Research interests

I am interested in conformal field theory in two dimensions mainly (but not limited) from the perspective of the vertex operator algebra.

Papers

Preprints

1. S. Koshida and R. Sato, ``On resolution of highest weight modules over the N=2 superconformal algebra", arXiv:1810.13147.

Published

1.  S. Koshida, ``Module categories of the generic Virasoro VOA and quantum groups", SIGMA 21, 039 (2025). arXiv:2207.12969. [Link]

2.  S. Koshida ``Planar algebras for the Young graph and the Khovanov Heisenberg category", Int. J. Math. 36, 2550002 (2025). arXiv:2307.07465. [Link]

3.  S. Koshida, ``Normalized characters of symmetric groups and Boolean cumulants via Khovanov's Heisenberg category", J. Comb. Theory Ser. A. 196, 105735 (2023). arXiv:2110.15743. [Link]

4.  S. Koshida and K. Kytölä, ``The quantum group dual of the first-row subcategory for the generic Virasoro VOA", Commun. Math. Phys. 389, 1135–1213 (2022). arXiv:2105.13839. [Link]

5.  M. Katori and S. Koshida, ``Three phases of multiple SLE driven by non-colliding Dyson's Brownian motions", J. Phys. A: Math. Theor. 54, 325002 (2021). arXiv:2011.10291. [Link]

6. S. Koshida, ``Free field theory and observables of periodic Macdonald processes", J. Comb. Theory Ser. A. 182, 105473 (2021). arXiv:2001.04607. [Link]

7.  S. Koshida, ``Multiple backward Schramm—Loewner evolution and coupling with Gaussian free field", Lett. Math. Phys. 111, 30 (2021). arXiv:1908.07180. [Link]

8.  S. Koshida, ``Pfaffian point processes from free fermion algebras; perfectness and conditional measures", SIGMA 17, 008 (2021). arXiv:2005.02837. [Link]

9.  S. Koshida, ``Free field approach to the Macdonald process", arXiv:1905.07087, J. Algebr. Comb. 54, 223—263 (2021). [Link]

10.  M. Katori and S. Koshida, ``Conformal welding problem, flow line problem, and multiple Schramm—Loewner evolution", J. Math. Phys. 61, 083301 (2020), arXiv:1903.09925. [Link]

11.  S. Koshida, ``Coset construction of Virasoro minimal models and coupling of Wess—Zumino—Witten theory with Schramm—Loewner evolution", Rev. Math. Phys. 31, 1950037 (2019), arXiv:1809.09432. [Link]

12.  S. Koshida, ``Schramm—Loewner—evolution-type growth processes corresponding to Wess—Zumino—Witten theories", Lett. Math. Phys. 109, 1397—1413 (2019), arXiv:1710.03835. [Link]

13.  S. Koshida, ``Note on Schramm-Loewner evolution for superconformal algebras", Theor. Math. Phys. 199, 501—512 (2019), arXiv:1805.02891. [Link]

14.  S. Koshida, ``Local martingales associated with Schramm-Loewner evolutions with internal symmetry", J. Math. Phys. 59, 101703 (2018), arXiv:1803.06808. [Link]

15.  S. Koshida, ``Schramm-Loewner evolution with Lie superalgebra symmetry",  Int. J. Mod. Phys. A 33, 1850117 (2018), arXiv:1803.09579. [Link]

16.  S. Koshida and Y. Kato, ``Perturbative Approach to Superfluidity under Nonuniform Potential", J. Phys. Soc. Jpn. 85, 124603/1—12 (2016). [Link]

Proceedings

1.   M. Katori and S. Koshida, ``Gaussian Free Fields Coupled with Multiple SLEs Driven by Stochastic Log-Gases", Advanced Studies in Pure Mathematics 87, 315-340 (2021). arXiv:2001.03079.

2.  S. Koshida and Y. Kato, ``Perturbation Theory for Superfluid in Nonuniform Potential", J. Low Temp. Phys. 183, 71—77 (2016). [Link]

Review article

1.  S. Koshida, ``From multiple SLE/GFF-coupling to dynamical random matrix theory'', Butsuri 76 (9), 584—588 (2021). (Japanese) [Accepted manuscript]

Talks

1.  ``Planar algebras for the Young graph and the Khovanov Heisenberg category", FiRST workshop for young researchers, Mar. 11, 2025 [Slides].

2. ``From multiple SLE/GFF coupling to dynamical random matrices", IWOTA2023, Jul 31, 2023 [Slides].

3.  ``Quantum group dual of the generic Virasoro vertex operator algebra", University of Helsinki Mathematical Physics Seminar, Sep 14, 2022.

4.  ``Normalized characters of symmetric groups and Boolean cumulants via Khovanov’s Heisenberg category", Kraków Combinatorics Seminar, Apr 11, 2022.

5.  ``Khovanov's Heisenberg category and the characters of the symmetric groups", Toruń Algebra Seminar, Apr. 5, 2022.

6.  ``From multiple SLE/GFF-coupling to dynamical random matrices", Melbourne—Bielefeld Random Matrices Seminar, Mar. 16, 2022, over Zoom.

7.  ``The quantum group dual of the first-row modules for the generic Virasoro VOA", Finnish Mathematical Days 2022, Jan. 5, 2022, over Zoom.

8.  ``Normalized characters of symmetric groups and Boolean cumulants via Khovanov’s Heisenberg category", UC Berkeley Probabilistic Operator Algebra Seminar, Nov. 22, 2021, over Zoom.

9.  ``The quantum group dual of the first-row modules for the generic Virasoro VOA", RIMS Representation Theory Seminar, Jul. 29, 2021, over Zoom.

10.  ``Multiple Schramm—Loewner evolution driven by Dyson’s Brownian motions", 東北大確率論セミナー, Nov. 6, 2020, over Zoom (Japanese). 

11.  ``Pfaffian point processes from CAR algebras", Junior Integrable Probability Seminar, May 7, 2020, over Zoom.

12.  ``Coupling of multiple Schramm—Loewner evolution and Gaussian free field", 東京確率論セミナー, Jan. 20, 2020, 慶應義塾大学日吉キャンパス (Japanese).

13.  ``Multiple backward Schramm—Loewner evolution and coupling with Gaussian free field", Rigorous Statistical Mechanics and Related Topics, Nov. 18-21, 2019 at RIMS, Kyoto University.

14.  ``Coupling of multiple Schramm—Loewner evolution and Gaussian free field", Aalto stochastics and statistics seminar, Oct. 21, 2019 at Aalto University.

15.  ``Free Field Approach to the Macdonald Process", School and Workshop on Random Matrix Theory and Point Processes, Sep. 23-27, 2019 at International Center for Theoretical Physics, Trieste.

16.  ``Coupling of Gaussian free field with multiple Schramm—Loewner evolution", Mini-Workshop `Free Probability and Related Topics’ at Chuo University, Aug. 13-14, 2019 at Chuo University.

17.  ``From conformal welding to Dyson model via multiple Schramm—Loewner evolution", 名古屋確率論セミナー, Jun. 24, 2019, 名古屋大学 (Japanese).

18.  ``Schramm—Loewner evolution with internal degrees of freedom", International Workshop on  Conformal Dynamics and Loewner Theory, Sept. 5-7, 2018 at Tohoku University.

Last updated: 10 Apr. 2025