BIMSA > Yuuji Tanaka
Assistant Professor Yuuji Tanaka

Group: Algebraic Geometry

Office: A15-103

Email: ytanaka@bimsa.cn

Research Field: Algebraic Geometry, Gauge theory

Webpage: https://sites.google.com/view/yuuji-tanaka/

Biography

My research interests are primarily centred on Gauge theory within mathematics. Recently, my focus has been on semistable Higgs sheaves on complex projective surfaces and associated gauge-theoretic invariants, employing algebro-geometric methods. However, I also have a strong interest in working within the analytic category.

Honors and Awards

  • 2024      The JAG Best Paper Award (with Richard P. Thomas)
  • 2021      JSPS Grant-in-Aid for Scientific Research, 21K03246 (3,770,000 JPY)
  • 2016      JSPS Grant-in-Aid for Scientific Research, 16K05125 (3,900,000 JPY)
  • 2010      Marie-Curie International Incoming Fellowship, the European Commission (164,269.69 EUR)

Publication

  • [1] T. Ito, A. Kanemitsu, T. Takamatsu, Y. Tanaka, Quintic del Pezzo threefolds in positive and mixed characteristic, 44 pp (2025)
  • [2] N Kuhn, O Leigh, Y Tanaka, The blowup formula for the instanton part of Vafa-Witten invariants on projective surfaces, accepted by Algebraic Geometry (2025)
  • [3] Dino Festi, Daniel Platt, Ragini Singhal, Yuuji Tanaka, Examples of real stable bundles on K3 surfaces, 19pp (2025)
  • [4] T. Ito, A. Kanemitsu, T. Takamatsu, Y. Tanaka, Arithmetic finiteness of Mukai varieties of genus 7, 42pp (2024)
  • [5] M Galdeano, D Platt, Y Tanaka, L Wang, Spin (7)-instantons on Joyce's first examples of compact Spin (7)-manifolds (2023)
  • [6] J. Gross, D. Joyce, Y. Tanaka, Universal structures in C-linear enumerative invariant theories, SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, 18, 068 (2022)
  • [7] CC Liu, S Rayan, Y Tanaka, The Kapustin–Witten equations and nonabelian Hodge theory, European Journal of Mathematics, 8(Suppl 1), 23-41 (2022)
  • [8] N. Kuhn, Y. Tanaka, A blowup formula for virtual enumerative invariants on projective surfaces, 117pp (2021)
  • [9] Y. Tanaka, R. P. Thomas, Vafa-Witten invariants for projective surfaces I: stable case, JOURNAL OF ALGEBRAIC GEOMETRY, 29, 603-668. (2020)
  • [10] D. Joyce, Y. Tanaka, M. Upmeier, On orientations for gauge-theoretic moduli spaces, Advances in Mathematics, 362, 106957 (2020)
  • [11] Y Tanaka, A perturbation and generic smoothness of the Vafa–Witten moduli spaces on closed symplectic four-manifolds, Glasgow Mathematical Journal, 61(2), 471-486 (2019)
  • [12] Y Tanaka, On the singular sets of solutions to the Kapustin–Witten equations and the Vafa–Witten ones on compact Kähler surfaces, Geometriae Dedicata, 199(1), 177-187 (2019)
  • [13] Y Tanaka, Some boundedness properties of solutions to the Vafa–Witten equations on closed 4-manifolds, The Quarterly Journal of Mathematics, 68(4), 1203-1225 (2017)
  • [14] Y. Tanaka, R. P. Thomas, Vafa-Witten invariants for projective surfaces II: semistable case, Pure and Applied Mathematics Quarterly, 13(3), 517-562 (2017)
  • [15] Y Tanaka, On the moduli space of Donaldson-Thomas instantons, Extracta Mathematicae, 31(1), 89-107 (2016)
  • [16] Y Tanaka, Stable sheaves with twisted sections and the Vafa–Witten equations on smooth projective surfaces, Manuscripta Mathematica, 146(3), 351-363 (2015)
  • [17] Y Tanaka, Seiberg-Witten type equations on compact symplectic 6-manifolds, arXiv preprint arXiv:1407.1934, 2014, 26 pp (2014)
  • [18] Y Tanaka, A removal singularity theorem of the Donaldson–Thomas instanton on compact Kähler threefolds, Journal of Mathematical Analysis and Applications, 411(1), 422-428 (2014)
  • [19] Y Tanaka, A weak compactness theorem of the Donaldson–Thomas instantons on compact Kähler threefolds, Journal of Mathematical Analysis and Applications, 408(1), 27-34 (2013)
  • [20] Y. Tanaka, A construction of Spin(7)-instantons, Annals of Global Analysis and Geometry, 42, 495-521 (2012)

 

Update Time: 2025-07-23 17:51:24