Online Theses in Number Theory
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- Elliptic curves over Galois number fields, PhD thesis, Ross Paterson, University of Glasgow 2023
- Low degree points on modular curves, PhD thesis, Josha Box, University of Warwick, 2021
- Arithmetic combinatorics on Vinogradov systems and related topics, PhD thesis, Akshat Mudgal, University of Bristol, 2021
- The variance of sums of arithmetic functions, PhD thesis, Ofir Gorodetsky, Tel Aviv University 2021
- Combinatorial and asymptotic statistical properties of partitions and unimodal sequences, PhD thesis, Walter Bridges, Louisiana State University, 2020
- Explicit division and torsion points on superelliptic Curves and jacobians, PhD thesis, Vishal Arul, MIT 2020
- Contributions to the theory of modular forms and L-functions, PhD thesis, Johann Franke, University of Heidelberg 2020
- Digits of prime numbers and other remarkable sequence, PhD thesis, Cathy Swaenepoel, Université d'Aix-Marseilles, 2019
- Unlikely intersections with isogeny orbits, PhD thesis, Gabriel Dill, University of Basel 2019
- On additive problems involving shifted integers and ellipsephic sets, PhD thesis, Kirsti Biggs, University of Bristol, 2019
- Inverse Jacobian and related topics for certain superelliptic curves, PhD thesis, Anna Somoza, UPC Barcelona and Leiden University 2019
- Arithmetic of Hecke eigenvalues of Siegel modular forms, PhD thesis, Biplab Paul, 2019, The Institute of Mathematical Sciences (IMSc), Chennai, India
- Metodi Elementari nello studio della distribuzione dei Numeri Primi (Elementary methods in the study of prime numbers distribution), Bachelor degree thesis, Chiara Bellotti, Università di Pisa, 2018/2019
- Diophantine equations in positive characteristic, PhD thesis, Peter Koymans, Leiden University, 2019
- Applications of the Riemann Hypothesis over Finite Fields in Analytic Number Theory, PhD thesis, Dante Bonolis, ETH 2028
- Hasse-Weil inequality and primality tests in the context of curves of genus 2, PhD thesis, Eduardo Ruíz Duarte, University of Groningen 2018
- Topics in Multiplicative and Probabilistic Number Theory, PhD thesis, Alexander Mangerel, University of Toronto 2018
- On special elements for p-adic representations and higher rank Iwasawa theory at arbitrary weights, PhD thesis, Kwok-Wing Tsoi, King's College, London, 2018
- Lang-Trotter Questions on the Reductions of Abelian Varieties, PhD thesis, Samuel Bloom, University of Maryland, 2018
- Répartition des points rationnels sur certainesclasses de variétés algébriques, PhD thesis, Kévin Destagnol,
- Approximation diophantienne sur les variétés projectives et les groupes algébriques commutatifs, PhD thesis, François Ballaÿ, Université Clermont Auvergne 2017
- Dynamical systems and zeta functions of function fields, PhD thesis, Dan Nichols, University of Massachusetts Amherst, 2017
- Ramified lifts of Galois representations and dimension of ordinary deformation rings, PhD thesis, Mohammed Zuhair Mullath, UCLA, 2017
- Dynamical Systems and Zeta Functions of Function Fields, PhD thesis, Daniel Nichols, University of Massachusetts Amherst, 2017
- Counterexamples related to the Sato–Tate conjecture, PhD thesis, Daniel Miller, Cornell University, 2017
- Perfect Triangles : Rational points on Elliptic Curves, PhD thesis, Shahrina Ismail, University of Queensland, 2017
- Average Frobenius Distributions for Elliptic Curves: Extremal Primes and Koblitz's Conjecture, PhD thesis, Luke M. Giberson, Clemson University, 2017
- Indefinite Theta Functions and Zeta Functions, PhD thesis, Gene S. Kopp, University of Michigan, 2017
- Propriétés algébriques et analytiques de certaines suites indexées par les nombres premiers, PhD thesis, Lucile Devin, Université d'Orsay, 2017
- Dyamical systems and zeta functions of function fields, PhD thesis, Daniel Nichols, University of Massachusetts Amherst, 2017
- On certain exponential and character sums, PhD thesis, Bryce Denis Kerr, University of New South Wales, 2017
- Moments and zeros of L-functions over function fields, PhD thesis, Alexandra Florea, Stanford University, 2017
- Perfect Triangles : Rational points on Elliptic Curves , PhD thesis, Shahrina Ismail, Unoversity of Queensland, 2017
- On the local Langlands correspondence: new examples from the epipelagic zone, PhD thesis, Beth Romano, Boston College, 2016
- Analogues du théorème de Brauer-Siegel pour quelques familles de courbes elliptiques, PhD thesis, Richard Griffon, Université Paris Diderot, 2016
- Shimura curves and their p-adic uniformizations, PhD thesis, Piermarco Milione, Universitat de Barcelona, Spain, 2016
- Minimal indices of pure cubic fields, MSc thesis, Jeewon Yoo, University of British Columbia, 2016
- Computational aspects of modular parameterizations of elliptic curves, PhD thesis, Hao Chen, University of Washington, 2016
- Quadratic form Gauss sums, PhD thesis, Greg Doylem Carleton University, Ottawa, 2016
- Lattice point problems in the hyperbolic plane, PhD thesis, Dimitrios Chatzakos, University College London, 2016
- Higher rank sieves and applications, PhD thesis, Akshaa Vatwani, Queen's University, Kingston, Canada, 2016
- Topics in divisibility: pairwise coprimality, the GCD of shifted sets and polynomial irreducibility, PhD thesis, Randell Heyman, University of NSW, 2015
- Multiple Eisenstein series and q-analogues of multiple zeta values, PhD thesis, Henrik Bachmann, University of Hamburg, 2015
- Heights of generalized Heegner cycles, PhD thesis, Ari Shnidman, University of Michigan, 2015
- Subconvexity for a twisted double Dirichlet series and non-vanishing of L-functions, PhD thesis, Alexander Dahl, University of Toronto, 2015
- The Riemann Hypothesis for Varieties over Finite Fields, Undergraduate thesis, Sander Mack-Crane, Case Western Reserve University, 2015
- Darstellungstheorie Drinfeld’scher Modulformen, PhD thesis, Enrico Varela Roldán, Universität des Saarlandes, Germany, 2015
- Dedekind sums, M. Res. Simon Macourt, Macquarie University, Australia, 2015
- Curves of low genus and applications to Diophantine problems, PhD thesis, Natalia Cristina Garcia Fritz, Queen's University, Kingston, Canada, 2015
Obstruction criteria for modular deformation problems, PhD thesis, Jeffrey Hatley, University of Massachusetts Amherst, 2015
- Generalizations of Darmon's conjecture and the equivariant Tamagawa number conjecture, PhD thesis, Takamichi Sano, Keio University 2014
- Local-Global principles for linear spaces on hypersurfaces, PhD thesis, Julia Brandes, University of Bristol 2014
- Geometric Lang-Vojta Conjecture in ℙ2, PhD thesis, Amos Turchet, Università degli Studi di Udine, 2014
- The average elliptic curve has few integral points, Senior thesis, Levent Alpöge, Harvard University, 2014
- On Some Problems in Transcendental Number Theory and Diophantine Approximation, PhD thesis, Nguyen, Ngoc Ai Van, University of Ottawa, 2014
- Quantitative topics in arithmetic combinatorics, PhD thesis, Thomas Bloom, University of Bristol, 2014
- Topics in analytic number theory, PhD, Alastair James Irving, Oxford University, 2014
- Calculs explicites en théorie d'Iwasawa, PhD thesis, Firmin Varescon, Université de Franche-Comté, Besançon, 2014
- Lp-estimates for arithmetic sequences and quadratic forms on dense sets, PhD thesis, Eugen Keil, University of Bristol, 2013
- RSubconvexity and shifted convolution sums over number fields, PhD thesis, Péter Maga, Central European University 2013
- Special values of anticyclotomic l-functions, PhD thesis, Alia Hamieh, University of British Columbia 2013
- The statistics of the zeros of the Riemann zeta-function and related topics, Phd thesis, Brad Rogers, University of California, Los Angeles, 2013
- Quadratic forms on modular curves, PhD thesis, David Krumm, University of Georgia, 2013
- The self-power map and its image modulo a prime, PhD thesis, Catalina V. Anghel, University of Toronto, 2013
- Sur deux problèmes concernant les coefficients de Laurent-Stieltjes des séries L de Dirichlet, PhD thesis, Sumaia Saad Eddin, Lille, 2013
- Images des représentations galoisiennes, PhD thesis, Samuele Anni, L'Université Bordeaux I, 2013
- Topics in analytic number theory, PhD thesis, Robert Lemke Oliver, Emory University, 2013
- p-adic verification of class number computations, PhD thesis, Yinan Zhang, University of Sydney, 2013
- Shimura images of a family of half-integral weight modular forms, PhD thesis, Kenneth Brown, University of South Carolina - Columbia, 2013
- Non commutative Iwasawa theory for Selmer groups of abelian varieties over global function fields, PhD thesis, Maria Valentino, Università della Calabria, 2013
- On special values of Pellarin's L-series, PhD thesis, Rudolph Perkins, Ohio State University, 2013
- Moments of the Dedekind zeta function, PhD thesis, Winston Heap, University of York, 2013
- On the variation of (φ,Γ)-modules over p-adic families of automorphic forms, PhD thesis, John F. Bergdall, Brandeis University, 2013
- On the Cryptanalysis of Public-Key Cryptography, PhD thesis, Joppe Willem Bos, EPL Lausanne, 2012
- On Weber's class number problem, PhD thesis, Takayuki Morisawa , Waseda University, 2012
- A study on elliptic modular forms of weight one, PhD thesis, Kyushu University, 2012
- Modular forms and elliptic curves, MSc thesis, Dimitrios Chatzakos, University of Athens 2012
- The Change in Lambda Invariants for Cyclic p-Extensions of Zp-Fields, PhD thesis, Jordan Schettler, University of Arizona, 2012
- A Hecke Correspondence for Automorphic Integrals with Infinite Log-Polynomial Periods, PhD thesis, Austin Daughton, Temple University, 2012
- Polynomial root separation and applications, PhD thesis, Tomislav Pejković, Université de Strasbourg, University of Zagreb, 2012
- Controlling Ramification in Number Fields, PhD thesis, Simon Rubinstein-Salzedo, Stanford University, 2012
- Mean value estimates and applications in arithmetic combinatorics, PhD thesis, Sean Prendiville, Universty of Bristol, 2012
- Eigenforms of Half-Integral Weight, PhD thesis, Soma Purkait, University of Warwick, 2012
- Limit theorems for integer partitions and their generalisations, PhD thesis, Dimbinaina Ralaivaosaona, Universiteit Stellenbosch, 2012
- Cyclotomic Matrices over Quadratic Integer Rings, PhD thesis, Gary Greaves, University of London, 2012
- Irreducibility Criteria for Polynomials With Non-negative Integer Coefficients and the Prime Factorization of f(n) for f(x) in ℤ[x], PhD thesis, Samuel Gross, University of South Carolina, 2012
- Twists of Shimura Curves, PhD thesis, Jim Stankewicz, University of Georgia, 2012
- Heights of Polynomials, PhD thesis, Jonas Jankauskas, Vilnius University, 2012
- Manin's conjecture for del Pezzo surfaces, PhD thesis. Daniel Loughran, University of Bristol, 2011
- Galois representations attached to type (1, χ) modular forms, MSc thesis, Andrea Ferraguti, Concordia University, 2011
- On large gaps between consecutive zeros, on the critical line, of some zeta-functions, PhD thesis, Johan Bredberg, University of Oxford, 2011
- On some Problems of Algebraic Independence of Values of Modular Functions, Masters thesis, Faustin Adiceam, Paris VI, 2011
- On the values of derivatives of Dirichlet and Hasse-Weil L-functions, PhD thesis, Daniel Macias Castillo, Kings College, London, 2011
- Superposition of zeros of automorphic L-functions and functoriality, PhD thesis, Timothy Gillespie, University of Iowa, 2011
- Points de Darmon et variétés de Shimura, PhD thesis, Jérôme Gärtner, Paris 2011
- Lower order terms of moments of L-functions, PhD thesis, Rishikesh, University of Waterloo, 2011
- Divisibility Properties of Kloosterman Sums and Division Polynomials for Edwards Curves, PhD thesis, Richard Moloney, University College Dublin, 2011
- Zeros and asymptotics of holonomic sequences, PhD thesis, Rob Noble, Dalhousie University 2011
- Numerically explicit estimates for character sums, PhD thesis, Enrique Treviño, Dartmouth College 2001
- On a generalization of the rank one Rubin-Stark conjecture, PhD thesis, Daniel Vallières, University of California, San Diego, 2011
- Computing Degree 1 L-functions Rigorously, PhD thesis, Dave Platt, University of Bristol, 2011
Modular curves, Arakelov theory, algorithmic applications, PhD thesis, Universiteit Leiden, 1 September 2010
- Further result's on Gram's law, PhD thesis, Timothy Trudgian, Oxford University, 2010
- On the Amount of Sieving in Factorization Methods, PhD thesis, Willemien Ekkelkamp, Leiden university, 2010
- Speeding up integer multiplication and factorization, PhD thesis, Alexander Kruppa, Université Henri Poincareacute;, Nancy 1, 2010
- Models of genus one curves, PhD thesis, Mohamed Sadek, Cambridge University, 2010
- Arithmetic Properties of Apollonian Circle Packings, PhD thesis, Elena Fuchs, Princeton, 2010
- Moments, Period Functions and Cotangent Sums, PhD thesis, Sandro Bettin, University of Bristol, 2010
- On local Galois representations attached to automorphic forms, PhD thesis, Narasimha Kumar, Tata Institute of Fundamental Research, Mumbai, 2010
- Generalized and restricted multiplication tables of integers, PhD thesis, Dimitris Koukoulopoulos, University of Illinois at Urbana-Champaign, 2010
- Dynamical methods for rapid computations of L-functions, PhD thesis, Pankaj Vishe, NYU 2010
- Cyclotomic Matrices and Graphs, PhD thesis, Graeme Taylor, University of Edinburgh, 2010
- The Sieve Problem in One-and Two-Dimensions, PhD thesis, Kjell Wooding, University of Calgary, 2010
- On the distribution of the values of arithmetical functions, PhD thesis, Mehdi Hassani, Institute for Advanced Studies in Basic Sciences, Zanjan, Iran & Université de Bordeaux, France, December 2010
- Steinitz classes of tamely ramified galois extensions of algebraic number fields, PhD thesis, Alessandro Cobbe, Scuola Normale Superiore Pisa, 2010
- Height Bounds for n-Coverings, PhD thesis, Graham Sills, Cambridge, 2010
- Strings of congruent primes in short intervals, PhD thesis, Tristan Freiberg, Université de Montréal, 2010
- Prime Numbers and Polynomials, PhD thesis, Luca Goldoni, University of Trento, 2010
- Empirical evidence for the Birch and Swinnerton-Dyer conjecture, PhD thesis, Robert L. Miller, U. Washington, 2010
- Explicit second p-descent on elliptic curves, PhD thesis, Brendan Creutz, Jacobs University, Bremen, 2010
- Complex multiplication of abelian surfaces, PhD thesis, Marco Streng, Leiden 2010
- Sur quelques questions d'équidistribution en géométrie arithmétique, PhD thesis, Rodolphe Richard, Rennes 2009
- Explicit Algorithms for Humbert Surface, PhD thesis, David Gruenewald, University of Sydney, 2009
- L-invariants of low symmetric powers of modular forms and Hida deformations, PhD thesis, Robert Harron, Princeton 2009
- Points de torsion des courbes elliptiques et équations diophantines, PhD thesis, Nicolas Billerey, Université Pierre et Marie Curie - Paris VI, 2009
- Comptage asymptotique et algorithmique d'extensions cubiques relatives, PhD thesis, Anna Morra, Bordeaux I, 2009
- On Potential Automorphy, and other topics in Number Theory, PhD thesis, Thomas Barnet-Lamb, Harvard University 2009
- On Euclidean Ideal Classes, PhD thesis, Hester K. Graves, U. Michigan 2009
- Applications of Sieve Methods in Analytic Number Theory, PhD thesis, Kaisa Matomäki, Royal Holloway, University of London, 2009
- Sur la distribution des valeurs de la fonction zéta de Riemann et des fonctions L aux bord de la bande critique, PhD thesis, Youness Lamzouri, University of Montreal, 2009
- Theoretical and algorithmic aspects of congruences between modular Galois representations , PhD thesis, Xavier Taixés i Ventosa, Universität Duisberg-Essen, 2009
- Some aspects of analytic number theory: parity, transcendence, and multiplicative functions, Ph.D. Thesis, Michael Coons, Simon Fraser University, 2009
- Hypergeometric functions and Mahler measure, PhD thesis, Mathew Rogers, University of British Columbia, 2008
- Drinfeld, Modules de Fonctions L Mathématiques Théorèmes de réciprocité , PhD thesis, Floric Tavares Ribeiro, Université de Franche-Comté, Besançon, 2008
- Problems in number theory related to mathematical physics, PhD, Rikard Olofsson, KTH Stockholm 2008
- Nombres d’intersection arithmétique et opérateurs de Hecke sur les courbes modulaires X0(N), PhD thesis, Ricardo Menares, Université Paris Sud 11, 2008
- Classical and modular methods applied to Diophantine equations, Sander Dahmen, Utrecht University, 2008
- On twisted Kloosterman sums and cubic exponential sums, PhD thesis, Benoit Louvel, Göttingen University, University Montpelier 2, 2008
- Characteristic elements, pairings, and functional equations in non-commutative Iwasawa theory, PhD thesis, Gergely Zábrádi, Cambridge 2008
- On the mean-square of quadratic Dirichlet L-functions at 1, PhD thesis, Henri Virtanen, University of Turku 2008
- Intersection of algebraic curves/some results on the (monic) integer transfinite diameter, PhD thesis, Jan Hilmar, U. Edinburgh 2008
- On Short Exponential Sums Involving Fourier Coefficients of Holomorphic Cusp Forms, PhD thesis, Anne-Maria Ernvall-Hytönen, University of Turku, 2008
- The canonical fractional Galois ideal at s=0, PhD thesis, Paul Buckingham, Universtiy of Sheffield, 2008
- Torsion et rang des courbes elliptiques définies sur les corps de nombres algébriques, These de doctorat, F. Patrick Rabarison, Université de Caen, 2008
- Problème de Lehmer relatif pour les variétés abéliennes CM, PhD thesis, Maria Carrizosa, Paris VI, 2008
- Algorithms for p-adic cohomology and p-adic heights, PhD thesis, David Harvey, Harvard University 2008
- Minoration de la hauteur de Néron-Tate sur les variétés abéliennes : sur la conjecture de Lang et Silverman, PhD thesis, Fabien Pazuki, Université Bordeaux I, 2008
- Constructing Abelian Varieties for Pairing-Based Cryptography, PhD Thesis, David Mandell Freeman, University of California, Berkeley, 2008
- Number theoretic algorithms for elliptic curves, PhD thesis, Juliana Belding, University of Maryland, College Park, 2008
- Integral transforms of the Minkowski question mark function, PhD thesis, Giedrius Alkauskas, University of Nottingham, 2008
- Prime polynomials over finite fields, PhD thesis, Paul Pollack, Dartmouth College, 2008
- On the values of equivariant and Artin L-functions of cyclic extensions of number fields, PhD thesis, Barry Smith, University of California, San Diego, 2007
- Auxiliary polynomials and height functions, PhD thesis, Charles Samuels, The University of Texas at Austin, 2007
- Compatibilities, correspondences, and integral structures in p-adic cohomology, PhD thesis, Bryden R. Cais, University of Michigan, 2007
- Heights and multiplicative relations on algebraic varieties PhD thesis, Univ. Basel, 2007
- Asymptotically counting points of bounded height, PhD thesis, Martin Widmer, Universität Basel (2007)
- Congruence properties of Fourier coefficients of modular forms, PhD thesis, Timothy Kilbourn, University of Illinois at Urbana-Champaign, 2007
- On the Computation of the Class Numbers of Real Abelian Fields, PhD thesis, Tuomas Hakkarainen, Turku University, 2007
- p-adic Family of Half-Integral Weight Modular Forms and its Arithmetic Applications, Phd. thesis, Jeehoon Park, Boston University, 2007
- Hypergeometric functions over finite fields and relations to modular forms and elliptic curves, PhD thesis, Jenny Fuselier, Texas A&M University, 2007
- Two number-theoretic problems that illustrate the power and limitations of randomness, PhD thesis, Andrew Shallue, University of Wisconsin-Madison, 2007
- Elliptic factors in Jacobians of low genus curves, PhD thesis, Jennifer Paulhus, University of Illinois, 2007
- Series de Ramanujan: Generalizaciones y conjeturas, PhD. thesis, Jesús Guillera Goyanes, Universidad de Zaragoza, 2007
- Order Computations in Generic Groups, PhD thesis, Andrew V. Sutherland, MIT June 2007, Thesis abstract
- Some Topics in Number Theory (Refinements, Extensions and Generalisations of a Theorem of Sylvester on the prime factors of a product of consecutive integers), PhD thesis, Shanta Laishram, Tata Institute of Fundamental Research, Mumbai, submitted April 2007
- Constructing elliptic curves of prescribed order, PhD thesis, Reinier Bröker, Leiden University, 2006
- Green functions on Riemann surfaces and an application to Arakelov theory, PhD thesis, Peter Bruin, Universiteit Leiden, 2006
- The weight in a Serre-type conjecture for tame n-dimensional Galois representations, PhD thesis, Florian Herzig, Harvard University 2006
- On the equivariant Tamagawa number conjecture, PhD thesis, Tejaswi Navilarekallu, Caltech 2006
- Some Diophantine equations with complex-valued exponents, PhD thesis, John Zuehlke, Columbia University, 2006
- On zeros of cubic L-Functions, PhD thesis, Xia Honggang, Ohio State University 2006
- Modular Forms of Weight One Over Finite Fields, PhD thesis, Gabor Wiese, Leiden University, 2005
- On the Brumer-Stark conjecture and its refinements, PhD, Barry Smith, University of California San Diego, 2007
- Spectres euclidiens et inhomogènes des corps de nombres, PhD thesis, Jean-Paul Cerri, Université Nancy 1, 2005, available from Tel
- Étude de la valeur en s=2 de la fonction L d'une courbe elliptique, PhD thesis, François Brunault, Université Paris 7 Denis-Diderot, 2005
- L-functions of non-abelian twists of elliptic curves, PhD. thesis, Vladimir Dokchitser, Cambridge University, 2005
- Méthodes de crible appliquées aux sommes de Kloosterman et aux petits écarts entre nombres premiers, PhD thesis, Jimena Sivak-Fischler, Université Paris XI, 2005
- Triple product L-functions, PhD thesis, John Niccolai, Columbia University, 2005
- Del Pezzo surfaces and the Brauer-Manin obstruction, PhD thesis, Patrick Corn, U.C. Berkeley 2005
- The Brandt module of ternary quadratic lattices, PhD thesis, Gonzalo Tornaría U. Texas, 2005
- Autour d'une conjecture de B. Gross relative à l'existence de corps de nombres de groupe de Galois non résoluble et ramifiés en un unique premier p petit, PhD, Sylla Lesseni, Université Bordeaux, 2005
- Minoration de la hauteur normalisée en petite codimension, PhD thesis, Corentin Pontreau, Université de Caen, 2005
- Explicit Endomorphisms and Correspondences, PhD thesis, Ben Smith, University of Sydney, 2005
- Conjecture de Greenberg généralisée et capitulation dans les Z_p-extensions d'un corps de nombres, PhD thesis, David Vauclair, Université de Franche-Comté, Besançon, 2005
- Arithmétique des extensions d'Artin-Schreier-Witt, PhD thesis, Lara Thomas, Université Toulouse II le Mirail, 2005
- The twisted weighted fundamental lemma for the transfer of of automorphic forms from GSp(4) to GL(4), PhD thesis, David Whitehouse, Caltech 2005
- Multiple integrals and generalized polylogarithms, PhD thesis, Sergey Zlobin, Moscow University, 2005
- Some relations of Mahler measure with hyperbolic volumes and special values of L-functions, PhD thesis, Matilde Lalín, University of Texas at Austin, 2005
- Some conjectures about the slopes of modular forms, PhD thesis, Lisa Clay, Northwestern University, 2005
- Sommes de Dedekind et périodes de formes modulaires de Hilbert, PhD Thesis, Université Bordeaux 1, 2004, Pierre Charollois
- Geometric and p-adic Modular Forms of Half-Integral Weight, PhD thesis, Nick Ramsey, Harvard 2004
- Equivariant epsilon constants for Galois extensions of number fields and p-adic fields, PhD thesis, Manuel Breuning, Kings College, London, England
- Keith Briggs
- p-class towers of imaginary quadratic fields, PhD thesis, Michael Bush, University of Illinois at Urbana-Champaign, 2004
- Minoration de la hauteur de Néron-Tate pour les points et les sous-variétés : variations sur le problème de Lehmer, PhD thesis, Nicolas Ratazzi, Paris VII, 2004
- Two results in the arithmetic of Shimura curves, PhD thesis, Marat Sadykov, Columbia University, 2004
- A kernel for automorphic L-functions on GL(n,R), PhD thesis, Meera Thillainatesan, Columbia University, 2004
- The fine Selmer group and height pairings, PhD thesis, Christian Wuthrich, Cambridge, 2004
- Invariants de classes pour les variétés abéliennes à réduction semi-stable, PhD thesis, Jean Gillibert, Université de Caen, 2004
- Four-dimensional Galois repesentations of solvable type and automorphic forms, PhD thesis, Kimball Martin, Caltech 2004
- A Generalised arithmetic geometric mean, PhD Thesis, Robert Carls , University of Groningen 2004
- The 3-Part of Class Numbers of Quadratic Fields, MSc Thesis, Lillian Pierce, Oxford University, 2004
- Modules de Drinfeld de rang 2 sur un corps fini, PhD thesis, Mohamed Saadbouh, Université de Aix-Marseille II, 2004
- On elliptic units and p-adic Galois representations attached to elliptic curves, PhD thesis, Alvaro Lozano, Boston University 2004
- Algebraic points of small height with additional arithmetic conditions, PhD. thesis, Lenny Fukshansky, University of Texas at Austin, 2004
- Applications of Poincare series on Jacobi groups Ph.D. Thesis, Kathrin Bringmann, University of Heidelberg, 2004
- Evaluation of the Dedekind Eta Function, PhD thesis, William Hart, Macquarie University 2004
- Real zeros and size of Rankin-Selberg L-functions in the level aspect, PhD thesis, Guillaume Ricotta, Montpelier II, 2004
- Module supersingulier et points rationnels des courbes modulaires, PhD thesis, Marusia Rebolledo, Paris VI, 2004
- Méthodes de transcendance et géométrie diophantienne, PhD thesis, Andrea Surroca, Paris 2003
- Factorization and independence of arithmetic functions, PhD thesis, Pattira Ruengsinsub, Chulalongkorn University, 2003
- Explicit descent on elliptic curves, PhD thesis, Tom Womack, Nottingham 2003
- Intégration sur ℋpxℋ et applications arithmétiques (après H. Darmon), Masters thesis, Fabien Pazuki, Université Pierre et Marie Curie Paris VI, 2003
- Jacobians of Shimura curves and Jacquet-Langlands Correspondences, PhD thesis, David Helm, University of California at Berkeley, 2003
- Root numbers and the parity problem, Ph.D. thesis, Harald Helfgott, Princeton University, April 2003
- Euler systems of CM points on Shimura curves, PhD thesis, Ye Tian, Columbia University, 2003
- Abelian varieties with quaternionic multiplication and their moduli, PhD thesis, Victor Rotger, Universitat de Barcelona, 2003
- Généralisation du critère de Beurling-Nyman à la classe de Selberg, PhD. thesis, Anne de Roton, Université Bordeaux I, 2003
- Rational points on Atkin-Lehner quotients of Shimura curves, Peter Clark, Harvard, 2003
- Hilbert's Tenth Problem and Arithmetic Geometry, PhD thesis, Kirsten Eisenträger, Berkeley 2003
- The distribution of Galois orbits of low height, PhD, Clayton Petsche, University of Texas at Austin, 2003
- Sur les 2-extensions de Q dont la 2-partie du noyau sauvage est triviale, PhD thesis, Mikaël Lescop, Université de Limoges 2003
- Large sieves and exponential sums, PhD Thesis, Liangyi Zhao, Rutgers University 2003
- Contributions à l'étude diophantienne des polylogarithmes et des groupes algébriques, PhD thesis, Stéphane Fischler, Université Paris VI, 2003
- Systems of automorphic forms and period functions, PhD Thesis, Tobias Mühlenbruch, University of Utrecht, 2003
- Siegel modular forms (mod p) and algebraic modular forms, PhD thesis, Alexandru Ghitza, MIT 2003
- The Fourier Jacobi Map and Small Representations, PhD thesis, Martin Weissman, Harvard 2003
- Finiteness Results for Diophantine Equations Involving Polynomial Families, PhD Thesis, Thomas Stoll, 2003, TU Graz
- L4 norm of the Eisenstein series, PhD thesis, Florin Spinu, Princeton 2003
- On a certain ratio of Petersson norms and level-lowering congruences, PhD thesis, Kartik Prasanna, Princeton 2003
- Familles p-adiques de formes automorphes et applications aux conjectures de Bloch-Kato , PhD thesis, Gaëtan Chenevier, Paris 7, 2003
- Drinfeld Modules and applications to the inverse problem of Galois Theory, PhD Thesis (in Greek), Marina Tripolitaki, University of Crete, 2003 (ps file, 1.3MB)
- On the André-Oort conjecture and Drinfeld modular curves, PhD thesis, Florian Breuer, Université Denis Diderot (Paris 7), 2003
- New bounds for automorphic L-functions, PhD thesis, Gergely Harcos, Princeton University 2003
- Computations on Diagonal Quartic Surfaces, PhD thesis, Martin Bright, Cambridge 2003
- Approche dynamique et combinatoire de la notion de discrépance, PhD thesis, Boris Adamczewski, Luminy 2002
- Central values of twisted L-functions, PhD thesis, Hui Xue, Columbia University, 2002
- Siegel zeros of Eisenstein series on GL(n), PhD thesis, Joseph Hundley, Columbia University, 2002
- Über irreguläre Paare höherer Ordnungen, Diplomarbeit, Bernd Kellner, Göttingen, 2002
- Mock theta functions, PhD thesis, Sander Pieter Zwegers, Utrecht 2002
- Untersuchungen einer neuen Klasse von ganzwertigen ganzen Funktionen, Dissertation, Michael Welter, Universität zu Köln, 2002
- 1 and 2 Level Density Functions for Families of Elliptic Curves: Evidence for the Underlying Group Symmetries, PhD thesis, Steven J. Miller, Princeton University, 2002
- Formes modulaires et invariants de courbes elliptiques définies sur Q, PhD thesis, Christophe Delaunay, Université Bordeaux I, 2002
- Die Weil-Restriktionen elliptischer Kurven in der Kryptographie, Diplomarbeit, Guido Blady, Essen 2002
- Pisot numbers and the spectra of real numbers, PhD Thesis, Kevin Hare, Simon Fraser University 2002
- Une région explicite sans zéro pour les fonctions L de Dirichlet, PhD thesis, Habiba Kadiri, Université des sciences et technologie de Lille 2002
- Pair Correlation and Distribution of Prime Numbers, PhD thesis, Tsz Ho Chan, University of Michigan, Ann Arbor, 2002
- Une région explicite sans zéro pour les fonctions L de Dirichlet, PhD thesis, Habiba Kadiri, Lille 2002
- Représentations galoisiennes, groupe de Mumford-Tate et bonne réduction des variétés abéliennes, PhD thesis, Frédéric Paugam, Rennes 2002
- Quantitative finiteness results for Diophantine equations, PhD thesis, Clemens Fuchs, TU Graz, 2002
- Class number parity of a compositum of quadratic fields, PhD thesis, Michal Bulant, Masaryk University, Brno 2002 (pdf 419K)
- The pair correlation of the zeros of the Riemann zeta function, Senior Thesis, Lillian Pierce, Princeton University, 2002
- Modular Hyperelliptic Curves, PhD thesis, E. González-Jiménez, Universitat Autonoma de Barcelona, 2002
- Slopes of overconvergent modular forms, PhD thesis, Lloyd Kilford, Imperial College of Science, Technology and Medicine, 2002
- Orthogonal Epsilon Constants For Tame Actions of Finite Groups on Surfaces, PhD thesis, Darren Glass, University of Pennsylvania 2002
- Limit Theorems in Metric Diophantine Approximation, PhD-thesis, Michael Fuchs, Vienna University of Technology 2002
- Modularity of some potentially Barsotti-Tate Galois representations, PhD. thesis, Dave Savitt, Harvard University 2001
- Représentations p-adiques et équations différentialles, PhD, Laurent Berger, Paris 6, 2001
- A Study on Theoretical and Practical Aspects of Weil-Restrictions of Varieties, Doktorarbeit, Claus Diem, Frankfurt 2001
- On the Tamagawa number conjecture, PhD thesis, Francesc Bars, Universitat Autonòma de Barcelona 2001
- On the characteristic polynomial of a random unitary matrix and the Riemann zeta function, PhD thesis, Christopher Hughes, University of Bristol 2001
- Algorithmic Solution of Diophantine Equations, Diploma Thesis, Thomas Stoll, 2001, TU Graz
- Théorie de Galois effective pour les corps de nombres et les corps finis. Développement du système PARI, PhD thesis, Bill Allombert, Université Bordeaux I, 2001 (ps file)
- A splitting criterion for Galois representations associated to exceptional modular forms, PhD thesis, Ken McMurdy, Berkeley 2001
- Algebraic curves, Riemann hypothesis and coding, Diploma Thesis, Marios Magioladitis, University of Crete, 2001
- Counting Rational Points on Curves and Surfaces , DPhil. Thesis, Tim Browning, Oxford 2001
- Explicit Arithmetic of Brauer Groups: Ray Class Fields and Index Calculus, PhD thesis, Kim Nguyen, Universität GHS Essen, 2001
- Propriétés diophantiennes de la fonction zeta de Riemann aux entiers impairs, PhD, Tanguy Rivoal, Université de Caen, 2001
- Efficient Arithmetic on Hyperelliptic Curves, PhD thesis, Tanja Lange, Essen 2001
- Sur les fonctions L de formes modulaires, Thése, Emmanuel Royer, Paris XI (Orsay) 2001
- On the image of Lambda-adic Galois representations, PhD thesis, Ami Fischman, UCLA 2001
- On p-adic Hilbert modular adjoint L-functions, PhD thesis, Hsin-Tai Wu, UCLA 2001
- Arithmétique des extensions faiblement ramifiées [Arithmetic of weakly ramified extensions], PhD thesis, Stéphane Vinatier, Université Bordeaux 1, 2000
- Mahler measure and real roots of certain family of polynomials, PhD thesis, Christophe Doche, University of Bordeaux, 2000
- On Holomorphy of Local Langlands L-functions, PhD thesis, Mahdi Asgari, Purdue University 2000
- Buekenhout-Metz-Unitale in PG(2, q^2), Diplom Thesis, Roger Oyono, Essen 2000
- Regulator approximation and fundamental unit computation for real-quadratic orders, Markus Maurer, TU-Darmstadt, 2000
- Average Lang-Trotter Conjecture for 2 Elliptic Curves, MSc thesis, Robert Juricevic, Concordia University 2000
- On Selmer groups of geometric Galois representations, PhD thesis, Tom Weston, Harvard University 2000
- Representation of Prime Powers by Binary Quadratic Forms, PhD Thesis, Giorgos Siligardos, University of Crete 2000 (555K, pdf - Greek)
- The problem of finiteness of classfield towers, Masters Thesis, Anna Kagiali, University of Crete 2000 (643K, pdf - Greek)
- Points de Weierstrass et jacobiennes de courbes algébriques de genre 3, PhD thesis, Martine Girard, Paris VII 2000
- Geometry of numbers, Diploma Thesis, Eleni Tzanaki, University of Crete, 2000 (714K, ps - Greek)
- Distribution of Values of Artin L-Functions and Applications, PhD thesis, Hartmut Bauer, TU-Berlin 2000
- Representations of unitary groups and associated Galois representations, PhD thesis, Andrew Knightly, UCLA 2000
- Forms in many variables over p-adic fields, PhD thesis, Michael Knapp, University of Michigan, 2000
- Über Zugänge von Hua und Pan Chengdong zum Primzahlzwillingsproblem, PhD thesis, Stephan Baier, FU-Berlin 2000
- Kettenbrüche im Körper der Formalen Laurentreihen und Anwendungen, Masters thesis, Michael Fuchs, Vienna University of Technology 2000
- Deformations of p-divisible groups and p-descent on elliptic curves, PhD thesis, Tim Dokchitser, Utrecht 2000
- Étude arithmétique des équations aux q-différences et des équations différentielles, PhD thesis, Lucia Di Vizio, Paris VI 2000
- Sieve Methods, Masters Thesis, Denis Xavier Charles, SUNY Buffalo 2000 (pdf 501K)
- Reduction de Familles de points CM, Thesis, Christophe Cornut, IRMA Strasbourg I 2000
- Perfect Cuboids, Doctoraalscriptie, Ronald van Luijk, Utrecht 2000
- On 5 and 7 Descents for Elliptic Curves, PhD thesis, Tom Fisher, Cambridge 2000
- Algebraic methods in higher-dimensional dynamics, Habilitationsschrift, Manfred Einsiedler, Universität Wien
- Sums of multiplicative functions over integers without large prime factors and related differential difference equations, PhD thesis, Joung Min Song, Urbana 2000
- Random matrix theory and zeta functions, PhD thesis, Nina Snaith, University of Bristol 2000 (ps 3162K)
- On the modularity of certain 2-adic Galois representations, PhD thesis, Mark Dickinson, Harvard 2000
- Galois Groups and Greenberg's Conjecture, PhD thesis, David Marshall, University of Arizona, 2000
- Explicit approaches to modular abelian varieties, PhD thesis, William Stein, Berkeley 2000
- Cusp Forms on SL(3,Z)\SL(3,R)/SO(3,R), PhD, Stephen D. Miller, Princeton 2000
- p-adic modular forms over Shimura curves over Q, PhD thesis, Payman Kassaei, MIT 1999
- Local -global problems and the Brauer -Manin obstruction, PhD thesis, Victor Scharaschkin, University of Michigan, 1999
- An Exact Mass Formula for Quadratic Forms over Number Fields, PhD thesis, Jonathan Hanke, Princeton University 1999
- Icosahedral Galois Representations and modular forms, Undergraduate Senior Thesis, Martin Weissman, Princeton 1999
- Continued fractions and sequences, PhD thesis, Alan Lauder, Royal Holloway and Westfield College 1999 (ps 875K)
- Berechnung der Mordell-Weil Gruppe elliptischer Kurven über algebraischen Zahlkörpern, PhD Thesis, Susanne Schmitt, Universität des Saarlandes, 1999
- Symboles des restes quadratiques et discriminants, PhD thesis, Mohamed Zahidi, Limoges 1999
- On splitting places of degree one in extensions of algebraic function fields, towers of function fields meeting asymptotic bounds and basis constructions for algebraic-geometric codes, PhD thesis, Vinay Deolalikar, University of Southern California 1999
- Kummer's Lemma and Picard Groups of Integer Group Rings, Licentiate thesis, Ola Helenius, Chalmers University 1999 (ps)
- The kernel of the Eisenstein ideal, PhD, János A. Csirik, Berkeley 1999
- Bestimmung der modularen Invarianten von Idealen in imaginär-quadratischen Zahlkörpern modulo Primidealen, Diploma Thesis, Stefan Bettner, Augsburg 1999
- Some topics in Algebraic Groups: Representation theory of GL2(D) where D is a division algebra over a non-Archimedean local field, PhD thesis, A. Raghuram, TIFR 1999
- Ray class fields of global function fields with many rational places, PhD thesis, Roland Auer, Oldenburg 1999
- Subexponential Class Group Computation in Quadratic Orders, Doctoral Thesis, Michael Jacobson, TU Darmstadt 1999
- Chabauty methods and covering techniques applied to generalised Fermat equations, PhD thesis, Nils Bruin, University of Leiden, 1999
- Punktezählalgorithmen für ordindre elliptische Kurven über endlichen Körpern der Charakteristik 2, Diploma Thesis, Robert Carls , T-U. Darmstadt 1999 (gzipped ps file)
- Vector bundles and geometry of numbers, PhD Thesis, Richard Groenewegen, Leiden 1999
- Über relative Normgleichungen in algebraischen Zahlkörpern, Diplom Thesis, Claus Fieker, Technische Universität Berlin 1999
- Zur Divisorenklassengruppenberechnung in globalen Funktionenkörpern, PhD Thesis, Florian Hess, Technische Universität Berlin 1999
- Jacobians of curves of genus one, PhD Thesis, Catherine O'Neil, Harvard 1999
- Iwasawa mu-Invariants of Selmer Groups, PhD Thesis, Michael Drinen, University of Washington 1999
- Critical values of the twisted tensor L-function in the imaginary quadratic case, PhD Thesis, Eknath Ghate, UCLA 1996 (169K dvi)
- Modular forms and Galois representations, Undergraduate thesis, Patrick Corn, Harvard 1998 (ps file)
- Autour de la fonction qui compte le nombre de nombres premiers, PhD thesis, Pierre Dusart, Limoges 1998 (pdf)
- 2-adic modular forms of minimal slope, PhD thesis, Matthew Emerton, Harvard 1998
- Exponential Sums and Diophantine Problems, Scott Parsell, PhD Thesis, Ann Arbor, Michigan, 1999
- Equations dans les Corps de Nombres et Discriminants Minimaux, PhD thesis, Denis Simon, Bordeaux 1998
- The rank of the jacobian of modular curves: analytic methods, PhD thesis, Emmanuel Kowalski, Rutgers University, 1998
- Evidence for a spectral interpretation of the zeros of L-functions, PhD thesis, Michael Oded Rubinstein, Princeton 1998
- Stratifications on moduli spaces of abelian varieties in positive characteristic, PhD thesis, Jeff Achter, University of Pennsylvania 1998
- The growth of Dirichlet series on vertical lines, Diplomarbeit, Tobias Mühlenbruch, RWTH Aachen, Germany, 1998
- Zur Berechnung von Hilbertschen Klassenkörpern mit Hilfe von Stark-Einheiten, Diploma thesis, Hartmut Bauer, TU Berlin 1998
- Moduli for Pairs of Elliptic Curves with Isomorphic N-torsion, PhD Thesis, David Carlton, MIT 1998
- Explicit Hecke Actions on Modular Forms, PhD Thesis, David Pollack, Harvard 1998
- The order of vanishing of L-functions at the center of the critical strip, PhD Thesis, Francesco Sica, McGill University, March 1998
- Canonical heights in characteristic p, Matt Papanikolas, PhD Thesis, Brown 1998
- Curves of Genus 2 with real multiplication by a square root of 5, John Wilson, PhD thesis, Oxford 1998
- Résolution effective d'équations diophantiennes : algorithmes et applications, Thèse, G. Hanrot, Université Bordeaux 1 (1997)
- Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper Dissertation, Jürgen Klüners, TU Berlin, 1997
- Über relative Normgleichungen in algebraischen Zahlkörpern , PhD thesis, Claus Fieker, TU Berlin, 1997
- Teilerprobleme für homogene Polynome, Stephan Daniel, PhD. Thesis, Stuttgart, 1997
- Non-vanishing of modular L-functions with large level, PhD thesis, Amir Akbary, University of Toronto, 1997
- Factoring Integers with the Self Initializing Quadratic Sieve, MA Thesis, Scott Contini, University of Georgia 1997
- Algorithmes de factorisation dans les corps de nombres et applications de la conjecture de Stark à la construction des corps de classes de rayon, thesis by Xavier-François Roblot, Bordeaux 1997
- Zur Verteilung der Nullstellen der Dirichletschen L-Reihen, Dissertation, Peter Bauer, Frankfürt am Main, 1997
- The Distribution of Shapes of Cubic Orders, PhD Thesis, David Terr, Berkeley 1997
- Equations For Modular Curves, PhD Thesis, Steven Galbraith, Oxford University, 1997, typo
- Nonanalytic Automorphic Integrals on the Hecke Groups, Paul Pasles, PhD thesis, Temple University, 1997
- Some problems in elementary number theory and modular forms, Giuseppe Melfi, PhD Thesis, University of Pisa, 1997
- Algorithmes de factorisation dans les corps de nombres et applications de la conjecture de Stark à la construction des corps de classes de rayon, thesis by Xavier-François Roblot, Bordeaux 1997
- Cyclotomy of Rings and Primality Testing, Preda Mihailescu, Dissertation, ETH Zurich 1997
- Prime Numbers of the form x2+ny2, Masters Thesis, Giorgos Siligardos, University of Crete 1996 (4.3 MB, pdf - Greek)
- Zur Berechnung von Strahlklassengruppen, Diploma Thesis, Sebastian Pauli, T-U. Berlin 1996
- Zur Klassengruppenberechnung in algebraischen Zahlkörpern, Diploma Thesis, Florian Hess, Technische Universität Berlin 1996
- On a Conjecture of Gross, PhD Thesis (Abstract), Joongul Lee, U. of Texas at Austin, 1996
- Cycles of Polynomial Mappings, Michael Zieve, PhD Thesis, Berkeley 1996
- Endomorphism rings of elliptic curves over finite fields, PhD Thesis, David Kohel, Berkeley December 1996
- Berechnung der Mordell-Weil Gruppe parametrisierter elliptischer Kurven, Diploma Thesis, Susanne Schmitt, Universität des Saarlandes, 1995
- Points of finite order on elliptic curves, Masters Thesis, Thanasis Vesis, University of Crete 1995 (882K, ps - Greek)
- Algorithms for the Determination of Polynomials with Small Mahler Measure, PhD Thesis, Michael Mossinghoff, University of Texas, Austin, 1995
- Thèse de Doctorat : Extensions vectorielles, périodes et hauteurs (décembre 1995), Antoine Chambert-Loir
- Generalization of the ABC-conjecture, N.R. Bruin, Master Thesis, Leiden University, 1995
- Explicit Representation of Fundamental Units of Some Quadratic Fields, Masters Thesis, Koshi Tomita, Nagoya University 1995
- Computational Techniques in Quadratic Fields, MSc, Michael Jacobson Jr., University of Manitoba 1995
- The Levels of Modular Representations, PhD Thesis, Kevin Buzzard, Cambridge University
- On the estimates of the measure of linear independence for values of certain analytical functions, PhD Thesis, Wadim Zudilin, Moscow State University 1995
- Ein Algorithmus zur Bestimmung der Punktanzahl elliptischer Kurven über endlichen Körpern der Charakteristik grösser drei, PhD, Volker Müller, University of Saarland 1995 (ps.gz 389K)
- Probabilistic and Constructive Methods in Harmonic Analysis and Additive Number Theory, Mihail Kolountzakis, Thesis, Stanford, May 1994
- Sums of quadratic characters, PhD thesis, Mary Vlastnik Armon, University of Michigan, 1994
- Conséquences et aspects expérimentaux des conjectures abc et de Szpiro, PhD Thesis, Abderrahmane Nitaj, Caen 1994
- Eine Implementierung des Algorithmus von Atkin zur Bestimmung der Punktanzahl elliptischer Kurven über endlichen Primkörpern der Charakteristik größer drei, MSc Thesis, Markus Maurer, University of Saarland 1994 (ps.gz 275K)
- Über die Berechnung von Teilkörpern algebraischer Zahlkörper Jürgen Klüners, Diplomarbeit TU Berlin, 1995
- Computation of Leopoldt's p-adic Regulator, PhD Thesis, Peter Panayi, University of East Anglia 1995
- Sur quelques tests probabilistes de primalité, Thèse, F. Arnault, Poiters 1993
- On the psixyology of Diophantine equations, P. Moree, PhD thesis 1993, Leiden
- Computing the rank of an elliptic curve, Undergraduate thesis, Jeff Achter, Brown University 1992
- Refined class number formulas for derivatives of L-series, PhD Thesis, Henri Darmon, Harvard 1991
- Courbes elliptiques et tests de primalité, Thèse, François Morain, Université de Lyon I, 1990
- Diophantine Approximation and the qx+1 Problem, PhD thesis, Zachary Martin Franco, UC Berkeley 1990
- Estimates of the number of primes representable by quadratic polynomials in two variables, PhD thesis, Susan Purdon, University of Glasgow 1990
- A general theory of inclusion-exclusion with application to the least primitive root problem and other density questions, PhD thesis, Robert N. Buttsworth, University of Queensland 1983
- Applications of the hypergeometric function in effective Diophantine approximation, PhD thesis, David Easton, University of Waterloo, 1986
- Topics in prime number theory, PhD thesis, Amit Ghosh, Nottingham 1981
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