My research interests lie in the areas of Algebraic Geometry, Arithmetic Geometry and Homotopy Theory.
In particular I am interested in Algebraic K-Theory, Motivic Homotopy Theory and Derived Algebraic Geometry.

• A Bloch-Ogus Theorem for henselian local rings in mixed characteristic
  (with J. Schmidt), (2019) (arXiv).
• Towards Vorst's conjecture in positive characteristic (with M. Kerz and G. Tamme), (2018) (arXiv),
  accepted for publication in Compos. Math.
• Model topoi and motivic homotopy theory (with G. Raptis), (arXiv),
  Doc. Math. 23 (2018), 1757-1797 (DOI).
• Algebraic K-theory and descent for blow-ups (with M. Kerz and G. Tamme), (arXiv),
  Invent. Math 211 (2018), no. 2, 523-577 (DOI).
• Stable A1-connectivity over Dedekind schemes (with J. Schmidt), (arXiv),
  Ann. K-Theory 3 (2018), no. 2, 331-367 (DOI).
• On the vanishing of negative homotopy K-theory (with M. Kerz), (arXiv),
  J. Pure Appl. Algebra 221 (7) (2017) 1641-1644 (DOI).
• Motivic spherical bundles. Dissertation.
• Two upper bounds for the Erdős-Szekeres Number with conditions,
  Discrete Comput. Geom. 49 (2013), no. 2, 183-188 (DOI).
• Enriched simplicial presheaves and the motivic homotopy category (with P. Herrmann), (arXiv),
  J. Pure Appl. Algebra 215 (7) (2011) 1663-1668 (DOI).

• Algebraische Geometrie I (WS 21/22)
• Mathematische und statistische Methoden für Pharmazeuten (SoSe 20)
• Mathematische und statistische Methoden für Pharmazeuten (SoSe 19)
• An introduction to A1-homotopy theory (WS 18/19)
• Algebraische Geometrie II (SoSe 18)
• Algebraische Geometrie I (WS 17/18)

• An introduction to Algebraic K-Theory (WS 21/22)
• Examenskurs Algebra und Zahlentheorie (WS 20/21)
• Examenskurs Algebra und Zahlentheorie (WS 19/20)
• Mathematical Literacy: Cryptocurrencies (SoSe 19)
• Graphen- und Berechenbarkeitstheorie (SoSe 19)
• Elementargeometrie (LR) (WS 18/19)
• Algebraic De Rham Cohomology (WS 16/17)
• Gröbnerbasen und Regularität (WS 16/17)
• Das BUCH der Beweise (WS 16/17)
• Projektive Geometrie (SoSe 16)
• Darstellungstheorie endlicher Gruppen (WS 15/16)
• Cdh-descent for homotopy algebraic K-theory (SoSe 15)
• Einführung in die Algebraische K-Theorie (SoSe 15)
• Graphen- und Berechenbarkeitstheorie (WS 14/15)
• Summen von Quadraten und K-Theorie (WS 13/14)

• Kommutative Algebra (SoSe 21)
• Lineare Algebra I (SoSe 21)
• Algebra (WS 20/21)
• Lineare Algebra II (SoSe 20)
• Lineare Algebra I (WS 19/20)
• Wahrscheinlichkeitstheorie und Statistik (SoSe 16)
• Kommutative Algebra (SoSe 15)
• Algebra (WS 14/15)
• Lineare Algebra II (SoSe 14)
• Lineare Algebra I (WS 13/14)
• Analysis II (SoSe 13)
• Geometrie (Lehramt) (SoSe 13)
• Diskrete Mathematik (BEU) (WS 12/13)
• Algebra (BEU) (WS 12/13)
• Grundkurs Mathematik II (SoSe 12)
• Topologie I (WS 11/12)
• Mathematik für Anwender II (SoSe 11)
• Mathematik für Anwender I (WS 10/11)
• Einführung in die Algebra (SoSe 10)
• Körper und Galoistheorie (WS 09/10)
• Elemente der Stochastik (SoSe 09)
• Mathematik für Chemiker II (SoSe 08)
• Mathematik für Chemiker I (WS 07/08)
• Algebraische Topologie (WS 07/08)
• Topologie I (SoSe 07)
• Lineare Algebra I (WS 06/07)
• Analysis I/A (WS 05/06)