Short visit Grant, National Science Foundation. Mason with undergraduate mathematics entrance interviews. Advances in Topology, Oxford, UK. Higgs bundles and A,B,A -branes , with D. Representations, Lie theory and physics.
Music Conservatory, La Plata, Argentina. Exchange program Grant, National Science Foundation. Real structures on moduli spaces of Higgs bundles. Advances in Topology, Oxford, UK. Here is my Project In the case of dendrites, Reiter’s local two-dimensional model provides a realistic approach to the study of dendrite growth.
July Mini-course on spectral data for Higgs bundles Singapore, Singapore. Here is my Project Through the use of spectral data associated to Higgs bundles, we realize the correspondences via fibre product of spectral curves.
 Spectral data for G-Higgs bundles
Through combinatorial methods, I could obtain an explicit description of the monodromy action on the mod 2 cohomology for SL 2,C Higgs bundles, and by understanding the orbits, scchaposnik information about the connected components of the moduli space of real SL 2,R Higgs bundles. International Mathematics Research Notices, Topology of moduli spaces of representations, March Miraflores, Spain In this paper we obtain a new geometric rule that incorporates interface control, a basic mechanism of crystallization that is not taken into account in the original Reiter’s model.
View of Oxford from the tower of New College.
DPhil thesis, University of Oxford Argentinian West Green Street, Phone: We begin here a program to study exceptional isogenies between classical Lie groups at the level of Higgs bundles and representation theory. This work is based on arXiv: Spectral data for G-Higgs bundles.
Heidelberg Laureate Forum, Heidelberg, Germany.
Here lauea investigate this situation, which corresponds to the coalescence of D-branes in physics terminology, including the case of Sp m,m -Higgs bundles studied in arXiv: Spectral data for principal Higgs Bundles. January and June Nonabelianization of Higgs bundles, with N.
II Latinoamerican conference on Lie groups in geometry.
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Iberoamerican meeting on geometry, mechanics and control. In this work we constructed natural A,B,A -branes associated to anti-holomorphic involutions on compact Riemann surfaces.
Summer School on the moduli space of Higgs bundles. July Singapore, Singapore. August La Cumbre, Cordoba, Argentina. Anna Wienhard Post-doc reference. My first approach to principal Higgs bundles was when looking at the monodromy action for SL 2,R Higgs bundles. A symplectic approach to constrained mechanical systems.
Motohico Mulase UC Davis mulase math. Here is my CV.
After hearing a lot on Langlands duality and branes in the moduli space of Higgs bundles hereI started looking at what different A,B,A and B,A,A branes could be constructed in the moduli spaces of principal Higgs bundles. Higgs bundles and projective structures. Annual meeting of the Argentinian Mathematics Society. After hearing a lot on Langlands duality and branes in the moduli space of Higgs bundles hereI started looking at what different A,B,A and B,A,A branes could be constructed in the moduli spaces of principal Higgs bundles.
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