Preprints

1. Homology manifolds via six functor formalisms. Joint with M. Volpe. arXiv
2. Grothendieck-Witt theory of derived schemes. Joint with M. Hoyois. arXiv
3. Formality of E_n-algebras and cochains of spheres. Joint with G. Heuts. arXiv
4. Homology manifolds and euclidean bundles. Joint with F. Hebestreit, C. Winges, and M. Weiss. arXiv
5. A survey on operator K-theory via homotopical algebra. Joint with U. Bunke and U. Pennig. arXiv
6. Remarks on chromatically localised hermitian K-theory. arXiv
7. A stable \infty-category for equivariant KK-theory. arXiv

Publications

1. Towards the classification of DGAs with polynomial homology. Accepted for publication at Compositio Mathematica. Joint with H. Ö. Bayındır. arXiv
2. Paschke duality and assembly maps. Accepted for publication at New York Journal of Mathematics. Joint with U. Bunke and A. Engel. arXiv
3. On the K-theory of pushouts. J. Eur. Math. Soc. (JEMS) 2026, published online first. Joint with G. Tamme. arXiv
4. Hermitian K-theory for stable \infty-categories III: Grothendieck--Witt groups of rings. Accepted for publication at Ann. of. Math. Joint with B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, D. Nardin, T. Nikolaus, and W. Steimle. arXiv
5. Hermitian K-theory for stable infinity-categories II: Cobordism categories and additivity. Acta Math. 235 (2025), no. 2, 149--400. Joint with B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, D. Nardin, T. Nikolaus, and W. Steimle. arXiv
6. Purity in chromatically localized algebraic K-theory. J. Amer. Math. Soc. 37 (2024) no.4, 1011--1040. Joint with A. Mathew, L. Meier, and G. Tamme. arXiv
7. L-theory of C*-algebras. Proc. London Math. Soc. (3) 127 (2023) no. 5, 1451--1506. Joint with T. Nikolaus and M. Schlichting. arXiv
8. Gabber rigidity in hermitian K-theory. Proceedings of the Royal Society of Edinburgh Section A: Mathematics (Ranicki memorial issue). arXiv
9. Hermitian K-theory for stable infinity-categories I: Foundations. Selecta Mathematica, Volume 29, Issue 1 (2023). Joint with B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, K. Moi, D. Nardin, T. Nikolaus, and W. Steimle. arXiv
10. Reducibility of low dimensional Poincaré duality spaces. Münster J. of Math. 15 (2022) 47--81. arXiv
11. Topological 4-manifolds with 4-dimensional fundamental group. Glasgow Math. J. 64, (2022), no. 2, 454--461. Joint with D. Kasprowski. arXiv
12. Topologically flat embedded 2-spheres in specific simply connected 4-manifolds. 2019--20 MATRIX annals, 111-116, MATRIX Book Ser., 4, Springer, Cham, 2021. Joint with D. Kasprowski, P. Lambert-Cole and A. G. Lecuona. arXiv
13. Connected sum decompositions of high-dimensional manifolds. 2019--20 MATRIX annals, 5-30, MATRIX Book Ser., 4, Springer, Cham, 2021. Joint with I. Bokor, D. Crowley, S. Friedl, F. Hebestreit, D. Kasprowski, and J. Nicholson. arXiv
14. On the homotopy type of L-spectra of the integers. J. Topol. 14, (2021), no. 1, 183--214. Joint with F. Hebestreit and T. Nikolaus. arXiv The published version contains an erroneous (but for the paper irrelevant) remark in the appendix. You can find a corrected version of said remark here.
15. A Vanishing theorem for tautological classes of aspherical manifolds. Geometry & Topology 25-1 (2021), 47--110. Joint with F. Hebestreit, W. Lück and O. Randal-Williams. arXiv
16. On the K-theory of pullbacks. Ann. of Math. (2) 190 (2019), no. 3, 877--930. Joint with G. Tamme. arXiv
17. On the relation between K- and L-theory of C*-algebras. Math. Ann. 371 (2018), no. 1-2, 517--563. Joint with T. Nikolaus. arXiv
18. Localization of Cofibration categories and groupoid C*-algebras. Algebr. Geom. Topol. 17 (2017), no. 5, 3007--3020. Joint with T. Nikolaus and K. Szumiło.
19. Stable Classification of 4-manifolds with 3-manifold fundamental group. J. Topol. 10, (2017), no. 3, 827--881. arXiv
20. The Analytical Assembly map and Index theory. J. Noncommut. Geom. 9 (2015), no. 2, 603--619. arXiv

 

Book

1.  Introduction to Infinity-categories. Compact Textbooks in mathematics, Birkhäuser, Cham, 2021. Springer

 

Research Seminars

• Seminar on K-theory
• Algebraic Geometry and Algebraic Topology Colloquium

Current postdocs and students

Postdocs

• Dominik Kirstein
  Office 04-227
• Jordan Levin (starting October 2026)
  Office 04-231
• João Lobo Fernandes (starting October 2026)
  Office 04-231

 

PhD Students

• Marcus Nicolas (joint supervision with Baptiste Calmès)
  Office 04-227

 

Former postdocs and students

• Anton Zakrewski (Bachelor, 2026)
• Gustav Berth (Master, 2026)
  Now PhD Student at University of Oslo with Achim Krause
• Leon Schropp (Master, 2026)
• Lara Mai (Bachelor, 2025)
• Ole Hesse (Master, 2025)
  Now PhD student at University of Copenhagen with Ryomei Iwasa.
• Haldun Özgür Bayındır (Postdoc, 09/24--03/25)
  Now Beatriu de Pinós fellow at University of Barcelona
• Gustav Berth (Bachelor, 2024)
• Maxime Ramzi (PhD, 2024)
  Supervision at Copenhagen University, joint with J. Grodal. Now Postdoc at University of Münster
• Mats Hansen (Master, 2024)
  Now PhD student at UPenn.
• Philippe Vollmuth (Master, 2024)
  Now PhD student at University of Copenhagen with Robert Burklund and Jesper Grodal.
• Fabian Fleischer (Master, 2024)
  Now working for d-fine.
• Leon Schropp (Bachelor, 2023)
• Emma Brink (Master, 2023)
  Now PhD student at University of Bonn with Stefan Schwede.
• Kaif Hilman (PhD, 2022)
  Supervision at Copenhagen University, joint with J. Grodal. Now Postdoc at MPIM Bonn.

 

Research / Publications

 

Homepage / further information

 

 

 

 

 

please click here

 

Das Festkolloquium anlässlich des 60. Geburtstags von Prof. Duco van Straten
The Celebration of Prof. Duco van Straten's 60th Birthday

findet am Donnerstag, den 31.01.2019 um 14 Uhr
will take place on Thursday, 31st of January at 2 pm

am Institut für Mathematik im Raum 05-415 (5. Stock) statt.
on the 5th Floor of the Mathematics Institute in Room 05-514.

Die Bewirtung findet im Hilbertraum 05-432 statt.
Beverages and the Coffee Break will be served in the Hilbertroom 05-432.

 

Zeitplan und Sprecher
Schedule and Speekers

Uhrzeit	Vortrag	Sprecher
14:00	Begrüßung
14:15	Vortrag 1	David Mond Fitting ideals and multiple points of mappings: questions and conjectures
15:00-	Pause im Hilbertraum (05-432)
16:00	Vortrag 2	Klaus Altmann Three kinds of differences among polytopes and their toric interpretation
17:00	Vortrag 3	Philip Candelas Periods, zeta-functions and N=2 supersymmetric black holes
18:00	Ausklang bei einem Glas Sekt im Hilbertraum (05-432)

 

Die Veranstaltung findet im Rahmen des Institutskolloquiums statt (https://www.mathematik.uni-mainz.de/institutskolloquium-wintersemester-2018-19/).

 

 

Information how to get here:

click here for the campus map

public Transport:

You can purchase your ticket with the Driver.
The city of Mainz has a main station and a number of other rail stations. Please check the Deutsche Bahn website for train timetables

or for public transport the MVG

The following lines serve the university stop Friedrich-von-Pfeiffer-Weg from the main station (Hbf=Hauptbahnhof) and Hbf West / Taubertsbergbad (IC Hotel):

• 51 (towards Lerchenberg)
• 53 (towards Lerchenberg)
• 54 (towards Klein-Winternheim)
• 55 (towards Finthen)
• 56 (towards Finthen/Wackernheim)
• 59 (towards Hochschule Mainz)
• 75 (towards Schwabenheim/Ingelheim)
• 650 (towards Sprendlingen)

We would recommend using the tram lines 51, 53, and 59,  or Bus No. 55 and 56

From the stop, walk over the pedestrian bridge to the university campus and follow the street to the right. After about 100 meters there is a left curve. After passing the Mensa (campus cafeteria) you see the Mathematics building right in front of you. (The walk is about 10 minutes.)

Streetmap

Please get off one stop after Universität, at Friedrich-von-Pfeiffer-Weg
map surroundings bus stop Friedrich-von-Pfeiffer-Weg (Uni, Math.Inst.)  

or Streetmap 

From the stop, walk over the pedestrian bridge to the university campus and follow the street to the right. After about 100 meters there is a left curve. After passing the Mensa (campus cafeteria) you see the Mathematics building right in front of you. (The walk is about 10 minutes.)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Herzlichen Dank an Alexander Aycock für die Übersetzungen ins Englische.

 

Carl Friedrich Gauss

Hypergeometrische Reihe -Teil 1 - On the infinite Series - Part One

Hypergeometrische Reihe -Teil 2  - On the infinite Series - Part Two

 

Ernst Eduard Kummer

On certain definite integrals and infinite series

On definite integrals and infinite series

 

 

 

Workshop "Calabi-Yau Motives" - 28.-30.01.2019

The workshop will take place in the Hilbert Room 05-432 (on the 5th floor)
of the Institute of Mathmatics (Institut für Mathematik) in Building 2413,
Staudinger Weg 9, 55128 Mainz, Germany.

Organisation: Duco van Straten and Valily Golyshev

Introduction

Timetable 

List of Participants

Poster

 

List of Speakers:

Bloch, Spencer (University of Chicago)
Periods associated to limiting mixed Hodge structures at MUM Points (Abstract)

Brown, Francis (All Souls College Oxford)

Corti, Alessio (Imperial College London)
What Laurent polynomials are mirror to Fano manifolds? a status report

Cynk, Slawomir
Hilbert modular double octic Calabi-Yau 3-fold (Abstract)

Gritsenko, Valery (Université de Lille)
Infinite series of anti-symmetric paramodular forms of weight 3 (Abstract)

Lairez, Pierre (ICTP Trieste)
Numerical periods in effective algebraic geometry (Abstract)

Neil Dummigan (University of Sheffield)
Moduli of congruences appearing in L-values (Abstract)

Poor, Chris (Fordham University)
Paramodular forms of weight three (Slides Definitions)
Paramodular forms of weight three (Handout)
(joint work with Jerry Shurman: Reed College Portland, OR and David S. Yuen: Univeristy of Hawaii)

Rainer Weissauer (Universität Heidelberg)
Eichler-Shimura Theory for Siegel modular varieties (Abstract)

Tornaria, Gonzalo (Universidad de la República Uruguay) - via skype 
Paramodular forms as orthogonal modular forms A computational Approach (Abstract)
Paramodular forms as orthogonal modular forms. A computational Approach (Slides)
fParamodular forms as orthogonal modular forms. A computational Approach (Handout)

Yui, Noriko (Queen’s University)
Four-dimensional Galois representations arising from certain Calabi–Yau threefolds (Abstract)

 

 

 

 

 

Information how to get here:

click here for the campus map

public Transport:

You can purchase your ticket with the Driver.
The city of Mainz has a main station and a number of other rail stations. Please check the Deutsche Bahn website for train timetables

or for public transport the MVG

The following lines serve the university stop Friedrich-von-Pfeiffer-Weg from the main station (Hbf=Hauptbahnhof) and Hbf West / Taubertsbergbad (IC Hotel):

• 51 (towards Lerchenberg)
• 53 (towards Lerchenberg)
• 54 (towards Klein-Winternheim)
• 55 (towards Finthen)
• 56 (towards Finthen/Wackernheim)
• 59 (towards Hochschule Mainz)
• 75 (towards Schwabenheim/Ingelheim)
• 650 (towards Sprendlingen)

We would recommend using the tram lines 51, 53, and 59,  or Bus No. 55 and 56

From the stop, walk over the pedestrian bridge to the university campus and follow the street to the right. After about 100 meters there is a left curve. After passing the Mensa (campus cafeteria) you see the Mathematics building right in front of you. (The walk is about 10 minutes.)

Streetmap

Please get off one stop after Universität, at Friedrich-von-Pfeiffer-Weg
map surroundings bus stop Friedrich-von-Pfeiffer-Weg (Uni, Math.Inst.)  

or Streetmap 

From the stop, walk over the pedestrian bridge to the university campus and follow the street to the right. After about 100 meters there is a left curve. After passing the Mensa (campus cafeteria) you see the Mathematics building right in front of you. (The walk is about 10 minutes.)

 

 

 

 

 

 

Herzlichen Dank an Alexander Aycock für die Übersetzungen.

Johnann Hudde

Hudde Epistola 2 - Maxima et Minima