\title{A List of All of My Papers} \author{William Stein} \date{April, 1998} \begin{document} \maketitle \begin{abstract} I sat down one night and sorted through all of my papers. This list is the result. \end{abstract} \begin{verbatim} adler, notes on flt agash, the dual abelian variety: construction alphabets, a list of the alphabets used in math typesetting altman, compactifying the picard scheme altman, kleiman, compactifying the picard scheme II andrews, euler's pentagonal number theorem andrews, multiple series rogers-ramanujan type identities apostol, vu, dirichlet series related to the riemann zeta function artin, versal deformations and algebraic stacks artin, winters, degenerate fibres and stable reduction of curves ash, mod p cohomology of gl(n,z) and galois representations ash, stevens, modular forms in characteristic l and special values of their l-functions atiya, wall, cohomology of groups, chapter 4 of cassells-frohlich = g.c. part of serre's local fields atiyah, the role of algebraic topology in mathematics atkin, lehner, hecke operators on gamma_0(m) baker, an introduction to class field theory (old copy) baker, t_1,...,t_g generating the hecke algebra baker, wiel pairings bashmakov, the cohomology of abelian varieties over a number field berkeley prelim problems bertolini, darmon, heegner points, p-adic l-functions, and the cerednik-drinfeld uniformization bertolini, darmon, kolyvagin's descent and mordell-weil groups over ring class fields bertolini, darmon, kolyvagin's descent and mordell-weil groups over ring class fields bertolini, darmon, non-triviality of families of heegner poitns and ranks of selmer groups over anticyclotomic towers besser, euler systems for higher-weight modular forms besser, on the finiteness of sha for motives associated to modular forms besser, on the kolyvagin cup product birch, conjectures concerning elliptic curves birch, cyclotomic fields and kummer extensions birch, elliptic curves over q: a progress report blasius, on the critical values of hecke l-series bloch, a note on height pairings, tamagawa numbers, and the birch and swinnerton-dyer conjecture bloch, algebraic k-theory and classfield theory for arithmetic surfaces bosch, abelian varieties from the rigid analytic viewpoint boston, a refinement of the faltings-serre method boston, lenstra, ribet, quotients of group rings arising from two-dimensional representations bremner, on diagonal cubic surfaces bremner, on euler's quartic surface bremner, some quartic curves with no points in any cubic field brinkhuis, bart de smit, cyclotomic fields exercises brownawell, masser, vanishing sums in function fields buhler, gross, zagier, on the conjecture of birch and swinnerton-dyer for an elliptic curve of rank 3 (explicity computational stuff) buium, differential algebraic geometry and diophantine geometry: an overview buzzard, an email about zp tensor zp not being noetherian buzzard, integral modesl of certain shimura curves buzzard, letters on euler systems from kevin buzzard, on euler systems and rubin's kolyvagin paper buzzard, some of his thesis in a blue dossier buzzard, summary of cyclotomic euler system stuff cantor, computing in the jacobian of a hyperelliptic curve cantor, on the analogue of the division polynomials for hyperelliptic curves carlitz, a note on wolstenholme's theorem (has to do with 1+1/2+1/3+1/4+...) casselman, on representations of gl_2 and the arithmetic of modular curves cassels, arithmetic on curves of genus 1, I. on a conjecture of selmer. cassels, arithmetic on curves of genus 1, III. the tate-shafarevich group and selmer groups cassels, arithmetic on curves of genus 1, IV, proof of the hauptvermutung, cassels, arithmetic on curves of genus 1, V. two counterexamples (order\neq index, ?), letter from bjorn poonen stapled on back cassels, arithmetic on curves of genus 1: sha can be arbitrarily large cassels, arithmetic on elliptic curves cassels, guy, on the hasse principle for cubic surfaces chai, norman, bad reduction of the seigel moduli scheme of genus two with gamma_0(p)-level structure coates and mcconnel, iwasawa theory of modular elliptic curves of analytic rank at most 1 coleman, duality for the de rham cohomology of an abelian scheme coleman, effective chabauty coleman, hodge-tate periods and p-adic abelian integrals coleman, iovita, the frobenius and monodromy operators for curves and abelian varieties coleman, p-adic pertubations and modular forms coleman, torsion points on modular curves colloit-thelene, swinnerton-dyer, hasse principle and weak approximation for pencils of severi-brauer and similar varieties coray, algebraic points on cubic hypersurfaces csirik, list of spectral sequences references csirik, on the characteristic polynomials of the hecke operator t_2 on s_k(sl_2(z),c) csirik, qualifying exam syllabus daberkow, fieker, kluners, pohst, roegner, schornig, wildanger, kant v4: (a paper on kant!) darmon, euler systems and refined conjectures of birch and swinnerton-dyer type darmon, faltings plus epsilon, wiles plus epsilon, and the generalized fermat equation darmon, hyperelliptic curves, hilbert modular forms, and fermat's last theorem darmon, merel, winding quotients and some variants of fermat's last theorem darmon, notes to me about genus one curves debarre, klassen, points of low degree on smooth plane curves delign, mumford, the irreducibility of the space of curves of given genus delign, rapoport, les schemas de modules de courbes elliptiques deligne, varietes abeliennes ordinaires sur un corps fini diamond, kramer, modularity of a family of elliptic curves diamond, the refined conjecture of serre diamond, the taylor-wiles construction and multiplicity one edixhoven, neron models and tame ramification edixhoven, rational torsion points on elliptic curves over number fields [after kamienny and mazur] edixhoven, serre's conjecture edixhoven, the weight in serre's conjectures on modular forms ekedahl, on supersingular curves and abelian varieties elkies, math 259: introduction to analytic number theory elkies, on a^4+b^4+c^4=d^4 (he finds infinitely many solutions on it disproving a case of an euler conjecture) elkies, the existence of infinitely many supersingular primes for every elliptic curve over q ellis, the story of non-secret encryption (looks like notes for a talk on public key cryptosystems) estrada-sarlabous, on the jacobian varieties of picard curves defined over fields of characteristic p>0 falk, some papers and emails on hyperplane arrangements fermigier, zeros des fonctions l de courbes elliptiques flach, a finiteness theorem for the symmetric square of an elliptic curve flach, a generalisation of the cassels-tate pairing fontaine, formes differentielles et modules de tate des varieties abeliennes sur les corps locaux fontaine, letter to jannsen in which he proves that his conjecture about p-adic monodromy is really true fontaine, messing, p-adic periods and p-adic etale cohomology fontaine, messing, p-aidc periods and p-adic etale cohomology frey, construction and arithmetical applications of modular forms of low weight frietag, kiehl, etale cohomology and the weil conjectures (just up to page 25 or so) geemen, kallen, top, verberkmoes, hecke eigenforms in the cuspidal cohomology of the congruence subgroups of sl(3,z) gelbart, automorphic forms and artin's conjecture goldman, millson, eichler-shimura homology and the finite generation of cusp forms by hyperbolic poincare series gonzalez, hasse-witt matrices for the fermat curves of prime degree gross, a tameness criterion for galois representations associated to modular forms (mod p) gross, kolyvagin's work on modular elliptic curves gross, rohrlich, some results on the mordell-weil group of the jacobian of the fermat curve gross, zagier, heegner points and derivatives of l-series (just the start and end...) grothendieck, fondements de la geometrie algebrique, extraits du sem. bourbaki, 1957-62 (it looks hard, whatever it is...) gruenberg, profinite groups (chapter 5 of cassels-frohlich) handouts, AMS BeNeLux Congress, the antwerp joint ams meeting in belgium, summer 1996. handouts, abc conjecture workshop, tucson, march 1998 handouts, conference: seattle mathfest handouts, conference: symposium on the riemann hypothesis (in seattle, right after mathfest) handouts, from the dc conference, spring 1996 handouts, jami conference at john hopkins, march 97 handouts, newton institute and cambridge, march 1998 handouts, notes, lille conference in france, summer 1996 handouts, winter 1997 ams meeting, san diego handouts/notes, asilomar, winter 1995 harase, on the index-period problem for algebraic curves and abelian varieties harris, higgins, prime generators with parabolic limits hartshorne, math reviews of many of his papers hijikata, explicit formula for the trace of hecke operators for gamma_0(n) howe, large torsion subgroups of split jacobians of curves of genus 2 or 3 (handouts for berkeley nts) howe, leprevost, poonen, large torsion subgroups of split jacobians of curves of genus two or three howe, leprevost, poonen, large torsion subgroups of split jacobians of curves of genus two or three ibukiyama, katsura, on the field of definition of superspecial polarized abelian varieties and type numbers igusa, on local zeta functions iwasawa, a note on kumer extensions jones, diophantine representation of mersenne and fermat primes jones, sato, wada, wiens, diophantine representation of the set of prime numbers kamienny, torsion points on elliptic curves and q-coefficients of modular forms kamienny, torsion points on elliptic curves over all quadratic fields kanevsky, applications of the conjecture on the manin obstruction to various diophantine problems kaplansky, quadratic forms kaskel, list of elliptic curves references kaskel, the adelic image of galois associated to j_0(37) kato, generalization of class field theory katz, lang, finitentess theorems in geometric classfield theory katz, p-adic properties of modular schemes and modular forms klassen, schaeffer, arithmetic and geometry of the curve y^3+1=x^4 kneser, semi-simple algebraic groups (chapter 10 of cassels-frohlich) koblitz, a family of jacobians suitable for discrete log cryptosystems koblitz, hyperelliptic cryptosystems koblitz, jacobi sums, irreducible zeta-polynomials, and cryptography koblitz, p-adic variation of the zeta-function over families of varieties defined over finite fields kodama, a family of hyperelliptic function fields with hasse-witt-invariant zero kohel, ph.d. thesis, endomorphism rings of elliptic curves over finite fields kolyvagin, euler systems (in the grothendieck feitschrift) kolyvagin, finiteness of e(q) and sha(e,q) for a subclass of weil curves kolyvagin, logachev, finiteness of sha over totally real fields kolyvagin, logachev, finiteness of the shafarevich-tate group and the group of rational points for some modular abelian varieties kolyvagin, on the mordell-weil and shafarevich-tate groups for weil elliptic curves kolyvagin, on the structure of selmer groups kolyvagin, on the structure of selmer groups kolyvagin, on the structure of shafarevich-tate groups (in slnm 1479) kramer, special cycles on shimura varieties of odd orthogonal groups, the theta-correspondence and hecke actions lam, representation theory problems lang (william lang), extremal rational elliptic surfaces in characteristic p lang, hiv ? aids, have we been misled? lang, on the zeta function of number fields lang, tate, principal homogeneous spaces over abelian varieties lang, tate, principal homogeneous spaces over abelian varieties lang, units and class groups in number theory and algebraic geometry langlands, modular forms and l-adic representations langlands, on the zeta-functions of some simple shimura varieties langlands, shimura varieties and the selberg trace formula larsen, two-dimensional systems of galois representations lenstra, complex multiplication structure of elliptic curves lenstra, math 254b: class field theory, problems lenstra, oort, abelian varieties having purely additive reduction lenstra, oort, zarhin, abelian subvarieties lenstra, primality testing and artin symbols lewis, candid camera: some pictures of number theorists in 1969 (including kubota, dwork, iwasawa, selberg, baker, hpfs-d, mahler) lichtenbaum, duality theorems for curves over p-adic fields lichtenbaum, duality theorems for curves over p-adic fields (copy 2) lichtenbaum, the period-index problem for elliptic curves logachev, kolyvagin's method for shimura varieties: new type of euler systems. I. manin, cyclotomic fields and modular curves manin, mathematics as metaphor + a fairly good copy of a picture of him on the cover manin, the hasse-witt matrix of an algebraic curve marchisotto, zakeri, an invitation to integration in finite terms mason, diophantine equations over function fields mazur, a survey/expository paper on questions of decidaility and undecidability in number theory mazur, arithmetic on curves (looks like a great survey article) mazur, floppy disk, euler systems lecture notes for course, spring 1998 mazur, questions about numbers mazur, rational points of abelian varieties with values in towers of number fields mazur, rational points of abelian varieties with values in towers of number fields (copy 2) mazur, swinnerton-dyer, arithmetic of weil curves mazur, tate, teitelbaum, on p-adic analogues of the conjectures of birch and swinnerton-dyer mazur, the topology of rational points mccallum, duality theorems for neron models mccallum, kolyvagin's work on shafarevich-tate groups mccallum, on the method of coleman and chabauty merel, bornes pour la torsion des courbes elliptiques sur les corps de nombres merel, the arithmetic of elliptic curves and diophantine equations mestre, constructions polynomiales et theorie de Galois miller, ezra, qualifying exam syllabus milne, on the arithmetic of abelian varieties milne, on the arithmetic of abelian varieties milne, on the arithmetic of abelian varieties milne, shimura varieties: the geometry side of the zeta function milnor, algebraic k-theory of quadratic forms moret-bailly, diophantine and moduli problems over rings of algebraic integers, notes by jeff achter murty, elliptic curves and modular forms murty, the notion of a shimura variety nagao, on the rank of elliptic curve y^2=x^3-kx nagashima, on rational points of algebraic curves of genus one nagashima, on rational points of algebraic curves of genus one nakagawa, horie, elliptic curves with no rational points nguyen, letter to me about a question oi asked him on zeros of power series with rational coefficients nguyen, the theory of (adult) drawings nguyen, the transcendence of e and pi notes and solutions, serganova's 261 notes, alevras, 185, complex analysis notes, coleman's 254a notes, fred teti's 202a topology class, notes and exercises notes, fred teti's notes from when he took hartshorne's 256a. notes, matt baker's qualifying exam review notes notes, my noes on mat 261a, lie groups notes, ogus, notes by kirsten on ogus 254a course notes, rubin, notes of popescu on karl rubin's ohio state course on euler systems nygaard, slopes of powers of frobenius on crystalline cohomology oort, hyperelliptic supersingular curves oort, moduli of abelian varieties in positive characteristic pizer, an algorithm for computing modular forms on gamma_0(n) poonen, computational aspects of curves of genus at least 2 poonen, congruences relating the order of a group to the number of conjugacy classes poonen, schaefer, explicit descent for jacobians of cyclic covers of the projective line poonen, torsion in rank 1 drinfeld modules and the uniform boundedness conjecture raynaud, schemas en groupes de type (p,...,p) ribenboim, consecutive powers ribenboim, recent results about fermat's last theorem ribenboim, review of weil's number theory, an approach through history from hammurapi to legendre ribet, a modular construction of unramified p-extensions of q(mu_p) ribet, a modular construction of unramified p-extensions of q(mu_p) (copy 2) ribet, from the taniyama-shimura conjecture to fermat's last theorem (proof of TS-->FLT) ribet, galois representations and modular forms ribet, hayes, fermat's last theorem and modern arithmetic (in the american scientist) ribet, irreducible galois representations arising from component groups of jacobians ribet, lowering the levels of modular representations without multiplicity one ribet, multiplicities of p-finite mod p galois representations in j_0(Np) ribet, on modular representations of gal(qbar/q) arising from modular forms ribet, on the equation a^p+2^alpha b^p + c^p = 0 ribet, parametrizations of elliptic curves by shimura curves and by classical modular forms, handout for the dc conference) ribet, report on mod l representations of gal(qbar/q) risch, the problem of integration in finite terms risch, the solution of the problem of integration in finite terms rohrlich, modular curves, hecke correspondences, and l-functions roquette, analytic theory of elliptic functions over local fields roquette, isomorphisms of generic splitting fields of simple algebras roquette, on the galois cohomology of the projective linear group and its applications to the construction of generic splitting fields of algebras rosenlicht, integration in finite terms rosenlicht, some basic theorems on algebraic groups rubin, appendix to lang's cyclo fields on the main conjecture rubin, descents on elliptic curves and complex multiplication rubin, elliptic curves with complex multiplication and the conjecture of birch and swinnerton-dyer rubin, euler systems and modular elliptic curves rubin, lower bounds for selmer groups rubin, p-adic l-functions and rational points on elliptic curves with complex multiplication rubin, review of rubins sln 1399 article. rubin, the work of kolyvagin on the arithmetic of elliptic curves rubin, the work of kolyvagin on the arithmetic of elliptic curves (copy 2) saito, arithmetic on two dimensional local rings sansuc, principe de hasse, surfaces cubiques et intersections de deux quadriques sarnak, my notes from his berkeley talks (the rufus bowen lectures) schaefer, class groups and selmer groups schaefer, computing a selmer group of a jacobian using functions on the curve schaefer, letter to me on how to compute e(q), april, 1997 segal, on the automorphism groups of certain lie algebras serre, a big photo copy of a photo of him serre, cohomologie et geometrie algebrique serre, cohomology and algebraic geometry (i translated this from french to english) serre, local class field theory (chapter 6 of cassels-frohlich) serre, proprietes conjecturales des groupes de galois motiviques et des representations l-adiques serre, proprietes galoisiennees des points d'ordre fini des courbes elliptiques serre, seminar on complex multiplication serre, sur les representations modulaires de degre 2 de gal(qbar/q) serre, tate, good reduction of abelian varieties serre, zeta and l functions shalit, the explicit reciprocity law in local class field theory shatz, the cohomology of certain elliptic curves over local fields and quasi-local fields shimura, on abelian varieties with complex multiplication shiu, counting sums of two squares: the meissel-lehmer method siksek, on serre's equation: x^4+y^4=17z^4, (he proves that the 8 rational points are all of them) silverberg, explicit families of elliptic curves with prescribed mod n representations silverberg, generic abelian varieties: the unitary case silverberg, points of finite order on abelian varieties silverberg, zarhin, semistable reduction of abelian varietes over extensions of small degree silverman, chapter X of AEC I, computing the mordell-weil group silverman, the cubic thue equation silverman, the s-unit equation over function fields smirnov, hurwitz inequalities for number fields stein, 'solutions', fall 96 lim p_n/p_{n+1}, stephen's question, closure of subgroup of algebraic group stein, a manilla envelope of stuff i thought about in 1995 stein, doodles stein, euro floppy disk, summer 1997, in hotel canada folder stein, genus one curves of arbitrary index, rough notes, summer 97 stein, hartshorne's homological algebra, notes and solutions to exercises stein, hecke algebras, modular forms, and flt, notes from ribet's math 274, spring 1996 stein, my handout on the proof of the main conjecture of iwasawa theory stein, my notes for when i talk math 55: discrete mathematics, at uc berkeley, summer 1997 stein, my notes from a talk of lenstra on group cohomology and galois descent, dec 96. stein, my notes of a meeting with him in his office in august, 1997. i asked about explicitly computing on jacobians stein, my notes of peter stevenhagen's talk on generating class fields using shimura reciprocity, march 1997 stein, my notes on karl rubin's berkeley colloquium talk on euler systems, feb 1998 stein, my spring 97 yellow pad, contains notes from the jami conference in baltimore stein, my yellow notebook april-may 1997, pacific northwest n.t. conference, greenberg, vaius, darmon, edixhoven, ribet, loic stein, my yellow notebook july- 1997, penn state conference stein, my yellow notebook may-june 1997, euro diary, examples stein, notes about a question tom tucker asked me, fall 97 stein, notes for 254b, typeset in tex. stein, notes from 256a and 254a, fall 96 stein, notes from a talk of joe wetherell on his thesis stein, notes from a talk of vasiu on points of integral canonical models of shimura varieites of preabelian type (11/97) stein, notes from abc conjecture workshop, tucson, march 1998 stein, notes from my talk on tate-shafarevich groups of elliptic curves, spring 1997 stein, notes from my talk on the main conjecture of iwasawa theory, spring 1997 stein, notes from the newton institute, rational points, march 1998 stein, notes of a talk by lawren smithline on divided power structures for coleman's 274 course, fall 97 stein, notes on genus one curves of prespecified index stein, notes on jacobians of genus one curves, worked out in belgium, summer 97, good thing to write up stein, notes on one of darmon's berkeley talk on p-adic l-functions, april 1996. stein, notes on ribet's paper on a modular construction of unramified p-extensions of q(mu_p), student arithmetic geometry seminar, fall 97 stein, notes on serre's galois cohomology stein, notes on sharpness stein, parity structures, a letter to david moulton about some elementary combinatorial idea which could be something. stein, qual review book, fall 97 stein, qual review sheets stein, reading notes and pages of handy facts (quick reference cards) stein, some doodles about weil pairings, fall 97, good start for something to write up stein, source code from my eichler-selberg trace formula program, march 1998 stein, stuff i thought about at nau stein, the math book, summer 97 stein, the symmetric powers of a curve, 10/97 stein, yellow pad of doodles and notes, fall 97. stevenhagen, lenstra, chebotarev and his density theorem stoppie, notes on the eichler-selberg trace formula following zagier's method (unpublished and a bit secret) swan, zero cycles on quadric hypersurfaces swinnerton-dyer, applications of algebraic geometry to number theory swinnerton-dyer, arithmetic of diagonal quartic surfaces, II (newton institute preprint) swinnerton-dyer, on l-adic representations and congruences for coefficients of modular forms swinnerton-dyer, rational points on certain intersections of two quadrics swinnerton-dyer, rational points on pencils of conics and on pencils of quadrics ta notes, math 54, with lenstra tankeev, on weights of l-adic representations tanner, wagstaff, new congruences for the bernoulli numbers tate, duality theorems in galois cohomology over number fields tate, endomorphisms of abelian varieties over finite fields tate, galois cohomology of abelian varieties over p-adic fields tate, p-divisible groups, from proceedings of a conference on local fields, 1966 tate, rigid analytic spaces tate, rigid analytic spaces tate, the arithmetic of elliptic curves tate, voloch, linear forms in p-adic roots of unity tate, wc-groups over p-adic fields taylor, in harvard magazine, exclusive interview with richard taylor taylor, l-adic representations associated to modular forms over imaginary quadatic fields. II taylor, representations of galois groups associated to modular forms thomas, vasquez, a family of elliptic curves and cyclic cubic field extensions ulmer, l-function of universal elliptic curves over igusa curves van den bergh, the algebraic index of a division algebra van der geer, van der vlugt, how to construct curves over finite fields with many points van der poorten, some wonderful formulas... an introduction to polylogarithms vasiu, points of integral canonical models of shimura varieties of preabelian type and the langlands-rapoport conjture, part I vojta, notes for his book on arithmetic varieties voloch, diagonal equations over function fields voloch, diophantine approximation on abelian varieties in characteristic p voloch, diophantine gometry in characteristic p: a survey voloch, primitive points on constant elliptic curves over function fields wada, a table of hecke operators. II washington, chapter 15 of cyclotomic fields. the main conjecture and annihiliation of class groups weil, on algebraic groups and homogeneous spaces wetherell, bounding the number of rational points through the arithmetic of covers wetherell, long letter to me about how to find the special fiber of the neron model of an an elliptic curve wetherell, ph.d. thesis, bounding the number of rational points on certain curves of high rank wiles, bibliography wiles, modular curves and the class group of q(zeta_p) wiles, modular forms, elliptic curves, and fermat's last theorem wingberg, on the etal k-theory of an elliptic curve with complex multiplication for regular primes xing, on supersingular abelian varieties of dimension two over finite fields yates, sinkers of the titanics (a short paper on primality and factoring) yoshida, abelian varieties with complex multiplication and representations of the weil group zagier, modular points, modular curves, modular surfaces and modular forms zajta, on the solution of the diophantine equation A^3+B^3+C^3+D^3=0 zhu, ph.d. thesis, supersingular abelian varieties over finite fields \end{verbatim} \end{document}