本篇分享16位菲爾茲獎獲獎者的博士論文。這些論文收錄在ProQuest全球博碩士論文資料庫(ProQuest Dissertations & Theses Global,簡稱PQDT Global) 資料庫中,讀者可通過該庫查閱,利用這些高品質的博士論文。

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獲獎名單與畢業院校資訊(部分)

Rota’s conjecture and positivity of algebraic cycles in permutohedral varieties
作者:Huh, June(許埈珥)
導師:Mustata, Mircea
畢業院校:University of Michigan
學科分類:0405: Mathematics
論文連結:https://www.proquest.com/pqdtglobal/docview/1652005533/
Topics in analytic number theory
作者:Maynard, James
導師:Roger Heath-Brown
畢業院校:University of Oxford
學科分類:0642: Theoretical Mathematics
論文連結:https://www.proquest.com/pqdtglobal/docview/1683347566/(文摘)
Topics in modern algebraic geometry
作者:Birkar, Caucher
畢業院校:The University of Nottingham
學科分類:0405: Mathematics
論文連結:https://www.proquest.com/pqdtglobal/docview/301607611/(文摘)
Limiting forms of the trace formula
作者:Venkatesh, Akshay
導師:Sarnak, Peter
畢業院校:Princeton University
學科分類:0405: Mathematics
論文連結:https://www.proquest.com/pqdtglobal/docview/305548700/
Higher composition laws
作者:Bhargava, Manjul
導師:Wiles, Andrew
畢業院校:Princeton University
學科分類:0405: Mathematics
論文連結:https://www.proquest.com/pqdtglobal/docview/304722465/
Simple geodesics on hyperbolic surfaces and the volume of the moduli space of curves
作者:Mirzakhani, Maryam
導師:McMullen, Curtis T.
畢業院校:Harvard University
學科分類:0405: Mathematics
論文連結:https://www.proquest.com/pqdtglobal/docview/305191605/
Spectral analysis of Julia sets
作者:Smirnov, Stanislav K.
導師:Makarov, N. G.
畢業院校:California Institute of Technology
學科分類:0405: Mathematics
論文連結:https://www.proquest.com/pqdtglobal/docview/304234636/
Three regulatory results in harmonic analysis
作者:Tao, Terence Chi-Shen(陶哲軒)
導師:Elias Stein(斯坦因)
畢業院校:Princeton University
學科分類:0405: Mathematics
論文連結:https://www.proquest.com/pqdtglobal/docview/304258346/
Homology of schemes and covariant motives
作者:Voevodsky, Vladimir
導師:David Kazhdan
畢業院校:Harvard University
學科分類:0405: Mathematics
論文連結:https://www.proquest.com/pqdtglobal/docview/303973224/
The leech lattice and other lattices
作者:Borcherds, R.
導師:John Horton Conway
畢業院校:University of Cambridge
學科分類:0405: Mathematics
論文連結:https://www.proquest.com/pqdtglobal/docview/1767375974/(索引)
Symmetric structures in banach spaces
作者:Gowers, William T.
導師:Béla Boll
畢業院校:University of Cambridge
學科分類:0405: Mathematics
論文連結:https://www.proquest.com/pqdtglobal/docview/1822121940/(文摘)
Families Of Rational Maps and Iterative Root-Finding Algorithms (Dynamics, Complex Analysis, Newton’s Method)
作者:Mcmullen, Curtis Tracy
畢業院校:Harvard University
學科分類:0405: Mathematics
論文連結:https://www.proquest.com/pqdtglobal/docview/303340576/
Reciprocity Laws and the Conjecture of Birch and Swinnerton-Dyer
作者:Wiles, A. J.
導師:John Coates
畢業院校:University of Cambridge
學科分類:0405: Mathematics
論文連結:https://www.proquest.com/pqdtglobal/docview/1773602829/(索引)
Some Problems in the Short Distance Analysis of Gauge Theories
作者:Witten Edward
導師:David Gross
畢業院校:Princeton University
學科分類:0798: Particle physics
論文連結:https://www.proquest.com/pqdtglobal/docview/302811319/
The Yang-Mills equations on Kahler manifolds
作者:Donaldson, S.K.
導師:Michael Atiyah; Nigel Hitchin
畢業院校:University of Oxford
學科分類:0405: Mathematics
論文連結:https://www.proquest.com/pqdtglobal/docview/301466823/(索引)
Codimension-Two Surgery
作者:Freedman, Michael Hartley
導師:William Browder
畢業院校:Princeton University
學科分類:0405: Mathematics
論文連結:https://www.proquest.com/pqdtglobal/docview/302659895/
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