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== Publications/Preprints (in reverse chronological order) ==
 
== Publications/Preprints (in reverse chronological order) ==
 
=== 2021 ===
 
=== 2021 ===
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* [https://homepages.uni-regensburg.de/~mom33723/ M. Moraschini], [https://graptismath.net/index.html G. Raptis]. Amenability and acyclicity in bounded cohomology theory, [https://arxiv.org/abs/2105.02821 arXiv:2105.02821 math.AT]; 05/2021
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* [http://www.mathematik.uni-regensburg.de/loeh C. Löh], [https://homepages.uni-regensburg.de/~mom33723/ M. Moraschini]. Topological volumes of fibrations: A note on open covers, [https://arxiv.org/abs/2104.06038 arXiv:2104.06038 math.GT]; 04/2021
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* [https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, Ramified class field theory and duality over finite fields, [https://arxiv.org/abs/2104.03029 arXiv:2104.03029]; 04/2021
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* [http://www.mathematik.uni-regensburg.de/ammann/ B. Ammann], [http://homepages.uni-regensburg.de/~glj57400/ J. Glöckle], [http://www.mathematik.uni-regensburg.de/ammann/preprints/lorentzdec/ Dominant energy condition and spinors on Lorentzian manifolds], [https://arxiv.org/abs/2103.11032 arXiv:2103.11032]; 03/2021.
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* [http://www.mathematik.uni-regensburg.de/kerz/ M. Kerz], S. Saito, G. Tamme. K-theory of non-archimedean rings II. [https://arxiv.org/abs/2103.06711 arXiv:2103.06711]; 03/2021
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* F. Hanisch, [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig]. A Rigorous Construction of the Supersymmetric Path Integral Associated to a Compact Spin Manifold. [https://arxiv.org/abs/1709.10027 arXiv:1709.10027]; 03/2021
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* F. Hanisch, [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig]. The Fermionic integral on loop space and the Pfaffian line bundle. [https://arxiv.org/abs/1709.10028 arXiv:1709.10028]; 03/2021
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* B. Güneysu, [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig]. The Chern Character of theta-summable Fredholm Modules over dg Algebras and Localization on Loop Space. [https://arxiv.org/abs/1901.04721 arXiv:1901.04721]; 03/2021
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* J.I. Burgos Gil, [http://www.mathematik.uni-regensburg.de/gubler/index.html W. Gubler], P. Jell, [http://www.uni-regensburg.de/mathematik/mathematik-kuennemann/index.html K. Künnemann]. Pluripotential theory for tropical toric varieties and non-archimedean Monge-Ampére equations. [https://arxiv.org/abs/2102.07392 arXiv:2102.07392]; 02/2021
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* [https://sites.google.com/view/lucapol/home L. Pol], N.P. Strickland. Representation stability and outer automorphism groups. [https://arxiv.org/abs/2102.06410 arxiv:2102.06410]; 02/2021
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* T. Fenzl. Extended skeletons of poly-stable pairs, [https://arxiv.org/abs/2102.05130 arxiv:2102.05130]; 02/2021
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* [https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, Idele class groups with modulus, [https://arxiv.org/abs/2101.04609 arXiv:2101.04609]; 01/2021
 
* [https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, Idele class groups with modulus, [https://arxiv.org/abs/2101.04609 arXiv:2101.04609]; 01/2021
  
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* [https://sites.google.com/view/lucapol/home L. Pol], J. Williamson. The homotopy theory of complete modules. [https://arxiv.org/abs/2011.06989 arXiv:2011.06989]; 11/2020
 
* [https://sites.google.com/view/lucapol/home L. Pol], J. Williamson. The homotopy theory of complete modules. [https://arxiv.org/abs/2011.06989 arXiv:2011.06989]; 11/2020
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* S. Boucksom, [http://www.mathematik.uni-regensburg.de/gubler/index.html W. Gubler], F. Martin. Non-Archimedean volumes of metrized nef line bundles. [https://arxiv.org/abs/2011.06986 arXiv:2011.06986]; 11/2020
  
 
* T. Bachmann, A. A. Khan, [https://homepages.uni-regensburg.de/~rac18089/ C. Ravi], V. Sosnilo. Categorical Milnor squares and K-theory of algebraic stacks. [https://arxiv.org/abs/2011.04355 arXiv:2011.04355]; 11/2020
 
* T. Bachmann, A. A. Khan, [https://homepages.uni-regensburg.de/~rac18089/ C. Ravi], V. Sosnilo. Categorical Milnor squares and K-theory of algebraic stacks. [https://arxiv.org/abs/2011.04355 arXiv:2011.04355]; 11/2020
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*[https://www.dpmms.cam.ac.uk/~nh441/ N. Heuer], [http://www.mathematik.uni-regensburg.de/loeh C. Löh], The spectrum of simplicial volume of non-compact manifolds, [https://arxiv.org/abs/2010.12945 arXiv:2010.12945]; 10/2020.
 
*[https://www.dpmms.cam.ac.uk/~nh441/ N. Heuer], [http://www.mathematik.uni-regensburg.de/loeh C. Löh], The spectrum of simplicial volume of non-compact manifolds, [https://arxiv.org/abs/2010.12945 arXiv:2010.12945]; 10/2020.
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*[https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], Z. Yi, A Short Proof of the Localization Formula for the Loop Space Chern Character of Spin Manifolds, [https://arxiv.org/abs/2010.05892 arXiv:2010.05892]; 10/2020.
  
 
*[http://www.mathematik.uni-regensburg.de/friedl/index.html S. Friedl], [http://www.mathematik.uni-regensburg.de/loeh C. Löh], Epimorphism testing with virtually Abelian targets, [https://arxiv.org/abs/2010.07537 arXiv:2010.07537]; 10/2020.
 
*[http://www.mathematik.uni-regensburg.de/friedl/index.html S. Friedl], [http://www.mathematik.uni-regensburg.de/loeh C. Löh], Epimorphism testing with virtually Abelian targets, [https://arxiv.org/abs/2010.07537 arXiv:2010.07537]; 10/2020.
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* N.Sardari, [https://sites.google.com/view/masoudzargar M.Zargar], New upper bounds for spherical codes and packings, [https://arxiv.org/abs/2001.00185 arXiv:2001.00185]; 09/2020
 
* N.Sardari, [https://sites.google.com/view/masoudzargar M.Zargar], New upper bounds for spherical codes and packings, [https://arxiv.org/abs/2001.00185 arXiv:2001.00185]; 09/2020
  
* [https://homepages.uni-regensburg.de/~rac18089/ C. Ravi], B. Sreedhar. Virtual equivariant Grothendieck-Riemann-Roch formula. [https://arxiv.org/abs/2009.09697 arXiv:2009.09697]; 09/2020
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*[https://homepages.uni-regensburg.de/~rac18089/ C. Ravi], B. Sreedhar. Virtual equivariant Grothendieck-Riemann-Roch formula. [https://arxiv.org/abs/2009.09697 arXiv:2009.09697]; 09/2020
  
 
* B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, [http://markus-land.de/ M. Land], [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], T. Nikolaus, W. Steimle. Hermitian K-theory for stable ∞-categories III: Grothendieck-Witt groups of rings [http://arxiv.org/abs/2009.07225 arXiv:2009.07225]; 09/2020
 
* B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, [http://markus-land.de/ M. Land], [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], T. Nikolaus, W. Steimle. Hermitian K-theory for stable ∞-categories III: Grothendieck-Witt groups of rings [http://arxiv.org/abs/2009.07225 arXiv:2009.07225]; 09/2020
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*  [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], G. C. Thiang. Gaplessness of Landau Hamiltonians on hyperbolic half-planes via coarse geometry. [https://arxiv.org/abs/2009.07688 arXiv:2009.07688]; 09/2020. To appear in Comm. Math. Phys.
  
 
* B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, [http://markus-land.de/ M. Land], [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], T. Nikolaus, W. Steimle. Hermitian K-theory for stable ∞-categories II: Cobordism categories and additivity [https://arxiv.org/abs/2009.07224 arXiv:2009.07224]; 09/2020
 
* B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, [http://markus-land.de/ M. Land], [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], T. Nikolaus, W. Steimle. Hermitian K-theory for stable ∞-categories II: Cobordism categories and additivity [https://arxiv.org/abs/2009.07224 arXiv:2009.07224]; 09/2020
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* [http://www.mathematik.ur.de/hoyois/ M. Hoyois], Joachim Jelisiejew, [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], Burt Totaro, [https://www.muramatik.com M. Yakerson]. The Hilbert scheme of infinite affine space and algebraic K-theory. [https://arxiv.org/abs/2002.11439 arXiv:2002.11439]; 09/2020
 
* [http://www.mathematik.ur.de/hoyois/ M. Hoyois], Joachim Jelisiejew, [https://homepages.uni-regensburg.de/~nad22969/ D. Nardin], Burt Totaro, [https://www.muramatik.com M. Yakerson]. The Hilbert scheme of infinite affine space and algebraic K-theory. [https://arxiv.org/abs/2002.11439 arXiv:2002.11439]; 09/2020
  
* [http://homepages.uni-regensburg.de/~key46257/ Y. Kezuka], Tamagawa number divisibility of central L-values of twists of the Fermat elliptic curve. [https://arxiv.org/abs/2003.02772 arXiv:2003.02772 math.NT]; 08/2020  
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*[http://homepages.uni-regensburg.de/~key46257/ Y. Kezuka], Tamagawa number divisibility of central L-values of twists of the Fermat elliptic curve. [https://arxiv.org/abs/2003.02772 arXiv:2003.02772 math.NT]; 08/2020  
  
 
* E. Elmanto, [https://homepages.uni-regensburg.de/~nad22969/research.php D. Nardin] and L. Yang. A descent view on Mitchell's theorem [https://arxiv.org/abs/2008.02821 arXiv:2008.02821]; 08/2020
 
* E. Elmanto, [https://homepages.uni-regensburg.de/~nad22969/research.php D. Nardin] and L. Yang. A descent view on Mitchell's theorem [https://arxiv.org/abs/2008.02821 arXiv:2008.02821]; 08/2020
  
* [https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, Reciprocity for Kato-Saito idele class group with modulus, [https://arxiv.org/abs/2008.05719 arXiv:2008.05719]; 08/2020
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*[https://sites.google.com/view/rahul-gupta-math/welcome R. Gupta], A. Krishna, Reciprocity for Kato-Saito idele class group with modulus, [https://arxiv.org/abs/2008.05719 arXiv:2008.05719]; 08/2020
  
 
* S. Baader, R. Blair, A. Kjuchukova and [https://homepages.uni-regensburg.de/~mif57716/ F. Misev]. The bridge number of arborescent links with many twigs. [https://arxiv.org/abs/2008.00763 arXiv:2008.00763]; 08/2020
 
* S. Baader, R. Blair, A. Kjuchukova and [https://homepages.uni-regensburg.de/~mif57716/ F. Misev]. The bridge number of arborescent links with many twigs. [https://arxiv.org/abs/2008.00763 arXiv:2008.00763]; 08/2020
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* G. Herrmann and [https://homepages.uni-regensburg.de/~quj44976/ J. P. Quintanilha]. The Complex of Hypersurfaces in a Homology Class. [https://arxiv.org/abs/2007.00522 arXiv:2007.00522]; 07/2020
 
* G. Herrmann and [https://homepages.uni-regensburg.de/~quj44976/ J. P. Quintanilha]. The Complex of Hypersurfaces in a Homology Class. [https://arxiv.org/abs/2007.00522 arXiv:2007.00522]; 07/2020
  
*A. Galateau and [https://cesar-martinez-math.weebly.com C. Martínez]. Homothéties explicites des représentations ℓ-adiques. [https://arxiv.org/abs/2006.07401 arXiv:2006.07401]; 06/2020
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* [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], S. Roos. The Chiral Anomaly of the Free Fermion in Functorial Field Theory. [https://arxiv.org/abs/2010.05892 arXiv:2010.05892]; Ann. Henri Poincare, 21:1191-1233, 06/2020.
  
*H. Esnault and M. Kerz. Density of Arithmetic Representations of Function Fields. [https://arxiv.org/abs/2005.12819 arXiv:2005.12819]; 05/2020
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* [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], G. C. Thiang. Good Wannier bases in Hilbert modules associated to topological insulators. [https://arxiv.org/abs/1904.13051 arXiv:1904.13051]; J. Math. Phys., 61, 061902, 06/2020.
  
*A. M. Botero and J. I. Burgos Gil. Toroidal b-divisors and Monge-Ampére measures. [https://arxiv.org/abs/2004.14045 arXiv.2004.1405]; 04/2020
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* A. Galateau and [https://cesar-martinez-math.weebly.com C. Martínez]. Homothéties explicites des représentations ℓ-adiques. [https://arxiv.org/abs/2006.07401 arXiv:2006.07401]; 06/2020
 +
 
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* H. Esnault and M. Kerz. Density of Arithmetic Representations of Function Fields. [https://arxiv.org/abs/2005.12819 arXiv:2005.12819]; 05/2020
 +
 
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* S. Boucksom, [http://www.mathematik.uni-regensburg.de/gubler/index.html W. Gubler], F. Martin. Differentiability of relative volumes over an arbitrary non-archimedean field. [https://arxiv.org/abs/2004.03847 arXiv:2004.03847]; 04/2020
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* A. M. Botero and J. I. Burgos Gil. Toroidal b-divisors and Monge-Ampére measures. [https://arxiv.org/abs/2004.14045 arXiv.2004.1405]; 04/2020
  
 
* K. van Woerden. Quantifying Quillen's Uniform Fp-isomorphism Theorem. [https://arxiv.org/abs/1711.10206v2 arXiv:1711.10206v2 math. AT]; 03/2020
 
* K. van Woerden. Quantifying Quillen's Uniform Fp-isomorphism Theorem. [https://arxiv.org/abs/1711.10206v2 arXiv:1711.10206v2 math. AT]; 03/2020
  
* [https://drew-heard.github.io/ D. Heard]. The topological nilpotence degree of a Noetherian unstable algebra. [https://arxiv.org/abs/2003.13267 arXiv:2003.13267]; 03/2020
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*[https://drew-heard.github.io/ D. Heard]. The topological nilpotence degree of a Noetherian unstable algebra. [https://arxiv.org/abs/2003.13267 arXiv:2003.13267]; 03/2020
  
 
* [https://www.fernuni-hagen.de/juniorprofessur-algebra/team/steffen.kionke.shtml S. Kionke], [http://www.mathematik.uni-regensburg.de/loeh C. Löh]. A note on p-adic simplicial volumes, [https://arxiv.org/abs/2003.10756 arXiv:2003.10756 math.GT]; 03/2020
 
* [https://www.fernuni-hagen.de/juniorprofessur-algebra/team/steffen.kionke.shtml S. Kionke], [http://www.mathematik.uni-regensburg.de/loeh C. Löh]. A note on p-adic simplicial volumes, [https://arxiv.org/abs/2003.10756 arXiv:2003.10756 math.GT]; 03/2020
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* T. Barthel, [https://drew-heard.github.io/ D. Heard], N. Castellana, G. Valenzuela. Local Gorenstein duality for cochains on spaces. [https://arxiv.org/abs/2001.02580 arXiv:2001.02580]; 01/2020. Journal of Pure and Applied Algebra, Volume 225, Issue 2, February 2021
 
* T. Barthel, [https://drew-heard.github.io/ D. Heard], N. Castellana, G. Valenzuela. Local Gorenstein duality for cochains on spaces. [https://arxiv.org/abs/2001.02580 arXiv:2001.02580]; 01/2020. Journal of Pure and Applied Algebra, Volume 225, Issue 2, February 2021
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* [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], G. C. Thiang. Cobordism invariance of topological edge-following states. [https://arxiv.org/abs/2001.08339 arXiv:2001.08339]; 01/2020.
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* [https://homepages.uni-regensburg.de/~lum63364/ M. Ludewig], A. Stoffel. A framework for geometric field theories and their classification in dimension one. [https://arxiv.org/abs/2001.05721 arXiv:2001.05721]; 01/2020.
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=== 2019 ===
 
=== 2019 ===
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* [http://people.dm.unipi.it/frigerio/ R. Frigerio], [https://homepages.uni-regensburg.de/~mom33723/ M. Moraschini]. Gromov's theory of multicomplexes with applications to bounded cohomology and simplicial volume, [https://arxiv.org/abs/1808.07307 arXiv:1808.07307 math.GT]; 12/2019; To appear in Memoirs of the American Mathematical Society.
 
* [http://people.dm.unipi.it/frigerio/ R. Frigerio], [https://homepages.uni-regensburg.de/~mom33723/ M. Moraschini]. Gromov's theory of multicomplexes with applications to bounded cohomology and simplicial volume, [https://arxiv.org/abs/1808.07307 arXiv:1808.07307 math.GT]; 12/2019; To appear in Memoirs of the American Mathematical Society.
  
* A. M. Botero, J. I. Burgos Gil and M. Sombra. Convex analysis on polyhrdral spaces. [https://arxiv.org/abs/1911.04821 arXiv:1911.04821]; 11/2019
+
* A. M. Botero, J. I. Burgos Gil and M. Sombra. Convex analysis on polyhedral spaces. [https://arxiv.org/abs/1911.04821 arXiv:1911.04821]; 11/2019
  
 
* [http://homepages.uni-regensburg.de/~key46257/ Y. Kezuka], Y. Li, A classical family of elliptic curves having rank one and the 2-primary part of their Tate-Shafarevich group non-trivial. [https://arxiv.org/abs/1911.04532 arXiv:1911.04532 math.NT]; 11/2019
 
* [http://homepages.uni-regensburg.de/~key46257/ Y. Kezuka], Y. Li, A classical family of elliptic curves having rank one and the 2-primary part of their Tate-Shafarevich group non-trivial. [https://arxiv.org/abs/1911.04532 arXiv:1911.04532 math.NT]; 11/2019
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*M. Lüders, Algebraization for zero-cycles and the p-adic cycle class map, Mathematical Research Letters, [https://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0026/0002/a008/index.php Volume 26] (2019) Number 2, pp. 557-585.
 
*M. Lüders, Algebraization for zero-cycles and the p-adic cycle class map, Mathematical Research Letters, [https://www.intlpress.com/site/pub/pages/journals/items/mrl/content/vols/0026/0002/a008/index.php Volume 26] (2019) Number 2, pp. 557-585.
  
*M. Lüders, A restriction isomorphism for zero cyclces with koefficients in Milnor K-theory, Cambridge Journal of Mathematics, [https://www.intlpress.com/site/pub/pages/journals/items/cjm/content/vols/0007/0001/a001/index.php Volume 7] (2019) Number 1-2, pp. 1-31.
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*M. Lüders, A restriction isomorphism for zero cyclces with coefficients in Milnor K-theory, Cambridge Journal of Mathematics, [https://www.intlpress.com/site/pub/pages/journals/items/cjm/content/vols/0007/0001/a001/index.php Volume 7] (2019) Number 1-2, pp. 1-31.
  
 
* [https://www.uni-regensburg.de/mathematik/mathematik-engel/ A. Engel], Ch. Wulff, R. Zeidler. Slant products on the Higson-Roe exact sequence, [https://arxiv.org/abs/1909.03777 arXiv:1909.03777 math.KT]; 09/2019
 
* [https://www.uni-regensburg.de/mathematik/mathematik-engel/ A. Engel], Ch. Wulff, R. Zeidler. Slant products on the Higson-Roe exact sequence, [https://arxiv.org/abs/1909.03777 arXiv:1909.03777 math.KT]; 09/2019

Revision as of 09:22, 7 May 2021


Topics

Invariants play a dominant role in all of mathematics: Invariants should be fine enough to extract the right information, but coarse enough to be computable in specific cases. Higher invariants are a structural and hierarchical refinement of certain classical invariants. The long term goal of this Collaborative Research Centre is to formulate the principles of construction and computation of higher invariants in a systematic way.

  • Higher Chern classes
  • Volumes, L-functions, and polylogarithms
  • Metric structures on cohomology, vector bundles, and cycles
  • Higher categories and enriched structures

Projects and principal investigators

Publications/Preprints (in reverse chronological order)

2021

  • F. Hanisch, M. Ludewig. A Rigorous Construction of the Supersymmetric Path Integral Associated to a Compact Spin Manifold. arXiv:1709.10027; 03/2021
  • B. Güneysu, M. Ludewig. The Chern Character of theta-summable Fredholm Modules over dg Algebras and Localization on Loop Space. arXiv:1901.04721; 03/2021
  • H. Esnault, M. Kerz. Local systems with quasi-unipotent monodromy at infinity are dense, arXiv:2101.00487; 01/2021

2020

  • B. Ammann, J. Mougel, V. Nistor. A regularity result for the bound states of N-body Schrödinger operators: Blow-ups and Lie manifolds arXiv:2012.13902; 12/2020.
  • J.I. Burgos Gil, S. Goswami, G. Pearlstein. Height Pairing on Higher Cycles and Mixed Hodge Structures, arxiv:2007.06036.
  • S.Balchin, J.P.C. Greenlees, L. Pol, J. Williamson. Torsion model for tensor triangulated categories: the one-step case. arXiv:2011.10413; 11/2020
  • T. Bachmann, A. A. Khan, C. Ravi, V. Sosnilo. Categorical Milnor squares and K-theory of algebraic stacks. arXiv:2011.04355; 11/2020
  • P. Dolce, R. Gualdi, Numerical equivalence of ℝ-divisors and Shioda-Tate formula for arithmetic varieties, arXiv:2010.16134; 10/2020
  • M. Ludewig, Z. Yi, A Short Proof of the Localization Formula for the Loop Space Chern Character of Spin Manifolds, arXiv:2010.05892; 10/2020.
  • B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, M. Land, D. Nardin, T. Nikolaus, W. Steimle. Hermitian K-theory for stable ∞-categories III: Grothendieck-Witt groups of rings arXiv:2009.07225; 09/2020
  • M. Ludewig, G. C. Thiang. Gaplessness of Landau Hamiltonians on hyperbolic half-planes via coarse geometry. arXiv:2009.07688; 09/2020. To appear in Comm. Math. Phys.
  • B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, M. Land, D. Nardin, T. Nikolaus, W. Steimle. Hermitian K-theory for stable ∞-categories II: Cobordism categories and additivity arXiv:2009.07224; 09/2020
  • B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, M. Land, D. Nardin, T. Nikolaus, W. Steimle. Hermitian K-theory for stable ∞-categories I: Foundations arXiv:2009.07223; 09/2020
  • S. Baader, R. Blair, A. Kjuchukova and F. Misev. The bridge number of arborescent links with many twigs. arXiv:2008.00763; 08/2020
  • S. Friedl, T. Kitayama, L. Lewark, M. Nagel and M. Powell. Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials. arXiv:2007.15289; 08/2020
  • M. Ludewig, S. Roos. The Chiral Anomaly of the Free Fermion in Functorial Field Theory. arXiv:2010.05892; Ann. Henri Poincare, 21:1191-1233, 06/2020.
  • M. Ludewig, G. C. Thiang. Good Wannier bases in Hilbert modules associated to topological insulators. arXiv:1904.13051; J. Math. Phys., 61, 061902, 06/2020.
  • H. Esnault and M. Kerz. Density of Arithmetic Representations of Function Fields. arXiv:2005.12819; 05/2020
  • S. Boucksom, W. Gubler, F. Martin. Differentiability of relative volumes over an arbitrary non-archimedean field. arXiv:2004.03847; 04/2020
  • A. M. Botero and J. I. Burgos Gil. Toroidal b-divisors and Monge-Ampére measures. arXiv.2004.1405; 04/2020
  • C. Löh. Ergodic theoretic methods in group homology. A minicourse on L2-Betti numbers in group theory. SpringerBriefs in Mathematics, Springer, DOI 10.1007/978-3-030-44220-0 03/2020.
  • T. Barthel, D. Heard, N. Castellana, G. Valenzuela. Local Gorenstein duality for cochains on spaces. arXiv:2001.02580; 01/2020. Journal of Pure and Applied Algebra, Volume 225, Issue 2, February 2021
  • M. Ludewig, A. Stoffel. A framework for geometric field theories and their classification in dimension one. arXiv:2001.05721; 01/2020.


2019

  • A. M. Botero, J. I. Burgos Gil and M. Sombra. Convex analysis on polyhedral spaces. arXiv:1911.04821; 11/2019
  • Y. Kezuka, Y. Li, A classical family of elliptic curves having rank one and the 2-primary part of their Tate-Shafarevich group non-trivial. arXiv:1911.04532 math.NT; 11/2019
  • A. M. Botero. The Convex-Set Algebra and intersection theory on the Toric Riemann-Zariski Space. arXiv.1909.08262; 09/2019
  • S. Friedl, M. Nagel, P. Orson, M. Powell. A survey of the foundations of four-manifold theory in the topological category. arXiv:1910.07372; 10/2019
  • M. Moraschini, Alessio Savini. A Matsumoto-Mostow result for Zimmer's cocycles of hyperbolic lattices. arXiv:1909.00846; 09/2019 To appear in Transformation Groups.
  • Imre Bokor, Diarmuid Crowley, S. Friedl, Fabian Hebestreit, Daniel Kasprowski, Markus Land, Johnny Nicholson Connected sum decompositions of high-dimensional manifolds. arXiv:1909.02628; 09/2019
  • M. Lüders, Algebraization for zero-cycles and the p-adic cycle class map, Mathematical Research Letters, Volume 26 (2019) Number 2, pp. 557-585.
  • M. Lüders, A restriction isomorphism for zero cyclces with coefficients in Milnor K-theory, Cambridge Journal of Mathematics, Volume 7 (2019) Number 1-2, pp. 1-31.
  • H. Esnault, M. Kerz, Etale cohomology of rank one l-adic local systems in positive characteristic, arxiv:1908.08291; 08/2019
  • Y. Kezuka, On the main conjecture of Iwasawa theory for certain non-cyclotomic ℤp-extensions. arXiv:1711.07554 math.NT; J. Lond. Math. Soc., Vol. 100, pp. 107-136, 8/2019
  • Y. Kezuka, J. Choi, Y. Li, Analogues of Iwasawa's μ=0 conjecture and the weak Leopoldt conjecture for a non-cyclotomic ℤ2-extension. arXiv:1711.01697 math.NT; Asian J. Math., Vol. 23, No. 3, pp. 383-400, 7/2019
  • L. Prader, A local–global principle for surjective polynomial maps, arXiv:1909.11690; Journal of Pure and Applied Algebra 223(6), 06/2019, pp. 2371-2381
  • P. Feller, L. Lewark. Balanced algebraic unknotting, linking forms, and surfaces in three- and four-space. arXiv:1905.08305; 05/2019
  • P. Antonini, A. Buss, A. Engel, T. Siebenand. Strong Novikov conjecture for low degree cohomology and exotic group C*-algebras, arXiv:1905.07730 math.KT; 05/2019
  • T. Barthel, D. Heard, N. Castellana, G. Valenzuela. On stratification for spaces with Noetherian mod p cohomology. arxiv:1904.12841; 04/2019
  • V. Ertl. A new proof of a vanishing result due to Berthelot, Esnault, and Rülling. arXiv:1805.06269 math.NT; 04/2019 to appear in the Journal of Number Theory.

2018

  • E. Elmanto, M. Hoyois, A.A. Khan, V. Sosnilo, M. Yakerson. Framed transfers and motivic fundamental classes. arXiv:1809.10666; 09/2018
  • S. Friedl, JungHwan Park, Bram Petri, Jean Raimbault and Arunima Ray, On distinct finite covers of 3-manifolds. arXiv:1807.09861; 07/2018
  • V. Ertl, K. Yamada. Comparison between rigid syntomic and crystalline syntomic cohomology for strictly semistable log schemes with boundary. arXiv:1805.04974 math.NT; 05/2018.
  • G. Herrmann, Sutured manifolds and L^2-Betti numbers. arxiv:1804.09519; 04/2018
  • J. Sprang, The algebraic de Rham realization of the elliptic polylogarithm via the Poincaré bundle. arXiv:1802.04996; 02/2018
  • Y. Kezuka, On the p-part of the Birch-Swinnerton-Dyer conjecture for elliptic curves with complex multiplication by the ring of integers of ℚ(√-3). arXiv:1605.08245 math.NT; Math. Proc. Camb. Philos. Soc., 164, pp. 67-98, 1/2018

2017

  • F. Hebestreit, M. Land, W. Lück, O. Randal-Williams. A Vanishing theorem for tautological classes of aspherical manifolds. arXiv:1705.06232 math.AT; 05/2017
  • F. Binda, J. Cao, W. Kai and R. Sugiyama, Torsion and divisibility for reciprocity sheaves and 0-cycles with modulus, J. of Algebra, Vol. 469, 1, 2017.

2016

  • N. Otoba; J. Petean, Solutions of the Yamabe equation on harmonic Riemannian submersions, arXiv:1611.06709 math.DG; 11/2016
  • V. Ertl. Full faithfulness for overconvergent F-de Rham-Witt connections. arXiv:1411.7182 math.NT; Comptes rendus - Mathématique vol. 354, no. 7, pp. 653-658, 07/2016.
  • D. Scarponi, Sparsity of p-divisible unramified liftings for subvarieties of abelian varieties with trivial stabilizer. arXiv:1602.08755v3; 02/2016
  • O. Gwilliam, D. Pavlov. Enhancing the filtered derived category. arXiv:1602.01515, accepted by J. Pure Appl. Algebra; 02/2016

2015

  • D. Scarponi, The realization of the degree zero part of the motivic polylogarithm on abelian schemes in Deligne-Beilinson cohomology. arXiv:1512.01997; 12/2015
  • F. Bambozzi, O. Ben-Bassat, K. Kremnizer . Stein Domains in Banach Algebraic Geometry. arxiv:1511.09045 math.AG; 11/2015
  • F. Martin Analytic functions on tubes of non-Archimedean analytic spaces, with an appendix by Christian Kappen arXiv:1510.01178; 10/2015
  • I. Barnea, M. Joachim, S. Mahanta. Model structure on projective systems of C*-algebras and bivariant homology theories. math.KT; 08/2015

2014

  • A. Beilinson, G. Kings, A. Levin. Topological polylogarithms and p-adic interpolation of L-values of totally real fields. arXiv:1410:4741 math.NT; 10/2014