Dr. Makiko Mase

Dr. Makiko Mase

University of Mannheim
Fakultät für Wirtschafts­informatik und Wirtschafts­mathematik
B6, 26 – Room B 4.12
68159 Mannheim
  • Short CV

    • 2003-2007: Rikkyo University, Department of Mathematics (Bachelor Programme)
    • April 2007-March 2009: Nagoya University, Graduate School of Mathematics (Master Programme)
    • April 2009-March 2012: Tokyo Metropolitan University, Graduate School of Science and Engineering, Major in Mathematics and Information sciences (Doctoral Programme)
    • 2007–2012: Teaching Assistant at Nagoya University (2007-2009) and Tokyo Metropolitan University (2009-2012)
    • 2012/2013–Present: Visiting Researcher at Tokyo Metropolitan University and Osaka City University
    • 2012-2019: Part-time lecturer at Kanagawa Institute of Technology, Saitama University, Tokyo Metropolitan University, International Christian University, Waseda University, Rikkyo University, Keio University
    • 2019–Present: University of Mannheim, Assistant
  • Teaching

    Teaching in the spring-summer term 2021: Seminar on continued fractions

    Teaching in the autumn-winter term 2020: Seminar on Matrix Groups

    Older teaching: see Lehre, vergangene Semester

  • Research interests

    • K3 surfaces
    • Picard lattices
    • Singularities
    • Mirror Symmetry
    • Integral monodromy
  • Publications

    • [1] Correspondence among families of Gorenstein K3 surfaces in certain Q-Fano 3-folds, Dissertation, Tokyo Metropolitan University, (25 March 2012).
    • [2] (with M. KOBAYASHI) Isomorphism among families of weighted K3 hypersurfaces, Tokyo J. Math., vol.35, No.2, pp.461–467 (2012).
    • [3] (with M. KOBAYASHI and K. UEDA) A note on exceptional unimodal singularities and K3 surfaces, International Mathematics Research Notices 2013; 2013:1665-1690, 28 March 2013 (doi: 10.1093/imrn/rns098). Published online at imrn.oxfordjournals.org on 13 March 2012.
    • [4] Families of K3 surfaces in smooth Fano 3-folds, Commentarii Mathematici Univ. St. Pauli, vol. 61, No.2, pp.103–114 (2012).
    • [5] Families of K3 surfaces in smooth Fano 3-folds with Picard number 2, Vietnam Journal of Mathematics, vol.42, No.3, pp.295–304 (2014).
    • [6] (with K. UEDA) A note on bimodal singularities and mirror symmetry, Manuscripta Math., published online on 31 August 2014, vol.146, Issue 1–2, pp.153–177 (2015), DOI 10.1007/s00229-014-0693-7.
    • [7] A mirror duality for families of K3 surfaces associated to bimodular singularities, Manuscripta Math., published online on 26 September 2015, vol. 149, Issue 3–4, pp.389–404 (2016), DOI 10.1007/s00229-015-0788-9.
    • [8] (with M.-J. BERTIN, A. GARBAGNATI, R. HORTSCH, O. LECACHEUX, C. SALGADO, and U. WHITCHER) Classifications of elliptic fibrations of a singular K3 surface, in Women in Numbers Europe Research Directions in Number Theory, Association for Women in Mathematics Series vol. 2, M.-J. Bertin, A. Bucur, B. Feigon, L.Schneps eds, pp.17–50, Springer 2015.
    • [9] Polytope duality for families of K3 surfaces associated to transpose duality, Commentarii Math. St. Pauli., vol. 65, No.2, pp.131–139 (2016).
    • [10] Lattice duality for families of K3 surfaces associated to transpose duality, Manuscripta Math., published online on 10 April 2017, vol. 155, Issue 1–2, pp.61–76 (2018), DOI 10.1007/s00229-017-0936-5.
    • [11] Families of K3 surfaces and curves of (2, 3)-torus type, Kodai Math. J., vol. 42, pp.409-430 (2019).
    • [12] (with J. KOMEDA) Curves on weighted K3 surfaces of degree two with symmetric Weierstrass semigroups, to appear in Tsukuba J. Math..
    • [13] Polytope duality for families of K3 surfaces and coupling. Bulletin of the Brazilian Mathematical Society, New Series (2020), published online on 24 June 2020 at https://doi.org/10.1007/s00574-020-00215-8
    • [14] (with C. HERTLING) The integral monodromy of isolated quasihomogeneous singularities. Accepted for publication in the journal Algebra and Number Theory. Preprint version arXiv:2009.08053v1, 84 pages, 2020.


    • [14] Polytope duality for families of K3 surfaces associated to singularities Q16 and S16, arXiv:1910.10600v1, 5 pages, 2019.
    • [15] Lattice duality for coupling pairs admitting polytope duality with trivial toric contribution, arXiv:1910.10943v1, 23 pages, 2019.
    • [16] (with C. HERTLING) The integral monodromy of the cycle type singularities. arXiv:2009.07533v1, 38 pages, 2020.
    • [17] (with C. HERTLING) The combinatorics of weight systems and characterictic polynomials of isolated quasihomogeneous singularities, arXiv:2108.02295v1, 25 pages, 2021.