Michiel Kosters – Curriculum Vitae - Mathematisch Instituut Leiden

Personal information
Michiel Kosters
Curriculum Vitae
Name Michiel Kosters.
Date of birth 04–06–1987.
Address Mathematisch Instituut, P.O. Box 9512, 2300 RA Leiden, The Netherlands.
Phone +31-715277142 .
Email mkosters@math.leidenuniv.nl.
Website www.math.leidenuniv.nl/~mkosters.
Education
2010–2014 PhD in Mathematics, Universiteit Leiden, Leiden.
Thesis: Groups and fields in arithmetic; supervisor: Prof.dr. H.W. Lenstra
2008–2010 Master in Mathematics, Universiteit Leiden, Leiden, Cum laude.
Track: Algebra, Geometry and Number Theory
Thesis: Anisotropic modules and the integral closure; supervisor: Prof.dr. H.W. Lenstra
2005–2008 Bachelor in Mathematics, Universiteit Leiden, Leiden, Cum laude.
Thesis: Schubert Calculus; supervisor: Dr. R.S. de Jong
1999–2005 High school, Christelijk Gymnasium Sorghvliet, The Hague, Cum laude.
Track: Natuur en Techniek, Natuur en Gezondheid
Publications and preprints
Current projects
12 Presentations for quaternionic S-unit groups.
11 Futile algebras.
10 Automorphism groups of fields.
9 Deterministically generating Picard groups of hyperelliptic curves over finite fields.
8 Shape paremeter of finite abelian groups.
7 Density of images of maps between curves over algebraic extensions of finite fields.
6 The algebraic theory of valued fields.
Accepted papers
5 Anisotropic modules over artinian principal ideal rings, to appear in Communications
in Algebra.
4 Anisotropy and the integral closure, J. Number Theory 136 (2014), 261-286.
3 The subset sum problem for finite abelian groups, J. Combin. Theory Ser. A 120
(2013), no. 3, 527-530.
mkosters@math.leidenuniv.nl • www.math.leidenuniv.nl/ ˜mkosters
Date: January 4, 2014, Michiel Kosters 1/4

Other documents
2 Anisotropy and the integral closure, Master thesis, Leiden, 2010.
1 Schubert Calculus, Bachelor thesis, Leiden, 2008.
Teaching
Assistant
I have been assistant for the following courses at the Universiteit Leiden. This means giving exercise sessions,
grading homework, . . . .
Fall 2013 Topics in Field Theory.
Spring 2013 Class Field Theory.
Fall 2012 Linear Algebra 1.
Spring 2012 Algebra 3.
Fall 2011 Introduction to Manifolds.
Fall 2011 Elliptic Curves.
Spring 2011 Algebra 1.
Fall 2010 Algebraic Number Theory.
2009–2010 LPC-seminar (three semesters).
Fall 2008 Linear Algebra 2.
Spring 2008 Algebra 1.
Fall 2007 Linear Algebra 1.
Supervisor
2013 Bachelor thesis, on rings with finitely many ideals.
Talks given
2013 Images of a polynomial map on a field, Diamanst symposium, Lunteren.
2013 Chapter 5 of Introduction to Commutative Algebra by Atiyah Macdonald, Student
seminar, Leiden.
2013 Ringen met eindig veel idealen, Bachelorseminarium, Leiden.
2013 Generating the rational points of an elliptic curve over F q by looking at x-coordinates,
Phd Students seminar in Number Theory, Bordeaux.
2012 Generating the rational points of an elliptic curve over F q by looking at x-coordinates,
Intercity seminar, Leiden.
2012 Futile algebras, Interciy seminar, Leiden.
2012 Determining S-units of an order in a quaternion algebra, Algebra, geometry and number
theory seminar, Leiden.
2012 Chapter 1, Rings and Ideals, Commutative algebra, Leiden.
2012 Cardinalities of sets, Course communication in science, Leiden.
2012 Effective Cartier divisors, Topics in Algebraic Geometry, Leiden.
2012 Ringen met eindig veel idealen, Bachelorseminarium, Leiden.
2011 Tate’s Thesis II, Fourier analysis on number fields, Leiden.
2011 Subset sum problem, Diamant symposium, Nunspeet.
2011 Profinite groups, Fourier analysis on number fields, Leiden.
mkosters@math.leidenuniv.nl • www.math.leidenuniv.nl/ ˜mkosters
Date: January 4, 2014, Michiel Kosters 2/4

2011 The radical root and the integral closure, Explicit methods in number theory,
Oberwolfach.
2011 Groups acting on rings - a theorem of Tate, Topics in Arithmetic Geometry, Leiden.
2011 A group theoretic approach for finding the ring of integers of a number field, Junior
A/C/N.T Seminar, Cambridge.
2011 Upper numbering of ramification groups, Local fields seminar, Leiden.
2011 Comparing Zariski and fpqc cohomology, Etale cohomology seminar, Leiden.
2011 The geometry of a finite group acting on a ring, Topics in Arithmetic Geometry, Leiden.
2010 Higher reciprocity laws, Class field theory seminar, Leiden.
2010 Anisotropic groups and applications, DIAMANT Symposium, Lunteren.
2010 The Kronecker-Weber theorem, Class field theory seminar, Leiden.
2010 The main statements of class field theory: idelic formulation, Class field theory seminar,
Leiden.
2010 Tameness and the integral closure, Informal workshop on the integral closure, MSRI,
Berkeley.
2010 Final talk about my Master thesis, Leiden.
2010 Short talk about my Master thesis, Leiden.
2010 Uniserial rings, Topics in Arithmetic Geometry 2, Leiden.
2010 Semi-simple modules, rings and its applications to representation theory, Topics in
Arithmetic Geometry 2, Leiden.
2010 Tameness and rings of integers, Intercity Seminar, Leiden.
2010 Chapter 8 of Introduction to Commutative Algebra by Atiyah Macdonald, Commutative
Algebra, Leiden.
2010 Projective modules over Dedekind domains, Topics in Arithmetic Geometry 2, Leiden.
2010 Chapter 2 of Introduction to Commutative Algebra by Atiyah Macdonald, Commutative
Algebra, Leiden.
2009 Injective modules and the injective hull of a module, Topics in Arithmetic Geometry,
Leiden.
2009 Classification of non-degenerate symmetric bilinear forms on finite Abelian groups,
Topics in Arithmetic Geometry, Leiden.
Other activities
2013– Refereed for The Electronic Journal of Combinatorics, Ars Mathematica Contemporanea
2013 Proofreading chapter in cryptography book
2010–2014 Member of Instituutsraad Mathematisch Instituut, Universiteit Leiden
2010–2013 In-house emergency officer
2010–2013 Organizer of the Mathematisch Instituut Leiden BBQ, 6 times
2013 Organizer Sage days: Algorithms in Arithmetic Geometry, Lorentz Center, Leiden
2012 Organizer Topics in Algebraic Geometry seminar, Leiden
2011 Organizer Fourier analysis on number fields seminar, Leiden
2011 Reporter Oberwolfach Explicit Methods in Number Theory
2010–2011 Making posters for Stieltjesdag and Abel in Holland
2009–2010 Member of ‘Opleidingscommissie wiskunde’, Universiteit Leiden
2008 Organizer Landelijke Interuniversitaire Mathematische Olympiade (LIMO, maths contest)
mkosters@math.leidenuniv.nl • www.math.leidenuniv.nl/ ˜mkosters
Date: January 4, 2014, Michiel Kosters 3/4

Awards
2009 2nd place ‘Nacht van Eindhoven’ (optimization contest)
2008 1st place Project Interuniversitaire Olympiade Natuurkunde (PION, physics contest)
2007 1st place Landelijke Interuniversitaire Mathematische Olympiade (LIMO, maths contest)
2007 2nd place Project Interuniversitaire Olympiade Natuurkunde (PION, physics contest)
2006 4th place Landelijke Universitaire Mathematische Olympiade (LIMO, maths contest)
2006 Winner ‘aanmoedigingsprijs natuurkunde’, Universiteit Leiden
2005 Winner physic, chemistry and Latin prize, Christelijk Gymnasium Sorghvliet
Computer skills
Intermediate Python, Sage, C++, L A TEX, Matlab, TI Basic
Basic Pari/GP, HTML, Maple, Javascript, PHP, . . .
Languages
Dutch
English
French
German
Mother tongue
Fluent
Basic
Basic
References
Prof. dr. Bas Edixhoven, University Leiden, edix@math.leidenuniv.nl.
Prof. dr. Ted Chinburg, University of Pennsylvania, ted@math.upenn.edu.
Prof. dr. Hendrik W. Lenstra, Universiteit Leiden, hwl@math.leidenuniv.nl, supervisor.
Prof. dr. Peter Stevenhagen, Universiteit Leiden, psh@math.leidenuniv.nl, teaching.
Prof. dr. Daqing Wan, University of California Irvine, dwan@math.uci.edu.
mkosters@math.leidenuniv.nl • www.math.leidenuniv.nl/ ˜mkosters
Date: January 4, 2014, Michiel Kosters 4/4