Professor Sormani and Professor Allen's
Geometry Research Team
will be meeting this Fall 2024
on Wednesdays 6:15-7:40 pm Online
Faculty Mentors for Fall 2024:
Prof Christina Sormani (Lehman)
Prof Brian Allen (Lehman)
Active Team Members (doing research):
Tasfia Tanjim (Proma) Ahmed (Hunter College Student)
Samuel Briante (City College Student)
Kevin Bui (Queens College Student)
Salma Halim (Lehman Student)
Aleah Hepburn (Lehman Graduate)
Alexandra (Alexa) Kirlan (City College Graduate)
Tabitha Ramirez (City College Student)
Bryan Sanchez (Lehman Student)
Yahaira Torres (Lehman Student)
Thomas Wai Ho Yeung (HKUST Graduate)
Team Mentors for Fall 2024:
Victoria Antonetti (Brown Doctoral Student)
Julinda Pillati Mujo (CUNY Doctoral Student)
Dahkota DeBold(Tennessee Doctoral Student)
Please email Professor Sormani sormanic@gmail.com to join.
Meetings:
September 25 Inspirational Reunion with Guest Speakers from Prior Research Teams:
Smocking Team with Sormani: Esteban Alcantara, Victoria Antonetti, Hindy Drillick, Aleah Hepburn, Ajmain Yamin;
Manifold Learning Team with Prof Lin and Prof Sormani: Dahkota Debold, Alexandra Kirlin, Tabitha Ramirez,
Warped Product Team with Prof Allen: Bryan Sanchez, Yahaira Torres,
October 2 Metric Spaces Meeting (with notes):
Metric Spaces: Circles, Spheres, Euclidean Space, $\ell^\infty$ distance,
One to one, onto, distance preserving, Lipschitz one maps
Truncated Kuratowski maps
Mostly resources for students new to proofs or new to geometry
Research is open ended: you may try new hypotheses to add to the given, or new conclusions, or complete partial proofs or find counter examples.
Some students were paired to work together.
Final Meeting on Truncated Kuratowski Maps
Start of the Asychronous Online Project
Conformally flat geometries
Brill Lindquist Geometrostatic Spaces with Black Holes
Monotone Increasing distances
Monotone Increasing distances
November 7 Meeting
Cancelled due to the Election
Isometries between Riemannian Manifolds
Riemannian Schwarzschild Black Holes
Brian Allen subteam presents
Exploring sequences of Warped Product Spaces
Geometrostatic Schwarzschild Inversion map
Gromov-Hausdorff distance
Scalar Curvature
Extreme Limits Paper
MinA and Minimal Surfaces
Monotone Sequences Paper: Ptwise vs Unif Conv
Meetings resume in January after December 11.