Publications

  1. Stable proper biharmonic maps in Euclidean spheres (with Anna Siffert) 
    accepted for publication in Ann. Sc. Norm. Super. Pisa Cl. Sci. 
    [arXiv:2507.06708]
  2. A family of triharmonic maps to spheres in all dimensions greater than two (with Anna Siffert) 
    accepted for publication in Israel J. Math. 
    [arXiv:2502.11898]
  3. Remarks on constructing biharmonic and conformal-biharmonic maps to spheres 
    Comm. Anal. Geom. 33 (2025), no. 7, 1597-1628 
    [journal][arXiv:2501.08804]
  4. On conservation laws for polyharmonic maps 
    Recent advances in differential geometry and related areas, 49–65, Contemp. Math., 821, Amer. Math. Soc., [Providence], RI, 2025 
    [journal][arXiv:2312.09815]
  5. Infinite families of harmonic self-maps of ellipsoids in all dimensions (with Anna Siffert) 
    Nonlinear Anal. 261 (2025), Paper No. 113874 
    [journal][arXiv:2210.17240]
  6. On the normal stability of the 4-harmonic and the ES-4-harmonic hypersphere 
    J. Differential Equations 424 (2025), 586-636 
    [journal][arXiv:2405.03313]
  7. More weakly biharmonic maps from the ball to the sphere 
    J. Geom. Anal. 35 (2025), no. 1, Paper No. 23 
    [journal][arXiv:2403.02104]
  8. Classification results for polyharmonic helices in space forms 
    C. R. Math. Acad. Sci. Paris 362 (2024), 1521-1537 
    [journal][arXiv:2306.04446]
  9. Eigenvalue estimates on weighted manifolds (with Georges Habib) 
    Results Math. 79 (2024), no. 5, Paper No. 187 
    [journal][arXiv:2201.06375]
  10. On p-biharmonic curves 
    J. Math. Anal. Appl. 538 (2024), no. 2, 128384 
    [journal][arXiv:2206.15249]
  11. On harmonic and biharmonic maps from gradient Ricci solitons 
    Math. Nachr. 296 (2023), no. 11, 5109–5122 
    [journal][arXiv:2205.09544]
  12. On the normal stability of triharmonic hypersurfaces in space forms 
    J. Geom. Anal. 33 (2023), no. 11, Paper No. 355 
    [journal][arXiv:2304.02387]
  13. On p-harmonic self-maps of spheres (with Anna Siffert) 
    Calc. Var. Partial Differential Equations 62 (2023), no. 4, Paper No. 139 
    [journal][arXiv:2208.00705]
  14. Polyharmonic hypersurfaces into pseudo-Riemannian space forms (with Stefano Montaldo, Cezar Oniciuc and Andrea Ratto) 
    Ann. Mat. Pura Appl. (4) 202 (2023), no. 2, 877–899 
    [journal][arXiv:2106.07888]
  15. Unique continuation properties for polyharmonic maps between Riemannian manifolds (with Stefano Montaldo, Cezar Oniciuc and Andrea Ratto) 
    Canad. J. Math. 75 (2023), no. 1, 1–28 
    [journal][arXiv:2101.01066]
  16. On polyharmonic helices in space forms 
    Arch. Math. 120, 213–225 (2023) 
    [journal][arXiv:2109.13747]
  17. On the equivariant stability of harmonic self-maps of cohomogeneity one manifolds (with Anna Siffert) 
    J. Math. Anal. Appl. 517 (2023), no. 2, Paper No. 126635 
    [journal][arXiv:2107.03715]
  18. Dirac-harmonic maps with potential 
    Lett. Math. Phys. 112 (2022), no. 4, Paper No. 67 
    [journal][arXiv:1912.01885]
  19. On finite energy solutions of 4-harmonic and ES-4-harmonic maps 
    J. Geom. Anal. 31 (2021), no. 8, 8666–8685 
    [journal][arXiv:2009.07068]
  20. Harmonic maps with torsion 
    Sci. China Math. 64 (2021), no. 7, 1373–1390 
    [journal][arXiv:2002.06880]
  21. A structure theorem for polyharmonic maps between Riemannian manifolds 
    J. Differential Equations 273 (2021), 14–39 
    [journal][arXiv:1901.08445]
  22. Some analytic results on interpolating sesqui-harmonic maps 
    Ann. Mat. Pura Appl. (4) 199 (2020), no. 5, 2039–2059 
    [journal][arXiv:1907.04167]
  23. Higher order energy functionals (with Stefano Montaldo, Cezar Oniciuc and Andrea Ratto) 
    Adv. Math. 370 (2020), 107236 
    [journal][arXiv:1906.06249]
  24. On the evolution of regularized Dirac-harmonic maps from closed surfaces 
    Results Math. 75 (2020), no. 2, Paper No. 57 
    [journal][arXiv:1406.6274]
  25. On interpolating sesqui-harmonic maps between Riemannian manifolds 
    J. Geom. Anal. 30 (2020), no. 1, 248–273 
    [journal][arXiv:1801.09562]
  26. A nonexistence theorem for proper biharmonic maps into general Riemannian manifolds (with Yong Luo) 
    J. Geom. Phys. 148 (2020), 103557 
    [journal][arXiv:1806.11441]
  27. The stress-energy tensor for polyharmonic maps 
    Nonlinear Anal. 190 (2020), 111616 
    [journal][arXiv:1903.06432]
  28. Nonlinear Dirac equations, monotonicity formulas and Liouville theorems 
    Comm. Math. Phys. 372 (2019), no. 3, 733–767 
    [journal][arXiv:1605.03453]
  29. Unique continuation theorems for biharmonic maps (with Cezar Oniciuc) 
    Bull. Lond. Math. Soc. 51 (2019), no. 4, 603–621 
    [journal][arXiv:1808.09792]
  30. Stable cosmological Kaluza-Klein spacetimes (with David Fajman and Klaus Kröncke) 
    Comm. Math. Phys. 368 (2019), no. 3, 1087–1120 
    [journal][arXiv:1804.04934]
  31. Energy methods for Dirac-type equations in two-dimensional Minkowski space 
    Lett. Math. Phys. 109 (2019), no. 2, 295–325 
    [journal][arXiv:1706.05971]
  32. A vanishing result for the supersymmetric nonlinear sigma model in higher dimensions 
    J. Geom. Phys. 134 (2018), 1–10 
    [journal][arXiv:1805.02216]
  33. A global weak solution to the full bosonic string heat flow 
    J. Evol. Equ. 18 (2018), no. 4, 1819–1841 
    [journal][arXiv:1710.09242]
  34. A Liouville-type theorem for biharmonic maps between complete Riemannian manifolds with small energies 
    Arch. Math. (Basel) 111 (2018), no. 3, 329–336 
    [journal][arXiv:1712.03870]
  35. A note on twisted Dirac operators on closed surfaces 
    Differential Geom. Appl. 60 (2018), 54–65 
    [journal][arXiv:1601.07816]
  36. Global existence of Dirac-wave maps with curvature term on expanding spacetimes (with Klaus Kröncke) 
    Calc. Var. Partial Differential Equations 57 (2018), no. 5, Paper No. 119 
    [journal][arXiv:1709.06520]
  37. An estimate on the nodal set of eigenspinors on closed surfaces 
    Math. Z. 288 (2018), no. 1-2, 1–10 
    [journal][arXiv:1510.01200]
  38. Magnetic geodesics via the heat flow (with Florian Hanisch) 
    Asian J. Math. 21 (2017), no. 6, 995–1014 
    [journal][arXiv:1411.6848]
  39. On conservation laws for the supersymmetric sigma model 
    Results Math. 72 (2017), no. 4, 2181–2201 
    [journal][arXiv:1703.05681]
  40. Some remarks on energy inequalities for harmonic maps with potential 
    Arch. Math. (Basel) 109 (2017), no. 2, 151–165 
    [journal][arXiv:1609.07391]
  41. The Ricci flow with metric torsion on closed surfaces (with Klaus Kröncke) 
    J. Geom. Anal. 27 (2017), no. 3, 2098–2117 
    [journal][arXiv:1606.09121]
  42. On the full bosonic string from Minkowski space to Riemannian manifolds 
    J. Math. Anal. Appl. 451 (2017), no. 2, 858–872 
    [journal][arXiv:1611.08199]
  43. Magnetic geodesics on surfaces with singularities (with Wayne Rossman) 
    Pac. J. Math. Ind. 9 (2017), Art. 3 
    [journal][arXiv:1604.02009]
  44. The normalized second order renormalization group flow on closed surfaces 
    Adv. Theor. Math. Phys. 20 (2016), no. 5, 1167–1191 
    [journal][arXiv:1503.07462]
  45. The heat flow for the full bosonic string 
    Ann. Global Anal. Geom. 50 (2016), no. 4, 347–365 
    [journal][corrections][arXiv:1510.08758]
  46. Energy estimates for the supersymmetric nonlinear sigma model and applications 
    Potential Anal. 45 (2016), no. 4, 737–754 
    [journal][arXiv:1506.06973]
  47. Dirac-harmonic maps with torsion 
    Commun. Contemp. Math. 18 (2016), no. 4, 1550064 
    [journal][arXiv:1405.5100]
  48. The evolution equations for regularized Dirac-geodesics 
    J. Geom. Phys. 100 (2016), 1–19 
    [journal][arXiv:1311.3581]
  49. Some aspects of Dirac-harmonic maps with curvature term 
    Differential Geom. Appl. 40 (2015), 1–13 
    [journal][arXiv:1412.4705]
  50. Magnetic Dirac-harmonic maps 
    Anal. Math. Phys. 5 (2015), no. 1, 23–37 
    [journal][arXiv:1307.3133]
  51. BPS Wilson loops in N=4 supersymmetric Yang-Mills theory: examples on hyperbolic submanifolds of space-time (with Nadav Drukker) 
    Phys. Rev. D 79 (2009), no. 10, 106006 
    [journal][arXiv:0902.4586]