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Welcome. I am an Assistant Professor in Mathematics and Statistics at the University of Birmingham with the group of Geometry and Mathematical Physics.

My recent research on video for a LMS workshop, for an INI workshop, and in slides.

Here are links to my papers on the arXiv, to my Google Scholar profile and my CV.

Publications and preprints:

  1. Stable maps to Looijenga pairs built from the plane
  2. Stable maps to Looijenga pairs, joint with P. Bousseau and A. Brini, accepted to Geom. Topol.
  3. Prelog Chow rings and degenerations, joint with C. Böhning and H.-C. von Bothmer, Rend. Circ. Mat. Palermo (2), Special Issue: Rationality Problems
  4. Prelog Chow groups of self-products of degenerations of cubic threefolds, joint with C. Böhning and H.-C. von Bothmer, Eur. J. Math., vol. 8 (2022), no. 1, 260-290
  5. Stable maps to Looijenga pairs: orbifold examples, joint with P. Bousseau and A. Brini, Lett. Math. Phys., vol. 111 (2021), no. 4, Boris Dubrovin Memorial Issue
  6. On the log-local principle for the toric boundary, joint with P. Bousseau and A. Brini, Bull. Lond. Math. Soc., (2022), no. 1, 161-181.
  7. Sheaves of maximal intersection and multiplicities of stable log maps, joint with J. Choi, S. Katz and N. Takahashi, Selecta Math. (N.S.), vol. 27 (2021), no. 4
  8. Log BPS numbers of log Calabi-Yau surfaces, joint with J. Choi, S. Katz and N. Takahashi, Trans. Amer. Math. Soc., vol. 374 (2021), 687-732
  9. Local BPS Invariants: Enumerative Aspects and Wall-Crossing, joint with J. Choi, S. Katz and N. Takahashi, Int. Math. Res. Not., vol. 2020, no. 17, 5450–5475
  10. Local Gromov-Witten Invariants are Log Invariants, joint with T. Graber and H. Ruddat, Adv. Math., vol. 350 (2019), 860-876
  11. Logarithmic Enumerative Geometry and Mirror Symmetry, joint with D. Abramovich and H. Ruddat, Oberwolfach Rep., vol. 16 (2019), no. 2, 1639-1695
  12. A constructive approach to a conjecture by Voskresenskii, joint with M. Florence, Selecta Math. (N.S.), vol. 23 (2017), no. 4, 2899-2906
  13. On a conjecture by N. Takahashi on log mirror symmetry for the projective plane, Adv. Stud. Pure Math., vol. 83 (2019), Primitive forms and related subjects – Kavli IPMU 2014.
  14. Local and relative BPS state counts for del Pezzo surfaces, Proc. Sympos. Pure Math., vol. 93 (2016), String-Math 2014.
  15. Enumerative aspects of the Gross-Siebert program, joint with P. Overholser and H. Ruddat, Calabi-Yau Varieties: Arithmetic, Geometry and Physics, Fields Inst. Monogr., vol. 34 (2015)
  16. Introduction to Donaldson-Thomas and stable pair invariants, Calabi-Yau Varieties: Arithmetic, Geometry and Physics, Fields Inst. Monogr., vol. 34 (2015)
  17. Integrality of relative BPS state counts of toric del Pezzo surfaces, joint with T. Wong and G. Zaimi, Commun. Number Theory Phys., vol. 7 (2013), no. 4, 671-687

My name in Korean 미셸, in Japanese 魅志江流 and in Chinese 米歇尔.

Some lectures on the Gross-Siebert program and other bits of maths.

And one of my favorite pieces of music.