Jakob Scholbach
Professore Asscociato, Dipartimento di Matematica, Università degli Studi di Padova
email: jakob.scholbach@unipd.it
Phone: (+39) 048271419
Mail: Via Trieste 63, 35121 Padova, Italy
Office: 515
Research
I am interested in motives, the Langlands program, special L-values, abstract homotopy theory, and Arakelov theory. The following papers are also available via the arxiv, Orcid, or MathSciNet.- 19. The geometric Satake equivalence for integral motives, joint work with Robert Cass and Thibaud van den Hove
- 18. The motivic Satake equivalence and a question about the Drinfeld lemma, Oberwolfach Reports
- 17. Integral Motivic Sheaves And Geometric Representation Theory, Advances in Mathematics (2023); joint work with Jens Eberhardt
- 16. Constructible sheaves on schemes and a categorical Künneth formula, submitted; joint work with Tamir Hemo and Timo Richarz
- 15. Tate motives on Witt vector affine flag varieties, Selecta Mathematica (2021), Vol. 27, 34 pp., joint work with Timo Richarz
- 14. The motivic Satake equivalence, Mathematische Annalen (2021), 59 pages, joint work with Timo Richarz
- 13. The intersection motive on the moduli stack of shtukas, Forum of Mathematics Sigma (2020), Vol. 8 (e8), pp. 1–99, joint work with Timo Richarz
- 12. Motives and homotopy theory, Habilitation thesis, See the first section for a general audience introduction to many of the papers below.
- 11. Homotopy theory of symmetric powers, Homology, Homotopy and Applications (2018), Vol. 20 (1), pp. 359–397, joint work with Dmitri Pavlov
- 10. Admissibility and rectification of colored symmetric operads, Journal of Topology (2018), Vol. 11, pp. 559–601, joint work with Dmitri Pavlov
- 9. Symmetric operads in abstract symmetric spectra, Journal of the Institute of Mathematics of Jussieu (2018), pp. 1–52, joint work with Dmitri Pavlov
- 8. Arakelov motivic cohomology II, Journal of Algebraic Geometry (2015), Vol. 24, pp. 755–786
- 7. Algebraic K-theory of the infinite place, Journal of Homotopy and Related Structures (2015), Vol. 10 (4), pp. 821–842
- 6. Arakelov motivic cohomology I, Journal of Algebraic Geometry (2015), Vol. 24, pp. 719–754, joint work with Andreas Holmstrom
- 5. Mixed Artin-Tate motives over number rings, Journal of Pure and Applied Algebra (2011), Vol. 215, pp. 2106–2118, published version contains sections 1–4 of the preprint, only
- 4. Special L-values of geometric motives, Asian Journal of Mathematics (2017), Vol. 21 (2) pp. 225–264
- 3. f-cohomology and motives over number rings, Kodai Mathematical Journal (2012), Vol. 35, pp. 1–32
- 2. Special L-values of motives, PhD Thesis, Advisor: Annette Huber, Universität Freiburg
- 1. Geometric motives and the h-topology, Mathematische Zeitschrift (2012), Vol. 272, pp. 956–986, Corrigendum
Teaching
Office hours: anytime via zoom, please email me- Category theory (WS 2021/22)
- Komplexe Zahlen, Quaternionen und andere Zahlenbereiche (Algebra für Lehramtsstudierende, WS 2020/21)
- Algebraische Topologie für Lehramtsstudierende (SS 2020)
- Darstellungstheorie endlicher Gruppen (WS 2018/19)
- Riemannsche Flächen (WS 2017/18)