DoctoralThesesSupervisedByAGrothendieck 2009-02-04 05:26:01 2009-02-04 05:27:32 Topic Grothendieck supervised doctoral theses theses supervised by A. Grothendieck % almost certainly you want these \usepackage{amssymb} \usepackage{amsmath} \usepackage{amsfonts} % define commands here \usepackage{amsmath, amssymb, amsfonts, amsthm, amscd, latexsym} \usepackage{xypic} \usepackage[mathscr]{eucal} \theoremstyle{plain} \newtheorem{lemma}{Lemma}[section] \newtheorem{proposition}{Proposition}[section] \newtheorem{theorem}{Theorem}[section] \newtheorem{corollary}{Corollary}[section] \theoremstyle{definition} \newtheorem{definition}{Definition}[section] \newtheorem{example}{Example}[section] %\theoremstyle{remark} \newtheorem{remark}{Remark}[section] \newtheorem*{notation}{Notation} \newtheorem*{claim}{Claim} \renewcommand{\thefootnote}{\ensuremath{\fnsymbol{footnote%%@ }}} \numberwithin{equation}{section} \newcommand{\Ad}{{\rm Ad}} \newcommand{\Aut}{{\rm Aut}} \newcommand{\Cl}{{\rm Cl}} \newcommand{\Co}{{\rm Co}} \newcommand{\DES}{{\rm DES}} \newcommand{\Diff}{{\rm Diff}} \newcommand{\Dom}{{\rm Dom}} \newcommand{\Hol}{{\rm Hol}} \newcommand{\Mon}{{\rm Mon}} \newcommand{\Hom}{{\rm Hom}} \newcommand{\Ker}{{\rm Ker}} \newcommand{\Ind}{{\rm Ind}} \newcommand{\IM}{{\rm Im}} \newcommand{\Is}{{\rm Is}} \newcommand{\ID}{{\rm id}} \newcommand{\GL}{{\rm GL}} \newcommand{\Iso}{{\rm Iso}} \newcommand{\Sem}{{\rm Sem}} \newcommand{\St}{{\rm St}} \newcommand{\Sym}{{\rm Sym}} \newcommand{\SU}{{\rm SU}} \newcommand{\Tor}{{\rm Tor}} \newcommand{\U}{{\rm U}} \newcommand{\A}{\mathcal A} \newcommand{\Ce}{\mathcal C} \newcommand{\D}{\mathcal D} \newcommand{\E}{\mathcal E} \newcommand{\F}{\mathcal F} \newcommand{\G}{\mathcal G} \newcommand{\Q}{\mathcal Q} \newcommand{\R}{\mathcal R} \newcommand{\cS}{\mathcal S} \newcommand{\cU}{\mathcal U} \newcommand{\W}{\mathcal W} \newcommand{\bA}{\mathbb{A}} \newcommand{\bB}{\mathbb{B}} \newcommand{\bC}{\mathbb{C}} \newcommand{\bD}{\mathbb{D}} \newcommand{\bE}{\mathbb{E}} \newcommand{\bF}{\mathbb{F}} \newcommand{\bG}{\mathbb{G}} \newcommand{\bK}{\mathbb{K}} \newcommand{\bM}{\mathbb{M}} \newcommand{\bN}{\mathbb{N}} \newcommand{\bO}{\mathbb{O}} \newcommand{\bP}{\mathbb{P}} \newcommand{\bR}{\mathbb{R}} \newcommand{\bV}{\mathbb{V}} \newcommand{\bZ}{\mathbb{Z}} \newcommand{\bfE}{\mathbf{E}} \newcommand{\bfX}{\mathbf{X}} \newcommand{\bfY}{\mathbf{Y}} \newcommand{\bfZ}{\mathbf{Z}} \renewcommand{\O}{\Omega} \renewcommand{\o}{\omega} \newcommand{\vp}{\varphi} \newcommand{\vep}{\varepsilon} \newcommand{\diag}{{\rm diag}} \newcommand{\grp}{{\mathbb G}} \newcommand{\dgrp}{{\mathbb D}} \newcommand{\desp}{{\mathbb D^{\rm{es}}}} \newcommand{\Geod}{{\rm Geod}} \newcommand{\geod}{{\rm geod}} \newcommand{\hgr}{{\mathbb H}} \newcommand{\mgr}{{\mathbb M}} \newcommand{\ob}{{\rm Ob}} \newcommand{\obg}{{\rm Ob(\mathbb G)}} \newcommand{\obgp}{{\rm Ob(\mathbb G')}} \newcommand{\obh}{{\rm Ob(\mathbb H)}} \newcommand{\Osmooth}{{\Omega^{\infty}(X,*)}} \newcommand{\ghomotop}{{\rho_2^{\square}}} \newcommand{\gcalp}{{\mathbb G(\mathcal P)}} \newcommand{\rf}{{R_{\mathcal F}}} \newcommand{\glob}{{\rm glob}} \newcommand{\loc}{{\rm loc}} \newcommand{\TOP}{{\rm TOP}} \newcommand{\wti}{\widetilde} \newcommand{\what}{\widehat} \renewcommand{\a}{\alpha} \newcommand{\be}{\beta} \newcommand{\ga}{\gamma} \newcommand{\Ga}{\Gamma} \newcommand{\de}{\delta} \newcommand{\del}{\partial} \newcommand{\ka}{\kappa} \newcommand{\si}{\sigma} \newcommand{\ta}{\tau} \newcommand{\lra}{{\longrightarrow}} \newcommand{\ra}{{\rightarrow}} \newcommand{\rat}{{\rightarrowtail}} \newcommand{\oset}[1]{\overset {#1}{\ra}} \newcommand{\osetl}[1]{\overset {#1}{\lra}} \newcommand{\hr}{{\hookrightarrow}} \subsection{Doctoral theses supervised by Alexander Grothendieck} \PMlinkexternal{(original list is in French)}{http://www.math.jussieu.fr/~leila/grothendieckcircle/theses.pdf} \subsubsection{An incomplete list of doctoral theses directed by A. Grothendieck} \begin{enumerate} \item Schemes of reductive groups, by M. Demazure [1] Sch\'emas en groupes r\'eductifs; short version of the thesis by M. Demazure, published in \emph{Bull. SMF. M\'em} {\bf 93} (1965), 369-413. (Demazure's thesis is published ``in totto'' in SGA 3. \item Derived categories in $l$-adic cohomology. [2] Cat\'egories d\'eriv\'ees en cohomologie l'-adique, (1969), thesis of J.-P. Jouanolou. \item Ample sheaves over group schemes and homogeneous spaces, thesis of Michel Raynaud, published in Springer \emph{Lecture Notes} {\bf119} (1970). [3] Faisceaux amples sur les sch\'emas en groupes et espaces homog\'enes; thesis of Michel Raynaud. \item Lefschetz theorems in coherent cohomology nad etale cohomology; [4] Th\`eor\'emes de Lefschetz en cohomologie coh\'erente et en cohomologie \'etale; thesis of Mich\'ele Raynaud, Bull. SMF M\'em. 41 (1976). \item Complexe cotangent et d\'eformations, Springer \emph{Lecture Notes} {\bf 239} (1971); thesis of Luc Illusie. \item (On) \emph{Tannakian Categories}, Thesis by Saavedra Rivano, published in Springer \emph{Lecture Notes}, 265 (1972). [6] Cat\'egories Tannakiennes, Springer Lecture Notes 265 (1972); thesis of Saavedra Rivano. \item \emph{Non-Abelian Cohomology}, Thesis by J. Giraud. [7] Cohomologie non ab\'elienne, \emph{Grundlehren Math. Wiss.} 179 (1972), Springer; thesis of J. Giraud. \item Ring Topos and relative schemes, Thesis by Monique Hakim. [8] Topos annel\'es et sch\'emas relatifs, \emph{Ergebnisse Math. Gr.} {\bf 64} (1972), Springer; thesis of Monique Hakim. \item Cohomologie cristalline, Springer Lecture Notes 407 (1974); thesis of Pierre Berthelot. \item Derived Categories and Abelian Categories, Thesis by Jean-Louis Verdier., [10] Des cat\'egories d\'eriv\'ees des cat\'egories ab\'eliennes; thesis of Jean-Louis Verdier, later published in \emph{Ast\'erisque} {\bf 239} (1996), SMF (G. Maltsiniotis, ed.) \item \emph{Grothendieck Categories}, Thesis of Hong Suan Xsin. [11] Gr-Categories; thesis of Hong Suan Xsin. \item Isotopic study of embeddings of a topological $1$-complex into a complex surface; thesis of Yves Ladegaillerie, short version published in \emph{Topology} {\bf 23} no. 3(1984), 303-311. \item Jacobiennes g\'en\'eralis\'ees globales relatives; thesis of Carlos Contou-Carr\'ere, short version published in the \emph{Grothendieck Festschrift}, vol. II (1990). \end{enumerate}