Johan Bosman's home page

Contact information

Mathematics Institute

University of Warwick

Teaching

Current

Algebraic Number Theory

Past

Algebraic Number Theory (Spring 2011)
Seminar analytische Zahlentheorie (Winter 2009/10)
Algebra 1 (TA, Spring 2008)
Topics in Geometry (TA, Autumn 2007)
Algebraic Geometry (TA, Spring 2007)
Topics in Geometry (TA, Autumn 2006)
Topics in Geometry 2 (TA, Spring 2006)
Topics in Geometry 1 (TA, autumn 2005)
Analyse 4 (TA, Spring 2005)
Wiskunde 1A (TA, autumn 2004)

Research

I started in July 2010 as a Marie Curie postdoc in the Number Theory research group.

Papers

(With P. Bruin, A. Dujella, and F. Najman) Ranks of elliptic curves with prescribed torsion over number fields, prerpint, submitted, arXiv link
Modular forms applied to the computational inverse Galois problem, preprint, submitted, pdf
Computations with modular forms and Galois representations, in: Computational aspects of modular forms and Galois representations (J-M. Couveignes, S.J. Edixhoven eds.), Ann. Math. Stud. 176 (2011) 129-157, arXiv link
Polynomials for projective representations of level one forms, in loc. cit., 159-172.
Explicit computations with modular Galois representations, PhD thesis, Universiteit Leiden, 2008, link
A polynomial with Galois group SL₂(F₁₆), LMS J. Comput. Math. 10 (2007) 378-388, pdf
Boyd's conjecture for a family of genus 2 curves, Master's thesis, Universiteit Utrecht, 2004, pdf
(With L. Taelman) On sums of sums of values of Dirichlet characters, Nieuw Arch. Wiskd. (5) 2 (2001) no. 2, 133-134, pdf

Code

₂

₁₆

here

poster

Sage code

Selected Talks

Ranks of elliptic curves with prescribed torsion over number fields, Cambridge, February 2012
Mini course modular forms, Luxembourg, February 2012
Implementation presentation: Computing with Galois representations of modular forms, Workshop "Computations with modular forms", Heidelberg, Septemper 2011, Sage worksheet
Explicit computation of Galois representations associated to modular forms, Number theory lunch seminar, Bonn, November 2009
Computing polynomials attached to modular Galois representations, Workshop "Computations with modular forms", Bristol, August 2008, slides
Mini course Galois representations of modular forms, Warwick, April 2008
Computation of Galois representations associated to modular forms: some explicit results, Workshop arithmetic geometry, Essen, January 2008
A polynomial with Galois group SL₂(F₁₆), Intercity seminar number theory, Leiden, May 2007
Computations in inverse Galois theory, Nederlands mathematisch congres, Leiden, April 2007, slides
Construction of non-solvable polynomials over Q, Diamant symposium, Vught, December 2006
Galois representations associated to modular forms, Intercity seminar number theory, Leiden, September 2005, notes
Finding good ABC triples, part II, Intercity seminar number theory, Leiden, September 2005, notes (in Dutch)
On the computation of coefficients of modular forms, part II: explicit calculations, Workshop "Explicit methods in number theory", Oberwolfach, July 2005, notes
The first practical calculations: congruences for Ramanujan's tau function mod 13, Séminaire de Cryptographie, Rennes, April 2005

Seminars

Galois deformations (Autumn 2011)
Intercity number theory seminar
Warwick number theory seminar
Arbeitsgemeinschaft des IEM (Summer 2010)
Cohomology of modular curves and local Langlands for GL₂ (Summer 2010)
The eigencurve (Winter 2009/2010)
p-adic L-functions (Summer 2009)
Rational points on curves over finite fields (Spring 2008)
Moduli spaces and modular forms (Autumn 2007)
Néron models (Spring 2007)

Links

Last modification: 29 February 2012