Welcome to Yu-Shen Lin's Home Page

I am now an Assistant Professor at Boston University. My research interest mainly falls in the interplay between Enumerative Geometry, Differential Geometry and Mirror Symmetry.

I am co-organizing the BU Geometry & Physics Seminar with Brian Williams this year, meeting every Wednesday 4--5pm. Feel free to join us or email me if you are interested to give a talk!

My research is supported by NSF standard grant DMS-2204109 and also a Simons Collaboration grant.

Student Supervised

  • Sam Bardwell-Evans (2023) (IBS-CGP)
  • Sidharth Soundararajan
  • Research

    My Publication/Preprints:

  • A convergence result for Mean Curvature Flow of totally real submanifolds
  • joint work with T. Collins and A. Jacob, preprint 2024.
  • Collapsing of ALH∗-Gravitational Instantons
  • joint work with Ryosuke Takahashi, preprint 2023.
  • Recent progress on SYZ mirror symmetry for some non-compact Calabi-Yau surfaces
  • joint work with Tristan Collins, preprint 2022, to appear in Survey in Diff. Geom.
  • Period Domains of Gravitational Instantons
  • joint work with Tsung-Ju Lee, Trans. Amer. Math. Soc. 376 (2023), no. 8, 5461–5501.
  • SYZ mirror symmetry for del Pezzo surfaces and affine structures
  • joint work with Siu-Cheong Lau & Tsung-Ju Lee, preprint 2022, to appear in Adv. Math.
  • The Torelli Theorem for ALH* Gravitational Instantons
  • joint work with Tristan Collins & Adam Jacob, Math Forum, Sigma (2022), Vol. 10: e79 1--11.
  • Scattering Diagrams from Holomorphic Discs in Log Calabi-Yau Surfaces
  • joint work with Sam Bardwell-Evans, Man-Wai Cheung and Hansol Hong, preprint 2021, to appear in J. Differ. Geom.
  • Some Examples of Family Floer Mirror
  • joint work with Man-Wai Cheung, preprint 2021. To appear in Adv. Theor. Math. Phys.
  • The SYZ Mirror Symmetry Conjecture for Del Pezzo Surfaces and Rational Elliptic Surfaces
  • joint work with Tristan Collins & Adam Jacob, preprint 2020, submitted.
  • Enumerative Geometry of Del Pezzo Surfaces
  • Trans. Amer. Math. Soc. 377 (2024), no. 5, 3015–3054.
  • On the Complex Affine Structures of SYZ Fibration of Del Pezzo Surfaces
  • joint work with Siu-Cheong Lau & Tsung-Ju Lee, Adv. Theor. Math. Phys. Vol. 26, No. 4 (2022), pp. 921-955.
  • Decomposition of Lagrangian classeson K3 surfaces
  • joint work with Kuan-Wen Lai & Luca Schaffler, Math. Res. Let. Vol. 28, No. 6 (2021), pp. 1739-1763.
  • Special Lagrangian submanifolds of log Calabi-Yau manifolds
  • joint work with Tristan Collins & Adam Jacob, Duke Math. J. 170 (7) 1291 - 1375, May 15, 2021.
  • Bulk-deformed potentials for toric Fano surfaces, wall-crossing and period
  • joint work with Hansol Hong & Jingyu Zhao, Int. Math. Res. Not., Vol. 2022, No. 16, pp. 12699–12766.
  • On the Tropical Discs Counting on Elliptic K3 Surfaces with General Singular Fibres
  • Trans. Amer. Math. Soc. 373 (2020), 1385-1405. arXiv link
  • Correspondence Theorem between Holomoprhic Discs and Tropical Discs on K3 Surfaces
  • J. Diff. Geom. Vol. 117, No. 1 (2021), pp. 41-92.
  • On the Refined of Open Gromov-Witten Invariants on K3 Surfaces
  • Proceedings of the Seventh International Congress of Chinese Mathematicians. Vol. II, 351–366, Adv. Lect. Math. (ALM), 44, Int. Press, Somerville, MA, 2019.
  • Reduced Open Gromov-Witten Invariants on K3 Surfaces and Multiple Cover Formula
  • Adv. Math.333(2018), 1178--1196. arXiv link
  • Open Gromov-Witten Invariants on Elliptic K3 Surfaces and Wall-Crossing
  • Comm. Math. Phys. 349 (2017), no. 1, 109--164 arXiv link
  • Counting Holomorphic Discs on K3 Surfaces
  • Tsinghua lectures in mathematics, 293–314, Adv. Lect. Math. (ALM), 45, Int. Press, Somerville, MA, 2019.
  • Reduced Open Gromov-Witten Invariants on HyperKahler Manifolds
  • Proceedings of the 6th International Congress of Chinese Mathematicians ALM37, pp. 235–252.

    Thesis:

    Past Academic Acitivities:

    I co-organized the Geometry and Analysis Seminar for Boston Area Graduate Students (GASBAGS) with Tristan Collins, Shing-Tung Yau, Siu-Cheong Lau , MIT, Oct 29--30, 2022.

    I co-organized Boston University/Keio University/Tsinghua University Workshop 2022 Geometry and Mathematical Physics at Boston University, Jun 27--Jul 1, 202 (with Steve Rosenberg, Hiroyasu Izeki, Siu-Cheong Lau. Si Li ).

    I co-organized Geometry and Analysis Seminar for Boston Area Graduate Students (BASBAGS) (with Tristan Collins, Shing-Tung Yau, Siu-Cheong Lau ) at MIT, Nov 6--7, 2021.

    I co-organized Boston University/Keio University/Tsinghua University Workshop 2021 Geometry and Mathematical Physics at Boston University, Jun 27--Jul 1, 2021 (with Steve Rosenberg, Hiroyasu Izeki, Siu-Cheong Lau. Si Li ).

    I co-organized a special session "Mirror Symmetry and Enumerative Geometry" in the AMS Spring Eastern Sectional Meeting at Brown University, March 20-21, 2021 (with Siu-Cheong Lau and Man-Wai Cheung).

    I co-organized Boston University/Keio University Workshop 2020 Geometry and Mathematical Physics at Boston University, Jun 29--Jul 3, 2020 Canceled due to COVID-19 (with Steve Rosenberg, Hiroyasu Izeki, Siu-Cheong Lau ).

    I co-organized a Gross-Siebert program learning seminar (with Qile Chen ).

    I co-organized a special session "Mirror Symmetry and Enumerative Geometry" in the AMS Spring Eastern Sectional Meeting at Tufts University, March 20-21, 2020 Canceled due to COVID-19 (with Siu-Cheong Lau and Man-Wai Cheung).

    Some Slides:

  • BU Lightning Talks: Mirror Symmetry, SYZ and Enumerative Geometry (slides)
  • New Construction of Special Lagrangian Fibrations (slides)

  • Visitors since August 12, 2019