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The course is evaluated with assignments (60%), and a final exam (40%).
Applications are now CLOSED
Lecture Notes
Lecture Notes
Lecture Notes
(In progress, updates after every lecture)
Mini Courses
Danilo Lewański  [Riemann Surfaces and Their Moduli Spaces]
Song Sun [Geometry of Einstein Metrics]
Jan Manschot [Topological Correlators of Supersymmetric Yang-Mills and Four-Manifold Invariants]
Guest TalkUrsula Hamenstädt [Geometric Structures on Surfaces]
Clifford Taubes [What we know and don’t know about the (smooth) structure and classification of 4-dimensional spaces]
Daniel Freed [A fully local extension of Chern–Simons theory]
LITERATURE
LITERATURE
Differential Geometry
John Lee. Introduction to Smooth Manifolds.
Loring W. Tu. An Introduction to Manifolds.
Mikio Nakahara. Geometry, Topology and Physics.Riemannian Geometry
John Lee. Introduction to Riemannian Manifolds.Complex Geometry
Daniel Huybrechts. Complex Geometry: An Introduction.
Claire Voisin. Hodge Theory and Complex Algebraic Geometry I.
Phillip Griffiths and Joseph Harris. Principles of Algebraic Geometry.Differential Geometry and Physics
Eguchi, Gilkey, Hanson. Gravitation, Gauge Theories and Differential Geometry.Â
successfully passed students
successfully passed students
Ivan Alvarado 🇲🇽 Â
(Universidad Veracruzana, MX)
Camilo Daza 🇨🇴
(University of Los Andes, CO)
Arsh Dhawan 🇮🇳
(Indian Institute of Science Education and Research-Bhopal, IN)
Edison GarcÃa 🇪🇨
(Universidad San Francisco de Quito, EC)
Javier GarcÃa 🇻🇪
(Universidad Simón BolÃvar, VE)
Nicolás Hernández 🇨🇴
(Universidad Industrial de Santander, CO)
Eduardo Jimenez ðŸ‡ðŸ‡³
(Universidad Nacional Autonoma de Honduras, HN)
Tomonari Maeda🇯🇵
(Sophia University, JP)
Cristhian Martinez🇨🇴
(The University of Valle, CO)
Pedro Moreno🇻🇪
(Universidad Simón BolÃvar, VE)
Bui Nguyen Huu🇻🇳
(Nanyang Technological University, SG)
Shuller Olivares 🇵🇪 Â
(National University of Engineering, PE)
Subrat Parida 🇮🇳
(Pondicherry University, IN)
Fabian Poisot 🇲🇽 Â
(Universidad Nacional Autónoma de México, MX)
Rashmi Sarwal🇮🇳
(University of Sheffield, UK)
Yuvraj Thapa🇮🇳
(NISER, Bhubaneswar, IN)
Alexander Trigoso🇵🇪  Â
(National University of Engineering, PE)
Guest SPEAKERs
Guest SPEAKERs
Daniel Freed
Director of CMSA, Harvard University
Ursula Hamenstädt
Universität Bonn
Danilo Lewański
University of Trieste
Kaoru Ono
RIMS, Kyoto University
Song Sun
IASM, Zhejiang University
Clifford Taubes
Harvard University
Teaching assistanTS
Teaching assistanTS
Julian Alzate
IMJ-Paris Rive Gauche &
Institut Élie Cartan de LorraineÂ
Anis Bousclet
SISSA
Lecturer
Lecturer
OrganizerÂ
OrganizerÂ
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