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  1. ; ; (, Journal fĂŒr die reine und angewandte Mathematik (Crelles Journal))
    Abstract For a simple, simply connected complex affine algebraic group đș, we prove the existence of a flat projective connection on the bundle of nonabelian theta functions on the moduli spaces of semistable parabolic đș-bundles for families of smooth projective curves with marked points. 
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  2. ; ; ; (, Moduli)
    Abstract Following the work of Mazzeo–Swoboda–Weiß–Witt [Duke Math. J. 165 (2016), 2227–2271] and Mochizuki [J. Topol. 9 (2016), 1021–1073], there is a map$$\overline{\Xi }$$between the algebraic compactification of the Dolbeault moduli space of$${\rm SL}(2,\mathbb{C})$$Higgs bundles on a smooth projective curve coming from the$$\mathbb{C}^\ast$$action and the analytic compactification of Hitchin’s moduli space of solutions to the$$\mathsf{SU}(2)$$self-duality equations on a Riemann surface obtained by adding solutions to the decoupled equations, known as ‘limiting configurations’. This map extends the classical Kobayashi–Hitchin correspondence. The main result that this article will show is that$$\overline{\Xi }$$fails to be continuous at the boundary over a certain subset of the discriminant locus of the Hitchin fibration. 
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  3. ; ; ; (, Geometriae Dedicata)
    Free, publicly-accessible full text available June 1, 2026
  4. ; ; (, Letters in Mathematical Physics)
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  5. ; ; (, International Mathematics Research Notices)
    For a simple, simply connected, complex group G, we prove an explicit formula to compute the Atiyah class of parabolic determinant of cohomology line bundle on the moduli space of parabolic G-bundles. This generalizes an earlier result of Beilinson-Schechtman. 
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  6. ; (, Mathematical Research Letters)
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  7. ; ; ; ; ; ; ; ; ; ; et al (, Notices of the American Mathematical Society)
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  8. (, The Journal of Geometric Analysis)