George Raptis


Home Research Teaching



Preprints

24. Higher homotopy categories, higher derivators, and K-theory


    arXiv (2019). Submitted.

23. Dévissage for Waldhausen K-theory


    arXiv (2018). Submitted.





Miscellaneous Writings


• Seminar Notes Topics in Higher Category Theory

(2019/20).

• A proof of the Gillet-Waldhausen theorem

(2018). [pdf]

• A remark on the Strøm model category

(2018). [pdf]

• Seminar notes on ∞ -topoi

(2017). [pdf]

• Notes on combinatorial model categories

. [pdf]

• When is a derivator representable?

(2014). [pdf]




Talks (Slides)


• Higher homotopy categories and K-theory

[Slides]
  Algebraic Topology Seminar, University of Warwick, June 2020.





Organization of Conferences

• WORKSHOP Derivators
Regensburg, 9-12 April, 2019, with D.-C. Cisinski

• Bavarian Geometry & Topology Meeting III
Regensburg, July 11-12, 2018, with M. Land

• Homotopy Theory Workshop
Regensburg, 5 May 2018, with J. Noel

• Bavarian Geometry & Topology Meeting I
Regensburg, 23 June 2017, with W. Steimle

• WINTER SCHOOL: Bordism, L-theory and real algebraic K-theory
December 5-9, 2016, Kastell Windsor (outside of Regensburg)
with U. Bunke, M. Land and N. Naumann

• SUMMER SCHOOL: Algebraic K-theory and Trace Methods
Regensburg, August 3-7, 2015, with J. Noel

Publications

22. On transfer maps in the algebraic K-theory of spaces


     Math. Z. (2020) [published](open access), [arXiv].

21. Topological manifold bundles and the A-theory assembly map

with W. Steimle
     Proc. Amer. Math. Soc. 148 (2020), 3787-3799. [arXiv]

20. On the h-cobordism category. I

with W. Steimle
     Int. Math. Res. Not. (2019), rnz329, [published], [arXiv].

19. Adjoint functor theorems for ∞-categories

with H. K. Nguyen and C. Schrade
    J. London Math. Soc. 101 (2020), no. 2, 659-681. [arXiv]

18. Some characterizations of acyclic maps


    J. Homotopy Relat. Struct. 14 (2019), no.3, 773-785 [arXiv] [final version]

17. A cobordism model for Waldhausen K-theory

with W. Steimle
    J. London Math. Soc. 99 (2019), no. 2, 516-534. [arXiv]

16. Model topoi and motivic homotopy theory

with F. Strunk
    Doc. Math. 23 (2018), 1757-1797. [arXiv]

15. A remark on configuration spaces of two points

with P. Salvatore
    Proc. Edinburgh Math. Soc. 61 (2018), no. 2, 599-605. [arXiv]

14. Small presentations of model categories and Vopěnka's principle

with J. Rosický
    Homology, Homotopy, Appl. 20 (2018), no. 1, 303-328. [arXiv]

13. The realization space of an unstable coalgebra

with G. Biedermann and M. Stelzer
    Astérisque 393 (2017). [arXiv]

12. Parametrized cobordism categories and the Dwyer-Weiss-Williams index theorem

with W. Steimle
    J. Topol. 10 (2017), no. 3, 700-719. [arXiv]

11. On Serre microfibrations and a lemma of M. Weiss


    Glasg. Math. J. 59 (2017), no. 3, 649-657. [pdf]

10. K -theory of derivators revisited

with F. Muro
    Annals of K-theory 2 (2017), no. 2, 303-340. [arXiv]

9. The accessibility rank of weak equivalences

with J. Rosický
    Theory Appl. Categ. 30 (2015), no. 19, 687-703. [arXiv]

8. On the map of Bökstedt-Madsen from the cobordism category to A-theory

with W. Steimle
    Algebr. Geom. Topol. 14 (2014), no. 1, 299-347. [arXiv]

7. On the homotopy type of certain cobordism categories of surfaces


    Int. Math. Res. Not. 8 (2014), 2037-2089. [arXiv]

6. Simplicial presheaves of coalgebras


    Algebr. Geom. Topol. 13 (2013), 1967-2000. [arXiv]

5. A note on K-theory and triangulated derivators

with F. Muro
    Adv. Math. 227 (2011), no. 5, 1827-1845. [arXiv]

4. Some remarks on configuration spaces


    Proc. Amer. Math. Soc. 139 (2011), no. 5, 1879-1887.

3. Homotopy theory of posets


    Homology, Homotopy Appl. 12 (2010), no. 2, 211-230.

2. On a conjecture by J.H. Smith


    Theory Appl. Categ. Vol. 24 (2010), no. 5, 114-116.

1. On the cofibrant generation of model categories


    J. Homotopy Relat. Struct. 4 (2009), no. 1, 245-253. [arXiv]
    For an Erratum see here.