1 Jan Steffen Müller Contact information Residential address Personal information Research Interests Employment Institut für Mathematik Carl von Ossietzky Universität Homepage: Oldenburg Office: W Oldenburg Phone: Ohlsdorfer Str Hamburg, Germany Born on May 12th, 1983 in Gießen, Germany Number Theory, Arithmetic Geometry Universität Oldenburg, Oldenburg, Germany Juniorprofessor (assistant professor), since January 2014 Universität Hamburg, Hamburg, Germany Postdoc, September 2010 December 2013 Education Universität Bayreuth, Bayreuth, Germany PhD student, Mathematics, October 2008 September 2010 Dissertation: Computing canonical heights on Jacobians, defended on December 16th, 2010 Advisor: Michael Stoll Jacobs University, Bremen, Germany PhD student, Mathematics, September September 2008 Thesis topic: Computing canonical heights on Jacobians Advisor: Michael Stoll University of Cambridge, Cambridge, United Kingdom Master of advanced studies in mathematics (formerly Certificate of advanced studies in mathematics), June 2006 Technische Universität Darmstadt, Darmstadt, Germany B.Sc., Mathematics with Computer Science, June 2005 Thesis topic: Attacks on the elliptic curve discrete logarithm problem Middle East Technical University, Ankara, Turkey Exchange year: September 2004 June 2005 Grants and Awards Deutsche Forschungsgemeinschaft: DFG-grant KU 2359/2-1 for the project Arithmetic of superelliptic curves with Ulf Kühn, April 2012 March 2014 Deutsche Forschungsgemeinschaft: DFG-grant STO 299/5-1 for the project Canonical Heights on
2 Hyperelliptic Jacobians with Michael Stoll, December 2007 September 2010 Jacobs University, Bremen: Scholarship, September 2006 November 2007 Jesus College, Cambridge: R.A. Watchman Prize, June 2006 Jesus College, Cambridge: Foundation Scholarship, June 2006 Jesus College, Cambridge: Foundation Scholarship, June 2006 Cambridge University: Cambridge European Trust Grant, September June 2006 Publications A geometric approach to construction elements of K 2 of curves (with Ulf Kühn) Preprint (2015) Lower bounds on the arithmetic self-intersection of the relative dualizing sheaf (with Ulf Kühn) Preprint (2012), submitted. Rational points on Jacobians of hyperelliptic curve to appear in: T. Shaska, E. Zhupa (eds.): The arithmetic of hyperelliptic curves, IOS Press (2015). varieties (with Jennifer Balakrishnan and William Stein), to appear in Math. Comp. (2015). Quadratic Chabauty: p-adic height pairings and integral points on hyperelliptic curves (with Jennifer Balakrishnan und Amnon Besser) to appear in Journal für die reine und angewandte Mathematik (2015). A height inequality for rational points on elliptic curves implied by the abc conjecture (with Ulf Kühn) Functiones et Approximatio Commentarii Mathematici 52, (2015). Canonical heights and division polynomials (with Robin de Jong) Math. Proc. Camb. Phil. Soc. 157, (2014). Explicit Kummer varieties of hyperelliptic Jacobian threefolds LMS J. Comput. Math. 17, (2014). Computing canonical heights using arithmetic intersection theory Math. Comp. 83, (2014). Local heights on elliptic curves and intersection multiplicities (with V. Busch) Int. J. Number Theory 8, No. 6, (2012). Computing canonical heights on Jacobians PhD thesis, Universität Bayreuth, (2010). Explicit Kummer surface theory for arbitrary characteristic LMS J. Comput. Math. 13, (2010). Talks Quadratic Chabauty Oberseminar Arithmetische Geometrie, May 2015, Universität Bielefeld, Germany Quadratic Chabauty
3 SFB/TR 45 Colloquium, January 2015, Universität Mainz, Germany Computing integral points on hyperelliptic curves Mathematics Colloquium, October 2015, Jacobs University Bremen, Germany Rational points on the Jacobians of hyperelliptic curves Lecture series at the NATO Advanced Study Institut, August/September 2014, Ohrid, Macedonia Explizite Methoden zur Lösung diophantischer Gleichungen Antrittsvorlesung, July 2014, Carl von Ossietzky Universität Oldenburg Canonical heights on Jacobians of curves of genus 2 Mathematical Aspects of Curve Based Cryptography, Workshop, May 2014, Bogazici Üniversitesi, Istanbul, Turkey Diophantische Gleichungen und Computeralgebra Plenary talk at Computeralgebra-Tagung, May 2014, Universität Kassel, Germany A p-adic BSD conjecture for modular abelian varieties Intercity Number Theory Seminar, January 2014, Rijksuniversiteit Groningen, Netherlands p-adic heights and integral points on hyperelliptic curves Rational Points 2013, July 2013, Schloss Thurnau, Universität Bayreuth, Germany joint talk with J. Balakrishnan p-adic heights and integral points on hyperelliptic curves Heights and Moduli Spaces, June 2013 Universiteit Leiden, Netherlands p-adic heights and integral points on hyperelliptic curves Rational Points Geometric, Analytic and Explicit Approaches, May 2013, Mathematics Research Institute, University of Warwick, United Kingdom Canonical heights on Jacobians of hyperelliptic curves Seminar Algebra, Geometry and Number theory, March 2013 Universiteit Leiden, Netherlands varieties Research Seminar on arithmetic Geometry, November 2012, Humboldt Universität zu Berlin, Germany varieties Arithmetic of L-functions, October 2012, University of Bristol, United Kingdom varieties
4 Rational Points on Curves: A p-adic and Computational Perspective, September 2012, Oxford University, United Kingdom Algorithmische Arithmetische Schnitttheorie Computeralgebra-Tagung, May 2012, Universität Kassel, Germany Computing canonical heights using arithmetic intersection theory Séminaire de Cryptographie de Rennes, December 2011, Université Rennes I, France Applications of dual graphs in arithmetic geometry North German Algebraic Geometry Seminar, November 2011, Leibniz-Universität Hannover, Germany Computing heights using Arakelov intersection theory Kyoto-Paris-Barcelona Seminar on Arakelov Geometry, September 2011, Universitat de Barcelona, Spain Algorithmische Aspekte der Vermutung von Birch und Swinnerton-Dyer Oberseminar Algebraic Geometry, June 2011, Fachbereich Mathematik, LMU München, Germany Computing canonical heights using arithmetic intersection theory Seminar of the Forschergruppe Algebraic cyles and L-Functions, May 2011, Fachbereich Mathematik, Universität Regensburg, Germany Arithmetik von Kummer-Varietäten Seminar Algebra, February 2011, Fachbereich Mathematik, Universität Oldenburg, Germany Canonical heights on hyperelliptic Jacobians II Rational Points 3, July 2010, Schloss Thurnau, Universität Bayreuth, Germany Computing canonical heights on Jacobians Rational Points - Theory and Experiment, May 2010, ETH Zürich, Switzerland Greensche Funktionen durch Theta-Funktionen Seminar Arithmetische Geometrie und Zahlentheorie, January 2010, Fachbereich Mathematik, Universität Hamburg, Germany Kanonische Höhen und Arakelov-Theorie Seminar Arithmetische Geometrie und Zahlentheorie, November 2009, Fachbereich Mathematik, Universität Hamburg, Germany Explicit Kummer surface theory for arbitrary characteristic Rational points on curves and higher-dimensional varieties, June 2008, Mathematics Research Institute, University of Warwick, United Kingdom Canonical heights on hyperelliptic Jacobians Rational points on curves and higher-dimensional varieties, July 2007, Jacobs University, Bremen, Germany Research visits Department of Mathematics, University of Oxford
5 Mathematisches Institut, Universität Bayreuth, Germany Mathematisch Instituut, Universiteit Leiden, Netherlands Department of Mathematics, Harvard University Mathematisches Institut, Universität Bayreuth School of Mathematics and Statistics, University of Sydney, Australia Université Rennes I, France Department of Mathematics, Massachusetts Institute of Technology, USA Mathematics Research Institute, University of Warwick, UK Department of Mathematics, University of Oxford, UK Mathematics Research Institute, University of Warwick, UK Teaching experience Carl von Ossietzky Universität Oldenburg Lecture Computational Number Theory, winter term 2014/15 Tutorials Computational Number Theory, winter term 2014/15 Reading Course Elliptische Kurven und Kryptographie 2, winter term 2014/15 Lecture Elliptische Kurven und Kryptographie, summer term 2014 Tutorials Elliptische Kurven und Kryptographie, summer term 2014 Universität Hamburg Teaching assistant Linear Algebra I, winter term 2011/12 Linear Algebra II, summer term 2011 Linear Algebra I, winter term 2010/11 Lecturer / organizer Lecture Diophantine Approximation, summer term 2013 Course on mathematical software, with V. Busch und U. Kühn, winter term 2011/12 Preparatory course for mathematics students, with A. Posingies, winter term 2011/12 Seminar Arithmetic of elliptic curves, winter term 2010/11 Preparatory course for mathematics students, with C. Curilla, winter term 2010/11 Technische Universität Darmstadt Teaching assistant Analysis II, summer term 2004
6 Analysis I, winter term 2003/04 Students Carl von Ossietzky Universität Oldenburg PhD students Christian Neurohr: Efficient Integration on Riemann surfaces and applications (expected 2017) Bachelor students Laura-Isabell Möller: Elliptic divisibility sequences (expected 2015) Universität Hamburg PhD theses (jointly with Ulf Kühn) Malte Moos: Arakelov invariants in families of superelliptic curves (expected 2015) Master s theses (jointly with Ulf Kühn) Sebastian Fleischer: Kedlaya s algorithm in charakteristic 2 (2013) Kathrin Rosenbusch: The arithmetic-geometric mean and elliptic curves (2013) Malte Moos: Computation of regular models in families of superelliptic curves (2011) Bachelor s theses Phillip Molle: The algorithm of Goldwasser and Killian (2011) Conferences organized North German Algebraic Geometry Seminar (with Jaap Top) combined with the Belgian-Dutch Algebraic Geometry Seminar (organised by Ben Moonen, Johannes Nicaise and Lenny Taelman), Nijmegen, S 2 AM, Summer School in Algorithmic Mathematics September 2013, Universität Hamburg, Germany with Yue Ren.