Profile
Key facts
My name is Ben Anthes and I used to be a mathematician in algebraic geometry at the Philipps University Marburg in the group of Sönke Rollenske.Office
H|4, 06D03 (directions)Phone
+49 (0) 6421 28 25496Mathematical interests and education
Major
The main focus of my research is motivated by the theory of moduli of varieties of general type. In my thesis, supervised by Sönke Rollenske at the Philipps University Marburg, I analysed a stratification of the moduli space of Gorenstein stable surfaces $X$ satisfying $K_X^2 = 2$ and $\chi(\mathcal{O}_X) = 4$. It can be obtained for free from the university's publication server here.Undergraduate theses
I've written my Bachelor's and Master's theses at the Johannes Gutenberg University Mainz, Germany, under the supervision of Manfred Lehn. The Master's thesis investigates (sheaves) of Clifford algebras associated with degenerate quadratic modules, led by the question when they are Azumaya. The Bachelor's thesis generalises an important formula in local Kähler geometry, due to Weil, thereby relating it with the canonical $\mathfrak{sl}_2$-representation. See this pdf for an english summary.Further/Minor interests
- Deformation limits of projective varieties internal to complex analytic or algebraic spaces.
- Connections between algebraic geometry and homological algebra, representation-, or invariant theory; birational invariants through derived categories; Azumaya algebras and Brauer-Severi schemes...
- Holomorphic symplectic varieties; Lagrangian fibrations thereof.
- Categorical homotopy theory, homotopical algebra, derived methods in algebraic geometry.
Publications
- Ben Anthes, Andrea Cattaneo, Sönke Rollenske and Adriano Tomassini: $\partial\overline{\partial}$-complex symplectic and Calabi-Yau manifolds: Albanese map, deformations and period maps, Annals of Global Analysis and Geometry Volume 54, Issue 3, October 2018 p. 377-398, Springer 'Online First', DOI 10.1007/s10455-018-9607-3 (arXiv:1711.05107)
- Ben Anthes: Gorenstein stable surfaces satisfying $K_X^2 = 2$ and $\chi(\mathcal O_X) = 4$, Dissertation, Philipps-University Marburg, 2018, DOI 10.17192/z2019.0050
- Ben Anthes: Gorenstein stable surfaces with $K_X^2 = 2$ and $\chi(\mathcal O_X) = 4$, Annali SNS di Pisa Vol. XXI, issue special (pp. 1137-1186), DOI 10.2422/2036-2145.201812_006 (also see arXiv:1904.12307 and the gitlab repository for Macaulay2 code)
Contact
Contact instructions
To contact me, please send an e-mail to my e-mail address; click here. If this link doesn't work, please just prefix my last name to @mathematik.uni‑marburg.de. You might also send mail to the institutional address.Address
Ben AnthesFB 12 Mathematik und Informatik
Philipps-Universität Marburg
Hans-Meerwein-Str. 6
D-35032 Marburg
Privacy Policy
The privacy policy of the main website http://uni-marburg.de applies; it can be found here: https://www.uni-marburg.de/en/privacy. The content of this site www.mathematik.uni-marburg.de/~anthes is provided by me, Ben Anthes. I am not collecting any data and I have no control over or access to the data collected by the operators of the main site.
If you have any questions concerning the applied privacy policy, please contact the university's Data Protection Officer as indicated on https://www.uni-marburg.de/en/privacy.