Integrability of oscillatory functions on local fields: Transfer principles [published, arxiv]
TI
with R. Cluckers, J. Gordon;
Duke Math. J., 163 (2014), 1549-1600.
Local integrability results in harmonic analysis on reductive groups in large positive characteristic [published, arxiv]
CH
with R. Cluckers, J. Gordon;
Ann. Sci. Éc. Norm. Supér. (4), 47 (2014), 1163-1195.
Motivic functions, integrability, and applications to harmonic analysis on p-adic groups [published, arxiv]
AD
with R. Cluckers, J. Gordon;
Electron. Res. Announc. Math. Sci., 21 (2014), 137-152.
Appendix B of: S.-W. Shin, N. Templier:
Sato-Tate theorem for families and low-lying zeros of automorphic L-functions [published, arxiv]
APP
with R. Cluckers, J. Gordon;
Inventiones mathematicae, 203 (2015), 1-177.
Transfer principles for bounds of motivic exponential functions [published, arxiv]
seq1
with R. Cluckers, J. Gordon;
in Proceedings of the Simons Symposium on "Families of
automorphic forms and the trace formula", W. Müller, S. W.
Shin, and N. Templier, eds., Springer International
Publishing, Cham, 2016, 111-127.
Integration of functions of motivic exponential class, uniform in all non-archimedean local fields of characteristic zero [published, arxiv]
allQp
with R. Cluckers;
Journal de l'École polytechnique - Mathématiques, 5 (2018), 45-78.
Distributions and wave front sets in the uniform non-archimedean setting [published, arxiv]
ud
with R. Cluckers, F. Loeser, M. Raibaut;
Transactions of the London Mathematical Society, 5 (2018), 97-131.
An introduction to motivic integration [published, arxiv]
mmm
in Lectures in Model Theory, F. Jahnke, D. Palacín,
and K. Tent, eds., Münster Lectures in Mathematics, European
Mathematical Society (EMS), Zürich, 2018.
Uniform analysis on local fields and applications to orbital integrals [published, arxiv]
seq2
with R. Cluckers, J. Gordon;
Trans. Amer. Math. Soc. Ser. B, 5 (2018), 125-166.
A p-adic variant of Kontsevich-Zagier integral operation rules and of Hrushovski-Kazhdan style motivic integration [published, arxiv]
grQp
with R. Cluckers;
Journal für die reine und angewandte Mathematik, 2021 (2021), 105-121.
Evaluation of motivic functions, non-nullity, and integrability in fibers [published, arxiv]
eval
with R. Cluckers;
Adv. Math., 409 (2022), Paper No. 108635, 29.
Singularities and Stratifications:
Trees of definable sets over the p-adics [published, arxiv]
in Proceedings of the conference "Motivic Integration and
its interaction with Model Theory and Non-Archimedean Geometry",
R. Cluckers, J. Nicaise, and J. Sebag, eds., Cambridge
University Press, 2011, 87-107.
with R. Cluckers, S. Rideau-Kikuchi;
Forum of Mathematics, Pi, 10 (2022), e11.
Spherically complete models of Hensel minimal valued fields [arxiv]
sph
with D. Bradley-Williams;
(2021).
Preprint.
Hensel minimality II: Mixed characteristic and a diophantine application [arxiv]
hmin2
with R. Cluckers, S. Rideau-Kikuchi, F. Vermeulen;
(2021).
Preprint.
Other Model Theory:
A measure for perfect PAC fields with pro-cyclic Galois group [published]
meas
Journal of Algebra, 310 (2007), 371-395.
Motives for perfect PAC fields with pro-cyclic Galois group [published, arxiv]
mot
J. Symbolic Logic, 73 (2008), 1036-1050.
Quantifier elimination in ordered abelian groups [published, arxiv]
oag
with R. Cluckers;
Confluentes Mathematici, 3 (2011), 587-615.
A language for quantifier elimination in ordered abelian groups [web]
oagLang
in Séminaire de Structures Algébriques Ordonnées
2009-2010, F. Delon, M. A. Dickmann, and
D. Gondard, eds., vol. 85, Équipe de Logique Mathématique, Paris,
2011, 11 pp.
Dimension in topological structures: topological closure and local property [web]
dim
with A. Fornasiero;
in Groups and Model Theory, vol. 576 of Contemp. Math., Amer.
Math. Soc., Providence, RI, 2012, 89-94.
Definable sets up to definable bijections in Presburger groups [published, arxiv]
grZ
with R. Cluckers;
Transactions of the London Mathematical Society, 5 (2018), 47-70.
Representation Theory:
Untersuchungen zu den Kazhdan-Lusztig-Polynomen und zu dazu passenden Bimoduln [web]
dipl
2000.
Diploma thesis, 56 pp.
Kategorielle Langlands-Korrespondenz für die verallgemeinerten Lorentz-Gruppen [web]
d
2005.
PhD thesis, 68 pp.
Categorical Langlands correspondence for SOn,1(ℝ) [published]
with J.-C. Schlage-Puchta;
Integers, 7 (2007), G2, 28 pp. (electronic).
Some strategies for higher dimensional animal achievement games [published]
highdim
with J.-C. Schlage-Puchta;
Discrete Math., 308 (2008), 3470-3478.
Inductive methods and zero-sum free sequences [published, arxiv]
Dav
with G. Bhowmik, J.-C. Schlage-Puchta;
Integers, 9 (2009), A40, 515-536.
Lower bounds for q-ary codes with large covering radius [published]
codes
with W. Haas, J.-C. Schlage-Puchta;
Electron. J. Combin., 16 (2009), Research Paper 133, 21 pp.
The structure of maximal zero-sum free sequences [published, arxiv]
propB
with G. Bhowmik, J.-C. Schlage-Puchta;
Acta Arith., 143 (2010), 21-50.
Zero-sum free sets with small sum-set [published, arxiv]
f
with G. Bhowmik, J.-C. Schlage-Puchta;
Math. Comp., 80 (2011), 2253-2258.
Publications in Computer Science:
CS Freiburg's Participation at RoboCup'98: The World Champions in Robotic Soccer [web]
robo98
with B. Nebel, W. Hatzack, T. Weigel, J.-S. Gutmann, F. Rittinger, A. Topor;
AI Communications, 11 (1998), 243-248.
The CS Freiburg Robotic Soccer Team: Reliable Self-Localization, Multirobot Sensor Integration, and Basic Soccer Skills [web]
selfLoc
with J.-S. Gutmann, W. Hatzack, B. Nebel, F. Rittinger, A. Topor, T. Weigel;
in RoboCup-98: Robot Soccer World Cup II, M. Asada
and H. Kitano, eds., Springer-Verlag, Berlin, Heidelberg, New
York, 1999, 93-108.
Pinning balloons with perfect angles and optimal area [published, arxiv]
balloon
with A. Schulz;
J. Graph Algorithms Appl., 16 (2012), 847-870.
Non-Scientific Publications:
Nazo Nazo. Das große Buch der japanischen Zahlenrätsel
nazo
with B. Seckinger;
Fischer Taschenbuch Verlag, Frankfurt, 2006.
Sudoku, meisterhaft 2. Alle Rätsel der zweiten deutschen Sudokumeisterschaft
sudoku
with S. Heine, B. Seckinger;
Presse Service Heine, 2007.
My official page at the HHU