Complete list of Publications

Preprints

  1. On the normal stability of the 4-harmonic and the ES-4-harmonic hypersphere
    [arXiv:2405.03313]
  2. On conformal biharmonic maps and hypersurfaces (with Simona Nistor and Cezar Oniciuc)
    [arXiv:2311.04493]
  3. Infinite families of harmonic self-maps of ellipsoids in all dimensions (with Anna Siffert)
    [arXiv:2210.17240]

Publications

  1. More weakly biharmonic maps from the ball to the sphere
    accepted for publication in J. Geom. Anal.
    [arXiv:2403.02104]
  2. On conservation laws for polyharmonic maps
    accepted for publication in Contemp. Math.
    [arXiv:2312.09815]
  3. Classification results for polyharmonic helices in space forms
    C. R. Math. Acad. Sci. Paris 362 (2024), 1521-1537
    [journal] [arXiv:2306.04446]
  4. Eigenvalue estimates on weighted manifolds (with Georges Habib)
    Results Math. 79 (2024), no. 5, Paper No. 187
    [journal] [arXiv:2201.06375]
  5. On p-biharmonic curves
    J. Math. Anal. Appl. 538 (2024), no. 2, 128384
    [journal] [arXiv:2206.15249]
  6. On harmonic and biharmonic maps from gradient Ricci solitons
    Math. Nachr. 296 (2023), no. 11, 5109–5122
    [journal] [arXiv:2205.09544]
  7. On the normal stability of triharmonic hypersurfaces in space forms
    J. Geom. Anal. 33 (2023), no. 11, Paper No. 355
    [journal] [arXiv:2304.02387]
  8. 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]
  9. 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]
  10. 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]
  11. On polyharmonic helices in space forms
    Arch. Math. 120, 213–225 (2023)
    [journal] [arXiv:2109.13747]
  12. 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]
  13. Dirac-harmonic maps with potential
    Lett. Math. Phys. 112 (2022), no. 4, Paper No. 67
    [journal] [arXiv:1912.01885]
  14. 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]
  15. Harmonic maps with torsion
    Sci. China Math. 64 (2021), no. 7, 1373–1390
    [journal] [arXiv:2002.06880]
  16. A structure theorem for polyharmonic maps between Riemannian manifolds
    J. Differential Equations 273 (2021), 14–39
    [journal] [arXiv:1901.08445]
  17. Some analytic results on interpolating sesqui-harmonic maps
    Ann. Mat. Pura Appl. (4) 199 (2020), no. 5, 2039–2059
    [journal] [arXiv:1907.04167]
  18. Higher order energy functionals (with Stefano Montaldo, Cezar Oniciuc and Andrea Ratto)
    Adv. Math. 370 (2020), 107236
    [journal] [arXiv:1906.06249]
  19. On the evolution of regularized Dirac-harmonic maps from closed surfaces
    Results Math. 75 (2020), no. 2, Paper No. 57
    [journal] [arXiv:1406.6274]
  20. On interpolating sesqui-harmonic maps between Riemannian manifolds
    J. Geom. Anal. 30 (2020), no. 1, 248–273
    [journal] [arXiv:1801.09562]
  21. A nonexistence theorem for proper biharmonic maps into general Riemannian manifolds (with Yong Luo)
    J. Geom. Phys. 148 (2020), 103557
    [journal] [arXiv:1806.11441]
  22. The stress-energy tensor for polyharmonic maps
    Nonlinear Anal. 190 (2020), 111616
    [journal] [arXiv:1903.06432]
  23. Nonlinear Dirac equations, monotonicity formulas and Liouville theorems
    Comm. Math. Phys. 372 (2019), no. 3, 733–767
    [journal] [arXiv:1605.03453]
  24. Unique continuation theorems for biharmonic maps (with Cezar Oniciuc)
    Bull. Lond. Math. Soc. 51 (2019), no. 4, 603–621
    [journal] [arXiv:1808.09792]
  25. Stable cosmological Kaluza-Klein spacetimes (with David Fajman and Klaus Kröncke)
    Comm. Math. Phys. 368 (2019), no. 3, 1087–1120
    [journal] [arXiv:1804.04934]
  26. Energy methods for Dirac-type equations in two-dimensional Minkowski space
    Lett. Math. Phys. 109 (2019), no. 2, 295–325
    [journal] [arXiv:1706.05971]
  27. A vanishing result for the supersymmetric nonlinear sigma model in higher dimensions
    J. Geom. Phys. 134 (2018), 1–10
    [journal] [arXiv:1805.02216]
  28. A global weak solution to the full bosonic string heat flow
    J. Evol. Equ. 18 (2018), no. 4, 1819–1841
    [journal] [arXiv:1710.09242]
  29. 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]
  30. A note on twisted Dirac operators on closed surfaces
    Differential Geom. Appl. 60 (2018), 54–65
    [journal] [arXiv:1601.07816]
  31. 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]
  32. An estimate on the nodal set of eigenspinors on closed surfaces
    Math. Z. 288 (2018), no. 1-2, 1–10
    [journal] [arXiv:1510.01200]
  33. Magnetic geodesics via the heat flow (with Florian Hanisch)
    Asian J. Math. 21 (2017), no. 6, 995–1014
    [journal] [arXiv:1411.6848]
  34. On conservation laws for the supersymmetric sigma model
    Results Math. 72 (2017), no. 4, 2181–2201
    [journal] [arXiv:1703.05681]
  35. Some remarks on energy inequalities for harmonic maps with potential
    Arch. Math. (Basel) 109 (2017), no. 2, 151–165
    [journal] [arXiv:1609.07391]
  36. 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]
  37. 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]
  38. Magnetic geodesics on surfaces with singularities (with Wayne Rossman)
    Pac. J. Math. Ind. 9 (2017), Art. 3
    [journal] [arXiv:1604.02009]
  39. The normalized second order renormalization group flow on closed surfaces
    Adv. Theor. Math. Phys. 20 (2016), no. 5, 1167–1191
    [journal] [arXiv:1503.07462]
  40. The heat flow for the full bosonic string
    Ann. Global Anal. Geom. 50 (2016), no. 4, 347–365
    [journal] [corrections] [arXiv:1510.08758]
  41. Energy estimates for the supersymmetric nonlinear sigma model and applications
    Potential Anal. 45 (2016), no. 4, 737–754
    [journal] [arXiv:1506.06973]
  42. Dirac-harmonic maps with torsion
    Commun. Contemp. Math. 18 (2016), no. 4, 1550064
    [journal] [arXiv:1405.5100]
  43. The evolution equations for regularized Dirac-geodesics
    J. Geom. Phys. 100 (2016), 1–19
    [journal] [arXiv:1311.3581]
  44. Some aspects of Dirac-harmonic maps with curvature term
    Differential Geom. Appl. 40 (2015), 1–13
    [journal] [arXiv:1412.4705]
  45. Magnetic Dirac-harmonic maps
    Anal. Math. Phys. 5 (2015), no. 1, 23–37
    [journal] [arXiv:1307.3133]
  46. 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]

Thesis