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Helge Ruddat

HR
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.

Institut für Mathematik
Raum 04-221
JGU Mainz
Staudingerweg 9
D-55128 Mainz

Tel. +49-6131-39-23606
ruddat ät uni-mainz.de
Imagination

 

Papers

      My papers on the arXiv.
      1. Descendant log Gromov-Witten invariants for toric varieties and tropical curves, preprint: arxiv:1612.02402 (with Travis Mandel)
      2. Motivic Zeta Functions of the Quartic and its Mirror Dual, to appear in Proceedings of Symposia in Pure Mathematics "Calabi-Yau Manifolds and their Moduli; and Quantum Curves and Quantum Knot Invariants", ed. Bouchard, Doran, Méndez-Diez, and Quigley, (with J.Nicaise, P.Overholser)
      3. Canonical Coordinates in Toric Degenerations, preprint: arxiv:1409.4750 (with B.Siebert)
      4. An Introduction to Hodge Structures, in "Calabi-Yau Varieties: Arithmetic, Geometry and Physics: Lecture Notes on Concentrated Graduate Courses", Fields Institute Monographs 34, ed. Laza, Schütt, Yui; arXiv:1412.8499v2 , (with S.Filippini, A.Thompson)
      5. Enumerative aspects of the Gross-Siebert program, in "Calabi-Yau Varieties: Arithmetic, Geometry and Physics: Lecture Notes on Concentrated Graduate Courses", Fields Institute Monographs 34, ed. Laza, Schütt, Yui; arXiv:1410.4783 , (with P.Overholser, M.van Garrel)
      6. Perverse Curves and Mirror Symmetry, J. Algebraic Geom. 26 (2017) p.17-42; preprint: arxiv:1309.1803
      7. Skeleta of Affine Hypersurfaces, Geometry & Topology 18 (2014); preprint: arXiv:1211.5263 (with N.Sibilla, D.Treumann, E.Zaslow)
      8. Mirror Duality of Landau-Ginzburg models via Discrete Legrende Transforms, in "Homological Mirror Symmetry and Tropical Geometry", Lecture Notes of the Unione Matematica Italiana, Vol. 15 (2014); preprint: arXiv:1204.5611
      9. Towards Mirror Symmetry for Varieties of General Type, Advances in Mathematics 308 (2017) 208–275, preprint: arXiv:1202.4042 (with M.Gross, L.Katzarkov)
      10. Log Hodge groups on a toric Calabi-Yau degeneration, in "Mirror Symmetry and Tropical Geometry", Contemporary Mathematics, vol. 527, Amer. Math. Soc., Providence, RI, 2010, pp. 113-164. preprint paper1.ps preprint paper1.pdf (full dissertation: Freidok ALU Freiburg)
      11. Partielle Auflösung eines torischen log-Calabi-Yau-Raumes (German), Diplom thesis, ALU Freiburg, 2005, thesis

       

      Posters

        1. "Calabi-Yau 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

        1. Emmy Noether Kolloquium, I am organizing this colloquium in Mainz funded by my Emmy grant
        2. Intensive Course on Intersection TheoryJul 26-28, 2016, I organized this course in Mainz funded by my Emmy grant
        3. Irregular Hodge Structures and Stability Conditions, I am co-organizing this school in Mainz that is going to take place Feb 29-Mar 4, 2016
        4. "Hodge theoretic aspects of mirror symmetry", A workshop I co-organized in 2012


        Teaching

          1. summer 2016: MSC seminar: Enumerative Geometrie (in German)
          2. winter 2015/16: MSC seminar: Birational Geometry of Degenerations (in German)
          3. winter 2014/15: Algebraische Geometrie II
          4. summer 2014: Algebraische Geometrie I
          5. summer 2012: Geometrie, Algebra und Zahlentheorie (Übungen betreut und unterrichtet)
          6. winter 2012/13: Riemannsche Flächen und Algebraische Kurven (Übungen betreut und unterrichtet)
          7. summer 2011: Geometrie, Algebra und Zahlentheorie (Übungen betreut und unterrichtet)


          Invited Talks

            • 2017
            1. TBD, "Tropical curve counts, motivic integration and nonarchimedean geometry", workshop supported by this SPP, Tübingen, Mar 27-31, 2017.
            2. TBD, conference and winter school Mirror Symmetry, Tropical Geometry, Gelfand-Kapranov-Zelevinsky A-Philosophy and Beyond, KIAS, Seoul, Feb 27-Mar 3, 2017
            3. Three lectures at School on Cluster Algebras and Log GW Invariants, Feb 20-22, 2017
            4. "Tropical descendant Gromov-Witten invariants", Utrecht, Feb 7, 2017
            1. "One-dimensional K3 mirror families", Reading Course at IAS Princeton, Nov 23, Nov 30, 2016
            2. "Introduction to Logarithmic Gromov-Witten invariants", Homological Mirror Symmetry (minicourse), IAS Princeton, Oct 26, Oct 28, 2016 
            3. "Tropical geometry via logarithmic geometry", "Convexity in Algebraic Geometry" workshop, Fields Institute, Toronto, Oct 3-7, 2016
            4. "Logarithmic Gromov-Witten invariants", lecture series, Workshop on moduli and mirror symmetry, Alpensia Resort, Korea, Aug 8-12, 2016
            5. "Two applications of Logarithmic Gromov-Witten invariants", ECM satellite conference, Hannover, July 13-16, 2016
            6. "Counting real and complex curves in toric varieties - a tropical view", Manin's Seminar, Bonn, Jun 28, 2016
            7. "Tropical descendent log Gromov-Witten invariants", "Calabi-Yau varieties: Arithmetic, geometry and physics" workshop, Herstmonceux Castle in East Sussex, UK, June 20-26, 2016
            8. "Block-Göttsche type invariants in higher dimensions", Seminar Algebraische Geometrie, FU Berlin, May 30, 2016
            9. "Canonical coordinates of canonical Calabi-Yau families", UT Austin Backporch seminar @ Sean Keel, Apr. 13, 2016
            10. "Tropical descendent Gromov-Witten invariants" (video), "Homological Mirror Geometry" workshop, Banff, Alberta, Mar 6-11, 2016
            11. "Tropical descendent Gromov-Witten invariants", Number theory seminar, Copenhagen university, Feb 26, 2016
            12. "Tropical descendent Gromov-Witten invariants", conference "Algebraic and Tropical Geometry", Bar Ilan University, Ramat Gan, Israel, Jan 10-16, 2016
            • 2015 
            1. "Counting curves - complex and tropical", colloquium talk, UBC Vanouver, Dec 4, 2015
            2. "Analycity and Versality of Gross-Siebert families", Workshop at the Simons Center on Collapsing Calabi-Yau manifolds", Aug 31-Sep 4, 2015
            3. "Mini-lectures on the Gross-Siebert program" (videos), Simons Center program on "Moduli spaces and singularities in algebraic and Riemannian geometry", Aug 26-Aug 28, 2015
            4. "Periods for canonical coordinates", Workshop for the Hodge theory FRG, University of Maryland, 22 August, 2015
            5. "Canonical Calabi-Yau families" (slides), AMS Summer Research Institute on Algebraic Geometry, University of Utah, Salt Lake City, 23 July, 2015
            6. "A proof of Morrison's Conjecture", Oberseminar Arithmetische und Algebraische Geometrie, LMU Munich, July 8, 2015
            7. "Reconstructing Calabi-Yau manifolds, periods and cycles" (videos), plenary lecture series at the KIAS school Introduction to the Gross-Siebert program, KIAS, Seoul, 7-10th May, 2015
            8. "A proof of Morrison's Conjecture", University of Zürich, May 4, 2015
            9. "Canonical Calabi-Yau families", Oberseminar "Algebra, Geometrie und Zahlentheorie", Universität Essen, April 31, 2015
            10. "Canonical Coordinates in Toric Degenerations", MFO workshop on "Mirror Symmetry, Hodge Theory and Differential Equations", Oberwolfach, April 2015
            11. "Canonical Calabi-Yau families", University of Alberta, April 10, 2015
            12. "A proof of Morrison's Conjecture", MFO workshop on "Complex Algebraic Geometry", Oberwolfach, March 2015
            13. "Canonical Calabi-Yau families", KU Leuven, Feb 20, 2015
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