraic extensions of Hilbertian fields. His book Field Arithmetic (1986) earned him the Landau Prize in 1987. For his pioneering work, and especially his long term cooperation with German mathematicians, he was awarded the L. Meithner-A.v.Humboldt Prize by the Alexander von Humboldt Foundation in 2001. He is the author of "Algebraic Patching", a Springer Monographs in Mathematics book and a joint author with Dan Haran of another book "The Absolute Galois group of a Semi-Local Fields" of the above-mentioned Springer Monographs in Mathematics.

Michael D. Fried於1967年在密西根大學獲得數學博士學位。經過在高等研究院的博士後研究（1967-1969），他成為了石溪大學的教授（8年）、加州大學爾灣分校的教授（26年）、佛羅里達大學的教授（3年）以及希伯來大學的教授（2年）。他曾在麻省理工學院、數學研究所、密西根大學、佛羅里達大學、希伯來大學和特拉維夫大學擔任訪問職位。他曾擔任多本數學期刊的編輯，包括《美國數學學會公報》的研究公告和《有限域及其應用期刊》。他的研究主要集中在無奇異射影曲線覆蓋的幾何和算術上，應用於使用theta函數和l-adic表示的經典模空間。這些研究特別應用於將正則逆伽羅瓦問題與Serre的開放映像定理的擴展相關聯。他於2013年被納入美國數學學會的Fellows名單。他還曾是斯隆研究員（1972-1974）、希伯來大學的Lady Davis研究員（1987-1988）、赫爾辛基大學的富布賴特學者（1982-1983），以及亞歷山大·馮·洪堡研究員（1994-1996）。

Moshe Jarden於1970年在耶路撒冷希伯來大學獲得數學博士學位，指導教授為Hillel Furstenberg。他的博士後研究於1971年至1973年間在海德堡大學的數學研究所完成，並於1972年獲得資格認證。1974年，他返回以色列，加入特拉維夫大學數學系。1982年，他成為全職教授，並於1998年擔任Cissie和Aaron Beare代數與數論講座的教授。他的研究專注於Hilbertian域的大型代數擴展家族。他的著作《Field Arithmetic》（1986）於1987年獲得Landau獎。因其開創性工作，特別是與德國數學家的長期合作，他於2001年獲得亞歷山大·馮·洪堡基金會頒發的L. Meithner-A.v.Humboldt獎。他是《Algebraic Patching》的作者，這是一本斯普林格數學專著，並與Dan Haran共同撰寫了另一部名為《半局部域的絕對伽羅瓦群》的書，該書同樣屬於斯普林格數學專著系列。