Helge Ruddat
I started my Emmy Noether Junior Research Group Leadership in June 2015 at the Institute of Mathematics in Mainz associated with the chair for Algebraic Geometry Duco van Straten. I am substituting the chair for complex geometry at Uni Hamburg from Sep 2018Aug 2019 Institut für Mathematik Raum 04221 JGU Mainz Staudingerweg 9 D55128 Mainz Tel. +4961313923606 ruddat ät unimainz.de 

Papers
 Tropical quantum field theory, mirror polyvector fields, and multiplicities of tropical curves, preprint: arxiv:1902.07183 (with Travis Mandel)
 Local uniqueness of approximations and finite determinacy of log morphisms, preprint: arxiv:1812.02195
 The degeneration formula for stable log maps, preprint: arxiv:1803.04210 (with Bumsig Kim, Hyenho Lho)
 Local GromovWitten Invariants are Log Invariants, preprint: arxiv:1712.05210 (with Michel van Garrel, Tom Graber)
 Descendant log GromovWitten invariants for toric varieties and tropical curves, preprint: arxiv:1612.02402 (with Travis Mandel)
 Motivic Zeta Functions of the Quartic and its Mirror Dual, Proceedings of Symposia in Pure Mathematics 93, "CalabiYau Manifolds and their Moduli; and Quantum Curves and Quantum Knot Invariants", ed. Bouchard, Doran, MéndezDiez, and Quigley, StringMath 2014, p. 204215 (with Johannes Nicaise, Peter Overholser)
 Canonical Coordinates in Toric Degenerations, preprint: arxiv:1409.4750 (with Bernd Siebert)
 An Introduction to Hodge Structures, in "CalabiYau Varieties: Arithmetic, Geometry and Physics: Lecture Notes on Concentrated Graduate Courses", Fields Institute Monographs 34, ed. Laza, Schütt, Yui, p. 83130; arXiv:1412.8499v2 , (with Sara Filippini, Alan Thompson)
 Enumerative aspects of the GrossSiebert program, in "CalabiYau Varieties: Arithmetic, Geometry and Physics: Lecture Notes on Concentrated Graduate Courses", Fields Institute Monographs 34, ed. Laza, Schütt, Yui, p. 337420; arXiv:1410.4783, (with Peter Overholser, Michel van Garrel)
 Perverse Curves and Mirror Symmetry, J. Algebraic Geom. 26 (2017), p. 1742; preprint: arxiv:1309.1803
 Skeleta of Affine Hypersurfaces, Geometry & Topology 18(3) (2014), p. 1343–1395; preprint: arXiv:1211.5263 (with Nicolò Sibilla, David Treumann, Eric Zaslow)
 Mirror Duality of LandauGinzburg models via Discrete Legrende Transforms, in "Homological Mirror Symmetry and Tropical Geometry", Lecture Notes of the Unione Matematica Italiana, Vol. 15 (2014), p. 377406; preprint: arXiv:1204.5611
 Towards Mirror Symmetry for Varieties of General Type, Advances in Mathematics 308 (2017), p. 208–275, preprint: arXiv:1202.4042 (with Mark Gross, Ludmil Katzarkov)
 Log Hodge groups on a toric CalabiYau degeneration, in "Mirror Symmetry and Tropical Geometry", Contemporary Mathematics 527 (2010), Amer. Math. Soc., Providence, RI, p. 113164. preprint paper1.ps preprint paper1.pdf (full dissertation: Freidok ALU Freiburg)
 Partielle Auflösung eines torischen logCalabiYauRaumes (German), Diplom thesis, ALU Freiburg, 2005, thesis
Posters
 "CalabiYau Degenerations and Related Geometries", presentation of my Emmy Noether research to a general science audience, presented on July 16, 2015 at the Emmy Noether annual meeting in Potsdam
Service
 "Logarithmic Enumerative Geometry and Mirror Symmetry", MFO Workshop Organizer, Jun 1622, 2019, Oberwolfach
 Spring School: Enumerative Invariants from Differential Graded Lie Algebras and Categories, Mar 2531, 2018, Tuscany, Italy
 Emmy Noether Kolloquium, I am organizing this colloquium in Mainz funded by my Emmy grant
 Intensive Course on Intersection Theory, Jul 2628, 2016, I organized this course in Mainz funded by my Emmy grant
 Irregular Hodge Structures and Stability Conditions, I am coorganizing this school in Mainz that is going to take place Feb 29Mar 4, 2016
 "Hodge theoretic aspects of mirror symmetry", A workshop I coorganized in 2012
Teaching
 winter 2018/19: Das Buch der Beweise, Seminar fürs Lehramt, Univ. Hamburg
 winter 2018/19: Advanced Algebraic Geometry, MSc Vorlesung 4+2, Univ. Hamburg
 summer 2017: Elementare Algebraische Geometrie, Seminar
 summer 2016: Enumerative Geometrie (in German), MSc Seminar
 winter 2015/16: Birational Geometry of Degenerations (in German), MSc Seminar
 winter 2014/15: Algebraische Geometrie II
 summer 2014: Algebraische Geometrie I
 summer 2012: Geometrie, Algebra und Zahlentheorie (Übungen betreut und unterrichtet)
 winter 2012/13: Riemannsche Flächen und Algebraische Kurven (Übungen betreut und unterrichtet)
 summer 2011: Geometrie, Algebra und Zahlentheorie (Übungen betreut und unterrichtet)
Invited Talks
 2019
 "Tropical Geometry: new directions", MFO, Oberwolfach, Apr 28  May 4
 "From tropical 1cycles to period integrals and analyticity of smoothings", AMS Spring Central and Western Joint Sectional Meeting, Section "Special Session on SYZ Mirror Symmetry and Enumerative Geometry", University of Hawaii at Manoa, Honolulu, Mar 2224
 "From algebraic curves to tropical curves to Lagrangian submanifolds", colloquium, Kansas State University, Manhattan, Mar 7.
 "Period integrals from wall structures", Mseminar, Kansas State University, Manhattan, Mar 7.
 "Introduction to toric degenerations and their smoothings", graduate minicourse, Kansas State University, Manhattan, Mar 4,6,8
 "A Tropical TQFT that computes multiplicities of tropical curves", Geometry seminar, UT Austin, Feb 28
 "Smoothing toroidal crossing varieties", geometry seminar, Cambridge, Feb 13
 "Smoothing toroidal crossing varieties", Oberseminar, Hannover, Jan 17
 2018
 "From algebraic curves to tropical curves to Lagrangian submanifolds", Pure Math colloquium, Univ. Hamburg, Oct 30
 "Smoothing toroidal crossing varieties", Recent developments in Higgs theory, Moscow, Oct 2227
 "Smoothing toroidal crossing varieties", seminar, Seattle, Oct 9.
 "Smoothing toroidal crossing varieties", Edinburgh Geometry (EDGE) seminar, Oct 2.
 "Constructing Lagrangian Submanifolds in CalabiYau
threefolds from tropical curves", seminar, IC London, Sep 14
 "How tropical curves give a swift proof of the degeneration formula", "Degenerate contributions to enumerative invariants" workshop at IC London, July 30Aug 03
 "Higher genus mirror symmetry for the elliptic curve, proof of Si Li", at school "Enumerative invariants from differential graded Lie algebras and categories", Montegufoni, Italy, Mar 29
 "An introduction to generalized theta functions", Singularities, Toric Geometry and Differential Equations, Chemnitz, Mar 1923
 MittagLeffler from Feb 25Mar 17
 "Local GromovWitten invariants are log invariants", Seminar, Univ. of Utah, Feb 3
 "Tropical Construction of Lagrangian Submanifolds", Univ. Heidelberg, Jan 15
 "Duality of polyhedral cones and mirror symmetry for algebraic curves", Univ. Münster, Jan 10
 2017
 "Analyticity of GrossSiebert CalabiYau families", Conference: Mirror Symmetry and Related Topics 2017, Kyoto, Dec 1115
 "Factoring multiplicities of tropical curves via an Linfinity structure on polyvector fields", video, Workshop: A∞structures in geometry and representation theory, HIM Bonn, Dec 0408, 2017
 "Analyticity of GrossSiebert CalabiYau families", Workshop: Young Researchers in String Mathematics, MPIM Bonn, Nov 2730, 2017
 "Local GromovWitten invariants are log invariants", RTG seminar, Hamburg, Oct 30Nov 3, 2017
 "Analyticity of GrossSiebert CalabiYau families", Mirror Symmetry and Fano Manifolds, London, Oct 2426, 2017
 "Local and Relative GromovWitten Invariants", Algebraic Geometry and Moduli Seminar at ETH Zürich, Sep 22, 2017
 "Tropical Geometry and Mirror Symmetry" (slides), Annual meeting of the Austrian and German mathematical society, Salzburg, Sep 1115, 2017
 "Descendant log GromovWitten invariants for toric varieties and tropical curves", Tropical curve counts, motivic integration and nonarchimedean geometry, workshop supported by this SPP, Tübingen, Mar 2731, 2017.
 "Three applications of log GromovWitten invariants", conference and winter school Mirror Symmetry, Tropical Geometry, GelfandKapranovZelevinsky APhilosophy and Beyond, KIAS, Seoul, Feb 27Mar 3, 2017
 Three lectures at School on Cluster Algebras and Log GW Invariants, Feb 2022, 2017
 "Tropical descendant GromovWitten invariants", Utrecht, Feb 7, 2017

2016
I was a member of the Institute of Advanced Study in Princeton for the program on homological mirror symmetry from Sep 10Dec 26, 2016
 "Onedimensional K3 mirror families", Reading Course at IAS Princeton, Nov 23, Nov 30, 2016
 "Introduction to Logarithmic GromovWitten invariants", Homological Mirror Symmetry (minicourse), IAS Princeton, Oct 26, Oct 28, 2016
 "Tropical geometry via logarithmic geometry", "Convexity in Algebraic Geometry" workshop, Fields Institute, Toronto, Oct 37, 2016
 "Logarithmic GromovWitten invariants", lecture series, Workshop on moduli and mirror symmetry, Alpensia Resort, Korea, Aug 812, 2016
 "Two applications of Logarithmic GromovWitten invariants", ECM satellite conference, Hannover, July 1316, 2016
 "Counting real and complex curves in toric varieties  a tropical view", Manin's Seminar, Bonn, Jun 28, 2016
 "Tropical descendent log GromovWitten invariants", "CalabiYau varieties: Arithmetic, geometry and physics" workshop, Herstmonceux Castle in East Sussex, UK, June 2026, 2016
 "BlockGöttsche type invariants in higher dimensions", Seminar Algebraische Geometrie, FU Berlin, May 30, 2016
 "Canonical coordinates of canonical CalabiYau families", UT Austin Backporch seminar @ Sean Keel, Apr. 13, 2016
 "Tropical descendent GromovWitten invariants" (video), "Homological Mirror Geometry" workshop, Banff, Alberta, Mar 611, 2016
 "Tropical descendent GromovWitten invariants", Number theory seminar, Copenhagen university, Feb 26, 2016
 "Tropical descendent GromovWitten invariants", conference "Algebraic and Tropical Geometry", Bar Ilan University, Ramat Gan, Israel, Jan 1016, 2016
 2015
 "Counting curves  complex and tropical", colloquium talk, UBC Vanouver, Dec 4, 2015
 "Analycity and Versality of GrossSiebert families", Workshop at the Simons Center on Collapsing CalabiYau manifolds", Aug 31Sep 4, 2015
 "Minilectures on the GrossSiebert program" (videos), Simons Center program on "Moduli spaces and singularities in algebraic and Riemannian geometry", Aug 26Aug 28, 2015
 "Periods for canonical coordinates", Workshop for the Hodge theory FRG, University of Maryland, 22 August, 2015
 "Canonical CalabiYau families" (slides), AMS Summer Research Institute on Algebraic Geometry, University of Utah, Salt Lake City, 23 July, 2015
 "A proof of Morrison's Conjecture", Oberseminar Arithmetische und Algebraische Geometrie, LMU Munich, July 8, 2015
 "Reconstructing CalabiYau manifolds, periods and cycles" (videos), plenary lecture series at the KIAS school Introduction to the GrossSiebert program, KIAS, Seoul, 710th May, 2015
 "A proof of Morrison's Conjecture", University of Zürich, May 4, 2015
 "Canonical CalabiYau families", Oberseminar "Algebra, Geometrie und Zahlentheorie", Universität Essen, April 31, 2015
 "Canonical Coordinates in Toric Degenerations", MFO workshop on "Mirror Symmetry, Hodge Theory and Differential Equations", Oberwolfach, April 2015
 "Canonical CalabiYau families", University of Alberta, April 10, 2015
 "A proof of Morrison's Conjecture", MFO workshop on "Complex Algebraic Geometry", Oberwolfach, March 2015
 "Canonical CalabiYau families", KU Leuven, Feb 20, 2015