Papers for Euler Circle differential geometry, Summer 2025 Session 2
Aaditya Bilakanti, Palaash Gang, and Thantham Jittham:
Group actions and Möbius symmetries in hyperbolic tessellations
Aarav Shah:
DeRham cohomology
Aarush Kulkarni:
An introduction to Lie groups
Aayaan Ali Muhammad:
Calculus on manifolds
Adhit Mandal:
Calculus on manifolds: from differential forms to Stokes' Theorem
Aeris Chang:
Poincaré-Hopf Theorem
Akul Kumar:
Higher-dimensional differential geometry and topology: a survey work
Aleksei Lopatin:
On minimal surfaces
Anant Chebiam:
Higher-dimensional differential geometry and differential topology
Anish Sankar:
Lie groups and Lie algebras
Anna Deng:
Symplectic geometry
Anshveer Bindra, Nathan Lee, and Isabelle Wu:
From homology to De Rham cohomology
Aryana Udayar:
The Tait-Kneser Theorem
Benjamin Li:
A sphere eversion using ruled surfaces and its parameters
Brandon Muliadi and Sahiti Doke:
The Bonnet-Myers Theorem
Cameron Rampell:
Minimal surfaces
Cecilia Belej:
An introduction to hyperbolic geometry
Derek Aoki:
Perfect diffeomorphism groups
Dragos Gligor:
Lie groups
Elijah Fingerman:
The calculus of variations
Hariharan Senthilkumar:
Morse theory
Howard Qian:
Differential geometry and calculus of variations in AI and physics
Irmak Zelal Cengiz:
Plateau's problem--minimal surfaces
Jason Tae:
Plateau's problem
Lincoln Meyer:
Generalizations of the isoperimetric inequality
Marigold Strupp:
Lie groups and Lie algebras
Michael Kabanovsky:
De Rham cohomology: the bridge between differential geometry and topology
Mihir Gupta:
The brachistochrone: Euler-Lagrange, the cycloid, and Snell's law
Neil Krishnan:
Lie groups and Lie algebras
Om Lala:
On symplectic geometry
Pranav Krishnapram:
An exposition on minimal surfaces
Prashanth Prabhala:
De Rham cohomology
Reyd Brenner:
Symplectic geometry
Richard Mai:
Calculus on manifolds
Rishi Balaji:
Calculus of variations
Rohan Senapati:
Curvature in control: exploring the Tait-Kneser Theorem
Roy Yaranga-Almeida:
Isometries of the hyperbolic plane
Ryan Bansal:
Plateau's problem
Sai Chintagunta and Yaasiin Noor:
Lie groups
Shiven Uppal:
Hyperbolic geometry
Siyu (Charles) Zhang:
Minimal surfaces
Talha Ashraf:
Calculus on manifolds
Vasilisa Baginskaya and Stephen Zhou:
The calculus of variations
Vedant Valluri:
Hodge theory on Riemannian manifolds
Xinyang (Thalia) Qian:
Hyperbolic geometry