Interdisciplinary (DNA topology; Materials science)

1. Engineering tertiary chirality in helical biopolymers
Jordan Janowski, Van A.B. Pham, Simon Vecchioni, Karol Woloszyn, Brandon Lu, Yijia Zou, Betel Erkalo, Lara Perren, Joe Rueb, Jesse Madnick, Chengde Mao, Masahico Saito, Yoel P. Ohayon, Natasa Jonoska, Ruojie Sha.  ChemRxiv  Proc. Natl. Acad. Sci. U.S.A. (2024)

Pure Mathematics (Differential geometry; Geometric analysis)

18. Holomorphicity of parabolic stable minimal surfaces of high codimension.
Joint with Da Rong Cheng, Spiro Karigiannis.  arXiv:2509.22155 (Sep 2025)  Submitted.  16 pages.

17. Gauge theory on T*CP2: Explicit Sp(2)-instantons, HYM connections, and Spin(7)-instantons.
Joint with Izar Alonso, Emily Windes.  arXiv:2508.17119  (Aug 2025)  29 pages.

16. Hyperbolicity and Schwarz Lemmas in Calibrated Geometry.
Joint with Kyle Broder, Anton Iliashenko.  arXiv:2507.16313  (July 2025)  Submitted.  40 pages.

15. On Sp(n)-Instantons and the Fourier-Mukai Transform of Complex Lagrangians.
Joint with Emily Windes.  arXiv:2407.06412 Communications in Mathematical Physics (2025) 406:216.

14. The Morse Index of Quartic Minimal Hypersurfaces.
Joint with Gavin Ball, Uwe Semmelmann.  arXiv:2310.19404  (Oct 2023)  Submitted.  29 pages.

13. Calibrated Geometry in Hyperkähler Cones, 3-Sasakian Manifolds, and Twistor Spaces.
Joint with Benjamin Aslan, Spiro Karigiannis.  arXiv:2308.11831 Canadian Journal of Mathematics (2024) 1-59.

12. A Spinorial Hopf Differential for Associative Submanifolds.
Joint with Gavin Ball.  arXiv:2305.14508  Pure and Applied Mathematics Quarterly 20 (2024), no. 6, 2601-2614.

11. Associative Submanifolds of Squashed 3-Sasakian Manifolds.
Joint with Gavin Ball.  arXiv:2208.10622  To appear in Selecta Mathematica.

10. Cohomogeneity-One Lagrangian Mean Curvature Flow.
Joint with Albert Wood.  arXiv:2208.01574  Mathematische Annalen 391 (2025), 4325-4388.

9. A Variational Characterization of Calibrated Submanifolds.
Joint with Da Rong Cheng, Spiro Karigiannis.  arXiv:2204.08591 Calculus of Variations and PDE 62, 174 (2023).

8. The Second Variation of Null-Torsion Holomorphic Curves in the 6-Sphere.
arXiv:2101.09580 The Journal of Geometric Analysis 32, 295 (2022).

7. Free-Boundary Problems for Holomorphic Curves in the 6-Sphere.
arxiv:2105.10562 Mathematische Zeitschrift 303, 85 (2023).

6. Free-Boundary Minimal Surfaces of Constant Kähler Angle in Complex Space Forms.
arXiv:2007.03127  Revisions requested by Mathematical Research Letters.  7 pages.

5. Associative Submanifolds of the Berger Space.
Joint with Gavin Ball.  arXiv:2003.13169  Communications in Analysis and Geometry 31 (2023), no. 5, 1125-1175

4. The Mean Curvature of Special Lagrangian 3-folds in SU(3)-Structures.
Joint with Gavin Ball.  arxiv:1905.03713  Journal of Geometry and Physics 162 (2021).

3. The Mean Curvature of First-Order Submanifolds in Exceptional Geometries with Torsion.
Joint with Gavin Ball.  arxiv:1909.08119  Annals of Global Analysis and Geometry 59 (2021), 27-67

2. Bubble Tree Convergence of Conformally Cross Product Preserving Maps.
Joint with Da Rong Cheng, Spiro Karigiannis.  arxiv:1909.03512 Asian Journal of Mathematics 24 (2020), no. 6, 903-984

1. Nearly-Kähler 6-Manifolds of Cohomogeneity Two: Principal Locus.
arxiv:1710.05254  Communications in Analysis and Geometry 30 (2022), no. 3, 523-574.