Gregory Pearlstein, Visiting Assistant Professor
Please note: Gregory has left the Mathematics department at Duke University; some info here might not be up to date. - Contact Info:
Office Location: | 231 Physics Bldg | Office Phone: | 660-6972 | Email Address: | | - Office Hours:
- Monday and Wednesday 10:30 - 11:30, and by appointment
- Research Interests: Hodge theory & Algebraic Geometry
I study the geometry and arithemtic of algebraic
varieties using Hodge theory (i.e. harmonic forms
and their generalizations). I'm currently working on the following projects:
- Algebraic cycles and normal functions (joint with P. Brosnan);
- Monopoles and degenerations of mixed Hodge structure;
- Limits of mixed Hodge structures and modular forms (joint with R. Hain and A. Jafari);
- Keywords:
- Variation of Hodge structure • Mixed Hodge structure • Higgs bundles • Arakelov geometry
- Curriculum Vitae
- Recent Publications
(More Publications)
(search)
- SL_2 orbits and degenerations of mixed Hodge structure,
Journal of Differential Geometry
(Accepted, August, 2005)
- with P. Brosnan, On the asymptotic behavior of the archimedean height
(Preprint, May, 2005)
- with J. Fernandez, Opposite Filtrations, Variations of Hodge Structure and Frobenius Modules,
in Aspects of Mathematics, vol. E 36
(2004)
- with A. Kaplan, Singularities of variations of mixed Hodge structure,
Asian Journal of Mathematics, vol. 7
(2003)
- G. Pearlstein, On the asymptotic behavior of admissible variations of mixed Hodge structure,
in Algebraic Geometry in East Asia
(2002)
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