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Please note: I have moved to Oldenburg.
- Computational number theory
- Arithmetic Geometry
Note that the pdf files are preprint versions which may differ from the published
versions.
Canonical heights and division polynomials (with Robin de Jong),
Preprint (2013), submitted.
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[pdf]
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[arXiv]
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[Magma-Code] |
p-adic height pairings and integral points on hyperelliptic curves (with Jen Balakrishnan and Amnon Besser),
Preprint (2013), submitted.
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[pdf]
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[arXiv]
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Explicit Kummer varieties of hyperelliptic Jacobian threefolds,
Preprint (2012), submitted.
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[pdf]
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[arXiv]
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[Magma-Code] |
A height inequality for rational points on elliptic curves implied by the abc-conjecture
(with Ulf
Kühn),
Preprint (2012), submitted.
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[pdf]
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[arXiv]
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A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer
for modular abelian varieties (with Jen
Balakrishnan and William Stein),
Preprint
(2012), submitted.
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[pdf]
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[arXiv]
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Lower bounds on the arithmetic
self-intersection number of the relative dualizing sheaf on arithmetic
surfaces (with Ulf
Kühn),
Preprint (2012), submitted.
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[pdf]
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[arXiv]
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Computing canonical heights using
arithmetic intersection theory,
Math. Comp. 83, 311-336 (2014).
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[pdf]
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[arXiv]
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[Magma-Code] |
Local heights on elliptic curves and
intersection multiplicities (with Vincenz Busch),
Int. J.
Number Theory 8, No. 6, 1477-1484 (2012).
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[pdf]
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[arXiv]
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Explicit Kummer surface formulas for arbitrary characteristic,
LMS J. Comput. Math. 13, 47-64 (2010).
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[pdf]
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[arXiv]
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p-adic heights and integral points on hyperelliptic curves
Heights and Moduli spaces , June 2013, Lorentz Center, University of Leiden
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[pdf] |
p-adic heights and integral points on hyperelliptic curves
Rational Points - Geometric, Analytic and Explicit Approaches
, May 2013, University of Warwick
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[pdf] |
A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer
for modular abelian varieties
Arithmetic Geometry Seminar, November 2012, Humboldt
Universität zu Berlin
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[pdf] |
A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer
for modular abelian varieties
Arithmetic of
L-functions, October 2012, University of Bristol
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[pdf] |
A p-adic analogue of the conjecture of Birch and Swinnerton-Dyer
for modular abelian varieties
Rational points on curves: A p-adic and
computational perspective, September 2012, Oxford University
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[pdf] |
Computing canonical heights using arithmetic intersection theory
Séminaire de Cryptographie de Rennes, December 2011, Université Rennes I
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[pdf] |
Algorithmische Aspekte der Vermutung von Birch und Swinnerton-Dyer (in German)
Oberseminar Algebraische Geometrie, June 2011, LMU München
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[pdf] |
Arithmetik von Kummer Varietäten (in German)
Oberseminar
Algebra, February 2011, Universität Oldenburg
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[pdf] |
Computing canonical heights on Jacobians
Rational points: Theory &
Experiment, Workshop, May 2010, ETH Zürich
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[pdf] |
Explicit Kummer surface theory for arbitrary characteristic
Rational points
on curves and higher-dimensional varieties, June 2009, University of Warwick
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[pdf] |
Canonical heights and division polynomials
Explicit formulas for Kummer varieties of Jacobians of hyperelliptic curves of
genus 3
Computing canonical heights on Jacobians of hyperelliptic curves over number
fields using arithmetic intersection theory
Summer term 2013
Winter term 2011/12
Summer term 2011
- Tutorials for linear algebra.
- Exercise classes for linear algebra.
Winter term 2010/11
- Seminar on the arithmetic of elliptic curves.
- Tutorials for linear algebra.
- Prep course for math students.
Together with Yue Ren,
I organized the Summer School in Algorithmic
Mathematics 2013 which took place from September 2 to September 6 in Hamburg.
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