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Geometric Analysis Reading Seminar

• Fall 2025

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Research

• Area-minimizing capillary cones (with R. Tsiamis and Y. Wang)
  [ arXiv ]
  
  
• Stability inequalities for one-phase cones (with R. Tsiamis and Y. Wang)
  [ arXiv ]
  
  
• Homogeneous optimal transport maps between oblique cones (with T. C. Collins and F. Tong)
  [ arXiv ]
  
  
• On a general class of free boundary Monge-Ampère equations (with T. C. Collins)
  [ arXiv ]
  
  
• Uniqueness of cylindrical tangent cones C_p,q × ℝ (with R. Tsiamis and Y. Wang)
  [ arXiv ] To appear in Calc. Var. & PDE
  
  
• Cohomogeneity two Ricci solitons with sub-Euclidean volume (with R. Tsiamis)
  [ arXiv ] [ Journal ] J. Geom. Anal. 35, 407 (2025).
  
  
• Complete Calabi-Yau metrics from smoothing Calabi-Yau complete intersections
  [ arXiv ] [ Journal ] Geom. Dedicata (2024) 218:46
  
  
• Impact Hamiltonian systems and polygonal billiards (with L. Becker, S. Elliott, S. Gonen Cohen, M. Pnueli, V. Rom-Kedar)
  [ arXiv ] [ Journal ] Hamiltonian Systems: Dynamics, Analysis, Applications. Mathematical Sciences Research Institute Publications. Cambridge University Press; 2024:29-66.
  
  

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Expository

• Senior Thesis: Mostow Rigidity and Hyperbolic 3-Manifolds (advised by Curt McMullen)
  Recipient of the Hoopes Prize and the Friends Prize
  [ PDF ]
  
  

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Presentations

• NYU Courant Geometric Analysis & Topology Seminar
  [ December 5, 2025 ]
  
  
• University of Maryland Informal Geometric Analysis Seminar
  [ November 18, 2025 ]
  
  
• Columbia University Geometric Analysis Seminar
  [ November 9, 2025 ]
  
  
• University of Copenhagen (GeoTop) Workshop on Geometry and PDEs
  [ September 25, 2025 ]
  
  
• Brown University Workshop on Topics in Differential Geometry
  [ June 11, 2025 ]
  
  
• MIT Pure Math Graduate Student Seminar (PUMAGRASS)
  [ May 2, 2025 ]
  
  
• Rutgers Geometric Analysis Seminar
  [ April 22, 2025 ]
  
  
• AMS New England Grad Student Conference (PDE) at Brown University
  [ April 19, 2025 ]
  
  
• Sapienza Università di Roma Calculus of Variations and PDE's in Geometric Analysis
  [ January 22, 2025 ]
  
  
• Hebrew University in Jerusalem Geometry and Topology Seminar
  [ January 16, 2025 ]
  
  
• Technion University PDE and Applied Mathematics Seminar
  [ January 14, 2025 ]
  
  
• University of Granada Seminario de geometría
  [ July 8, 2024 ]
  
  
• Harvard Special Lecture for Friends Prize Recipient
  [ April 28, 2023 ]
  
  
• Harvard Math Table
  [ March 29, 2023 ]
  
  
• Stanford Special Geometry Seminar
  [ February 23, 2023 ]
  
  
• Joint Mathematics Meeting 2023: AMS Contributed Paper Session in Geometry
  [ January 5, 2023 ]
  
  
• RTG Partial Differential Equations on Manifolds: Undergraduate Analysis and PDE Seminar (with T. C. Collins)
  [ November 18, 2022 ]
  
  

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Teaching

• Harvard Math 123: Algebra II (Rings, Fields, Galois theory) taught by Curt McMullen
  [ Spring 2023 Course Assistant ]
  
  
• Harvard Math 101: Sets, Groups, and Knots taught by Curt McMullen
  [ Fall 2022 Course Assistant ]
  
  
• Harvard Math 123: Algebra II (Rings, Fields, Galois theory) taught by Mark Kisin
  [ Spring 2022 Course Assistant ]
  
  
• Harvard Math 114: Measure, Integration, Banach Spaces, Duality, and Fourier analysis taught by Dennis Gaitsgory
  [ Fall 2021 Course Assistant ]
  
  
• Harvard Math 55b: Topology and Real/Complex analysis taught by Joe Harris
  [ Spring 2020 Course Assistant ]
  
  
• Harvard Math 55a: Algebra (Group theory, linear algebra, representation theory) taught by Joe Harris
  [ Fall 2019 Course Assistant ]
  
  

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CV

• CV (last updated January 2026)

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Community

• I am a UROP mentor.
• I am a PRIMES mentor.
• I am a GUMMI mentor.
• I am a tutor for Winthrop house.

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