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, Arithmetic finiteness of Mukai varieties of genus 7, arXiv:2409.20046, 42pp (2024)
  • [2] M. Galdeano, D. Platt, Y. Tanaka, L. Wang, Spin(7)-instantons on Joyce's first examples of compact Spin(7)-manifolds, arXiv:2310.03451, 70pp (2023)
  • [3] J. Gross, D. Joyce, Y. Tanaka, Universal structures in ℂ-linear enumerative invariant theories, SIGMA, 18, 61pp. Special Issue on Enumerative and Gauge-Theoretic Invariants in honor of Lothar Göttsche on the occasion of his 60th birthday. (2022)
  • [4] N. Kuhn, O. Leigh, Y. Tanaka, The blow-up formula for the instanton part of the Vafa-Witten invariants on projective surfaces, arXiv:2205.12953, 20pp (2022)
  • [5] C.-C. Liu, S. Rayan, Y. Tanaka, The Kapustin-Witten equations and nonabelian Hodge theory, Eur. J. Math., 8, 23-41. (2022)
  • [6] N. Kuhn, Y. Tanaka, A blowup formula for virtual enumerative invariants on projective surfaces, arXiv:2107.08155, 117pp (2021)
  • [7] Y. Tanaka, R. P. Thomas, Vafa-Witten invariants for projective surfaces I: stable case, J. Algebraic Geom. , 29, 603-668. (2020)
  • [8] D. Joyce, Y. Tanaka, M. Upmeier, On orientations for gauge-theoretic moduli spaces, Adv. Math. , 362, 106957 (2020)
  • [9] Y. Tanaka, A perturbation and generic smoothness of the Vafa-Witten moduli spaces on closed symplectic four-manifolds, Glasg. Math. J. , 61, 471-486. (2019)
  • [10] Y. Tanaka, On the singular sets of solutions to the Kapustin-Witten equations and the Vafa-Witten ones on compact Kahler surfaces, Geom. Dedicata, 177-187. (2019)
  • [11] Y. Tanaka, R. P. Thomas, Vafa-Witten invariants for projective surfaces II: semistable case, Pure Appl. Math. Q. , 13, 517-562. Special Issue in Honor of Simon Donaldson. (2018)
  • [12] Y. Tanaka, Some boundedness properties of solutions to the Vafa-Witten equations on closed 4-manifolds, Q. J. Math. , 68, 1203-1225. (2017)
  • [13] Y. Tanaka, On the moduli space of the Donaldson-Thomas instanton, Extracta Math., 31, 89-107. (2016)
  • [14] Y. Tanaka, Stable sheaves with twisted sections and the Vafa-Witten equations on smooth projective surfaces, Manuscripta Math. , 146, 351-363. (2015)
  • [15] Y. Tanaka, A removal singularity theorem of the Donaldson-Thomas instantons on compact Kahler threefolds, J. Math. Anal. and Appl., 411, 422-428. (2014)
  • [16] Y. Tanaka, A weak compactness theorem of the Donaldson-Thomas instantons on compact Kahler threefolds, J. Math. Anal. and Appl., 408, 27-34. (2013)
  • [17] Y. Tanaka, A construction of Spin(7)-instantons, Ann. Global Anal. Geom., 42, 495-521. (2012)

 

Update Time: 2025-05-13 13:54:51