Felix Janda

Postdoc at University of Michigan (Host: Yongbin Ruan)
From Fall 2019: Member at the IAS in Princeton
CV
PhD thesis (under R. Pandharipande at ETH Zürich)
ORCID

Contact information

Felix Janda
Department of Mathematics
University of Michigan
530 Church Street
Ann Arbor, MI 48109
USA

Email: janda@umich.edu
Office: 1833
Winter 2019 Office hours: By appointment

Activities

Feb 2019: FRG Workshop on strata of abelian differentials and related topics
Jan 2019: Workshop on Modular structures in Gromov-Witten theory and related topics
June 2017: RTG/FRG Mirror Symmetry Conference for Young Researchers
April 2017: FRG Special Lecture and Workshop
Jan 2017: RTG Workshop on Witten's r-spin class and related topics

Research

My general research area is moduli spaces in algebraic geometry. I study aspects of the intersection theory of various Gromov-Witten type moduli spaces. During my PhD, my main focus has been on the study of tautological classes on the moduli space of curves.

Publications/Preprints

All my articles are available on the arXiv.
"Structure of Higher Genus Gromov-Witten invariants of Quintic 3-folds" (with Shuai Guo and Yongbin Ruan) , arXiv:1812.11908
"Double ramification cycles with target varieties" (with Rahul Pandharipande, Aaron Pixton and Dimitri Zvonkine) , arXiv:1812.10136
"Towards a Theory of Logarithmic GLSM Moduli Spaces" (with Qile Chen, Yongbin Ruan and Adrien Sauvaget) submitted, arXiv:1805.02304
"A mirror theorem for genus two Gromov-Witten invariants of quintic threefolds" (with Shuai Guo and Yongbin Ruan) submitted, arXiv:1709.07392
"Higher-genus wall-crossing in the gauged linear sigma model" (with Emily Clader and Yongbin Ruan) submitted, arXiv:1706.05038
"Higher-genus quasimap wall-crossing via localization" (with Emily Clader and Yongbin Ruan) submitted, arXiv:1702.03427
"Appendix on the class of the locus of holomorphic differentials" (with Rahul Pandharipande, Aaron Pixton and Dimitri Zvonkine) in "Tautological relations via r-spin structures" by Rahul Pandharipande, Aaron Pixton and Dimitri Zvonkine to appear in Journal of Algebraic Geometry, arXiv:1607.00978
"Powers of the theta divisor and relations in the tautological ring" (with Emily Clader, Samuel Grushevsky and Dmitry Zakharov) in "International Mathematics Research Notices" Volume 2018 Issue 24, 12 December 2018, Pages 7725--7754, arXiv:1605.05425
"Double ramification cycles on the moduli space of curves" (with Rahul Pandharipande, Aaron Pixton and Dimitri Zvonkine) in "Publications de l'IHES" 125 (2017), 221--266, arXiv:1602.04705
"Pixton's double ramification cycle relations" (with Emily Clader) "Geometry and Topology" 22-2 (2018), 1069--1108, arXiv:1601.02871
"Relations on $\overline M_{g,n}$ via equivariant Gromov-Witten theory of $\mathbb P^1$" in "Algebraic Geometry" (Foundation Compositio Mathematica) Volume 4, Issue 3 (May 2017), 311--336, arXiv:1509.08421
"Appendix: The weighted fundamental class of $\widetilde{\mathcal H}_g(\mu)$" (with Rahul Pandharipande, Aaron Pixton and Dimitir Zvonkine) in "The moduli space of twisted canonical divisors" by Gavril Farkas and Rahul Pandharipande in "Journal of the Institute of Mathematics of Jussieu" Volume 17, Issue 3 (June 2019), 615--672, arXiv:1508.07940
"Frobenius Manifolds near the Discriminant and Relations in the Tautological Ring" part of thesis, in "Letters in Mathematical Physics" 108(7), 1649--1675, arXiv:1505.03419
"The hypergeometric functions of the Faber-Zagier and Pixton relations" (with Alexandr Buryak and Rahul Pandharipande) in Pure and Applied Mathematics Quarterly Volume 11 (2015), Number 4 (Special volume dedicated to Prof. Eduard Looijenga), 591--631, arXiv:1502.05150
"Comparing tautological relations from the equivariant Gromov-Witten theory of projective spaces and spin structures" part of thesis, not submitted, arXiv:1407.4778
"Gromov-Witten theory of target curves and the tautological ring" in Michigan Mathematical Journal, Volume 66, Issue 4 (2017), (683--698), arXiv:1308.6182
"Tautological relations in moduli spaces of weighted pointed curves" part of thesis, not submitted, arXiv:1306.6580
"Socle pairings on tautological rings" (with Aaron Pixton) accepted at Epiga, arXiv:1304.0026
"Gaussian rational points on a singular cubic surface" (with Ulrich Derenthal) in "Torsors, étale homotopy and applications to rational points", LMS Lecture Notes 405, Cambridge University Press, Cambridge, 2013, pp. 210-231, arXiv:1105.2807